• 124 Citations
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Personal profile

Research Interests

Model theory, Group theory and generalizations, Topological groups, Lie groups, Measure and integration, Dynamical systems and ergodic theory, Differential geometry.

Education/Academic qualification

PhD, Hebrew University of Jerusalem

… → 2008

MSc, Hebrew University of Jerusalem

… → 2003

Mathematics, BA, Technion

… → 1997

Fingerprint Dive into the research topics where Nir Avni is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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Arithmetic Groups Mathematics
P-adic Mathematics
Congruence Subgroups Mathematics
Riemann zeta function Mathematics
Algebraic Groups Mathematics
Semisimple Groups Mathematics
Number field Mathematics
Analytic group Mathematics

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Grants 2013 2023

Simons fellowship 2019-2020

Avni, N.

Simons Foundation


Project: Research project

Arithmetic Groups
Finite Group
Model Theory

Word distributions in groups

Avni, N.

National Science Foundation


Project: Research project

Finite Group
Arithmetic Groups
Haar Measure
Diophantine equation
Positive Characteristic
Finite Rings
Isomorphism Classes
Tangent Space

Sloan Research Fellowship

Avni, N.

Alfred P. Sloan Foundation


Project: Research project

Group Theory
Topological Field Theories
P-adic Groups
Fourier coefficients
Representation Theory

Research Output 2005 2019

  • 124 Citations
  • 18 Article
  • 1 Conference contribution

Bounds on multiplicities of spherical spaces over finite fields

Aizenbud, A. & Avni, N., Sep 1 2019, In : Journal of Pure and Applied Algebra. 223, 9, p. 3859-3868 10 p.

Research output: Contribution to journalArticle

Group Scheme
Reductive Group
Galois field
Explicit Bounds

First order rigidity of non-uniform higher rank arithmetic groups

Avni, N., Lubotzky, A. & Meiri, C., Jan 1 2019, In : Inventiones Mathematicae.

Research output: Contribution to journalArticle

Arithmetic Groups
Finitely Generated Group
2 Citations (Scopus)

Counting points of schemes over finite rings and counting representations of arithmetic lattices

Aizenbud, A. & Avni, N., Oct 1 2018, In : Duke Mathematical Journal. 167, 14, p. 2721-2743 23 p.

Research output: Contribution to journalArticle

Finite Rings
5 Citations (Scopus)

Arithmetic Groups, Base Change, and Representation Growth

Avni, N., Klopsch, B., Onn, U. & Voll, C., Feb 1 2016, In : Geometric and Functional Analysis. 26, 1, p. 67-135 69 p.

Research output: Contribution to journalArticle

Arithmetic Groups
Base Change
Congruence Subgroups
Affine Group
Semisimple Groups
10 Citations (Scopus)

Representation growth and rational singularities of the moduli space of local systems

Aizenbud, A. & Avni, N., Apr 1 2016, In : Inventiones Mathematicae. 204, 1, p. 245-316 72 p.

Research output: Contribution to journalArticle

Rational Singularities
Local System
Moduli Space
Asymptotic Representation
Semisimple Groups