s z e g e d y b _at_ gmail _dot_ com

MTA Alfréd Rényi Institute of Mathematics
Reáltanoda utca 13-15.
Budapest, Hungary, H-1053

Research interest

My main research areas are combinatorics and group theory. At the moment, I am working in various topics related to limits of discrete structures. This field is connected to combinatorics, ergodic theory and probability theory.

Recent work

Limits of combinatorial structures: an analytic approach that considers large structures as approximations of infinite analytic objects and creates new connections between analysis, combinatorics, probability theory, group theory and ergodic theory.
Higher order Fourier analysis: a theory of higher order structures in compact abelian groups, which proves general inverse theorems and regularity lemmas for Gowers uniformity norms.

P. Candela, B. Szegedy. A continuous model for systems of complexity 2 on simple abelian groups, [arXiv:1509.04485]

B. Szegedy, Limits of functions on groups, [arXiv:1502.07861]

P. Candela, B. Szegedy, L. Vena, On linear configurations in subsets of compact abelian groups, and invariant measurable hypergraphs. [arXiv:1408.6753]