Carnegie Mellon University

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

Email

Website

Tomasz Tkocz

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 Cn. Elect. Comm. in Probab. 16, 38–49.