Nir Avni

I am a student in the Einstein Institute of Mathematics at the Hebrew University of Jerusalem.

My advisors are David Kazhdan and Alex Lubotzky.

My email is: MyLastName(dot)MyFirstName(at)gmail(dot)com

Research Interests

• Representation Theory.
• Algebraic Groups.
• Motivic Integration.

Publications

Written

• Spectral and Mixing Properties of Actions of Amenable Groups. Electronic Research Anouncements of the American Mathematical Society 11 (2005), 57-63.
• Entropy Theory for Cross Sections. Submitted.
• The Value Ring of Geometric Motivic Integration and the Iwahori Hecke Algebra of SL_2, By Ehud Hrushovski and David Kazhdan. Appendix by Nir Avni. To appear in Geometric and Functional Analysis.
• Conjugacy Classes of 3 By 3 Matrices Over Local Rings, With Uri Onn, Amrithanshu Prasad and Leonid Vasserstein. Submitted.
• Connectivity of the Product Replacement Graph of Simple Groups of Bounded Lie Rank, With Shelly Garion. Submitted.

In preparation

• Arithmetic Groups Have Rational Representation Growth.
• Representation Growth of Lattices in SL_3(R). With Uri Onn.

Last update: 2/10/07