Spring 2023: Complex analysis
Fall 2022: Spectral theory of hyperbolic surfaces (CUSO Graduate Lectures in Berne for the Swiss Doctoral Program)
Spring 2022: Topics in number theory: L-functions and modular forms
Beware: These notes have not been revised - they will contain typos
Publications, preprints, and work in preparation
On the nonmultiplicativity of Fourier coefficients of cusp forms. In preparation.
Rational points on spheres, with Matthias Gröbner. In preparation (2023).
Pairs in discrete lattice orbits with applications to Veech surfaces,
with Samantha Fairchild and an appendix by Jon Chaika. Submitted (2022).
Windings of prime geodesics, with Flemming von Essen. Submitted (2023).
The Manin-Drinfeld theorem and the rationality of Rademacher symbols.
Journal de Théorie des Nombres de Bordeaux 34 (3) (2022), 739-753.
Translates of rational points on expanding horocycles on the modular surface,
with Uri Shapira, Shucheng Yu.
Mathematische Annalen 382 (2022), 655-717.
Infinitely many twin prime polynomials of odd degree, with Matthew Isaac.
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, 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, Lejla Smajlović. Acta Arithmetica 196, no.2, 2020.
Dedekind sums, reciprocity, and non-arithmetic groups.
Contemporary Mathematics 732, 2019.
Reciprocity of Dedekind sums and the Euler class.
Proceedings of the American Mathematical Society 146, no.4, 2018.
Generalized Dedekind sums and equidistribution mod 1.
Journal of Number Theory 172, 2017.
Dedekind symbols and applications of the spectral theory of Kloosterman sums.
Dissertation ETH No. 23634, 2016. ETH medal for outstanding thesis.
Conferences and seminars
I am part of the Zurich Dynamics and Ergodic Theory group and a co-organizer of the joint Ergodic Theory and Dynamical Systems Seminar between ETH and UZH.
This year I am also co-organizing with Yingkun Li, Christina Roehrig and Riccardo Zuffetti the online international seminar on automorphic form, taking place Tuesdays 16-17h (CET). Website here!
Alessandra Iozzi, Michah Sageev and I are organizing the next edition of Ventotene on Groups and Rigidity in the Zimmer Program (GRAZP), September 11-16 2023
Corinna Ulcigrai and I just organized this year's Swiss Mathematical Society autumn conference on Dynamics and Groups at UZH, September 14-16, 2022
Recent & upcoming talks
Nov 23-25, 2022: Stochastic geometry workshop, Osnabrück
Dec 8-9, 2022: Crosscurrents in number theory, analysis and geometry, Paris 13
Feb 23, 2023: Number theory seminar, Basel
Mar 3, 2023: Séminaire de géométrie, Bordeaux
Mar 9, 2023: Séminaire de géométrie et topologie de Marseille
Apr 5, 2023: Algebraic geometry and number theory seminar, Chalmers/Gothenburg
Apr 24-28, 2023: Arithmetic Statistics, Automorphic Forms and Ergodic Methods, MPIM Bonn
May 7-13, 2023: Group actions and harmonic analysis in number theory, MFO
May 30, 2023: Number theory seminar, Shandong University (online)
Jun 12-16, 2023: (minicourse) Geometry and spectra of random hyperbolic surfaces, Université de Montréal
Sep 11-16, 2023: (organizer) Groups and rigidity around the Zimmer program, Ventotene
Oct 4-6, 2023: Women in automorphic forms, Konstanz
Minicourse notes (counting/equidistribution/spectral gap) - Ventotene Conference on Counting Problems (2021)
Spectral theory of hyperbolic surfaces - Lecture notes, ETH (2021)
Archive (2018-19) of the Number Theory Seminar at Rutgers:
Combinatorics - weeklong course prepared for the DIMACS 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)
Zurich, January 2023