Tomasz Tkocz

Tomasz Tkocz is an Associate Professor in the Department of Mathematical Sciences at Carnegie Mellon University (CMU), affiliated with the Mellon College of Science. He holds a Ph.D. from the University of Warwick and has held postdoctoral positions at Princeton University and the Mathematical Sciences Research Institute (MSRI). His research focuses on analysis, probability, and convex geometry, with emphasis on high-dimensional phenomena, geometric inequalities, and information theory. Tkocz has taught courses ranging from undergraduate calculus to graduate-level topics in complex analysis, functional analysis, and probability. Notable contributions include work on Gaussian inequalities, convex body sections, and entropy-related problems.

Education:

• Ph.D. in Mathematical Sciences, University of Warwick
• Postdoctoral Fellowships: Princeton University, MSRI

Research Interests:

• Analysis of high-dimensional geometric structures
• Probabilistic methods in convex geometry
• Entropy and concentration inequalities
• Random matrices and log-concave distributions

Recent Publications Trends: Tkocz’s recent work explores geometric stability phenomena (e.g., simplex and polydisc slicing), entropy interpretations of anti-concentration, and sharp inequalities for random variables. His 2025 papers extend tail bounds for uniform sums and reverse Hölder inequalities, reflecting ongoing contributions to probabilistic and geometric analysis.

Teaching & Outreach: Tkocz has instructed over a decade of courses at CMU, including Complex Analysis, Functional Analysis, and Real Analysis. His materials emphasize rigorous problem-solving and applications of abstract mathematical concepts.