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, in collaboration with Liran Rotem.
In the Fall 2023 I taught a graduate topics course in Concentration of Measure phenomenon and Convexity, see in particular the class notes which will continue to be actively updated. In the Spring 2024 I teach a graduate course in High-Dimensional Probability. While the two courses are independent of one another, they also complement one another.
A letter to international colleagues from the Tel Aviv University. I urge everyone to please read this letter and sign up for the newsletter that is included here. Please check out also A letter by the President of the Academy of Sciences in Israel.
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, 38th Symposium on Com- putational Geometry (SoCG 2022).
G. V. Livshyts, A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures, Trans. Amer. Math. Soc. 376 (2023), 6663-6680.
G. V. Livshyts, On a conjectural symmetric version of Ehrhard's inequality, to appear in Trans. Amer. Math. Soc.
A. V. Kolesnikov, G. V. Livshyts, On the Local version of the Log-Brunn-Minkowski conjecture and some new related geometric inequalities,
International Mathematics Research Notices, 142, 08 June 2021. See also