Georgia Institute of Technology

Email: hhuang421 at gatech dot edu

I am a visiting assistant professor in School of Mathematics at Georgia Institute of Technology. My mentors are Konstantin Tikhomirov and Galyna Livshyts. In 2019, I received my Math Ph.D. from University of Michigan under the supervision of my advisor Mark Rudelson.

Publications & Preprints

- Singularity of Bernoulli matrices in the sparse regime pn=O(log(n)) [arXiv]
- (with J. Hao, G.Livshyts, and K.Tikhomirov)
*Distribution of the minimal distance of random linear codes,*submitted [arXiv] - (with K. Tikhomirov)
*A remark on the smallest singular value of powers of Gaussian matrices,*Electronic Communications in Probability [arXiv] - (with O. Giladi, C. Schütt, and E. Werner)
*Constrained convex bodies with extremal affine surface**areas,*Journal of Functional Analysis [arXiv] - (with M. Rudelson)
*Size of nodal domains of the eigenvectors of a G(n,p) graph,*Random Structures & Algorithms [arXiv] - (with B. Slomka, T. Tkocz, B.-H. Vritsiou) Improved bounds for Hadwiger’s covering problem via thin-shell estimates, submitted [arXiv]
- (with B. Slomka and E. Werner)
*Ulam Floating Body*, Jounral of the London Math Society, to appear [arXiv] - (with B. Slomka)
*Approximations of convex bodies by measure-generated sets,*Geometriae Dedicata, to appear [arXiv] *John’s position is not good for approximation*. Israel Journal of Mathematics, to appear [arXiv]*John Ellipsoid and the Center of Mass*. Discrete and Computational Geometry, to appear [Jounral] [arXiv]- (with F. Wei)
*Upper Bound for the Dvoretzky Dimension in the Milman-Schechtman Theorem.*Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2014–2016, 181-186 [Journal] [arXiv]