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Summer Gatherings: Casual Food to Enjoy with Family and Friends by Rick Rodgers, features easy seasonal recipes like Soft-Shell Crab BLT Sandwiches; Fried Stuffed Zucchini Blossoms; and Spanish Burgers with Romesco and Manchego Cheese.
Makes 16 blossoms
Harvesting zucchini blossoms is a great way of controlling the amount of summer squash in the garden, and my local farm stands always have piles of them for sale. I usually pass them over, but then, in the same week, two friends of mine, Barbara Caccavella and Marguerite Scandiffio, separately rhapsodized about how their Italian-American families fried up piles of blossoms every summer.
To avoid deep-frying indoors over a hot stove, fry them in batches in an electric skillet outdoors and serve them, hot and crisp, right out of the pan.
1. To make the batter, using a fork, stir the flour and salt in a bowl to combine. Gradually whisk in the club soda to make a batter-there should be a few lumps of flour. Let stand 10 minutes to thicken slightly.
2. Using a small knife, cut a slit down the side of each zucchini blossom, and remove the pistil from inside each blossom. (If a blossom tears, don't worry.) Mix the ricotta, basil, and garlic in a small bowl and season with salt and pepper to taste. Using a small spoon (a demitasse spoon works well), insert a heaping spoonful of the ricotta mixture inside each blossom through the slit. Be sure that the cheese filling is completely enclosed by the blossom. Transfer the blossoms to a platter.
3. Place a wire cake rack on a rimmed baking sheet. Pour enough oil into a large skillet to come halfway up the sides. Heat over high heat until the oil reaches 360°F on a deep-frying thermometer. One at a time, holding the blossom by the stem, dip the blossom into the batter and remove, letting excess batter drip back into the bowl. There should be only a light coating of batter. Place in the oil and fry, turning once, until golden brown, about 2 minutes. fry the blossoms in batches to avoid crowding them in the skillet. Using a wire skimmer, transfer the blossoms to the cake rack to drain. Serve hot.
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About Larson Tax Relief
Since 2005, Jack and Ron Larson have been building a team of trusted and experienced professionals to provide honest answers and real solutions that work for their clients. The team at Larson Tax Relief understands that behind every client there is a real person that deserves the best service and representation available.
Representing clients in all 50 states, Larson Tax Relief has resolved thousands of tax cases. Larson Tax Relief is an A+ rated member of the BBB. Company President and Enrolled Agent Jack Larson is a member of National Association of Enrolled Agents as well as the National Association of Tax Professionals.
Jack and Ron Larson
Our Team
Lucas Hauschild, E.A.
A graduate of the University of Colorado, Lucas has over 13 years of experience in the tax relief field. His expert knowledge base pertains to all business and personal tax debt issues, what causes them, and what the best resolution strategy may be. He has spent his entire career in the tax relief field, explaining the benefits of hiring expert help, the pros and cons of any resolution strategy, and what our clients can expect when hiring us to navigate through their complicated tax situations. Because of this experience, he is responsible for managing and training all of our consultants to ensure that the quality of the help promised by Larson Tax Relief is equal to the help delivered. In his free time, he enjoys spending time at "the cabin" with his wife and 5 year old daughter.
He can be reached directly at 720-836-4135.
Brett Sukenik
A graduate of the University of Kansas, Brett Sukenik has been working in the tax resolution for over 8 years, and currently manages the tax consulting department of Larson Financial. He has thrived in many different roles in the tax relief field, giving him first-hand knowledge of all processes involved in providing clients with great customer care and results, making Brett a great manager for our firm. In his free time, he enjoys camping and hiking with his wife and two sons.
Leona Hauschild, J.D.
Case Manager
Leona brings her expertise in tax resolution to the Larson team with more than 11 years of experience helping clients resolve their tax issues. She loves the different approach to tax resolution that is taken here at Larson, with a genuine focus on the client and a true sense of family within the organization. Leona received her undergraduate degree from the University of Michigan and a JD from the University of Denver. In her free time, she enjoys spending time with her husband and daughter.
Jim Gardner, E.A.
Senior Consultant
Jim has been with Larson Financial for over eight years, and is a licensed Enrolled Agent (EA). He has helped thousands of our clients find successful resolutions to their tax issues. Jim lived in Reno, studied at the University of Nevada and moved to Colorado in the spring of 2008. In his spare time, Jim enjoys spending time in the mountains with his wife and two dogs.
He can be reached directly at 720-836-4146.
Erin Harryman, E.A.
Case Manager
Erin has been assisting clients solve their tax problems at Larson Tax Relief for over seven years. Prior to joining the team, she spent several years in tax relief, working for another firm. Erin is enrolled to practice before the IRS, and holds dual bachelors' degrees in Psychology and Criminal Justice from Minnesota State University. Erin enjoys spending her free time watching her favorite teams, the Colorado Rockies and Minnesota Vikings with her husband and two children.
Michael Plantinga, J.D.
Case Manager
Michael has been providing professional and efficient tax representation for seven years. Michael is a United States Navy veteran, and was a recipient of the prestigious Navy Achievement Award. He holds a Juris Doctorate from the University of Denver Sturm College of Law, where he served as a Staff Editor on the University's Law Review. Michael enjoys getting involved in sports and spending time with his family.
Richard Brown, E.A.
Practice Manager
Richard has been with Larson for six years and has almost 11 years of experience in the tax relief field. Richard works to develop relationships with professionals, that may encounter taxpayers experiencing an issue with the IRS or State, to provide representation and to ensure that they get the services they need to resolve their tax matters. Richard is a US Army Veteran and holds an Associates Degree in Business & Accounting. Richard is a passionate golfer and enjoys the outdoors.
Steve Cizik, J.D.
Case Manager
Steve Cizik is a Graduate of the University of Colorado, Boulder with a BS in Business Management and received his law degree from The Syracuse College of Law, cum laude. He worked as a litigation associate in complex corporate law for three years prior to moving into tax representation. Steve now has over seven years in the field and prides himself on professional and efficient representation with case specific and outside of the box resolutions. Steve is a former CU Ski Team member who divides his time between managing a growing family and getting back to the Colorado mountains whenever possible to ski, climb, hike, bike and generally enjoy a state that he loves.
Debbie Gallegos, E.A.
After a long profession as a Service Operations Manager with a large grocery chain, Debbie chose to seek out a career change, beginning her new career with Larson Tax Relief. Her past experience with accounting and bookkeeping made for an easy transition to her work at Larson, where Debbie is delighted to get to know her clients and truly help people in tough situations. She is enrolled to practice before the IRS.
Lisa Geyer, J.D.
Case Manager
As a former stock broker and registered investment adviser, Lisa has an acute understanding of the ways tax impacts businesses and individuals. Lisa's empathy for clients suffering from tax liability fuels her passion for effectively advocating for our clients. Lisa holds a bachelor's degree from the University of Colorado and a Juris Doctor from the University of Denver. In law school, Lisa was twice awarded for her focus on ethics. She enjoys hiking, making short films and is an accomplished artist and novelist.
Tiffany Briels, E.A.
Tiffany has been with Larson Tax Relief for more than nine years. The thing she enjoys the most is helping her clients and working with them to resolve their taxes and put their mind at ease. As an Enrolled Agent, Tiffany is admitted to practice before the Internal Revenue Service. In her spare time, Tiffany enjoys writing, producing, and acting in narrative and commercial films as well as spending time with her husband and their three cats.
Ted Krapin, J.D.
Case Manager
ed Krapin fights to keep his clients and their businesses protected while negotiating toward the best possible resolution of their tax matters. Ted earned his B.B.A. in Finance from Texas State University and his J.D. from the University of Miami School of Law. He enjoys snowboarding, biking, and hiking.
Maggie Lugo, E.A.
Prior to joining the team at Larson Tax Relief, Maggie had three years of tax relief experience. Maggie is enrolled to practice with the IRS and holds a Bachelor Degree in Special Education from the University of Long Island, CW Post, in New York. In her free time, she enjoys spending time with her husband and son.
Chris Kelley, J.D.
Case Manager
Chris received his B.B.A. in Marketing (w/ Honors) and B.A. in Music & Entrepreneurship (with honors) from the University of Iowa in 2009 before obtaining his Juris Doctorate from the Michigan State College of Law in 2013. Chris graduated Cum Laude, worked as an editor on the Law Review, and received the prestigious "King's Scholar" award while in law school. Chris is very passionate about building genuine relationships with clients by providing focused attention and reliable results on a consistent basis. In his free time Chris enjoys watching sports and recording music in his home studio.
Emily Rienau, J.D.
Case Manager
Emily Rienau is a graduate of the University of Miami, School of Law and also hold a B.S. in International Business. Prior to entering the tax relief field she helped create various business entities to help people take advantage of tax benefits and ensure that open businesses were in compliance with the law. She loves being able to assist clients through difficult times and seeing a positive difference in their lives after their tax problems are resolved.
Carime Lee, J.D.
Case Manager
Carime graduated from Florida State University with a Bachelor's of Art in International Affairs and Political Science (with a concentration in Economics). She later received her Juris Doctorate from Ave Maria School of Law, where she was the Publications Manager for the law school's Law Review and graduated Cum Laude. Carime is a licensed attorney in several states and is authorized to practice before the Internal Revenue Service. Carime enjoys helping her clients turn the corner to improving their lives and businesses through resolution of their tax matters. She prides herself in treating her clients like family and making sure they know they have a strong advocate on their side. In her free time Carime enjoys spending time outdoors with her husband and Siberian Husky, Bella.
Tim Campbell, E.A.
Senior Consultant
Tim Campbell has been with Larson Financial since 2006. His greatest attribute is his caring approach to finding the right solution to his clients' tax issues. He realizes that owing money to anyone, much less the IRS or State, can be one of the most stressful situations a person can encounter in their lives. Because Tim knows that the solutions we provide will affect our clients for the rest of their lives, he takes great care in explaining our services in a manner that creates a clear understanding of how our process works. When Tim is out of the office, he enjoys spending time with his wife and three children, two of which are twins. He also enjoys volunteering at his oldest daughter's school.
He can be reached directly at 720-836-4134.
John Eggers, E.A.
Senior Consultant
Before choosing to become a part of the Larson Financial team, John spent eight years in the tax relief field, consulting taxpayers on how to alleviate their tax burden. John has his bachelor's degree from University of Colorado and is an IRS Enrolled Agent. John enjoys spending his free time with friends and family, reading, and playing billiards.
He can be reached directly at 720-836-4143.
Bo Richmond
Senior Consultant
Bo Richmond offers 17 years in the tax relief field as a Senior Tax Consultant. His level of experience and expertise are second to none in the field. Bo's role with Larson Financial is to make sense of the most complex or daunting tax problems that our clients face, but in simple terms. Bo is engaged to be married, enjoys fishing, spending time with family, and being outdoors with his 3 dogs.
He can be reached directly at 720-836-4141.
Trevor Gornall
Senior Consultant
At a young age, Trevor had aspirations to study human anatomy, go to medical school, and become a surgeon. After attending Colorado State University for Biomedical Sciences, he decided on a different career path. Trevor decided to serve his country by enlisting in the U.S. Air Force. He ended up applying to work at Larson financial to begin his civilian career in the tax industry. Trevor has passed Part 3 of the IRS' Special Enrollment Exam, and is currently studying to complete his licensing with the U.S. Department of the Treasury. He can be reached directly at 720-354-4450.
Frederick Gillard, E.A.
Senior Consultant
Fred entered the tax relief field in 2010 and obtained his Enrolled Agent licensing in 2012. His attention to detail, honesty, sense of humor and strong desire to help our clients feel at ease during stressful situations has been a great addition to the Larson Financial family. Fred spends his free time playing music and enjoying the many activities the beautiful Rocky Mountains have to offer with his friends and family. Fred works as hard as he can while at the office so he doesn't feel guilty for using his PADI scuba diving certification for a week or so each year. Fred attended Metropolitan State College.
He can be reached directly at 720-354-4456.
Charmagne Ainsley, E.A
Charmagne has been with Larson Tax Relief for more than 4 years. She worked previously as a customer service manager for the USPS. In her free time during the summer, Charmagne enjoys spending time at the lake with her three daughters, and enjoys watching the Broncos play during the winter.
Kristine Tacca, E.A.
Prior to joining the Larson Tax Relief team, Kristine worked for an accounting firm specializing in small business accounting, payroll processing and tax preparation for individuals and businesses. Kristine graduated from the University of North Carolina at Greensboro, with a BS in Accounting, and is an IRS Enrolled Agent and Certified Payroll Professional. Kristine prides herself on building strong and genuine relationships with her clients and enjoys helping her clients resolve their tax liabilities by providing caring, honest representation during a stressful time. In her free time she enjoys hiking, watching football and spending time with her fiancé and dog.

subset: commoncrawl


text:
Gift Premium Subscription To KFH
Join Date:05-09-2010
Last Activity:08-15-2012 1:34 AM
4 Likes on 4 Posts
- Phoenix, AZ
- Male
- In a Relationship
Posted in thread: HomeBrewTalk 2012 Big Giveaway on 02-07-2012 at 03:11 AM
Posted in thread: Liquid Panty Remover Apfelwien on 02-04-2012 at 02:05 AM
I have a kegging setup and wanted to make something like this so I could bottle with a
blichmann gun. you said 12 oz of cranberry raspberry concentrate. Did you mean those small
frozen cans?Yep.Lookin...
Posted in thread: I need a short, fat kettle! on 01-24-2012 at 08:01 PM
I have, at most, 15" of clearance on my stove and I want a 10 gallon aluminum kettle that's
around 13" in hight. Anyone have any suggestions? I found S/S ones online but I would rather
not spend that ...
Posted in thread: Liquid Panty Remover Apfelwien on 01-11-2012 at 05:29 PM
KFHHow long did you leave this in your primary before bottling?I usually leave it for about 2
months or so before bottling. My latest batch I left for about 6, simply because I was lazy and
didn't wan...
Posted in thread: My girlfriend kicks ass on 01-07-2012 at 02:48 AM
Apparently I'm getting my last Christmas present tomorrow.A few months ago, I made an offhand
remark about wanting to take a brewery tour while going on about wanting to someday open a
nanobrewery. My...
Posted in thread: Beer Legislation paper on 01-05-2012 at 01:35 AM
I'm currently taking a writing class this quarter, and decided (on a whim and because I was
thirsty :)) to write a paper on beer legislation and the issues involved in opening a brewery
from the groun...
Posted in thread: Used liquor barrels on 01-04-2012 at 07:44 PM
Any possibility of getting used tequila barrels by chance?
Posted in thread: Do you want to brew one of the 12 beers of Christmas? on 01-03-2012 at 01:05 AM
KFH,Anything to share with the group?Yes, actually.I apologize for the delay in getting my
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lately, which ...
Posted in thread: What was your initial investment into your home brew setup? How has it changed? on 12-12-2011 at 11:41 PM
I started with one of Northern Brewer's starter kits and spent roughly $160. I don't want to
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Posted in thread: Brewer moving to Phoenix, AZ on 12-12-2011 at 10:34 PM
I'd recommend getting a mini fridge or a chest freezer, as swapping out ice bottles tends to
get old rather quickly, especially if you're fermenting more than 1 batch at a time. I've
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text: The Beautiful, If Stabby Art of the Assassin's Creed SeriesLuke Plunkett11/24/11 6:00amFiled to: Fine Artassassins creedTop261EditPromoteShare to KinjaToggle Conversation toolsGo to permalink With Assassin's Creed Revelations out recently (and starring in its own Fine Art), I thought it'd be a good time to take a look back on some of the incredible art from the series we've yet to feature here on Kotaku. The pieces you're about to see are the work of three men: Maxime Desmettre, David Levy and Herve Groussin. They cover the first few games in the series and are, to the last, amazing. Advertisement Advertisement There are none from Revelations - usually most concept art is kept under lock and key until after a game is released - but you'll find plenty from both Altair's travels in the Holy Land as well as Ezio's travels through Italy.To see the larger pics in all their glory (or so you can save them as wallpaper), right-click on the "expand" icon on the main image above and select "open in new tab".Fine Art is a celebration of the work of video game artists. If you're in the business and have some concept, environment or character art you'd like to share, drop us a line!You can contact Luke Plunkett, the author of this post, at firstname.lastname@example.com. You can also find him on Twitter, Facebook, and lurking around our #tips page. Reply26 repliesLeave a reply


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Toronto Pearson loves meeting its neighbours and looks for every opportunity to do so.
Street Festival is our largest community event and we love the opportunity to invite our neighbours for a behind the scenes look at the airport to see our operations in action, meet the people who work at the airport, and have some great fun. We're sad to share we will not be hosting a 2016 Street Festival. Summer 2016 has been Toronto Pearson's busiest travel season yet, with record-setting passenger traffic. This growth brings with it a dynamic and evolving operational environment, one in which we are unable to accommodate Street Festival. We are hopeful to bring the Street Festival back in summer 2017.
There are also many other opportunities to see the airport up close and meet the Toronto Pearson airport community! We hope to see you at some of our other events this year, like our annual Runway Run, airside tours, community events and open houses.
To stay in-the-know about events and initiatives happening at the airport, sign up for our newsletter, Checking In.
There are a number of ways to volunteer at Toronto Pearson. For those able to make a regular weekly commitment, we encourage you to join our Welcome Team. We also have upcoming volunteer opportunities at some of our other events, like the Runway Run and annual emergency exercises. Sign up for our community newsletter to be sure you hear about all upcoming volunteer opportunities and events.


text:
Okay, first things first: I'm pretty sure that the idea of a group of Dubliners singing songs about living in Southern California is more than a bit removed from Writing What You Know – even if that So Cal is the much-traveled myth-land of Neil Young and the Brother era Beach Boys (circa Holland, especially).
But although wispy singer/songwriter Conor Deasey comes across more Van Dyke Parks than Dennis (the beach bro who actually surfed) Wilson, he and his band the Thrills have still concocted a splendorous pop disc with their debut, So Much for the City (Virgin). Over an Americana-drenched pop-rock sound that finds room for plenty o' harmony, Dylan-y harmonica, banjos and the bass-line from "Build Me Up, Buttercup," Deasey sings his songs of lost hopes and regret with an appealing Nils Lofgren whine. If his minimalist lyrics hint at more than they deliver ("Hollywood Kids," for instance, doesn't tell us anything that Steely Dan didn't do better on Countdown to Ecstasy), the tone is so gossamer lovely that I'm not gonna grouse. Or perhaps I'm just impressed by a songwriter capable of quoting both "The Monkees Theme" and Harry Nilsson's "Moonbeam Song."
Authentic Dublin beach party music? Ah, who cares? "If this sounds phony," Deasey teases at one point, "Don't say that I didn't warn." Fair enough. I'm ready to dance "'til the tide creeps in." Powered by Sidelines


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Twitter Tuesday: Top 10 Tweets - March 31 - April 6, 2015
By Bob Rhubart-Oracle on Apr 07, 2015
Surprise! Here's the list of the Top 10 tweets from @OTNArchBeat for the last seven days, March 31-April 6, 2015.[Read More]
Surprise! Here's the list of the Top 10 tweets from @OTNArchBeat for the last seven days, March 31-April 6, 2015.[Read More]
The latest OTN ArchBeat Podcast series features a four-part discussion of Docker and Virtualization.
The genesis for this program was a blog post about Docker on Oracle Fusion Middleware architect Mark Nelson's RedStack blog, a post Mark co-wrote with fellow Fusion Middleware architects Edwin Biemond and Joel Nation.[Read More]
What are you looking at? If you're one of the 5,949 people following the OTN ArchBeat Facebook Page, the chances are good that over the last seven days (November 14-20, 2014) you were looking at one of these Top 10 most popular items.
You may ask yourself, "What were the Top 10 most popular tweets among the 3,314 followers of @OTNArchBeat for the last seven days?" Or you may not. I'm not a mind-reader. But if you do ask yourself that question, you'll find the the answer below.
The 2 Minute Tech Tips keep coming with this one from Nishit Rao (Sr. Director, Product Management, Oracle Fusion Middleware and Engineered Systems).
Among the 5,265 followers of the OTN ArchBeat Facebook Page -- a community that could possibly include cycloptic star creatures from a distant planet -- these are the top 10 most popular posts for the last seven days, July 25-31, 2014.
The Top 10 most popular updates from the OTN ArchBeat Facebook Page from the last seven days.
"Surely if God had meant us to do yoga, he would have put our heads behind our knees."
— Rod Stewart, musician, singer
(Born January 10, 1945)
Source: brainyquote.com
4,320 people now follow the OTN ArchBeat Facebook Page. The list below represents the to 10 most popular community items shared on the page for the week of September 29 - October 5, 2013.
"If you want peace, you don't talk to your friends. You talk to your enemies."
— Desmond Tutu, South African social rights activist
(Born 7 October 1931)
Source: brainyquote.com
The following list reflects the Top 10 most popular items shared on the OTN ArchBeat Facebook Page for the week of July 7-13, 2013.
"We live in a fantasy world, a world of illusion. The great task in life is to find reality."
— Iris Murdoch
(July 15, 1919 – February 8, 1999)
Source: brainyquote.com
2,947 people now follow OTN ArchBeat on Facebook. Here are the Top 10 items shared on that page for June 23-29, 2013.


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Tag Archives: Colorado dude ranch
Colorado Trails Fishing Vacations: Where Trout Go to Heaven
It's a little known fact that when trout die and go to heaven, they end up in the mountain streams in the San Juan Mountains outside of Durango, CO. That's why we call the fishing spots around our Colorado dude ranch … Continue reading
Interesting Info to Bring Along on Horseback Riding Vacations
Guests to our Colorado dude ranch who have not ridden before, or spent much time around horses, can find it much easier to quickly become confidant about their time in the saddle by being more familiar with these magnificent animals. … Continue reading
What Happens On Our Colorado Dude Ranch In the Winter?
It is pretty quiet at Colorado Trails during our off season, but don't get the idea that the full time staff is on hiatus. We're definitely not on vacation. There is plenty of action taking place at the dude ranch. … Continue reading
Make Quality Time with Family a #1 Vacation Priority
About a year ago, BBC documentary film producer Jonnie Hughes brought a handful of tribesmen from a remote jungle village in Papua, New Guinea to London. He had been making a film about the tribe, known as the Insect Tribe, … Continue reading
Fall Dude Ranch Vacations – Horseman's Week
Horseman's Week at Colorado Trails Dude Ranch is an excellent fall vacation opportunity. Perfect for families with older children, couples, and individuals, Horseman's Week immerses you in horseback riding through the picturesque San Juan Mountains. Our 2011 dates are September … Continue reading
Six Tips for a Perfect Family Vacation at Colorado Trails
What's your idea of a perfect family vacation? Relaxing together by the pool? Adventure? Private time for mom and dad? Whatever your ideal family vacation is, we think you'll find it at Colorado Trails Dude Ranch. Here are six tips … Continue reading
Get Your Kids Off the Computer and Into the Great Outdoors
Last year, the Kaiser Family Foundation provided a startling look at how much time kids are spending in front of screens – television screens, video game screens, MP3 screens, and cell phone screens. According to Dr. Drew Altman, President and … Continue reading
Casual Comfort Family Vacations Loaded With Extras
Lodging, Dining, and Extras at Colorado Trails Dude Ranch Does the phrase "dude ranch" conjure up images of rough cabins, no hot water, and living like a cowboy? If it does, you haven't experienced the all inclusive family vacations offered … Continue reading
Dude Ranch Children's Programs
If you've already sent your kids to every tennis, swimming, and arts event in your town, it might be time to expand their horizons. Consider a dude ranch as a fun alternative. Not only is it a great change of … Continue reading
Reunited at Our Guest Ranch…and It Feels So Good
Family is an extremely important part of life, and should be cherished and celebrated regularly. Family reunions are an excellent way to spend some time with the people who mean the most to you. Planning a get-together can be difficult, … Continue reading


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1) Clean the pork ribs.
2) Mix pork ribs with all the marinade ingredients in a large bowl. Leave covered in the fridge for at least 2-3 hours.
3) Prepare the steamer.
4) Remove the pork from the marinade and put it in a heatproof dish.
5) Put the dish in the steamer and steam the ribs at high heat for about 20-25 minutes.
6) Mix the black beans with the oil to make the sauce.
7) Serve the pork ribs while they are still hot, with the black bean sauce on side.
Serving size: Complete recipe
Calories 881 Calories from Fat 522
% Daily Value*
Total Fat 58 g90%
Saturated Fat 14 g69.8%
Trans Fat 0.3 g
Cholesterol 177.6 mg59.2%
Sodium 5405.4 mg225.2%
Total Carbohydrates 28 g9.4%
Dietary Fiber 1.9 g7.5%
Sugars 6.1 g
Protein 50 g99.8%
Vitamin A 4.3%
Vitamin C 21.9%
Calcium 10.9%
Iron 15.7%
*Based on a 2000 Calorie diet


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Our work demonstrates the presence of axo-glial septate junctions (AGSJs) in Drosophila nerves and establishes structural and molecular similarities between Drosophila and vertebrate AGSJs. Drosophila proteins: Neurexin IV (NRX IV), Contactin (CONT) and Neuroglian (NRG) form a tripartite complex that localizes to AGSJs. Their murine orthologs Contactin-associated protein (Caspr), Contactin (Cont) and Neurofascin (NF155) also form a complex at the paranodal AGSJs in myelinated axons. Drosophila nrx IV, cont and nrg, and mouse Caspr, Cont and NF155 mutants all fail to organize AGSJs. In addition, double mutant combinations and triple mutants of nrx IV, cont and nrg in Drosophila show severe peripheral glial migration defects and axonal degeneration in embryonic peripheral nerves, pointing to an important relationship between axon-glial interactions and axonal/glial cytoskeleton. We also discovered that in the embryonic CNS midline NRX IV functions independent of CONT and NRG, and interacts in trans with a midline glia-specific immunoglobulin (Ig) domain protein, Wrapper (WRAP). This interaction coordinates axon-glial interactions, axonal ensheathment and glial migration in the CNS midline. Together these studies lead us to hypothesize that glial migration, ensheathment, and axon degeneration are mechanistically linked. Our findings provide the basis to approach the fundamental question of how axonal ensheathment is coordinated with underlying axonal and glial cytoskeletal elements during neuron-glial interactions. Most importantly, we ask which axon-glial signaling mechanisms are essential for maintaining axonal health and neuronal functions. Identification of these mechanisms using in vivo genetic analysis will provide a basis for our attempts to identify the cellular and molecular mechanisms precipitating pathological demyelination and impeding remyelination.
Molecular Characterization of Axon-Glial Interactions The studies described in this renewal grant application relate to the genetic and molecular mechanisms that govern axonal ensheathment, establishment of neuro-glial scaffolds and organization of specialized electron-dense structures, the axo-glial septate junctions (AGSJs). This unique structure coordinates axonal domains and allows myelinated axons to propagate nerve impulses in a saltatory manner. Better understanding of the fundamental mechanisms that underlie axonal ensheathment and organization of axonal domains will help in designing future therapeutic strategies to myelin-related diseases or demyelination disorders like for example multiple sclerosis (MS) where remyelination is required and the axonal domain structure must be preserved to allow action potential propagation.
|Thaxton, Courtney; Pillai, Anilkumar M; Pribisko, Alaine L et al. (2011) Nodes of Ranvier act as barriers to restrict invasion of flanking paranodal domains in myelinated axons. Neuron 69:244-57
|Buttermore, Elizabeth D; Dupree, Jeffrey L; Cheng, JrGang et al. (2011) The cytoskeletal adaptor protein band 4.1B is required for the maintenance of paranodal axoglial septate junctions in myelinated axons. J Neurosci 31:8013-24
|Banerjee, Swati; Blauth, Kevin; Peters, Kimberly et al. (2010) Drosophila neurexin IV interacts with Roundabout and is required for repulsive midline axon guidance. J Neurosci 30:5653-67
|Blauth, Kevin; Banerjee, Swati; Bhat, Manzoor A (2010) Axonal ensheathment and intercellular barrier formation in Drosophila. Int Rev Cell Mol Biol 283:93-128
|Thaxton, Courtney; Pillai, Anilkumar M; Pribisko, Alaine L et al. (2010) In vivo deletion of immunoglobulin domains 5 and 6 in neurofascin (Nfasc) reveals domain-specific requirements in myelinated axons. J Neurosci 30:4868-76
|Thaxton, Courtney; Bhat, Manzoor A (2009) Myelination and regional domain differentiation of the axon. Results Probl Cell Differ 48:1-28
|Pillai, Anilkumar M; Thaxton, Courtney; Pribisko, Alaine L et al. (2009) Spatiotemporal ablation of myelinating glia-specific neurofascin (Nfasc NF155) in mice reveals gradual loss of paranodal axoglial junctions and concomitant disorganization of axonal domains. J Neurosci Res 87:1773-93
|Wheeler, Scott R; Banerjee, Swati; Blauth, Kevin et al. (2009) Neurexin IV and Wrapper interactions mediate Drosophila midline glial migration and axonal ensheathment. Development 136:1147-57
|Banerjee, Swati; Bhat, Manzoor A (2008) Glial ensheathment of peripheral axons in Drosophila. J Neurosci Res 86:1189-98
|Banerjee, Swati; Bainton, Roland J; Mayer, Nasima et al. (2008) Septate junctions are required for ommatidial integrity and blood-eye barrier function in Drosophila. Dev Biol 317:585-99
Showing the most recent 10 out of 14 publications


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Hot tags Animals Botany Climate Change Earth Sciences
Science subject and location tags
Articles, documents and multimedia from ABC Science
RSS | MapPalaeontology
Brontosaurus and the Bone Wars
Tuesday, 14 July 2015 1 comments
Great Moments in Science In part 1 of this series, Dr Karl explains how the infamous Bone Wars lead to the discovery of 142 new dinosaurs. But were they all real?
Genome reveals how woolly mammoth thrived in the cold
Friday, 3 July 2015
An exhaustive genetic analysis of woolly mammoths and their living cousins, Asian and African elephants, has revealed a slew of genetic adaptations that enabled the Ice Age giants to survive adverse conditions.
Sabre-tooth cat fangs took years to grow
Thursday, 2 July 2015
The dagger-like fangs of the sabre-toothed cat emerged later than those of today's big cats, but when they finally did they grew twice as fast, a new study reveals.
'Hairy Collins monster' thrived a half billion years ago
Tuesday, 30 June 2015
More than half a billion years ago, a peculiar little creature with rows of spikes on its back and delicate, feather-like front limbs to strain bits of food from the water thrived in the primordial seas of what is now China.
Heads or tails? Toothy grin completes prehistoric worm
Thursday, 25 June 2015
Scientists have discovered a weird-looking ancient worm actually has a pair of eyes and toothy mouth in what was thought was its backside.
Triassic reptile was 'grandfather' of all turtles
Thursday, 25 June 2015
A 240-million-year-old lizard-like animal with a bulky body and only the skeletal precursor of a shell is the grandfather of all turtles, say scientists.
First-known teeth belonged to fierce fish
Wednesday, 24 June 2015
Fish that lived long before the dinosaurs featured the world's first known teeth, according to a new study.
Ancient European had close Neanderthal ancestor
Tuesday, 23 June 2015
A jawbone unearthed in Romania of a man who lived about 40,000 years ago, boasts the most Neanderthal ancestry ever seen in a member of our species.
A Jurassic World of science fiction
Friday, 12 June 2015 24
Opinion Depictions of the science in Jurassic World seem to have fossilised in the early 1990s, writes Paul Willis.
Red blood cells found in dinosaur bones
Wednesday, 10 June 2015
Soft structures Scientists say they have discovered what appear to be red blood cells and collagen fibres in dinosaur bones, a find that may boost prospects of prising organic remains from a much wider range of fossils.
'Hellboy' horned dinosaur unearthed
Friday, 5 June 2015
Bizarre beast Palaeontologists have uncovered one of the most unusual horned dinosaurs ever discovered, a beast boasting an exotic set of facial horns and spines around the edge of the bony frill at the back of its skull
Fossil ancestor suggests sharks once had bony skeletons
Friday, 29 May 2015
The discovery of bone in the jaw of an ancient shark indicates modern sharks are far more advanced than previously thought, say researchers.
Smashed skull world's oldest-known murder mystery
Thursday, 28 May 2015
A 430,000-year-old skull found deep in a cave in Spain is evidence of the oldest known murder in human history, say researchers.
Jawbone fossil reveals new human ancestor
Thursday, 28 May 2015
Family tree Jaw and teeth fossils found in Ethiopia represent a previously unknown member of humankind's family tree that lived alongside another species known as 'Lucy' 3.3 to 3.5 million years ago.
Killer cockroach trapped in amber
Thursday, 14 May 2015
Beautifully preserved in amber collected in Myanmar, this extinct cockroach lived 100 million years ago during the age of the dinosaurs.


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Dear supporters,
Since the beginning of our technology collaborative, Skype has played an important role. In 2009, we successfully conducted our first Skype conference between the Les Bons Samaritains School in Haiti and the Palmyra Middle School in Pennsylvania. I was in Haiti during that first Skype conference and witnessed the exuberance in the exchange between the Haitian students and my students back in Pennsylvania. At that moment we realized the cultural awareness and educational potential of this communication medium.
A few weeks later, the students of Les Bons Samamritains Skyped my students in Palmyra to show us the Haitian custom of Carnival, a Mardi Gras like celebration. Our Palmyra students were given a live glimpse into a world that they would not have known otherwise. A connection with a lasting impression was made. You can view a video showing Carnival at LBS through one of the links in this update.
As our program continued to grow and develop, our Skype experience continued as well. During one of our Skype™ sessions, we gathered over 100 of our Palmyra Middle School students in an auditorium to Skype with Les Bons Samaritians. During this session, we exchanged ideas about our program and sang traditional songs to each other. It was a touching experience that brought two cultures closely together. This conference can be viewed through one of the links in this update.
Recently, we had another notable Skype experience. During the fall of our school year, we were fortunate enough to have a Haitian student enroll in our school. Laurie was born and raised in Haiti. She speaks Creole and French fluently and has been learning English since she has been with us. She participated in our most recent Skype with Les Bons Samaritains students and was able to give them perspective on what life is like as a Haitian student in an American school. This conference can be viewed from one of the links in this update.
Thanks to your support, you have made these great experiences possible. Through your continued financial support, we can change lives in the dramatic way that is only available through education and the opportunities it provides.
June provides two exciting opportunities for increased funding for our project!
On Wednesday, June 15th, you have an opportunity to stretch your donation to our project through a GlobalGiving matching offer. Starting at 12:01 am EDT, GlobalGiving will match any donation of $1000 or less to our project by 30% until their matching fund pool of $75,000 runs out. Please make a note of this and donate early this day.
In addition, GlobalGiving's Technology for Education Fund is contributing to classroom technology projects like ours! Throughout the entire month of June, a matching funds campaign is in effect that will match donations to the Tech for Education fund which supports our project!
As always, thank you for your continued support! I have seen first hand the lives that have been changed by your generosity!
Project Reports on GlobalGiving are posted directly to globalgiving.org by Project Leaders as they are completed, generally every 3-4 months. To protect the integrity of these documents, GlobalGiving does not alter them; therefore you may find some language or formatting issues.
If you donate to this project or have donated to this project, you will get an e-mail when this project posts a report. You can also subscribe for reports via e-mail without donating.
We'll only email you new reports and updates about this project.


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It might be a blue crystal in a pork pie hat, but you know exactly who its meant to be. Say his name...Youre goddamn right.
Thank you for visiting Heisensky (Large Print Only) on hundredsofgiftideas.co.uk
We bring the products from many websites to one website for you to search, save and compare.


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Shortly after the release of the Static II video in 2004, some in the Theories of Atlantis crew still had a heavy travel bug that they couldn't shake. And they soon found themselves planning a new trip. Cohorts Paul Shier, Kenny Reed, Kenny Hughes and Josh Stewart set out to find a new destination even more bizarre than Cairo…..so naturally, they picked Transylvania.
Searching For Dracula: The Unseen Transylvania Tapes
Rights Refused: BB Bastidas
KR3W is proud to present the latest installment to their "Rights Refused" film series featuring artist BB Bastidas. They recently caught up with BB in London to document a day in the life of his travels.
GX1000: Habitat Team
BATB8: The Road To Finals Night
It started with 32 of the best flatground skaters in the world. 3 rounds, 12 weeks, and 28 epic battles later, we're down to the Final Four: Sewa Kroetkov, Tom Asta, Cody Cepeda, and Shane O'Neill. It's been a long, arduous journey with the craziest tricks and moments in BATB history, and tonight it's about to go down… But before we get to the final battles, remind yourself of how we got here – one battle at a time.
Jimmy Cao Talks Real Street
Sk8mafia pro, Jimmy Cao has been holding down SD for years and his Real Street edit stands apart from the others because of his mix of both new and legendary SD spots. Recently, XGames.com hit up Jimmy to discuss his home turf, blown out spots and how his Real Street edit nearly killed his filmer.
The 2015 Van Doren Invitational Canada
The Van Doren Invitational comes back to Vancouver, Canada July 10th and 11th, 2015. Watch the world's best bowl skaters charge the iconic bowl in Hastings! Click here to follow the Vans channel.


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This custom drawstring bag with reinforced corners are not only very popular but also inexpensive and comes in 16 colors!
Promotional earbuds set with interchangeable earbud covers.
Proudly display your name and theirs with this customized lanyard.
Bee the name on everyone's lips with this USA made full color promotional lip balm featuring over 50 flavor choices.
Keep yourself and your company logo cool with this Gildan 100% preshrunk heavyweight 5.3 oz cotton custom t-shirt.
Low priced #2 custom pencils are equally important for school and work use.
A curvaceous hourglass shaped custom pen that will make your logo pop with the color accents.
This Promotional Whistle with Coiled Wristband ensures that they won't miss their keys or your logo!
This junior-sized spiral bound promotional notebook features a fold-over cover with your imprinted logo.
These Large Academic Year Custom Planner keep your logo visible month after month from July through August.
If you got a promotional fever than the only cure is more Logo Cow Bell!
The Child I.D. Promotional Finger Print Kit is an ideal promotional giveaway for schools, hospitals, fairs or any other event with children and families.
These soft puzzle cubes not only are fun to put together but also doubles as a desktop custom calendar and pen holder.
Score a promotional touchdown with this small inflated promotional football.
Deluxe promotional first aid kit with everything from bandages to first aid guide.
The Custom BIC Grip Roller promotional pen comes with a rubber grip to add comfort and value.
These Sporty Ear Buds in a custom imprinted pouch is a perfect giveway for gyms, colleges and travelers of all ages!
This flashing promotional reflector light attaches to backpacks and jackets for high visibility for your recipients and your logo.
A successful promotional campaign is right around the corner with education promotional items from ePromos. We have plenty of items for multiple areas of education such as school, art, dance, online training and automotive. Whether you're looking for specialized products for each field or looking for promotional pens, or promotional stress balls that can be used for any type of field, ePromos has what you are looking for.


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I will not start by talking about my multiple caramel sauce failures over the years. I tried it all; wet caramel, dry … [Read More...]
Recipe of the Day
10 Foods Worth Ruining Your Diet Over
It's funny how some people truly believe that eating healthy means never, ever even tasting (or smelling. Or seeing) a … [Read More...]
How To
How To: Cut a Watermelon
Summer in Egypt= Cold Watermelon. Egyptians (Or at least my family. And Ismail's family. And my uncle's family. Also … [Read More...]
You Know You're in Your 30's When…
1- You think it's ok to sleep before 9 pm 2- Makeup is no longer a luxury, but a necessity 3- You find it more … [Read More...]


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Microsoft Exec Weighs In on Safe Harbor's Demise
After a recent court ruling invalidated the EU-U.S. Safe Harbor agreement, Microsoft's top lawyer calls for a new privacy-enhancing legal framework.On Oct. 6, the European Union's (EU) top court ruled that the Safe Harbor provision was invalid. The legal framework efficacy—it required U.S. companies to protect data belonging to Europeans—was cast into doubt after Edward Snowden, a former U.S. National Security Agency (NSA) contractor, leaked documents detailing the U.S. government's intelligence-gathering capabilities. Now, multinational companies and global cloud providers are in a holding pattern. Brad Smith, Microsoft's president and chief legal officer, noted today in a lengthy blog post that the court "struck down an international legal regime that over 4,000 companies have been relying upon not just to move data across the Atlantic, but to do business and serve consumers on two continents with over 800 million people." While the ruling is seemingly a setback for large cloud providers and online companies, many were prepared for the worst. Smith said, "Companies like our own that have put in place additional safeguards such as the EU Model Clauses will rely on and add to them, even while everyone discusses additional measures." Beyond the immediate legal and technical ramifications, "the collapse of the Safe Harbor reflects the remarkable evolution of privacy issues," Smith said. He calls for a new agreement that prioritizes data privacy.
"Individuals should not lose their fundamental rights simply because their personal information crosses a border," he stated. "While never stated quite this directly, this principle underlies every aspect of the European Court's decision, and it makes sense."
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Chilled Cucumber Soup
|1 Large
|Plain yogurt
|16 Ounce (2 Cartons. 8 Ounce Each)
|White wine vinegar
|2 Teaspoon
|Olive oil
|1 Teaspoon
|To Taste
|Cayenne pepper
|To Taste
|Chopped fresh mint
|1 1⁄4 Tablespoon
Peel the cucumber, slice in half lengthways, remove seeds with a teaspoon and chop cucumber coarsely.
Blend prepared cucumber and yogurt in an electric blender until smooth.
Add vinegar and oil and stir well.
Season to taste with salt and a pinch of cayenne pepper.
Place in a clean bowl or soup tureen, cover and chill in the refrigerator.
Recipe Summary
Rate It
Nutrition Rank
Nutrition Facts
Serving size: Complete recipe
Calories 384 Calories from Fat 179
% Daily Value*
Total Fat 20 g31.4%
Saturated Fat 10.4 g51.9%
Trans Fat 0 g
Cholesterol 59 mg19.7%
Sodium 609.2 mg25.4%
Total Carbohydrates 35 g11.8%
Dietary Fiber 3.3 g13.1%
Sugars 26.2 g
Protein 19 g37%
Vitamin A 39.5% Vitamin C 29.1%
Calcium 64.5% Iron 12.1%
*Based on a 2000 Calorie diet


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p.40, Exercise 2-5. $Q_n/Z(Q_n)$
=‹$a,b | a^{2^{(n-1)}}, (a^{2^{(n-2)}})b^{-2}, abab^{-1} \textrm{ and } a^{2^{(n-2)}}$›
=‹$a,b | a^{2^{(n-2)}}, b^2, abab$›
$=D_{2^{(n-2)}}$ (not $D_{2^{(n-1)}}$)
or, order on left side is $(2^n)/2=2^{(n-1)}$ while that on right side is $2^n$ so they don't fit. (Yunghyun Ahn)
From Sam Spiro
p17: "we can keep in extracting" should probably be "we can can keep on extracting" or "we can keep extracting"
p30: $k[S_1,\ldots,S_r]$ should be $k[S_1,\ldots,S_m]$.
p33: I could be wrong on this one, but for $A$ to be an invertible matrix, wouldn't you require that $\{f_1,\ldots,f_m\}$ be a basis of $V$ and not just any old set?
p35: I think the tombstone for 2.26 should follow after the comment about Dedekind's theorem.
p37: I think the dual basis in (b) of the remark should be indexed $\beta_0',\ldots,\beta_m'$, or equivalently $Tr(\beta^i\cdot \beta_j')$ should be replaced with $Tr(\beta^{i+1}\beta_j')$.
p40: Example 2.38, have $disc(\mathcal{O}/\mathbb{Z})$ but should be $disc(\mathcal{O}_K/\mathbb{Z})$.
p55: "We extend $v$ to a map..." domain of the map should be $K$ not $K^\times$.
p56: "...has no elements of finite order);" has no corresponding "(", one was possibly meant to be placed before "because $v$ is a homomorphism..."
p60: "we can find an element $\beta$ lies in..." should be "that lies in..."
From Enis Kaya
Page 118, in the tenth line from the top, '=' should be '$\equiv$'. Also, in example 7.54, I'm implicitly assuming that $K$ is nonarchimedean.
Page 137, 'Let | | be the normalized absolute value on L corresponding to | |.' should be 'Let || ||...'
Page 157, in the solution of problem 7.5, '... quadratic extensions of $Q_2$ are $Q[\sqrt{a}]$' should be '... $Q_2[\sqrt{a}]$'.
In the definition of Newton polygon there is no $a_0$, but $P_0=(0,ord(a_0))$.
Proposition 7.64: '... finitely many totally ramified extensions of $Q_p$' should be '... of $K$'. The proof should read: '... only finitely many totally ramified extensions ... '
On page 119, in the third line from from the bottom, you used '='.
In remark 8.12, you said '... for any lifting $h_1$ of $g_1$ to $Z[X]$.'
On page 143, there are two mistakes: in the fifth line from the bottom, the expression $(-1/p)^{(p-1)/2}$ should be $(-1/q)^{(p-1)/2}$. Also in the second line from the bottom, you mean the value of the function is $-1$ if $p\equiv -1 mod 4$.
On page 145, the factorization of $f$ should be '$f(X)=f_1(X)...f_s(X)$' (you should correct both)
On page 151, in the proof of theorem 8.42, you used the square in a wrong place.
On page 147, in corollary 8.32, I think you meant '... primes of $K$ that split in $L$'.
p10 The equality "$\Lambda(\tau)=\Lambda(\tau')$" should be interpreted as saying that the two lattices are equal up to multiplication by a nonzero complex number --- see here.
p.14, proof of 1.2, third paragraph
As Keenan Kidwell and Tony Feng have pointed out, I muddle the proof. I should say: $G$ is a union of the interiors of the sets $gV$, $g$ in $G$; fix a countable base; the sets from the countable base contained in the interior of some $gV$ form a countable cover of $G$; now we only need to take enough $g$'s to get each of the sets in the countable cover at least once.
Keenan Kidwell points out, the sets $gV$ are not open, hence not unions of open subsets. Fortunately this is easily fixed. As he writes:
In the proof of Proposition 1.2 in your exposition of modular forms and modular functions (beginning near the bottom of page 14), is it really possible to assume that the set $V$ is both open and compact? Initially I assumed that, because you referred to $V$ as a neighbourhood of e, you meant that it was a set which contained e in its interior, but later you say that each set $gV$ is a union of open sets in the countable base, which implies that $gV$ is in fact open. For a general LCH group, we have a base of opens around each point consisting of sets with compact closure, but not necessarily open compact sets, right? But I think this is fixed fairly easily, since g is in the interior of $gV$, we have an open cover $G=\bigcup (gV)^{int}$, and by second-countability, this has a countable subcover, and so in particular we can write $G=\bigcup g_n V$ for some sequence $g_n$, and then the proof goes through unchanged. So I think the only problem is when you say that each $gV$ is a union of open sets.
In the third paragraph of the proof of Proposition 1.2, I was thinking that not every open set in the countable base need be contained in a single $gV$, but of course we can throw away such open sets from the base.p.15, lemma 1.3 From Tony Feng:
From Francesc Gispert Sánchez
Page 17 In paragraph 1.7, $U$ should be an open set of $X$ (not of the complex plane). Moreover, the codomain of the function $f$ should be the complex plane (the $C$ which appears on the notes is not the symbol $\mathbb{C}$).
Page 33 In the proof of theorem 2.12, where the case $c \geq 2$ is discarded, it should say "because $y^2 \geq 3/4$" (instead of 3/2), because the minimum imaginary part is $\sqrt{3}/2$ (attained at $\rho$).
There is a sentence which I do not understand and I suspect that there might be a mistake. In the second paragraph of remark 2.25 (page 39), you say that, since the surface $X(2)$ has genus $0$ and three (non- equivalent) cusps, it is isomorphic to the complex plane minus two points. But, since it is a compact surface and has genus 0, isn't it isomorphic to the whole Riemann sphere? Maybe you meant $Y(2)$ (the surface without the cusps), which then would be isomorphic to the Riemann sphere removing three points. --- Yes, I meant $Y(2)$.
The letter 'H' used to describe the upper half-plane is not $\mathbb{H}$ in the following places: in page 36, in the second sentence after the section title ("Write $p$ for the quotient map $\mathbb{H} \to \Gamma(1)\backslash H$"; this last 'H') and in the next-to-last sentence ("Alternatively, we can consider ..."); in page 37, in the first paragraph (after "Clearly"); in page 38, in the first sentence ("... let $\phi$ be the map ...").
In page 33, after the proof of lemma 2.13, I think that the position of the two QED symbols is wrong: one of them is at the end of the next-to- last sentence of the lemma. One should be after the last sentence in the lemma (closing the proof of the lemma) and the other one immediately afterwards (closing the proof of theorem 2.12).
In the statement of corollary 3.6 (page 43), a ring $R$, which is not defined before (unless I am missing something; maybe it is just a standard notation which I am not aware of), is mentioned. From the proof, I deduce that it should be $\textrm{End}(\mathbb{C}/\Lambda)$. Is my guess correct? --- Yes.
In page 45, I think it could be helpful to other readers to rephrase the first paragraph of the section "The addition formula". In particular, the part "... and therefore it is a rational function of $\wp$ and $\wp'$.", since this is proved later in the text (in page 46). Something along the lines "... and we will prove later that ..." would do the job.
In remark 4.8 (page 51), I think that the sentence "Thus $\omega$ is invariant if and only if $f(z)$ is a meromorphic differential form of weight 2" should be changed to "... is a meromorphic modular form of weight 2" (because f is a function, but not a differential, and we want it to satisfy the modularity condition).
In page 56, when each term in the expression of $z\cot(z)$ is expanded as a geometric series (i.e., when the index $k$ is introduced to obtain a double sum), the sign is wrong. That is, \[ 1 - \sum_{n=1}^{\infty}\frac{2t_n}{1-t_n} = 1 - 2\sum_{n=1}^{\infty}\sum_{k=1}^{\infty} t_n^k \] where $t_n$ would be $\frac{z^2}{n^2\pi^2}$. (Notice the minus sign before the 2.)
In definition 4.23 (page 59), the symbol $\mathbb{H}$ is used and I am not sure if this is what was intended. In the previous discussion (the paragraphs immediately preceding the definition), there is a Riemann surface $H$ (not necessarily the upper half-plane), and I guess that the definition of automorphy factor is valid in this situation in general.
At the end of page 59, when the "chain rule" is stated, the "subindex" (the point where the tangent map is computed) $\alpha(n)$ should be $\alpha(m)$.
In page 65, the Poincaré series of character 0 is defined as $\phi_0$, but in the rest of the section it is referred as $\varphi_0$ (a different symbol).
In page 72, there is a sentence which seems confusing to me: "because $\Lambda/mn\Lambda$ is the direct sum of a group of order $m$ and a group of order $n$". I think this is wrong, for it is a group of order $(mn)^2$ and not $mn$.
In the statement of corollary 5.17, part (a) (page 76), $\gamma(1)=c(m)$ should be $\gamma(1)=c(n)$ ($n$ is used for the index of the Hecke operator).
At the end of page 81, in the right-hand side of the definition of $\gamma(m)$, there is a pair of parenthesis which are probably too small (or the fraction inside is too big) and, just after this, there is a comma misplaced (there is a space before the comma but not after it; it should be the other way round).
In page 84, where the action of a matrix on a lattice is defined in terms of a basis, there is a closing parenthesis which was not opened before: "... and of the choice of a representative for the double coset $\Gamma\alpha\Gamma$.)"
From Keith Conrad
1) On page 58 at the end of the proof of Theorem 4.21, change "z = 1" to "z = i."
2) On page 64, on the line after the proof of Lemma 4.32, the "2k" needs k in italics.
3) On page 84 line 7 put "ad" in italics.
From Tony Feng:
I think I've identified a small typo in your modular forms notes that was tripping me up for a while.
On page 65, in the right hand side for the inner product $\langle f, \varphi_n\rangle$ I think the $\exp(-2 \pi i n z/h)$ in the integrand should be $\exp(2\pi i n (-x+iy)/h)$, or something equivalent: it's the complex conjugate of $\exp(2\pi i n z/h)$, but $z$ is complex!
p2. The claim in the footnote that every abelian surface is a Jacobian variety is not quite true. See the preprints of E. Kani, "The moduli spaces of Jacobians isomorphic to a product of two elliptic curves" and "The existence of Jacobians isomorphic to a product of two elliptic curves". (Kuang-yen Shih)
p37, line 6. The regular map $\alpha$ should go from $T$ to the dual of $A$ (Bart Litjens).
From Bhupendra Nath Tiwari: For AV, CFT, and CM
From Tobias Barthel See pdf file (2 pages)
From Shaul Zemel In the proof of Theorem 10.15, p49, concerning the map from $\textrm{Hom}(A,B) \otimes Z_l$ to the module $\textrm{Hom}(T_l A,T_l B)$ (over $Z_l$), you start by proving that if $e_1,...,e_n$ are linearly independent over Z in Hom(A,B) then their images are linearly independent over Z_l in Hom(T_l A,T_l B). But this immediately proves that n cannot exceed the rank of the latter over Z_l, i.e., 4dimAdimB (as can be even more clearly seen in Hom(V_l A,V_l B) over Q_l, after tensoring the latter with Q_l). Hence you immediately obtain the finiteness of the rank of Hom(A,B), and the desired bound, without the need to involve decomposition into simple Abelian varieties, different topologies, and polynomials. This is in fact similar (as you have indicated there for something else) to the fact that showing that if a (clearly torsion-free) subgroup of a real vector space of dimension n is discrete then it's free of rank not exceeding n. [This is fixed in AVs I think.]
Timo Keller points out that, in the proof of Theorem 10.15, p49, M should be defined to be a Z-submodule of End^0(A), not End(T_l(A)) (the degree map P is defined on End^0(A), not on End(T_l(A)). Also, when I write "Now choose the e_i to be a Q-basis for End^0(A)." I seem to be assuming that End^0(A) is finite dimensional over Q, which is what I'm trying to prove. The proof should be replaced by this.
From Everett Howe In Prop. 13.2(b), I found a small typo, probably carried over from copying the result from [1986b] and not changing all of the notation: the "f" in the exponent should be an alpha.
Tim Dokchitser points out that I prove Zarhin's trick (13.12) only
over an algebraically closed field , and then immediately apply it in (13.13) over a finite field.
This is doubly confusing because (13.10) is certainly false over nonalgebraically closed field (over such a field
an abelian variety need not be isogenous to a principally polarized abelian variety).
However, I believe everything is O.K. Specifically, the proof of Zarhin's trick requires only (13.8), and, because this holds over an algebraically closed field, it holds over every perfect field (see my 1986 Storrs article Abelian Varieties 16.11 and 16.14).
From Sunil Chetty. Near the start of I 14 (Rosati involution): in $(\alpha\beta)^\dagger = \beta\alpha$ there should be a dagger on each of $\beta$ and $\alpha$.
p.154, IV. Theorem 7.3. The property in (a) of the statement only holds for the points P outside a closed subset of codimension 1. As Martin Orr writes:
[The theorem] asserts that the Siegel moduli variety M_{g,d} over the complex numbers satisfies: for every point P in M_{g,d}, there is an open neighbourhood U of P and a family A of polarized abelian varieties over U such that the fibre A_Q represents j^{-1}(Q) for all Q in M_{g,d} (I assume this should say "all Q in U" at the end).
I don't see how such a neighbourhood can exist around the elliptic point 0 in the j-line, because of the standard monodromy argument that there is no family of elliptic curves on all of M_{1,1}. Specifically, if we had such a U then the period mapping (which is just the inclusion U -> M_{1,1}) would lift to a map from U' to the upper half plane H, for some open neighbourhood U' of 0 (wlog lifting 0 to i). Then the image of this lifting contains an open neighbourhood V of i in H, and the map H -> M_{1,1} is not injective on V.
From Roy Smith (on proofs of Torelli's theorem III 13)
You ask on your website for advice on conceptual proofs of Torelli. ... here goes.
There are many, and the one you give there is the least conceptual one, due I believe to Martens.
Of course you also wanted short, ....well maybe these are not all so short.
The one due to Weil is based on the fact that certain self intersections of a jacobian theta divisor are reducible, and is sketched in mumford's lectures on curves given at michigan. Indeed about 4 proofs are sketched there.
The most geometric one, due to Andreotti - Mayer and Green is to intersect at the origin of the jacobian, those quadric hypersurfaces occurring as tangent cones to the theta divisor at double points, thus recovering the canonical model of the curve as their base locus, with some few exceptions.
To show this works, one can appeal to the deformation theoretic results of Kempf. i.e. since the italians proved that a canonical curve is cut out by quadrics most of the time, one needs to know that the ideal of all quadrics containing the canonical curve is generated by the ones coming as tangent cones to theta. the ones which do arise that way cut out the directions in moduli of abelian varieties where theta remains singular in codimension three.
But these equisingular deformations of theta embed into the deformations of the resolution of theta by the symmetric product of the curve, which kempf showed are equal to the deformations of the curve itself. hence every equisingular deformation of theta(C) comes from a deformation of C, and these are cut out by the equations in moduli of abelian varieties defined by quadratic hypersurfaces containing C. hence the tangent cones to theta determine C.
This version of Green's result is in a paper of smith and varley, in compositio 1990.
Perhaps the shortest geometric proof is due to andreotti, who computed the branch locus of the canonical map on the theta divisor, and showed quite directly it equals the dual variety of the canonical curve. this is explained in andreotti's paper from about 1958, and quite nicely too, with some small errata, in arbarello, cornalba, griffiths, and harris' book on geometry of curves.
There are other short proofs that torelli holds for general curves, simply from the fact that the quadrics containing the canonical curve occur as the kernel of the dual of the derivative of the torelli map from moduli of curves to moduli of abelian varieties. this is described in the article on prym torelli by smith and varley in contemporary mat. vol. 312, in honor of c.h. clemens, 2002, AMS. there is also a special argument there for genus 4, essentially using zariski's main theorem on the map from moduli of curves to moduli of jacobians.
There are also inductive arguments, based on the fact that the boundary of moduli of curves of genus g contains singular curves of genus g-1, and allowing one to use lower genus torelli results to deduce degree torelli for later genera.
Then of course there is matsusaka's proof, derived from torelli's original proof that given an isomorphism of polarized jacobians, the theta divisor defines the graph of an isomorphism between their curves.
For shortest most conceptual, I recommend the proof in Arbarello, Cornalba, Griffiths Harris, i.e. Andreotti's, for conceptualness and completeness in a reasonably short argument..
p.56. "Grothendieck has banished [\'espace \'etal\'e] from mathematics." Grothendieck uses them in his 1957 Tohoku paper (p. 154-155) but (somewhat) banishes them in 3.1.6, p.25, of Chapter 0 in EGA I.
(Nikita Kozin)
p.78: "Proof: Let M be..." - change M (mathfrak?) to another font
p.80: "Remark 11.7: ... associated with the preseaf ... H^r" - must be "H^s"?
p.81: Diagram - must be "Sh(Y_et)" in left low corner?
p. 20, towards the bottom of the page, when talking about transitivity of norms, it is stated that $Nm_{L'/L} = Nm_{L/K}\circ Nm_{L'/L}$. The left hand side should be $Nm_{L'/K}$. (Andrew Kirk)
p.131. Corollary IV.3.6 In the proof, the first $End_k$ should be $End_L$ and the first $End_L$ should be $End_k$. (Philip Dittmann)
p.154. Theorem 3.6 (Existence theorem). The theorem should say that there exists an $L/K$ unramified at the primes not dividing $m$ etc., otherwise the statement doesn't really make sense. (Li Jianing)
From Yogesh More
p.4 Theorem 0.3 ..abelian extension of $K$ arises as the class group of some subgroup of $C$ group should be field
p.6 Example 0.6 A couple of lines later you use the term totally ramified . It would be nice to recall the definition --- on p. 2 you defined ramify, but not totally ramified.
p.7 line 1 $\sigma \alpha \cong \alpha^q$ it would be good to indicate that the congruence is mod $P$
p.146 proof of Prop 1.6 nonzero $c \in \mathfrak{c} \cap K^S$ should $K_S$ be $K_{m, 1}$? I m not a 100% sure, but I think so to create $C_{m,1}$ you mod out by $K_{m,1}$
Top of p.151 On applying log to the equality in (a) I guess you are also using the approximation $-log(1-x) \sim x$? If so, add that to help the reader.
p.155 Example 3.11 We compute the conductor of $K=Q[\sqrt{d}]$ earlier on the page you define the conductor as something assigned to an extension $L/K$. So what is $L$ in this example? [Should be the conductor of $Q[\sqrt{d}]/Q$.]
From Kiran S. Kedlaya
On page 115 of version 4.02, I found footnote 4 a bit confusing: it seems to be arguing that given a family of sets with empty intersection, the images under a map also have empty intersection. Of course this works in this case because of the topology in the picture, but I found it clearer to reinterpret this argument without taking quotients: since $I$ is open and the intersection of the compact sets $N \cap U_K$ is contained in $I$, the sets $(N \cap U_K) - I$ themselves form a family of compact sets with empty intersection. Hence some finite subfamily has empty intersection, and so on.
In II, Proposition 1.34, p.69, there is no explicit mention of the restrictive hypothesis on the vanishing of the $H^i(H,M)$, which might be confusing for the reader who has never seen a spectral sequence before. It of course gets used to deduce that \[ 0\to M^H \to M_*^H \to M_{\dagger}^H \to H^1(H,M) = 0 \] is exact, in order to finish the dimension shift.
From franz lemmermeyer: I think that there's a typo in the application of the reciprocity law to Wieferich's criterion in your class field theory notes on p. 245. You write that since $\alpha$ is the p-th power of an ideal, we must have $(\alpha/\beta) = 1$ for all $\beta$ coprime to $\alpha$. This would imply that all units are $p$-th powers modulo principal ideals, which seems weird. It is true, of course, that $(\beta/\alpha) = 1$, which I'm sure is what you meant. The fact that $(\alpha/\beta) = 1$ follows from $\beta = q^{p-1}$ in your proof.
p.60, 5.3. This is completely muddled --- the homomorphism $i$ goes in the other direction and is surjective etc. I was probably thinking of a group $G$ over $k$ (not $k^{\prime}$) etc.... (Giulia Battiston)
p.261. For an improved exposition of the proof of Theorem 5.1, see RG I, 1.29.
p.259. There is a problem is with my definition of "almost-simple". Certainly "almost-simple" should imply "semisimple", so we should define an almost-simple algebraic group to be a noncommutative smooth connected algebraic group that is semisimple (so its radical over the algebraic closure is trivial) and has no nontrivial proper smooth connected normal algebraic subgroup. The quotient of such a group by its centre should be called simple. (The centre of a reductive group is the kernel of the adjoint representation on the Lie algebra. It suffices to check this over an algebraically closed field, see RG 2.12).
If we don't require that G be semisimple, then we get to the land of pseudo-reductive groups (Conrad-Gabber-Prasad), which is very complicated. Tits defines a pseudo-simple algebraic group to be a noncommutative smooth connected affine algebraic group with no nontrivial proper smooth connected normal subgroup. (Sebastian Petersen)
From Bhupendra Nath Tiwari: list of misprints for AGS, LAG, RG odt; doc
From David Calderbank
Page 52, Weyl's Theorem 5.20. Part (a) states "If ad is semisimple, then g is semisimple". However, semisimplicity of the adjoint representation is characteristic of reductive Lie algebras (Proposition 6.2), not just semisimple ones. The proof uses more than semisimplicity of the adjoint representation.
Page 56, Proposition 5.29. In the non-algebraically closed case, I don't think it is necessarily true that a Lie algebra with all elements semisimple is commutative. Indeed, so(3) over R would be a counterexample.
Page 57, Proposition 6.4. I don't see how the proof establishes the implication "g has a faithful semisimple representation => g is reductive".
From Timo Keller
p. 21: ... with [A,B] = AB - BA,and <- space missing
p. 25, l.-3: ) missing at the end of the equation
I, Theorem 16.21. The centre of a reductive group is of multiplicative type, but need not be reduced (e.g., SL_p). The correct statement is that the radical of G (which is a torus) is the reduced connected group attached to the centre. (There may be other errors of this type, where I incorrectly translated from the characteristic zero case to the general case.) There will be a new version of the notes probably in March 2012.


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Cat. No. 3439
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Chemical Name: 1-Hexadecyl-2-methyl-3-(phenylmethy
Biological ActivityEukaryotic elongation factor 2 (eEF-2) kinase (CaMK III) inhibitor (IC50 = 60 nM) that displays 125-fold, > 1300-fold and > 1500-fold selectivity over PKC, PKA and CaMK II respectively. Decreases the viability of a variety of cancer cell lines (IC50 values are 0.7 - 4.8 μM) and blocks G1/S cell cycle progression. Shown to induce eEF-2 phosphorylation in cancer cells. Also an effective antibacterial agent; inhibits histidine protein kinase in vitro (IC50 = 6.6 μM) and in vivo.
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Chen (2011) 1-Benzyl-3-cetyl-2-methylimidazolium iodide (NH125) induces phosphorylation of eukaryotic elongation factor-2 (eEF2): a cautionary note on the anticancer mechanism of an eEF2 kinase inhibitor. J.Biol.Chem. 286 43951. PMID: 22020937.
Arora et al (2004) P-glycoprotein mediates resistance to histidine kinase inhibitors. Mol.Pharmacol. 66 460. PMID: 15322237.
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Free Shipping $50+ within Continental US
- Pre-Order Item: Estimated Shipment Date: February/March 2017
- It's a bird...a plane...no, it's Superman by Mezco!
- 1:12 scaled
- Includes 32+ points of articulation with numerous accessories and realistic fabric cape
- Great for casual fun and collectors alike!
- Qualifies for FREE SHIPPING


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These old mercury glass Christmas bead sprays are strung on sturdy wire with metallic paper tips. There are two sprays, each with six individual stems or picks ranging from 5-1/2 to 7 inches long from the bottom bead to the paper tip (measured without the wire picks). The coloring is shaded purples which may originally have been magenta before age, fading, and silvering deterioration transformed the spikes to the antiqued, variegated purple shading you see now. There are no chipped beads and both stems ar intact without damage.
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Specializing in antique and vintage Christmas all year round, plus antique to Mid-Century copper.