I am Liza, 5-th year graduate student at the University of Michigan, Department of Mathematics. My advisor is Roman Vershynin.

I received my specialist degree (B.S.+M.S. equivalent) in Mathematics at Moscow State University under supervision of Professor Vladimir Bogachev in 2012.

Here you can find my CV - version November, 2017

You also can read about my

I like using high-dimensional probability, geometric analysis and machine learning to study some interesting properties of random matrices, as well as other instances of large high-dimensional data.

My **PhD research** is concentrated around non-asymptotic random matrix
theory.

I like studying spectral structure of large, but finite random matrices. One of the challenging cases is when matrix entries distributions are heavy-tailed (comparing to the standard gaussian case). We have investigated typical norm of inverse of such matrices:

- Coverings of random ellipsoids, and invertibility of matrices with i.i.d. heavy-tailed entries (with K.Tikhomirov)
- Israel J. Math., to appear. arXiv:1508.06690

and regularization properties of their operator norms:

- Norms of random matrices: local and global problems (with R.Vershynin)
- Advances in Mathematics, Vol. 324 (2018), pp 40–83. arXiv:1608.06953

**Applied research:** in Summer 2017 I worked as an intern at Scalable Solvers Group,
Lawrence Berkeley National Lab.
Investigated machine learning applications of STRUMPACK
linear solver. A conference paper is submitted.

More information:

- Slides from an informal final presentation within the research team.
- Final report (technical part) for NSF (who sponsored my internship).

Please see the Talks page for (almost) complete list of my public presentations, usually with abstracts and sometimes with relevant slides.

Quick links:- Invited research talks
- Expository talks at UofMichigan
- Expository Machine Learning talks at Berkeley Lab

I do not teach this semester.

Earlier at UofMichigan I worked as primary instructor for Math 115 (Calculus 1); led Matlab labs and problem solving recitations for Math 216 (Differential Equations) and was a TA for Math 623 (Computational Finance).

Back in Moscow, I worked as a calculus instructor for high school students at 57-th math school (2008-2012) and as an algebra teacher at Kolmogorov math and physics high school (2012-2013).

In addition to doing research and explaining math, I enjoy coding and playing with data. Back in Moscow, I completed two year CS program in Yandex Data Analysis school, and it was such a great time. Nowadays I infrequently participate in online contests alone or with friends.

My other interests include all that I find beautiful or challenging. For example, music, art, cats, cities, mountains, puzzles... Finally, I love talking to people, sharing experiences and drinking coffee - dark roast preferrable.

“Poirot,” I said. “I have been thinking.”

“An admirable exercise my friend. Continue
it.”

(Agatha Christie, Peril at End House)