Galyna V. Livshyts
![](Galyna Livshyts.JPG)
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.
Please check out and consider registering for a Workshop in High-Dimensional Phenomena and Convexity, which I will organize jointly with Rotem Assouline, Dan Mikulincer, Liran Rotem, Shay Sadovsky in Israel, on 9-13 June, 2025. While the details are currently preliminary, more information will be posted in due course.
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 taught a graduate course in High-Dimensional Probability, see also the class notes. While the two courses are independent of one another, they also complement one another, and the notes will be eventually unified.
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 as well as another open letter from TAU.
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, to appear in Proceedings of the AMS.
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 Computational 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