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: 
  • Free Groups: word maps and word measures, Aut(F), representations
  • Expansion: expansion in random graphs, expansion in Cayley graphs, Ramanujan graphs, expansion in Lie groups
  • Combinatorial and Geometric Group Theory
  • Combinatorics and Graph Theory

Advanced Classes Taught:

  • Unitary Groups Integrals, Surfaces, and Mapping Class GroupsWith Michael Magee. [arXiv]
    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 "Unitary Groups Integrals, Surfaces, and Mapping Class Groups"  appearing above. However, this preprint contains useful background, examples and a different approach in the proofs. 
  • Matrix Integrals, Surfaces, and Mapping Class Groups II: Orthogonal and Symplectic Groups. With  Michael Magee.
  • Some Orbits of Free Words that are Determined by Measures on Finite Groups. With Liam Hanani 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
    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.