I am a Postdoctoral Fellow at the University of Waterloo, hosted by Kateryna Tatarko. Before, I was a Visiting Assistant Professor at UC Irvine, hosted by Paata Ivanisvili.
I got my PhD in Mathematics at Central European University in Budapest, under the supervision of Károly Böröczky. I obtained my Bachelor's degree from the University of Crete and my Master's degree from the University of Athens.
Research: Convex Geometric Analysis, Isoperimetric Inequalities, Geometric Functional Analysis
Publications and Preprints:
Log-Brunn-Minkowski inequality under symmetry (with Károly Böröczky). Trans. AMS, 375 (2022), 5987-6013. arxiv
The case of equality in geometric instances of Barthe’s reverse Brascamp-Lieb inequality (with Károly Böröczky and Dongmeng Xi), Geometric aspects of functional analysis, Lecture Notes in Math., 2327, Springer, Cham, (2023), 129-165. arxiv
On a j-Santalo Conjecture (with Christos Saroglou), Geom. Dedicata, volume 217, Article number: 91 (2023). arxiv
(P,Q) complex hypercontractivity (with Paata Ivanisvili), Accepted Proc. Amer. Math. Soc (2025). arxiv
Multiversion of the Hausdorff-Young inequality (with Paata Ivanisvili), 2025. arxiv
Equality in Liakopoulos's generalized dual Loomis-Whitney inequality via Barthe's Reverse Brascamp-Lieb inequality (with Károly Böröczky and Ferenc Fodor), 2025 arxiv
Commutativity in a Poincaré-Type Inequality, 2026 arxiv
Teaching:
Multivariable Calculus I (Math 2D), Spring 2025 at UC Irvine
Multivariable Calculus II (Math 2E), Fall 2023 at UC Irvine
Elementary Differential Equations (Math 3D), Winter and Spring 2024 at UC Irvine
Elementary Analysis I (Math 140A), Fall 2024 and Spring 2025 at UC Irvine
Algebra for Honours Mathematics (Math 135), Fall 2025 at UWaterloo
Introduction to Mathematical Logic (PMath 330) Winter 2026 at UWaterloo
Address:
University of Waterloo,
Waterloo, Ontario, Canada, N2L 3G1
Office: MC 5433
email: pkalantz(at)uwaterloo.ca