Claire Burrin


Hill Assistant Professor
Department of Mathematics
Rutgers University  Hill Center
110 Frelinghuysen Rd
Piscataway, NJ 088548019
Office: Room 232, Hill Center
EMail: claire.burrin@rutgers.edu



I am a Hill Assistant Professor at Rutgers University. My mentors are Henryk Iwaniec and Alex Kontorovich. I study numbertheoretical aspects of discrete subgroups of SL(2,R) and PSL(2,R), and its interactions with homogeneous dynamics, hyperbolic geometry, spectral geometry, and the theory of automorphic forms.
Before coming to Rutgers, I received my PhD in June 2016 from ETH
Zürich, where my advisor was
Alessandra Iozzi.


Short CV

Rutgers' Number Theory Seminar 
Fall 2019

Math 477 Probability Theory  Syllabus

Research projects  If you are a math major interested in working on a research project, you can contact me!

Upcoming talks
Sep 4: UC Berkeley, Topology Seminar

Oct 56: MaineQuébec Number Theory Conference

Oct 15: Rutgers, Geometry/Topology Seminar

Nov 13: Boston College, Dynamics Seminar

Nov 21: Joint NYCUNYColumbia Number Theory Seminar

Publications and preprints

Windings of prime geodesics [Available upon request]
With Flemming von Essen

Effective counting for discrete lattice orbits in the plane via Eisenstein series
[ArXiv:1905.01493]
With Amos Nevo, Rene Rühr, Barak Weiss

Transformation laws for generalized Dedekind sums associated to Fuchsian groups
[ArXiv:1904.11333]
With Jay Jorgenson, Cormac O'Sullivan, Lejla Smajlović

Dedekind sums, reciprocity, and nonarithmetic groups
[ArXiv:1809.03038]
[Contemp. Math.]
Contemporary Mathematics 732 (2019), pp. 1925

Reciprocity of Dedekind sums and the Euler class
[ArXiv:1609.03588]
[Proc. AMS]
Proc. Amer. Math. Soc. 146 (2018), pp. 13671376

Generalized Dedekind sums and equidistribution mod 1
[ArXiv:1509.04429]
[J. Number Theory]
Journal of Number Theory 172 (2017), pp. 270286


Theses

Dedekind symbols and applications of the spectral theory of Kloosterman sums
Dissertation ETH No. 23634, 2016 (awarded ETH medal and moneyprize)

Quasihomomorphisms and refinements of property (T)
Master thesis, ETH Zürich, 2012


Miscellanea
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)
Autour du théorème de Szemerédi  EA, École Polytechnique (2010)
Uniquely ergodic rotations, nilrotations, and equidistribution  Bachelor thesis, ETH (2010)
Rutgers' Number Theory Seminar archive:
Spring 2019,
Fall 2018,
Spring 2018
Some older teaching at ETH: Multilinear algebra (Spring 2016), Modular forms (Fall 2015), Mathematics (Fall 2014), Algebra 2 (Spring 2014), Algebra 1 (Fall 2013)

Last updated in Aug 2019
