Institut für Mathematik


Prof. Dr. Claire Burrin

Institut für Mathematik
Universität Zürich
Winterthurerstrasse 190
CH-8057 Zürich

Tel.: +41 44 635 58 86
Fax: +41 44 635 57 06
Büro: Y27K26
Dynamische Systeme


2022-present: Assistant Professor, UZH

2020-2022: Senior assistant, ETH Zürich

2020: CRM-ISM Postdoctoral Fellowship, CRM, Montréal (declined)

2016-2020: Hill Assistant Professor, Rutgers, the State University of New Jersey

2012-2016: PhD in Mathematics, ETH Zürich

2010-2011: M1, École Polytechnique

2007-2012: BSc/MSc in Mathematics, ETH Zürich



My research is in number theory, and its connections with geometry and dynamics. All my papers are openly accessible on the arXiv at


  • The Manin–Drinfeld theorem and the rationality of Rademacher symbols. Accepted for publication in Journal de Théorie des Nombres de Bordeaux, 2021.
  • Translates of rational points on expanding horocycles on the modular surface, with Uri Shapira and Shucheng Yu. Mathematische Annalen 382 (2022), 655-717.
  • Infinitely many twin prime polynomials of odd degree, with Matthew Issac. The American Mathematical Monthly 128 (2021), no. 10, 929–935.
  • Effective counting for discrete lattice orbits in the plane via Eisenstein series, with Amos Nevo, Rene Rühr, and Barak Weiss. L’Enseignement Mathématique. 66 (2020), no. 3–4, 259–304.
  • Transformation laws for generalized Dedekind sums associated to Fuchsian groups, with Jay Jorgenson, Cormac O’Sullivan, and Lejla Smajlovic. Acta Arithmetica 196 (2020), no. 2, 139–162.
  • Dedekind sums, reciprocity and non-arithmetic groups. Contemporary Mathematics 732 (2019), 19–26.
  • Reciprocity of Dedekind sums and the Euler class. Proceedings of the American Mathematical Society 146 (2018), no. 4, 1367–1376.
  • Generalized Dedekind sums and equidistribution mod 1. Journal of Number Theory 172 (2017), 270–286.
  • Dedekind symbols and applications of the spectral theory of Kloosterman sums. Dissertation ETH No. 23634 (2016). ETH Medal for outstanding thesis.


Vorlesungen & Seminare

Topics in number theory: L-functions and modular forms

Übungen Topics in number theory: L-functions and modular forms

Topics in number theory: L-functions and modular fo


Matthew Welsh,
03.03.22 - 05.03.22Burrin, Claire


Recent and upcoming conferences and special programs

  • August 22-26, 2022: Modular forms in number theory and beyond, Universität Bielefeld
  • June 27-July 1, 2022: Marc Burger's Prime, ETH Zurich 
  • March 15-17, 2022: goMath mini-symposium: Harmonic Analysis and Number Theory, ETH Zurich 
  • Special virtual year on triangle groups, Belyi uniformization, and modularity, BP Pune
  • September 6-11, 2021: Ventotene workshop on counting problems, minicourse speaker (notes)

Recent and upcoming talks in research seminars/colloquia

  • May 3, 2022: Université de Fribourg, Colloquium
  • April 11, 2022: ETH/UZH, Ergodic theory and dynamical systems seminar
  • April 4, 2022: EPFL, Groups, arithmetic, and algebraic geometry seminar 
  • February 28, 2022: University of Hong Kong, Number theory seminar
  • February 14, 2022: Jacobs University Bremen, Online dynamics seminar
  • December 16, 2021: Séminaire virtuel francophone Groupes et Géométrie