Bogdan Zavyalov

@bogdan_zavyalov

Assistant Professor at the University of Maryland

1 follower15 works

About

I am currently an assistant professor at the University of Maryland. Previously, I was a postdoc at the Princeton University (2024-2025), a postdoc at the Institute for Advanced Study (2022-2025), and a postdoc at Max Planck Institute (2021-2022). Before that, I was a graduate student at Stanford University.

Personal Information

Current Positions

Assistant Professor, University of Maryland

Languages

Russian (native)

English (fluent)

Researcher Info

ORCID iD

0000-0001-5218-3636

Interests

Number Theory Algebraic Geometry

Contact Information

Emails

work: bogd.zavyalov@gmail.com

Links

Personal website: https://bogdanzavyalov.com

The torsion component of the Picard scheme

Jul 29, 2026OtherBogdan Zavyalov

Every finite flat commutative group scheme over a noetherian local ring is the torsion component of the Picard scheme of a smooth projective scheme with 3-dimensional fibers, built as a quotient of a complete intersection. An application: Hodge numbers that jump in a smooth projective family.

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A non-Noetherian local ring with finitely generated maximal ideal

Jul 29, 2026NotesBogdan Zavyalov

A complete local ring with a finitely generated maximal ideal is Noetherian. Drop completeness and it fails: an ultraproduct construction gives a non-Noetherian local ring whose maximal ideal is principal.

550

Fun example: empty colimit does not commute with empty limit

Jul 29, 2026NotesBogdan Zavyalov

Why the definition of a filtered category insists on non-emptiness: the empty colimit fails to commute with the empty limit, and that is the only failure.

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Recent works