Bogdan Zavyalov

Email: bogd.zavyalov@gmail.com

I am a currently a postdoc at Princeton University and a visitor at Institute for Advanced Study. Previously, I was a postdoc at the Institute for Advanced Study (2022-2024) and a postdoc at Max Planck Institute (2021-2022). Before that, I was a graduate student at Stanford University.

I am interested in number theory and algebraic geometry, especially non-archimedean analytic geometry. You can find IAS short talks explaining my research here: (IAS, 2023) and (IAS, 2022). Here are also some recordings of my research talks (Chicago, 2024), (IAS, 2023).

CV

• CV (last updated in August 2024)

Papers

• Relative Poincare Duality in Non-archimedean Geometry (joint with S. Li and E. Reinecke), arXiv:2410.08200
• Some Foundational Results In Adic Geometry, arXiv:2409.15516
• Algebraization Techniques and Rigid-Analytic Artin-Grothendieck Vanishing (joint with O. Gabber), arXiv:2402.08741
• Poincare Duality in Abstract 6-functor Formalisms, arXiv:2301.03821
• Arithmetic Properties Of ell-adic Etale Cohomology and Nearby Cycles of Rigid-Analytic Spaces (joint with D. Hansen), arXiv:2301.01800
• Lefschetz Theorems in flat Cohomology And Applications (joint with S. Cotner), Compositio, arXiv:2204.06121
• Mod-p Poincare Duality in p-adic Analytic Geometry, Annals of Mathematics (to appear), arXiv:2111.01830
• Almost Coherent Modules and Almost Coherent Sheaves, Memoirs of the European Mathematical Society (to appear), arXiv:2110.10773
• Sheafiness Of Strongly Rigid-Noetherian Huber Pairs, Mathematische Annalen, arXiv:2102.02776
• Altered Local Uniformization of Rigid-Analytic Spaces, Israel Journal of Mathematics, arXiv:2102.04752
• Quotients of Adic Spaces and Admissible Formal Schemes, Algebra and Number Theory, arXiv:2102.02762
• Chow Groups of Abelian Varieties and Beilinson's Conjecture, 2016 (preprint)