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, where my mentors are Henryk Iwaniec and Alex Kontorovich. I am principally interested in objects at the intersection of the geometry, arithmetic and dynamics of discrete subgroups of SL(2,R). I received my PhD in June 2016 from ETH
Zürich. My advisor was
Alessandra Iozzi.


Short CV

Number Theory Seminar 
Spring 2019

Math 356 Theory of Numbers  Syllabus, Notes

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

Publications
Effective counting for discrete lattice orbits in the plane via Eisenstein series (with Amos Nevo, Rene Rühr, Barak Weiss)  Preprint (2019)
Transformation laws for generalized Dedekind sums associated to Fuchsian groups (with Jay Jorgenson, Cormac O'Sullivan, Lejla Smajlović)  Preprint (2019)
Dedekind sums, reciprocity and nonarithmetic groups  Contemporary Mathematics 732 (2019), 1925
Reciprocity laws for Dedekind symbols and the Euler class  Proc. Amer. Math. Soc. 146 (2018), 13671376
Dedekind symbols and equidistribution mod 1  Journal of Number Theory 172 (2017), 270286
Dedekind symbols and applications of the spectral theory of Kloosterman sums  Diss. ETH No. 23634 (2016)
Unpublished and expository material
Geometry  Lecture notes for Math 435, Rutgers (2017)
A dynamical outlook on orbital counting problems (with Xin Zhang)  School on Apollonian packings (2014)
Quasihomomorphisms and refinements of property (T)  Master thesis, ETH (2012)
Autour du theoreme de Szemeredi  EA, Ecole Polytechnique (2010)
Uniquely ergodic rotations, nilrotations, and equidistribution  Bachelor thesis, ETH (2010)
Miscellanea
Rutgers' Number Theory Seminar archive: 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 Apr 2019
