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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, Miklos Abert, Ben Hayes, Co-spectral radius for countable equivalence relations, Ergodic Theory and Dynamical Systems (2024), 1-43
  • Mikołaj Frączyk, Gergely Harcos, Peter Maga, Djordje Milicevic, The density hypothesis for horizontal families of lattices, American Journal of Mathematics 146 (2024), 107-160
  • Mikołaj Frączyk, Miklos Abert, Nicolas Bergeron, Damien Gaboriau, On homology torsion growth, Journal of the European Mathematical Society (2024),
  • Mikołaj Frączyk, Lam Pham, Bottom of the length spectrum of arithmetic orbifolds, Transactions of the American Mathematical Society 376 (2023), 4745-4764
  • Mikołaj Frączyk, Tsachik Gelander, Infinite volume and infinite injectivity radius, Annals of Mathematics 197(1) (2023), 389-421

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 group, university professor
unit
  • Centrum Zaawansowanych Badań Matematycznych
  • Faculty of Mathematics and Computer Science
research group
  • DIOSCURI Centre in Random Walks in Geometry and Topology
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