Education
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
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