Publications

  • Bertram, Aaron & Easton, Robert (2017). The tropical Nullstellensatz for Congruences. Advances in Mathematics. Vol. 308, 47. Published, 03/2017.
  • Bertram, Aaron, Marcus, Steffen & Wang, Jie (2016). The stability manifolds of the projective line(s). Contemporary Math. Vol. 647, 17. Published, 04/2016.
  • Bertram, Aaron (2015). Some remarks on surface moduli and determinants. Cambridge University Press. Vol. 417, 13-28. Published, 11/2015.
  • Bertram, Aaron, Martinez, Cristian & Wang, Jie (2014). The birational geometry of moduli spaces of sheaves on the projective plane. Geometrae Dedicata. Vol. 173, 37-64. Published, 12/2014.
  • Bayer, Arend, Bertram, Aaron, Macrì, Emanuele & Toda, Yukinobu (2014). Bridgeland stability conditions on threefolds II: An application to Fujita’s conjecture. American Mathematical Society (AMS). 1. Published, 11/2014.
  • Bertram, Aaron & Coskun, Izzet (2014). The birational geometry of the Hilbert scheme of points on surfaces. Simons Symposium, Springer. 15-55. Published, 01/2014.
  • Bertram, Aaron, Cavalieri, Renzo & Markwig, Hannah (2013). Polynomiality, wall crossings and tropical geometry of rational double Hurwitz cycles. Journal of Combinatorial Theory Series A. Vol. 120, 1604-1631. Published, 12/2013.
  • Bertram, Aaron, Huizenga, Jack, Arcara, Daniele & Coskun, Izzet (2013). The minimal model program for the Hilbert scheme of points on and Bridgeland stability. Advances in Mathematics. Vol. 235, 580-626. Published, 05/2013.
  • Bertram, Aaron & Arcara, Daniele (2013). Bridgeland-stable moduli spaces for K-trivial surfaces. Journal of the European Mathematical Society. Vol. 15, 1-38. Published, 04/2013.
  • Bertram, Aaron & Arcara, Daniele (2011). Reider's Theorem and Thaddeus pairs, revisited. Clay Mathematics Proceedings, American Mathematical Society. Vol. 14, 51-68. Published, 08/2011.
  • Bertram, A. (2009). Algebraic Geometry. Amer Mathematical Society. Published, 03/05/2009.
  • Bertram, A. (2009). Algebraic Geometry. Amer Mathematical Society. Published, 02/25/2009.
  • Bertram, A. (2009). Algebraic Geometry. Amer Mathematical Society. Published, 02/25/2009.
  • Kim, Bumsig, Bertram, Aaron & Ciocan-Fontanine, Ionut (2008). Gromov-Witten invariants for abelian and nonabelian quotients. American Mathematical Society (AMS). Vol. 17(2), 275-294. Published, 2008.
  • Bertram, Aaron, Todorov, Gueorgui & Cavalieri, Renzo (2008). Evaluating tautological classes using only Hurwitz numbers. American Mathematical Society (AMS). Vol. 360(11), 6103-6111. Published, 2008.
  • Bertram, Aaron (2006). Snowbird Lectures on String Geometry. Amer Mathematical Society. Published, 05/31/2006.
  • Ciocan-Fontanine, Ionu?, Kim, Bumsig & Bertram, Aaron (2005). Two proofs of a conjecture of Hori and Vafa. Duke University Press. Vol. 126(1), 101-136. Published, 2005.
  • Bertram, Aaron & Kley, Holger P. (2005). New recursions for genus-zero Gromov–Witten invariants. Elsevier BV. Vol. 44(1), 1-24. Published, 2005.

Research Groups

  • Aaron Bertram, Research Professor. Mathematics/Algebraic Geometry. 07/1993 - present.

Grants, Contracts & Research Gifts

  • Support and Mentoring in an Alternative Route to Teaching (SMART) (0934894). PI: Aaron J Bertram. National Science Foundation, 2009 - 07/31/2016. Total project budget to date: $1,590,680.00
  • Bridgeland Moduli of Derived Objects on Algebraic Surfaces (0901128). PI: Bertram, Aaron. National Science Foundation, 2009 - 07/31/2014. Total project budget to date: $222,862.00
  • EMSW21-VIGRE: Vertical Integration in Mathematics at the University of Utah (0602219). PI: Bertram, Aaron. National Science Foundation, 2006 - 07/31/2009. Total project budget to date: $2,073,040.00
  • Algebraic Geometry Inspired by Physics (0501000). PI: Bertram, Aaron. National Science Foundation, 2005 - 06/30/2008. Total project budget to date: $174,885.00
  • Questions Related to Curves on Complex Projective Manifolds (0200895). PI: Bertram, Aaron. National Science Foundation, 2002 - 06/30/2006. Total project budget to date: $218,470.00