Professor in the Department of Mathematics at Northwestern University. My email is: MyLastName (dot)MyFirstName (at)gmail (dot)com. Algebraic Groups. Arithmetic Groups. Applications of Model Theory. All my written papers are on the arxiv.

Avni’s research is on algebraic and arithmetic groups, using tools from different areas of mathematics including dynamics, probability, logic, and representation theory. Avni was awarded the 2009 Levitzky Prize in Algebra from the Israel Mathematical Union, an Alfred P. Sloan Fellowship in 2014 and Simons Fellowships in 2019 and 2023.

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

2023年4月25日 · View a PDF of the paper titled Conjugacy width in uniform higher rank arithmetic groups of orthogonal type, by Nir Avni and Chen Meiri

2020年8月4日 · View a PDF of the paper titled On the model theory of higher rank arithmetic groups, by Nir Avni and Chen Meiri View PDF Abstract: Let $\Gamma$ be a centerless irreducible higher rank arithmetic lattice in characteristic zero.

Nir Avni. Professor. Field(s) of Research: Lie groups Phone number: 847-491-5575 Office location: Lunt 213 [email protected]

2011年10月27日 · Download a PDF of the paper titled Arithmetic groups, base change, and representation growth, by Nir Avni and 3 other authors

Nir Avni. Professor. Field(s) of Research: Lie groups Phone number: 847-491-5575 Office location: Lunt 213 [email protected]

Nir Avni's 38 research works with 351 citations and 1,220 reads, including: Conjugacy width in uniform higher rank arithmetic groups of orthogonal type

Expander graphs, Ramanujan graphs, and their explicit constructions using representation theory. Topics may include: Lattices in algebraic groups, Property (T), Representation theory of PGL (2,Q-p), Ramanujan conjecture. ...