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), 2024. 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
Teaching at UC Irvine:
Multivariable Calculus II (Math 2E), Fall 2023
Elementary Differential Equations (Math 3D), Winter and Spring 2024
Elementary Analysis I (Math 140A), Fall 2024
Elementary Analysis I (Math 140A) & Multivariable Calculus I (Math 2D), Spring 2025
Address:
University of Waterloo,
Waterloo, Ontario, Canada, N2L 3G1
Office: MC 5333
email: pkalantz(at)uwaterloo.ca