معرفی
Shu Sasaki is a researcher active in the fields of Number Theory, Algebraic Geometry, and Modular Forms. His work focuses on Galois Representations, Hilbert Modular Forms, and their geometric and arithmetic properties in characteristic p.
Recent research output includes:
- 2024: A Serre weight conjecture for geometric Hilbert modular forms in characteristic p (European Mathematical Society), advancing understanding of weight conjectures in positive characteristic.
- 2023: A mod p Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties (Astérisque), connecting representation theory to modular variety geometry.
- 2014: Modularity lifting results in parallel weight one and applications to the Artin conjecture (Forum of Mathematics Sigma), addressing tamely ramified Galois representations.
His projects, funded by EPSRC, include studies on Companion forms, p-adic modular forms, congruences between automorphic forms, and their implications for Galois representations. Research keywords reflect a strong emphasis on the interplay between modular forms, representation theory, and arithmetic geometry.
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