Barnabás Gárgyán

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. Gárgyán, On the discrete Fisher information (2026), arxiv:2610.19076Link opens in a new window [math.PR].

[3] G. Ambrus and B. Gárgyán, Minimal central slices of the regular simple (2026), arXiv:2609.12714Link opens in a new window [math.MG] (submitted to Adv. Math.).

[2] G. Ambrus and B. Gárgyán, Estimates on the decay of the Laplace–Pólya integral, Bull. Lond. Math. Soc. 57 (2025), no. 11, 3360–3379, doi:10.1112/blms.70157Link opens in a new window

[1] G. Ambrus and B. Gárgyán, Non-diagonal critical central sections of the cube, Adv. Math. 441 (2024), 109524, doi:10.1016/j.aim.2024.109524Link opens in a new window

Talks and presentations

Extremality of diagonal sections of the cube. Poster presentation at the Bremen Town Mathematicians in ConvexityLink opens in a new window, University of Bremen, September, 2026.
Extremality of diagonal sections of the cube. Seminar talk at the King's College London Analysis Seminar, October 2025.
Extremality of diagonal sections of the cubeLink opens in a new window. Poster presentation at the 2025 Szeged Workshop on ConvexityLink opens in a new window, Bolyai Institute, University of Szeged, May 2025.
Non-diagonal critical central sections of the cubeLink opens in a new window. Contributed talk at the 7th Conference of PhD Students in MathematicsLink opens in a new window, Bolyai Institute, University of Szeged, July 2024.
Non-diagonal critical central sections of the cubeLink opens in a new window. Contributed talk at the Discrete Geometry Days^3Link opens in a new window, Institute of Mathematics, Budapest University of Technology and Economics, July 2024.

Teaching

Year	Term	Modules
2026–2027	Term 1	Teaching assistant for MA270 Analysis 3Link opens in a new window.
2025–2026	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 Dr Gergely AmbrusLink opens in a new window and Dr Ferenc FodorLink opens in a new window. My Master's thesis 'Critical central sections of the cube' was supervised by Dr Gergely AmbrusLink opens in a new window, which largely covered the topic of our joint publication (see above).