Arend Bayer

University of Utah, Department of Mathematics

Room JWB 330
Office phone: 581-6131

bayer@math.utah.edu

I am PostDoc ("Assistant Professor (Lecturer)") at the University of Utah since Fall 2006. A short CV.

Teaching

In the spring 2008, I am teaching two sections of Quantitative Analysis.

Research interests

Stability in triangulated categories and enumerative invariants. (Stacky) Gromov-Witten invariants and Frobenius manifolds.

See also my research statement.

Publications and preprints

Polynomial Bridgeland stability conditions and the large volume limit. arXiv:0712.1083.

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.

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

Die kleine AG "Algebraische Geometrie und Zahlentheorie"

Johan de Jong has started an initiative for open source web-based math development. Starting point is his homepage.

I am a co-maintainer of GNU Go.

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