Claire Burrin

ETH Zürich
Department of Mathematics
Rämistrasse 101
8092 Zürich, Switzerland

Office: HG J16.2
Phone: +41 44 632 40 97

Since September 2020, I am a Senior Research Associate (senior assistant/Oberassistentin) at ETH Zürich. In Fall 2020, I will also be a remote member of the program Cohomology in Arithmetic held at CRM in Montréal.

My main research area is number theory, and principally connections with geometry and dynamics.

Recent & upcoming talks

Aug 14: CRM Members' Seminar
Oct 21: ETH, Geometry Seminar
Dec 4-7: CMS Winter Meeting Session on Probability in Number Theory

Publications, preprints, and work in preparation

  • The Siegel-Veech transform for pairs of discrete lattice orbits in the plane, with Samantha Fairchild. In preparation.
  • Windings of prime geodesics, with Flemming von Essen. Preprint available on request.
  • Translates of rational points on expanding horocycles on the modular surface, with Uri Shapira and Shucheng Yu. Preprint, 2020.
  • Effective counting for discrete lattice orbits in the plane via Eisenstein series, with Amos Nevo, Rene Rühr, Barak Weiss, 2019. To appear in L'Enseignement Mathématique.
  • Transformation laws for generalized Dedekind sums associated to Fuchsian groups, with Jay Jorgenson, Cormac O'Sullivan, Lejla Smajlović. Acta Arithmetica 196, no.2, 2020.
  • Dedekind sums, reciprocity, and non-arithmetic groups. Contemporary Mathematics 732, 2019.
  • Reciprocity of Dedekind sums and the Euler class. Proc. Amer. Math. Soc. 146, no.4, 2018.
  • Generalized Dedekind sums and equidistribution mod 1. J. Number Theory 172, 2017.
  • Dedekind symbols and applications of the spectral theory of Kloosterman sums. Dissertation ETH No. 23634, 2016. Awarded the ETH medal for outstanding thesis.

  • Short CV (pdf)

    2020-: Senior Research Associate, ETH Zürich.
    Fall 2020: CRM-ISM Postdoctoral Fellow, CRM, Montréal. (Eventually declined)
    2016-2020: Hill Assistant Professor, Rutgers, the State University of New Jersey.
    2012-2016: PhD, ETH Zürich. Program Associate, MSRI (2015). Visiting student, Princeton University (2013).
    2007-2012: BSc, MSc in Mathematics, ETH Zürich. M1, École Polytechnique (2010-2011).


  • I organized the Number Theory Seminar at Rutgers in Fall 19, Spring 19, Fall 18, Spring 18
  • Combinatorics - weeklong course prepared for the RYSP summer program (2019)
  • Theory of Numbers - Lecture notes for Math 356, Rutgers (2019), see also the course syllabus
  • Geometry - Lecture notes for Math 435, Rutgers (2017)
  • A dynamical outlook on orbital counting problems (with Xin Zhang) (2014)
  • Quasihomomorphisms and refinements of property (T) - Master thesis, ETH Zürich, 2012
  • Autour du théorème de Szemerédi - EA, École Polytechnique (2010)
  • Uniquely ergodic rotations, nilrotations, and equidistribution - Bachelor thesis, ETH (2010)

  • Updated on 16.09.20