Claire Burrin

Hill Assistant Professor
Department of Mathematics
Rutgers University - Hill Center
110 Frelinghuysen Rd
Piscataway, NJ 08854-8019

Office: Room 232, Hill Center
E-Mail: claire.burrin@rutgers.edu

Using ideas from analytic number theory, harmonic analysis, automorphic forms, and homogeneous dynamics, I study problems relating the arithmetic and geometry of discrete subgroups of Lie groups.

Teaching - Spring 2020

Math 350H Honors Linear Algebra - Syllabus
Math 477 Probability Theory - Syllabus
Research projects - If you are a math major interested in working on a research project, you can contact me!

Recent Talks

Jan 1: Weizmann Institute, Midrasha on Groups
Jan 2: Technion, Groups, Dynamics, and Related Topics Seminar
Jan 30: Québec-Vermont Number Theory Seminar, Montréal

Publications, preprints, and work in preparation

  1. Translates of rational points on expanding horocycles on the modular surface,
    with Uri Shapira and Shucheng Yu. In preparation.

  2. The Siegel-Veech transform for pairs and applications.
    with Samantha Fairchild. In preparation.

  3. Windings of prime geodesics,
    with Flemming von Essen. In preparation

  4. Effective counting for discrete lattice orbits in the plane via Eisenstein series,
    with Amos Nevo, Rene Rühr, Barak Weiss. Preprint (2019).
  5. Transformation laws for generalized Dedekind sums associated to Fuchsian groups,
    with Jay Jorgenson, Cormac O'Sullivan, Lejla Smajlović. To appear in Acta Arithmetica.

  6. Dedekind sums, reciprocity, and non-arithmetic groups.
    Contemporary Mathematics 732 (2019), pp. 19--25.

  7. Reciprocity of Dedekind sums and the Euler class.
    Proc. Amer. Math. Soc. 146 (2018), pp. 1367-1376.

  8. Generalized Dedekind sums and equidistribution mod 1.
    Journal of Number Theory 172 (2017), pp. 270-286.

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


Short CV (pdf)

Fall 2020: CRM-ISM Postdoctoral Fellow, Université de Montréal.
2016-2020: Hill Assistant Professor, Rutgers University.
2012-2016: PhD, ETH Zurich. Program Associate, MSRI (2015). Visiting student, Princeton University (2013).
2007-2012: BSc, MSc in Mathematics, ETH Zurich. M1 at École Polytechnique (2010-2011).

Miscellanea

  • From September 2017 to December 2019, I organized the Number Theory Seminar at Rutgers.
    Here is the archive: Fall 2019, Spring 2019, Fall 2018, Spring 2018
  • 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)
  • 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 June 2019