Dr. Giulia Cesana
About Me
Between September 2019 and July 2023 I did my PhD under the supervision of Prof. Dr. Kathrin Bringmann at the University of Cologne.
Prior to this I completed my masters at the University of Cologne under supervision of Prof. Dr. Kathrin Bringmann.
My main research interests are modular (and Jacobi) forms, partitions and their statistics and applications, generating functions and asymptotics. I am particularly interested in Fourier coefficients of modular forms.
Teaching
Summer 2023: Seminar on modular forms (with Prof. Dr. Kathrin Bringmann), Supervisor & Analytic number theory (Dr. Johann Franke), Coordinator and Teaching assistant.
Winter 2022/23: Algebra (Prof. Dr. Sander Zwegers), Teaching assistant.
Oct. - Nov. 2022: Mathematics 1 for teaching (PD Dr. Michael Mertens), Teaching assistant.
Summer 2022: Elementary number theory (Prof. Dr. Kathrin Bringmann), Teaching assistant.
Winter 2021/22: Algebra (Prof. Dr. Kathrin Bringmann), Teaching assistant.
Summer 2021: Linear algebra 2 (PD Dr. Stephan Ehlen and Prof. Dr. Kathrin Bringmann), Coordinator and Teaching assistant.
Winter 2020/21: Linear algebra 1 (PD Dr. Stephan Ehlen ), Coordinator and Teaching assistant.
Summer 2020: Seminar on modular forms (with Prof. Dr. Kathrin Bringmann), Supervisor & Linear algebra 2 (Prof. Dr. Peter Littelmann), Teaching assistant.
Winter 2019/20: Linear algebra 1 (Prof. Dr. Peter Littelmann), Teaching assistant.
Co-supervising
Bachelor Students
David Wambach, Ramanujan's Definition der Mock-Thetafunktionen, summer 2020.
Conferences, Workshops, and Research Visits
Research Visit for follow-up project from Women in Numbers Europe - 4, May 2023, Université de Lorrainé.
Luxembourg Number Theory Day 2022, December 2022, Luxembourg.
ABKLS Seminar, September 2022, Cologne.
Women in Numbers Europe - 4, August - September 2022, Utrecht.
Ramanujan and Euler: partitions, mock theta functions, and q-series, July 2022.
ABKLS Seminar, June 2022, Bonn.
Young Scholars in the Analytic Theory of Numbers and Automorphic Forms, March 2022, Bonn.
Gehaltsverhandlungen beim Jobeinstieg für Frauen (Salary negotiations when starting a job for women), March 2022, Cologne.
Women in automorphic forms, September 2021, Bielefeld.
Grundlagen der Kommunikation - Freundlich und durchsetzungsstark in jeder Lebenslage (Basics of communication - friendly and assertive in every situation), June 2021, Cologne.
Weniger Stress durch mehr Selbstmanagement - Gesunder Umgang mit Stress, Ärger und Hürden des Arbeitsalltags in Studium und Promotion (Less stress through more self-management - healthy handling of stress, anger and hurdles of everyday work in studies and doctorates), May 2021, Cologne.
Online Hausdorff school on "The Circle Method: Entering its Second Century", May 2021, Bonn.
ABKLS Seminar, February 2020, Aachen.
ABKLS Seminar, September 2019, Cologne.
ABKLS Seminar, October 2017, Cologne.
Papers and Preprints
Fourier Coefficients of Weight Zero Mixed False Modular Forms, submitted for publication.
Sums of proper divisors with missing digits, submitted for publication, Springer AWM volume "Women in Numbers Europe 4 - Research Directions in Number Theory", accepted for publication (with Kübra Benli, Cécile Dartyge, Charlotte Dombrowsky, and Lola Thompson).
Asymptotic equidistribution for partition statistics and topological invariants, Journal of Number Theory 256 (2024), pages 373-396 (with William Craig and Joshua Males).
Bivariate asymptotics for eta-theta quotients with simple poles, Ramanujan Journal 62 (2023), pages 47–67 (with Joshua Males).
PhD thesis
You can find my PhD thesis published on Kups via this link.
Talks
Invited Talks
Nancy-Metz number theory seminar, Nancy, May 2023.
International Seminar on Automorphic Forms, Darmstadt, February 2023.
NAAPing Class Group (Working group on Number theory, Arithmetic and Algebraic geometry, and Physics), Tokyo, April 2022.
Young Scholars in the Analytic Theory of Numbers and Automorphic Forms, Bonn, March 2022.
Contributed Talks
Women in automorphic forms, Bielefeld, September 2021.
CDE seminar, Early career online seminar on automorphic forms joining Cologne, Darmstadt, and ETH Zurich, June 2021.
Professional Activities
Referee Work
Research in Number Theory, since 2021.
Lecturer
Cologne Children's University, joint with Christina Roehrig, March 2022.
Co-Organizer
Early Number Theory Researchers (ENTR) Workshop, joint with Lars Kleinemeier, Ingmar Metzler, Andreas Mono, and Dr. Riccardo Zuffetti, October 26-28, 2022.
Early Number Theory Researchers (ENTR) Seminar, joint with Ingmar Metzler and Andreas Mono, summer 2022.
You can also find me on the following platforms: