# Tomasz Tkocz

## Assistant Professor

**Address:**

7206 Wean Hall

Department of Mathematical Sciences

Carnegie Mellon University

5000 Forbes Avenue

Pittsburgh, PA 15213

**P:** 412-268-7583

# Education

Ph.D., University of Warwick

Postdoctoral Appointments:

- Princeton University
- Berlekamp Postdoctoral Fellow, Mathematical Sciences Research Institute

# Research

My research interests include analysis, probability and convex geometry, with an emphasis on high-dimensional phenomena as well as inequalities in information theory.

# Select Publications

Eskenazis, A., Nayar, P. and Tkocz, T. (2018). Gaussian mixtures: entropy and geometric inequalities. *Ann. Probab*.

Nayar, P. and Tkocz, T. (2018). A multidimensional analogue of the Rademacher-Gaussian tail comparison. *Proc. Amer. Math. Soc*. 146 (1), 413–419.

Ball, K., Nayar, P. and Tkocz, T. (2016). A reverse entropy power inequality for log-concave random vectors. *Studia Math*. 235 (1), 17–30.

Kuś, M., Smaczyński, Tkocz, T., Zeitouni, O. and Zyczkowski, K. (2012). Tensor Products of Random Unitary Matrices. *Random Matrices: Theory and Applications*, 1(4).

Tkocz, T. (2011). Gaussian measures of dilations of convex rotationally symmetric sets in C^{n}. *Elect. Comm. in Probab*. 16, 38–49.