After completing my bachelor's degree in physics and mathematics and my master's degree in mathematics at the University of Amsterdam, I obtained my doctorate degree at Leiden University in the fall of 2024, under the supervision of Jan Vonk.
This work was awarded the 2024-2025 Stieltjesprijs.
My main research is in algebraic number theory.
I worked for one year as a postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn under mentorship of Pieter Moree and Don Zagier. Since September 2026, I have been a postdoc in the research group of Gabor Wiese at the University of Luxembourg.
My main research interests are p-adic analogues and refinements of the work by Gross and Zagier. More precisely, I study Galois deformations and use these to explicitly compute the q-expansions of the derivative of cuspidal families of p-adic Hilbert modular forms. This approach resembles recent advancements in the newly developed p-adic approach to singular moduli for real quadratic fields using rigid meromorphic cocycles by Henri Darmon and Jan Vonk.
I aim to refine existing results in CM theory by finding explicit formulas for the CM values of modular functions on Shimura curves beyond their norms. In addition, I am keen to explore applications towards the CM values of higher p-adic Green's functions.
Furthermore, I am interested in the emerging p-adic Kudla program and intend to relate my work to p-adic height pairings on Shimura curves.
It is one of my main interests to further strengthen the connection between classical CM theory and the emerging p-adic RM theory and the theory of rigid meromorphic cocycles. In particular, I am interested in rigid meromorphic cocycles for low-dimensional orthogonal groups, and the connection between their special values and the p-adic deformation theory of theta series.
Email: michael.daas at the domain uni.lu