Research Interests
Optimal transport · Convexity · Discrete analysis
Publications & Preprints
Negative Moments of Steinhaus Sums
(with Tomasz Tkocz and Isabella Wu).
Submitted.
arXiv:2512.09077 [math.PR, math.FA] (2025).
[PDF]
Entropic versions of Bergström’s and Bonnesen’s inequalities
(with Matthieu Fradelizi and Lampros Gavalakis).
arXiv preprint
arXiv:2501.10309 [cs.IT, math.FA], (2025).
A conference version appeared as
A Dimensional Improvement of the Entropy Power Inequality under Marginal Assumptions,
in the Proceedings of the 2025 IEEE International Symposium on Information Theory (ISIT), Ann Arbor, MI, USA, 2025, pp. 1–6.
[arXiv PDF]
[ISIT PDF]
On the monotonicity of discrete entropy for log-concave random vectors on ℤd
(with Matthieu Fradelizi and Lampros Gavalakis).
arXiv:2401.15462 [math.PR, cs.IT], under revision (2024).
A conference version appeared as
Dimensional discrete entropy power inequalities for log-concave random vectors,
in the Proceedings of the 2024 IEEE International Symposium on Information Theory (ISIT), Athens, Greece, pp. 3582–3587, IEEE, 2024.
[arXiv PDF]
[ISIT PDF]
Criteria for entropic curvature on graph spaces
(with Paul-Marie Samson).
arXiv:2303.15874 [math.PR, math.FA, math.MG],
under revision (2024).
[PDF]
Teaching
Carnegie Mellon University (2024–present)
- Instructor: Probability (21-325)
- Instructor: Linear Algebra (21-341)
Université Gustave Eiffel (2020–2024)
Teaching Assistant (Chargé de TD)
Semester 1 (2020–2021)
- Sequences and Series (L2)
- Statistics (L1)
Semester 2 (2020–2021)
- Statistics (L1)
Semester 1 (2021–2022)
- Methodology (L1)
- Sequences and Series (L2)
- Statistics (L1)
Curriculum Vitae
Academic Background and Appointments
A complete version of my CV can be found here: Download CV (PDF).
Academic Appointments
- Sep 2024 – present: Postdoctoral Associate, Carnegie Mellon University.
- Sep 2020 – Sep 2024: Doctoral Researcher, Université Gustave Eiffel (Paris-Est).
Scholarships and Awards
- 2020: PSL Excellence Scholarship, Université Paris Dauphine – PSL.
- 2018: Highest Distinction, Master in Mathematical Engineering, Universidad de Chile.
Education
- Ph.D. in Mathematics, Université Gustave Eiffel (Paris-Est), 2020–2024.
Advisors: Paul-Marie Samson and Matthieu Fradelizi. - Master 2 in Mathematics and Applications, Université Paris Dauphine – PSL, 2019–2020.
- B.Sc. in Mathematical Engineering, Universidad de Chile, 2015–2018.
Languages
- Spanish: Native
- French: Full professional proficiency
- English: Full professional proficiency
- Italian: Basic knowledge (currently improving)
Contact
Email: mrapapor@andrew.cmu.edu
Office: Wean Hall 8124
Affiliation: Department of Mathematical Sciences, Carnegie Mellon University
