dr prof. UJ Mikołaj Frączyk

Jednostki:

  • Wydział Matematyki i Informatyki UJ
  • Centrum Zaawansowanych Badań Matematycznych

Publikacje:

13.
Mikołaj Frączyk, Gergely Harcos, Peter Maga, Djordje Milicevic
The density hypothesis for horizontal families of lattices, American Journal of Mathematics vol. 146 (2024), 107-160
12.
Mikołaj Frączyk, Miklos Abert, Nicolas Bergeron, Damien Gaboriau
On homology torsion growth, Journal of the European Mathematical Society (2024),
11.
Mikołaj Frączyk, Lam Pham
Bottom of the length spectrum of arithmetic orbifolds, Transactions of the American Mathematical Society vol. 376 (2023), 4745-4764
10.
Mikołaj Frączyk, Tsachik Gelander
Infinite volume and infinite injectivity radius, Annals of Mathematics vol. 197(1) (2023), 389-421
9.
Mikołaj Frączyk, Wouter van Limbeek
Co-spectral radius of intersections, Ergodic Theory and Dynamical Systems (2023), 1-15
8.
Mikołaj Frączyk, Itai Benjamini, Gábor Kun
Expander spanning subgraphs with large girth, Israel Journal of Mathematics vol. 251 (2022), 156-172
7.
Mikołaj Frączyk, Gergely Harcos, Peter Maga
Counting bounded elements of a number field, International Mathematics Research Notices vol. 1 (2022), 373–390
6.
Mikołaj Frączyk
Growth of mod-2 homology in higher-rank locally symmetric spaces, Duke Mathematical Journal vol. 171 (2) (2022), 247-271
5.
Mikołaj Frączyk
Strong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifolds, Inventiones Mathematicae vol. 224 (2021), 917-985
4.
Mikołaj Frączyk
Kesten’s theorem for uniformly recurrent subgroups, Ergodic Theory and Dynamical Systems vol. 40 (2020), 2778-2787
3.
Mikołaj Frączyk, Jean Raimbault
Betti numbers of Shimura curves and arithmetic three-orbifolds, Algebra & Number Theory vol. 13 (2019), 2359-2382
2.
Jakub Byszewski, Mikołaj Frączyk, Anna Szumowicz
Simultaneous p-orderings and minimising volumes in number fields, Journal of Number Theory vol. 173 (2017), 478-511
1.
Mikołaj Frączyk, Taras Banakh
The covering number of the difference sets in partitions of G-spaces and groups, European Journal of Mathematics vol. 1 (2015), 762-772

Granty (realizowane po maju 2009 roku)

TytułRolaRozpoczęcieZakończenie
Random walks in geometry and TopologyKierownik2022-07-132028-08-31