_____

Senior Lecturer, 
Tel Aviv University
Room 235
Office hours: By appointment
Office phone: +972-3-640-8235
Email: doronpuder at gmail

Before joining Tel Aviv University in Fall 2016, I was a member of the School of Mathematics at the Institute for Advanced Study in Princeton for two years, after completing my PhD studies at the Einstein Institute of Mathematics, at the Hebrew University of Jerusalem, under the supervision of Nati Linial


Research Interests: 
  • Word maps and word measures on groups
  • Random walks and expansion in random graphs and (random) Cayley graphs
  • Free groups and their automorphism groups
  • Random Matrix Theory 
  • Combinatorial and Geometric Group Theory
  • Combinatorics and Graph Theory

Papers:
  • Matrix Group Integrals, Surfaces, and Mapping Class Groups I: U(n)With Michael Magee. [journalarXiv]
    Inventiones Mathematicae, to appear.
  • The Markoff Group of Transformations in Prime and Composite ModuliWith Chen Meiri and appendix by Dan Carmon[journalarXiv]
    Duke Mathematical Journal 167 (14), 2679--2720, 2018.
  • Expansion of Random Graphs: New Proofs, New Results[journalarXiv]
    Inventiones Mathematicae 201 (3), 845-908, 2015. 
  • Stalling Graphs, Algebraic Extensions and Primitive Elements in F2. With Ori Parzanchevski. [journalarXiv]
    Mathematical Proceedings of the Cambridge Philosophical Society 157 (1), 1--11, 2014. 
  • Primitive Words, Free Factors and Measure Preservation. [journalarXiv]
    Israel Journal of Mathematics 201 (1), 25--73, 2014 
  • Word Maps and Spectra of Random Graph LiftsWith Nati Linial[journalarXiv]
    Random Structures and Algorithms 37 (1) 100--135, 2010. 
Preprints / Work in Progress:
  • Word Measures on Unitary Groups. With Michael Magee. [arXiv]
     The results of this preprint have been extended and generalized in the paper "Matrix Group Integrals, Surfaces, and Mapping Class Groups I: U(n)"  appearing above. However, this preprint contains useful background, examples and a somewhat different approach in the proofs. 
  • Surface Words are Determined by Word Measures on Groups. With  Michael Magee, submitted [arXiv]
  • Matrix Group Integrals, Surfaces, and Mapping Class Groups II: O(n) and Sp(n). With  Michael Magee, submitted. [arXiv]
  • Some Orbits of Free Words that are Determined by Measures on Finite Groups. With Liam Hanany and Chen Meiri.
  • Word Measures on GL(n,F_q). With Danielle West.
  • Notes on the Cogrowth Formula: the Regular, Biregular and Irregular Cases
  • Topological Criterion for Diagramatically Aspherical Group Presentations
Book:

Advanced Classes Taught:



Seminars:
    Starting in the Spring semester of 2018, I am coordinating the Colloquium of the School of Mathematical Sciences in Tel Aviv University.

    I used to co-organize, together with Yair Hartman, the YOUNGCTION NOW! wandering seminar.