Alexander Koldobsky
Curators Distinguished Professor
205 Mathematical Sciences Building


1982 Ph.D., St. Petersburg State University, Russia

Frequently Taught Courses

MATH 1500 Analytic Geometry and Calculus

MATH 1700 Calculus II

MATH 4700/7700 Advanced Calculus of One Real Variable

MATH 4900/7900 Advanced Multivariable Calculus

Research Interests

Convex geometry, harmonic and functional analysis, probability

MathSciNet Links

authored by Alexander Koldobsky

reviewed by Alexander Koldobsky

Lectures in Atlanta, 2019

Select Publications

H.Koenig, A.Koldobsky, On the maximal perimeter of sections of the cube, Advances in Mathematics 346 (2019), 773--804

B.Klartag, A.Koldobsky, An example related to the slicing inequality for general measures, J. Funct. Anal. 274 (2018), 2089-2112

A.Giannopoulos, A.Koldobsky, Volume difference inequalities, Trans. Amer. Math. Soc. 370 (2018), 4351--4372

A.Koldobsky, A.Merkurjev, V.Yaskin, On polynomially integrable convex bodies, Advances in Mathematics 320 (2017), 876--886

A.Koldobsky, Slicing inequalities for measures of convex bodies, Advances in Mathematics 283 (2015), 473-488.

A.Koldobsky, Fourier analysis in convex geometry, Mathematical Surveys and Monographs, American Mathematical Society, Providence, RI, 170 p.

A.Koldobsky, A \sqrt{n} estimate for measures of sections of convex bodies, Advances in Mathematics 254 (2014), 33-40.

A.Koldobsky, V.Yaskin, The interface between convex geometry and harmonic analysis, CBMS Regional Conference Series, American Mathematical Society, Providence, RI, 2008, 107 p.

A.Koldobsky, A functional analytic approach to intersection bodies, GAFA (Geometric and Functional Analysis) 10 (2000), 1507-1526.

R.J.Gardner, A.Koldobsky, Th.Schlumprecht, An analytic solution to the Busemann-Petty problem on sections of convex bodies, Annals of Mathematics 149 (1999), 691-703.

A.Koldobsky, The Schoenberg problem on positive definite functions, Algebra & Analysis 3 (1991), 78-85; translation in St Petersburg Math. J.  3 (1992), 563-570

Research Area