Arend Bayer

University of Edinburgh, School of Mathematics

Contact information etc.

arend.bayer@ed.ac.uk

I am Lecturer at University of Edinburgh since Fall 2012. A (probably slightly outdated) CV.

Research interests

Algebraic Geometry motivated by string theory:

Publications and preprints

Joint with Emanuele Macrì: MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations..arXiv:1301.6968.

Joint with Emanuele Macrì: Projectivity and birational geometry of Bridgeland moduli spaces.arXiv:1203.4613.

Joint with Aaron Bertram, Emanuele Macrì and Yukinobu Toda: Bridgeland Stability conditions on Threefolds II: An application to Fujita's conjecture. arXiv:1106.3430.

Joint with Emanuele Macrì and Yukinobu Toda: Bridgeland Stability conditions on Threefolds I: Bogomolov-Gieseker type inequalities. arXiv:1103.5010.

Joint with Emanuele Macrì: The space of stability conditions on the local projective plane. arXiv:0912.0043. Some related SAGE code. Duke Math. J. 160 (2011) no. 2, 263–322.

Polynomial Bridgeland stability conditions and the large volume limit. arXiv:0712.1083. Geometry & Topology 13 (2009), no. 4, 2389-2425.

Joint with Charles Cadman: Quantum Cohomology of [C^N/mu_r]. arXiv:0705.2160. Compos. Math. 146 (2010), no. 5, 1291–1322.

Joint with Yuri I. Manin: Stability conditions, wall-crossing and weighted Gromov-Witten invariants. arXiv:math.AG/0607580. Mosc. Math. J. 9 (2009), no. 1, 3-23.

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

Lecture notes

Here are brief lecture notes on Bridgeland stability conditions intended for graduate students interested in the topic.

Graduate students

Rebecca Tramel.

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.