Claire Burrin


ETH Zürich
Department of Mathematics
Rämistrasse 101
8092 Zürich, Switzerland
Office: HG J16.2
Phone: +41 44 632 40 97
claire.burrin@math.ethz.ch



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 47: CMS Winter Meeting Session on Probability in Number Theory

Publications, preprints, and work in preparation
The SiegelVeech 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 nonarithmetic 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: CRMISM Postdoctoral Fellow, CRM, Montréal.
(Eventually declined)

20162020: Hill Assistant Professor, Rutgers, the State University of New Jersey.

20122016: PhD, ETH Zürich. Program Associate, MSRI (2015). Visiting student, Princeton University (2013).

20072012: BSc, MSc in Mathematics, ETH Zürich. M1, École Polytechnique (20102011).


Miscellanea
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
