• 119 Citations
20052023
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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

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Grants 2013 2023

Simons fellowship 2019-2020

Avni, N.

Simons Foundation

9/1/198/31/20

Project: Research project

Arithmetic Groups
Finite Group
Groupoid
Model Theory
Homotopy

Word distributions in groups

Avni, N.

National Science Foundation

7/1/196/30/22

Project: Research project

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

Sloan Research Fellowship

Avni, N.

Alfred P. Sloan Foundation

9/15/149/15/16

Project: Research project

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

Research Output 2005 2019

  • 119 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
Multiplicity
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
Rigidity
Isomorphic
First-order
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
Counting
n-dimensional
Isomorphism
Count
4 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
9 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