Profile / 01
About
me.
I’m Yuenian Zhou (周越年), a Ph.D. candidate in mathematics and an associated member of SFB 1085 “Higher Invariants” at Universität Regensburg (Germany) since 2024, supervised by Prof. Moritz Kerz.
Previously, I completed my master’s studies at the Université Paris-Saclay (Paris-Sud) AAG (Analysis, Arithmetic, Geometry). Before that, I obtained my bachelor’s degree in mathematics at Zhejiang University in China.
- Office
- M 005
02 / Current questions
Research interests
My research interests lie in algebraic geometry and number theory, centered on local systems, crystals, isocrystals, and their moduli stacks. I am especially interested in moduli-theoretic methods for studying rigidity and arithmetic phenomena in complex and mixed-characteristic geometry.
- ℓ-adic and p-adic local systems
- ℓ-independence
- p-adic Hodge theory
- Fontaine–Mazur conjecture
- Simpson’s motivicity conjecture
More broadly, I want to use moduli-theoretic and stack-theoretic methods to understand the geometric and arithmetic properties of local systems, crystals, and isocrystals, including their deformation theory, rigidity, and behavior over mixed-characteristic local fields.
03 / Marginalia
Notes in the margin
