Wizytówka - Wydział Matematyki i Informatyki

Most significant publications

  • Mikołaj Frączyk, Tsachik Gelander, Infinite volume and infinite injectivity radius, Annals of Mathematics 197(1) (2023), 389-421
  • Mikołaj Frączyk, Growth of mod-2 homology in higher-rank locally symmetric spaces, Duke Mathematical Journal 171 (2) (2022), 247-271
  • Mikołaj Frączyk, Strong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifolds, Inventiones Mathematicae 224 (2021), 917-985

Recent publications

  • Mikołaj Frączyk, Sebastian Hurtado, Jean Raimbault, Topological complexity of arithmetic locally symmetric spaces, Inventiones Mathematicae 244 (2026), 143-164
  • Mikołaj Frączyk, Hee Oh, Zariski dense non-tempered subgroups in higher rank of nearly optimal growth, Journal für die Reine und Angewandte Mathematik 835 (2026), 279-299
  • Mikołaj Frączyk, Alex Gorodnik, Amos Nevo, Automorphic density estimates and optimal Diophantine exponents, Annales Scientifiques de l'Ecole Normale Superieure 59 (2026), 1101-1152
  • Miklos Abert, Mikołaj Frączyk, Ben Hayes, Growth dichotomy for unimodular random rooted trees, Annals of Probability 53(5) (2025), 1627-1644
  • Mikołaj Frączyk, Minju Lee, Discrete subgroups with finite Bowen-Margulis-Sullivan measure in higher rank, Geometry and Topology 29:2 (2025), 1017–1036

Interests

Locally symmetric spaces, minimal surfaces, unimodular random graphs or manifolds, homogeneous dynamics, ergodic theory, automorphic forms

avatar for Mikołaj Frączyk

Mikołaj Frączyk

academic degree/title Doctor of Philosophy (PhD) position
research and faculty staff member group, university professor
unit
  • Institute of Mathematics
  • Faculty of Mathematics and Computer Science
research group
  • DIOSCURI Centre in Random Walks in Geometry and Topology
ORCID contact
Prof. S. Łojasiewicza 6 street, room 0147
mikolaj.fraczyk@uj.edu.pl
www