Charlotte Dombrowsky

I am a PhD candidate in number theory at Leiden University under the supervisor of Dr. Eugenia Rosu. My research interests are modular forms and their L-functions, the Shimura/Shintani correspondence and (locally) harmonic Maass forms. I am in particular interested in modular forms whose level is not squarefree.
Previously, I completed both my Master's and Bachelor's degree in Mathematics at ETH Zurich. Maryna Viazovska supervised my Master thesis.

Contact
Gorlaeus Gebouw
Einsteinweg 55
2333 CC Leiden
The Netherlands

c.k.l.NAME@ math.leidenuniv.nl

(replace NAME by my surname)

My CV is available upon request.

Research

In Preparation

  • On the Elliptic Curve X_0(49) over Quadratic Extensions (preprint)
  • Central Values of L-Functions of Twisted Modular Forms and Local Polynomials (in progress)

    • Published

  • Experimental investigations on Lehmer's Conjecture for elliptic curves.
    To appear in LuCaNT: LMFDB, Computation, and Number Theory, Contemporary Mathematics. Joint with Sven Cats, John Micheal Clark, Mar Curcó-Iranzo, Krystal Maughan and Eli Orvis.
  • Sums of Proper Divisors with Missing Digits
    Research Directions in Number Theory, Springer AWMS, 32, 93-110 (2024). Joint with Kübra Benli, Giulia Cesana, Cécile Dartyge, and Lola Thompson.
  • Packungen aus Kreisscheiben. Wie eine wahrscheinlichkeitstheoretische Sichtweise eine geometrische Analyse vervollständigen kann
    Elem. Math. 74, no. 2, 45-62 (2019) Joint with Myriam Fradon and Sylvie Roelly.

    • Applied Mathematics

  • Merging High-Resolution Underwater Depth Maps with Low-Resolution Background.
    Scientific Proceedings of the Study Group Mathematics with Industry SWI 2025. Joint with Brady Metherall, Alex Braat, Bas van ' t Hof, Dion Leijnse, and Nandan Malhotra.

    • Talks

    07/2025

    Central Values of L-Functions of Twisted Modular Forms, The Bielefeld Algebraic and Arithmetic Geometry Seminar, Bielefeld

    06/2025

    Central Values of L-Functions of Twisted Modular Forms, Journées Arithmétiques, Luxembourg

    05/2025

    Central Values of L-Functions of Twisted Modular Forms, Oberseminar Zahlentheorie, Köln

    10/2024

    L-functions of Twisted Modular Forms of Prime Power Level, Dutch Analytic Number Theory Symposium, Utrecht

    09/2024

    L-functions of Twisted Modular Forms of Prime Power Level, Analytic and Explicit results of zeros of L-functions, Bedlewo

    10/2023

    Reincarnations of X_0(49) and a Theorem of Waldspurger, PhD Away Day from the University of Luxemburg, Leiden (combined talk with Alex Braat)

    11/2021

    An Upper Bound for Packings in Spheres, Intercity Seminar, Leiden

    Teaching

    I have been teaching assistant for several courses:

    Fall 2024

    Calculus and Linear Algebra for Computer Science, Leiden University

    Spring 2024

    Algebra 3 (Galois Theory), Leiden University

    Fall 2023

    Algebraic Number Theory, Leiden University

    Spring 2023

    Elliptic Curves, Leiden University

    Fall 2022

    Wiskundige Structuren (Mathematical Structures, undergraduate course), Leiden University

    Spring 2022

    Calculus for Political Science Students, Leiden University College

    Spring 2020

    Algebra I (undergraduate course), ETH

    Activities

    03/2022-present

    Co-organizing informal activities for the women* working at the Mathematical Institute (Leiden). Our goal is to foster a safe place for discussions, networking and for supporting each other.

    10/2022-11/2024

    Representative of the PhD candidates in the Institute Council of the Mathematical Institute (Leiden)

    Last update: October 2025