Barnabás Gárgyán

I am a second year PhD student under the supervision of Professor Keith BallLink opens in a new window. I tend to focus on geometry and analysis, though I do enjoy other areas of mathematics as well. I have been recently working on topics in convex geometry. With Gergely AmbrusLink opens in a new window, we examined the central sections of the unit cube. Currently, with my supervisor, we investigate sections of other convex bodies, for instance the regular simplex.

I can be contacted at .

Research experience

Publications

[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. 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.

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).