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