Mathematical Sciences: Stability in Geometric Inequalities  for Convex Bodies
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{'SignBlockName': 'Bernard McDonald', 'PO_EMAI': None, 'PO_PHON': None}
This research is about questions of stability in geometric                 inequalities for convex bodies.  Progress has recently been made                by others in this area and three problems which arise in this                   context will be studied.  The in- and circumradius of convex sets               appear in the inequalities which establish stability or in their                proofs, and additional work on inequalities of this type may lead               to the resolution of a conjecture which originated in algebraic                 geometry.   Bonnesen-style inequalities are involved in some                    cases and the investigator has studied these extensively.
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{'Code': '126500', 'Text': 'GEOMETRIC ANALYSIS'}
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