Barnab谩s G谩rgy谩n
I am a third-year PhD student under the supervision of Professor Keith M. BallLink opens in a new window. My research focuses mainly on convex geometry. I have studied critical and extremal sections of convex bodies, particularly the cube and the regular simplex, with connections to analysis and combinatorics. More recently, I have started working on information theory, investigating discrete analogues of classical information-theoretic quantities and inequalities.
I can be contacted at .
Research experience
Publications and preprints
[4] K. M. Ball and B. G谩rgy谩n, On the discrete Fisher information (2026), arxiv: [math.PR].
[3] G. Ambrus and B. G谩rgy谩n, Minimal central slices of the regular simple (2026), arXiv: [math.MG] (submitted to Adv. Math.).
[2] G. Ambrus and B. G谩rgy谩n, Estimates on the decay of the Laplace鈥揚贸lya integral, Bull. Lond. Math. Soc. 57 (2025), no. 11, 3360鈥�3379, doi:
[1] G. Ambrus and B. G谩rgy谩n, Non-diagonal critical central sections of the cube, Adv. Math. 441 (2024), 109524, doi:
Talks and presentations
- Extremality of diagonal sections of the cube. Poster presentation at the , University of Bremen, September, 2026.
- Extremality of diagonal sections of the cube. Seminar talk at the King's College London Analysis Seminar, October 2025.
- . Poster presentation at the , Bolyai Institute, University of Szeged, May 2025.
- . Contributed talk at the , Bolyai Institute, University of Szeged, July 2024.
- . Contributed talk at the , Institute of Mathematics, Budapest University of Technology and Economics, July 2024.
Teaching
| Year | Term | Modules |
|---|---|---|
| 2026鈥�2027 | Term 1 | Teaching assistant for MA270 Analysis 3Link opens in a new window. |
| 2025鈥�2026 | All year | Supervisor to two groups of first year MORSE students. |
Education
I obtained my Bachelor's and Master's degrees in Mathematics at the University of Szeged in Hungary. My Bachelor's thesis was titled 'Vector systems related to decompositions of the identity' and was supervised by and . My Master's thesis 'Critical central sections of the cube' was supervised by , which largely covered the topic of our joint publication (see above).