AARON BERTRAM
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 CONTRACTSimons Travel GrantSimons Foundation1 Jan 2020
- EXTERNAL GRANT OR CONTRACTSTABILITY CONDITONSSIMONS FOUNDATION7 Jan 2018 - 31 Dec 2019
- EXTERNAL GRANT OR CONTRACTBRIDGELAND STABILITYNATIONAL SCIENCE FOUNDATION5 Jan 2017 - 31 Dec 2020
- EXTERNAL GRANT OR CONTRACTMATH TEACHER PREPARATION GRANTUTAH SYSTEM OF HIGHER EDUCATIO7 Jan 2016 - 31 Dec 2019
- EXTERNAL GRANT OR CONTRACTMFA 16MATH FOR AMERICA7 Jan 2015 - 31 Dec 2019
- EXTERNAL GRANT OR CONTRACTUSOEUT STATE OFFICE OF EDUCATION7 Jan 2015 - 31 Dec 2017
- EXTERNAL GRANT OR CONTRACTBridgeland Moduli of Derived Objects on Algebraic Surfaces (0901128)National Science Foundation15 Aug 2009 - 31 Jul 2014
- EXTERNAL GRANT OR CONTRACTSupport and Mentoring in an Alternative Route to Teaching (SMART)MATH FOR AMERICA15 Aug 2009 - 31 Jul 2016
- EXTERNAL GRANT OR CONTRACTNSF NOYSE MFA & NAVAJO SUPPLEMNATIONAL SCIENCE FOUNDATION1 Jan 2009 - 31 Dec 2016
- EXTERNAL GRANT OR CONTRACTEMSW21-VIGRE: Vertical Integration in Mathematics at the University of Utah (0602219)NATIONAL SCIENCE FOUNDATION15 Aug 2006 - 31 Jul 2013
- EXTERNAL GRANT OR CONTRACTAlgebraic Geometry Inspired by PhysicsNational Science Foundation1 Jul 2005 - 30 Jun 2008
- EXTERNAL GRANT OR CONTRACTQuestions Related to Curves on Complex Projective ManifoldsNational Science Foundation1 Jul 2002 - 30 Jun 2006
- EXTERNAL GRANT OR CONTRACTENUMERATIVE GEOMETRYNATL SCIENCE FNDN7 Jan 1995 - 31 Dec 1999
- EXTERNAL GRANT OR CONTRACTTOPOLOGY IN ALGEBRAIC GEOMETRYNATL SCIENCE FNDN8 Jan 1993 - 31 Dec 1996