Mikolaj Fraczyk

Mikolaj Fraczyk

University of Chicago

H-index: 5

North America-United States

About Mikolaj Fraczyk

Mikolaj Fraczyk, With an exceptional h-index of 5 and a recent h-index of 5 (since 2020), a distinguished researcher at University of Chicago, specializes in the field of locally symmetric spaces, homogeneous dynamics, number theory.

His recent articles reflect a diverse array of research interests and contributions to the field:

Automorphic density estimates and optimal Diophantine exponents

Co-spectral radius of intersections

Spectral non-concentration near the top for unimodular random graphs

On homology torsion growth

The density hypothesis for horizontal families of lattices

Growth dichotomy for unimodular random rooted trees

Poisson-Voronoi tessellations and fixed price in higher rank

Bottom of the length spectrum of arithmetic orbifolds

Mikolaj Fraczyk Information

University

Position

___

Citations(all)

88

Citations(since 2020)

77

Cited By

25

hIndex(all)

5

hIndex(since 2020)

5

i10Index(all)

1

i10Index(since 2020)

1

Email

University Profile Page

Google Scholar

Mikolaj Fraczyk Skills & Research Interests

locally symmetric spaces

homogeneous dynamics

number theory

Top articles of Mikolaj Fraczyk

Automorphic density estimates and optimal Diophantine exponents

arXiv preprint arXiv:2402.15875

2024/2/24

Mikolaj Fraczyk
Mikolaj Fraczyk

H-Index: 2

Alexander Gorodnik
Alexander Gorodnik

H-Index: 13

Co-spectral radius of intersections

Ergodic Theory and Dynamical Systems

2024/2

Mikolaj Fraczyk
Mikolaj Fraczyk

H-Index: 2

Wouter Van Limbeek
Wouter Van Limbeek

H-Index: 3

Spectral non-concentration near the top for unimodular random graphs

arXiv preprint arXiv:2401.07165

2024/1/13

On homology torsion growth

Journal of the European Mathematical Society

2024/1/4

The density hypothesis for horizontal families of lattices

American Journal of Mathematics

2024

Growth dichotomy for unimodular random rooted trees

arXiv preprint arXiv:2312.04611

2023/12/7

Poisson-Voronoi tessellations and fixed price in higher rank

arXiv preprint arXiv:2307.01194

2023/7/3

Mikolaj Fraczyk
Mikolaj Fraczyk

H-Index: 2

Amanda Wilkens
Amanda Wilkens

H-Index: 1

Bottom of the length spectrum of arithmetic orbifolds

Transactions of the American Mathematical Society

2023

Discrete subgroups with finite Bowen-Margulis-Sullivan measure in higher rank

arXiv preprint arXiv:2305.00610

2023/5/1

Mikolaj Fraczyk
Mikolaj Fraczyk

H-Index: 2

Infinite volume and atoms at the bottom of the spectrum

arXiv preprint arXiv:2304.14565

2023/4/27

Mikolaj Fraczyk
Mikolaj Fraczyk

H-Index: 2

Hee Oh
Hee Oh

H-Index: 17

Infinite volume and infinite injectivity radius

Annals of Mathematics

2023/1/1

Mikolaj Fraczyk
Mikolaj Fraczyk

H-Index: 2

Expander spanning subgraphs with large girth

Israel Journal of Mathematics

2022/12

Mikolaj Fraczyk
Mikolaj Fraczyk

H-Index: 2

Co-spectral radius, equivalence relations and the growth of unimodular random rooted trees

arXiv preprint arXiv:2205.06692

2022/5/13

Mikolaj Fraczyk
Mikolaj Fraczyk

H-Index: 2

Ben Hayes
Ben Hayes

H-Index: 6

Homotopy type and homology versus volume for arithmetic locally symmetric spaces

arXiv preprint arXiv:2202.13619

2022/2/28

Growth of mod-2 homology in higher-rank locally symmetric spaces

Duke Mathematical Journal

2022/2/1

Mikolaj Fraczyk
Mikolaj Fraczyk

H-Index: 2

Counting bounded elements of a number field

International Mathematics Research Notices

2022/1

Strong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifolds

Inventiones mathematicae

2021/6

A note on the structure of expanders

arXiv preprint arXiv:2010.08944

2020/10/18

Mikolaj Fraczyk
Mikolaj Fraczyk

H-Index: 2

Kesten’s theorem for uniformly recurrent subgroups

Ergodic Theory and Dynamical Systems

2020/10

Mikolaj Fraczyk
Mikolaj Fraczyk

H-Index: 2

Betti numbers of Shimura curves and arithmetic three-orbifolds

Algebra & Number Theory

2020/1/6

See List of Professors in Mikolaj Fraczyk University(University of Chicago)

Co-Authors

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