AARON BERTRAM

Professor

Mathematics

  • Professor
    Mathematics

RESEARCH INTERESTS

I am interested in algebraic geometry over the complex numbers. The problems that attract me most are those that have emerged from close interactions with string theorists. These include: stability conditions on the derived category of coherent sheaves (d-branes) and enumerative problems for counting curves (Gromov-Witten invariants). The two problems are closely related via mirror symmetry when the ambient space is a Calabi-Yau threefold, but they are quite interesting more generally. I am also interested in applications to representation theory and commutative algebra. 

GRANTS

  • EXTERNAL GRANT OR CONTRACT
    Simons Travel Grant
    Simons Foundation1 Jan 2020
    Simons Foundation
  • EXTERNAL GRANT OR CONTRACT
    STABILITY CONDITONS
    SIMONS FOUNDATION7 Jan 2018 - 31 Dec 2019
    SIMONS FOUNDATION
  • EXTERNAL GRANT OR CONTRACT
    BRIDGELAND STABILITY
    NATIONAL SCIENCE FOUNDATION5 Jan 2017 - 31 Dec 2020
    NATIONAL SCIENCE FOUNDATION
  • EXTERNAL GRANT OR CONTRACT
    MATH TEACHER PREPARATION GRANT
    UTAH SYSTEM OF HIGHER EDUCATIO7 Jan 2016 - 31 Dec 2019
    UTAH SYSTEM OF HIGHER EDUCATIO
  • EXTERNAL GRANT OR CONTRACT
    MFA 16
    MATH FOR AMERICA7 Jan 2015 - 31 Dec 2019
    MATH FOR AMERICA
  • EXTERNAL GRANT OR CONTRACT
    USOE
    UT STATE OFFICE OF EDUCATION7 Jan 2015 - 31 Dec 2017
    UT STATE OFFICE OF EDUCATION
  • EXTERNAL GRANT OR CONTRACT
    Bridgeland Moduli of Derived Objects on Algebraic Surfaces (0901128)
    National Science Foundation15 Aug 2009 - 31 Jul 2014
    National Science Foundation
  • EXTERNAL GRANT OR CONTRACT
    Support and Mentoring in an Alternative Route to Teaching (SMART)
    MATH FOR AMERICA15 Aug 2009 - 31 Jul 2016
    MATH FOR AMERICA
  • EXTERNAL GRANT OR CONTRACT
    NSF NOYSE MFA & NAVAJO SUPPLEM
    NATIONAL SCIENCE FOUNDATION1 Jan 2009 - 31 Dec 2016
    NATIONAL SCIENCE FOUNDATION
  • EXTERNAL GRANT OR CONTRACT
    EMSW21-VIGRE: Vertical Integration in Mathematics at the University of Utah (0602219)
    NATIONAL SCIENCE FOUNDATION15 Aug 2006 - 31 Jul 2013
    NATIONAL SCIENCE FOUNDATION
  • EXTERNAL GRANT OR CONTRACT
    Algebraic Geometry Inspired by Physics
    National Science Foundation1 Jul 2005 - 30 Jun 2008
    National Science Foundation
  • EXTERNAL GRANT OR CONTRACT
    Questions Related to Curves on Complex Projective Manifolds
    National Science Foundation1 Jul 2002 - 30 Jun 2006
    National Science Foundation
  • EXTERNAL GRANT OR CONTRACT
    ENUMERATIVE GEOMETRY
    NATL SCIENCE FNDN7 Jan 1995 - 31 Dec 1999
    NATL SCIENCE FNDN
  • EXTERNAL GRANT OR CONTRACT
    TOPOLOGY IN ALGEBRAIC GEOMETRY
    NATL SCIENCE FNDN8 Jan 1993 - 31 Dec 1996
    NATL SCIENCE FNDN