Galyna V. Livshyts

Welcome to my webpage! I am an Associate professor at the Mathematics Department at Georgia Institute of Technology. I work in Asymptotic Analysis and
Convex geometry, which means that I like a lot the following areas of math: Geometric Analysis, Random matrix theory, Probability, Harmonic Analysis, Discrete and Combinatorial geometry. This research is supported by NSF CAREER DMS-1753260 and NSF-BSF DMS-2247834.
This semster (Fall 2023) I am teaching a graduate topics course in Concentration of Measure phenomenon and Convexity.
An initiative to support Ukrainian mathematicians
E-mail:
glivshyts6@math.gatech.edu
Address: Room 108C, Skiles bldg, located at 686 Cherry street NW, Atlanta, GA, 30332.
O. Herscovici, G. V. Livshyts, L. Rotem, A. Volberg, Stability and the equality case in the B-theorem, submitted.
O. Herscovici, G. V. Livshyts, Kohler-Jobin meets Ehrhard: the sharp lower bound for the Gaussian principal frequency while the Gaussian torsional rigidity is fixed, via rearrangements, submitted.
A.E. Litvak, G. V. Livshyts, New bounds on the minimal dispersion, J. of Complexity, 72 (2022), 101648.
G. Bonnet, D. Dadush, U. Grupel, S. Huberts, G. V. Livshyts, Combinatorial diameter of random polytopes, to appear in Disc. Comp. Geom.
G. V. Livshyts, A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures, to appear in Trans. AMS.
G. V. Livshyts, On a conjectural symmetric version of Ehrhard's inequality, submitted.
A. V. Kolesnikov, G. V. Livshyts, On the Local version of the Log-Brunn-Minkowski conjecture and some new related geometric inequalities,
to appear in IMRN. See also