Bogdan Zavyalov Email: bogd.zavyalov@gmail.com I am a currently a postdoc at the Institute for Advanced Study. Previously, I was a postdoc at Max Planck Institute. Before that, I was a graduate student at Stanford University. I am interested in number theory and algebraic geometry, especially non-archimedean analytic geometry. Papers Poincare Duality Revisited, 2023 Arithmetic Properties Of ell-adic Etale Cohomology and Nearby Cycles of Rigid-Analytic Spaces (joint with D. Hansen), 2023 Lefschetz Theorems in flat Cohomology And Applications (joint with S. Cotner), 2022 Mod-p Poincare Duality in p-adic Analytic Geometry, 2021 Almost Coherent Modules and Almost Coherent Sheaves, 2021 Sheafiness Of Strongly Rigid-Noetherian Huber Pairs, 2021 Altered Local Uniformization of Rigid-Analytic Spaces, 2021 Quotients of Adic Spaces and Admissible Formal Schemes, 2021 Chow Groups of Abelian Varieties and Beilinson's Conjecture, 2016 (preprint)

Notes

• Notes on Adic Geometry (2023). Supplemantary notes to my paper "Poincare Duality Revisited".
• Big Monodromy notes (2019). Notes for a talk on the S-unit equation following Chapter 4 of Lawrence-Venkatesh paper. Given at the Stanford Number Theory Learning Seminar, 2019
• Spherical Representations (2018). Notes for a talk on the classification of spherical representations of GL_2(F) for a local field F. Given at the Stanford Number Theory Learning Seminar

Seminars

• Prismatic Reading Group, 2022
• Mixed Hodge Modules Reading Group, 2021-2022
• Derived Algebraic Geometry Reading Group, 2020

Non-math projects

• Thuses.com An online publishing platform for mathematicians. A place for everything in math that just has to be shared
• Miftakhov.com A website with information about the polical court case against Moscow State graduate student Azat Miftakhov

Many thanks to Ya.Naprienko for helping with setting up the website