Grants per year

## 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.

- 1 Similar Profiles

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

Arithmetic Groups

Finite Group

Groupoid

Model Theory

Homotopy

Finite Group

Arithmetic Groups

Haar Measure

Diophantine equation

Positive Characteristic

## Higher Aspects of Counting Points on Schemes

United States-Israel Binational Science Foundation

10/1/19 → 9/30/23

Project: Research project

Counting

Ring

Finite Rings

Isomorphism Classes

Tangent Space

Group Theory

Topological Field Theories

P-adic Groups

Fourier coefficients

Representation Theory

## Research Output 2005 2019

## 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 journal › Article

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 journal › Article

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 journal › Article

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 journal › Article

Arithmetic Groups

Base Change

Congruence Subgroups

Affine Group

Semisimple Groups

8
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 journal › Article

Rational Singularities

Local System

Moduli Space

Asymptotic Representation

Semisimple Groups