Arend Bayer
University of Connecticut, Department of Mathematics
Room 206
Office phone: (860) 486-4237
I am Assistant Professor (tenure track) at the University of Connecticut since Fall 2009. A CV.
Teaching
In Fall Sememster 2009, I am teaching Multivariable Calculus (2110Q) and Probability (3160). More information on the course will be posted soon.Research interests
Algebraic Geometry motivated by string theory:
- Stability conditions in triangulated categories, Wall-Crossing, Donaldson-Thomas invariants.
- (Stacky) Gromov-Witten invariants.
Publications and preprints
Polynomial Bridgeland stability conditions and the large volume limit. arXiv:0712.1083. Geometry & Topology 13 (2009) 2389-2425.
joint with Charles Cadman: Quantum Cohomology of [C^N/mu_r]. arXiv:0705.2160.
joint with Yuri I. Manin: Stability conditions, wall-crossing and weighted Gromov-Witten invariants. arXiv:math.AG/0607580. To appear in Moscow Math. Journal.
Semisimple quantum cohomology and blowups. Int. Math. Res. Not. 2004, no. 40, 2069--2083. math.AG/0403260.
Joint with Yuri I. Manin: (Semi)simple Exercises in Quantum Cohomology. The Fano Conference, 143--173, Univ. Torino, Turin, 2004. math.AG/0103164
Theses
My PhD thesis on "Semisimple Quantum Cohomology, deformations of stability conditions and the derived category", written under supervision of Yuri I. Manin.
My diploma thesis on "Semisimple Frobenius Manifolds and Quantum Cohomology", also supervised by Yuri I. Manin.
My essay (for the exams of "Part III" in Cambridge) on "Mirror Symmetry for the Elliptic Curve", written under supervision by Alessio Corti.
Miscellanea
Algebraic Geometry Northeastern Series (AGNES) is a new series of algebraic geometry workshops in the Northeast. The first workshop is in Stony Brook on the Halloween weekend.