Fedor Bogomolov

About

Fedor Bogomolov is a Silver Professor of Mathematics at NYU, with research interests in algebraic geometry and related problems in algebra, topology, and number theory. His work focuses on deep mathematical structures and their interconnections, contributing to the understanding of complex geometric and algebraic systems. As a prominent figure in his field, he has advanced the theoretical foundations of algebraic geometry, impacting related areas in mathematics.

Research topics

• Computer Science
• Mathematics
• Physics
• Pure mathematics
• Mathematical analysis
• Materials science
• Geometry

Selected publications

• Stability of Vector Bundles on Surfaces and Curves

  CRC Press eBooks · 2020 · 13 citations

  1st authorCorresponding

  The main purpose of this article is to compare the properties of stable bundles on surfaces and of their restrictions on the curves. We consider the case of smooth projective surface V and stable vector bundle E, where stability means that E is stable in respect with some polarisations h on V.In fact we shall assume E to be stable in respect with some open subdomain UE in the natural real envelope PicRV of the group PicV. The main theorem of the article shows the existence of a subdomain U E s h…

  PublisherDOI

• Sections of Lagrangian fibrations on holomorphically symplectic manifolds and degenerate twistorial deformations

  Advances in Mathematics · 2022 · 8 citations

  1st authorCorresponding
  PublisherOA PDFDOI

• Lagrangian fibrations for IHS fourfolds

  arXiv (Cornell University) · 2018-10-25 · 4 citations

  preprintOpen access1st authorCorresponding

  In this paper we study the Lagrangian fibrations for projective irreducible symplectic fourfolds and exclude the case of non-smooth base. Our method could be extended to the higher-dimensional cases.

  PublisherOA PDFDOI

• Geometric properties of curves defined over number fields

  European Journal of Mathematics · 2021-08-30 · 3 citations

  article1st authorCorresponding
  PublisherDOI

• Homomorphisms of multiplicative groups of fields preserving algebraic dependence

  European Journal of Mathematics · 2019-01-07 · 2 citations

  article1st authorCorresponding
  PublisherDOI

Recent grants

• Algebraic varieties, birational geometry and the structure of the Galois groups

  NSF · $208k · 2007–2010

• Algebraic Varieties, Birational Geometry and the Structure of the Galois Groups

  NSF · $135k · 2004–2007

• Algebraic Varieties, Birational Geometry and the Structure of the Galois Groups

  NSF · $149k · 2010–2013

Frequent coauthors

• Yuri Tschinkel

  New York University

  75 shared

• Tihomir Petrov

  California State University System

  47 shared

• Bruno De Oliveira

  26 shared

• Christian Böhning

  University of Warwick

  24 shared

• Виктор Степанович Куликов

  24 shared

• Алексей Николаевич Паршин

  23 shared

• Ivan Cheltsov

  23 shared

• Misha Verbitsky

  Mersen (France)

  22 shared

Education

• Ph.D., Mathematics

  Steklov Institute of Mathematics

  1974

• Other, Mathematics

  Moscow University

  1970

Similar researchers at New York University

• Scott Armstrongh-31
• Paul Bourgadeh-28
• Yuri Bakhtinh-18