Young Scholars in the Analytic Theory of Numbers and Automorphic Forms

March 28-29, 2022
Mathematical Institute, University of Bonn

Program and abstracts (pdf)

Please make sure to have an ID on you on both days, as it will be checked at the canteen.

Monday, March 28

08:30 - 09:20 Registration
09:20 - 09:30 Welcome remarks
09:30 - 10:30 Asbjørn Nordentoft: On the distribution of closed geodesics on modular curves
10:30 - 11:30 Giulia Cesana: Asymptotic equidistribution for partition statistics and topological invariants
11:30 - 13:00 Lunch
13:00 - 14:00 Robin Frot: Non-vanishing of L-functions at the central value
14:00 - 15:00 Raphael Steiner: Fourth moments of automorphic forms
15:00 - 15:40 Coffee break
15:40 - 16:00 Alessandro Lägeler: Cycle Integrals of the Parson Poincaré Series
16:00 - 16:20 Tim Davis: Fourier coefficients of Hilbert modular forms at cusps
16:20 - 16:40 Ilaria Viglino: Splitting properties of certain families of Sn-polynomials and applications to class group torsion
16:40 - 17:00 Svenja zur Verth: Distribution of modular symbols
17:00 - 17:20 Andreas Mono: Constructions of various Maaß forms via quadratic forms
18:30 Conference dinner

Tuesday, March 29

09:00 - 9:50 Priyanka Majumder: Bounds for canonical Green's functions of Fuchsian groups
9:50 - 10:20 Coffee break
10:20 - 10:40 James Branch: A survey on half integral weight modular forms
10:40 - 11:40 Sonja Žunar: Non-vanishing of Poincaré series
11:40 - 12:00 Joshua Drewitt: An introduction to the space of real-analytic modular forms
12:00 - 12:20 Frederik Broucke: Pointwise analysis of Riemann's other function
12:20 - 12:40 Vignesh Arumugam Nadarajan: Non-correlation between Fourier coefficients of automorphic forms and trace functions
12:40 - 14:00 Lunch
14:00 - 15:00 Félicien Comtat: The Kuznetsov formula for GSp(4)
15:00 - 15:20 Dávid Tóth: On a generalization of the Selberg trace formula
15:20 - 15:40 Antareep Mandal: Uniform sup-norm bounds for Siegel cusp forms
15:40 - 16:00 Benjamin Brindle: Proving SZ-duality with connected sums