Teaching
Spring 2024, 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 and preprints
On the crossing number of arithmetic curve systems, with Sebastian Baader and Luca Studer, arXiv 2403.05194, submitted.
Rational points on ellipsoids and modular forms,
with Matthias Gröbner. arXiv 2401.18008, submitted.
Pairs in discrete lattice orbits with applications to Veech surfaces,
with Samantha Fairchild and an appendix by Jon Chaika. To appear, Journal of the European Mathematical Society (JEMS).
Windings of prime geodesics, with Flemming von Essen. arXiv 2209.06233, submitted.
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.
Miscellanea (not intended for publication)
Minicourse notes (counting/equidistribution/spectral gap) - Ventotene Conference on Counting Problems (2021)
A dynamical outlook on orbital counting problems (with Xin Zhang) (2014)
Quasihomomorphisms and refinements of property (T) - Master thesis, ETH Zürich, 2012
Conferences and seminars
I am/was a co-organiser of the following events
International Workshop on Automorphic Forms, SwissMAP research station, Les Diablerets, September 2025, with Luis Garcia (UCL), Yingkun Li and Riccardo Zuffetti (TU Darmstadt)
Ergodic Theory and Dynamical Systems Seminar between ETH and UZH, with Menny Aka, Artur Avila, Manfred Einsiedler, Alex Gorodnik, Cagri Sert, Corinna Ulcigrai, Hao Wu
International Seminar on Automorphic Forms (online), with Luis Garcia (UCL), Yingkun Li and Riccardo Zuffetti (TU Darmstadt)
Ventotene Conference on Groups and Rigidity in the Zimmer Program (GRAZP), September 11-16 2023 in Ventotene, Italy
Swiss Math Society Fall Conference Dynamics and Groups, September 14-16, 2022, at UZH
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At Rutgers: Rutgers Number Theory Seminar (with Henryk Iwaniec, Alex Kontorovich, and Steve D. Miller), Postdoc Colloquium (with Amita Malik, Kei Nakamura)
Recent & upcoming talks
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
Jun 5-9, 2023: (minicourse) Elliptics summer school, Physics Department, UZH
Jun 12-16, 2023: (minicourse) Geometry and spectra of random hyperbolic surfaces, Université de Montréal
Oct 4-6, 2023: Women in automorphic forms, Konstanz
Oct 27, 2023: SMS Fall Conference: Swiss Geometry Days, Brig
Dec 18, 2023: Inaugural lecture, UZH (online recording)
Jan 22, 2024: Séminaire de théorie ergodique de Rennes
Feb 9, 2024: Number theory seminar, University of Virginia
Mar 11-15, 2024: Workshop Analytic number theory, Mittag-Leffler
May 2, 2024: Sphere packings and magical functions, a talk part of the May12 initiative, UZH (slides)
May 13-16, 2024: International Conference on L-Functions and Automorphic Forms, Vanderbilt
Aug 5-9, 2024: Workshop on Dynamical Systems at ICTP, Trieste
Aug 26-30: Workshop on Combinatorial geometry and number theory, EPFL
Sep 9-13, 2024: Arithmetic, dynamics, and harmonic analysis on (locally) symmetric spaces, Paderborn
Mar 10-14, 2025: Recent developments around joint equidistribution in number theory and dynamics, Hausdorff Institute, Bonn
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Short CV
Since 2022: Assistant Professor, SNSF PRIMA Professorship, UZH
2020-2022: Senior Research Associate, ETH
Summer 2021: Member, HIM, Bonn; Fall 202:(Virtual) member, CRM, Montréal
2016-2020: Hill Assistant Professor, Rutgers University. Mentors: Henryk Iwaniec, Alex Kontorovich
2012-2016: PhD student, ETH Zurich. Advisor: Alessandra Iozzi.
Spring 2015: Program Associate, MSRI. Spring 2013: Visiting graduate researcher, Princeton University
Zurich, April 2024
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