# Andriy Haydys

Haydys' research interests include in particular:

- gauge theory and its applications;
- Riemannian manifolds with special holonomy groups and related geometries;
- geometric analysis.

A. Haydys. Topology of the blow-up set for the Seiberg-Witten equation with multiple spinors. arXiv:1607.01763 |

A. Haydys, Th.Walpuski. A compactness theorem for the Seiberg-Witten equation with multiple spinors in dimension three. Geom. Funct. Anal. (GAFA), 25(6):1799-1821, 2015; arXiv:1406.5683 |

A. Haydys. Gauge theory, calibrated geometry and harmonic spinors, J. Lond. Math. Soc. (2), 86(2):482-498, 2012. arXiv:0902.3738 |

Since a complete special Kähler metric is necessarily flat, a singular special Kähler metric is a relevant input for the c-map construction. Haydys' research in the framework of this project has been concerned so far with a description of isolated singularities of affine special Kähler structures.

M. Callies and A. Haydys. Local models of isolated singularities for affine special Kähler structures in dimension two, IMRN, DOI:10.1093/imrn/rny165, arXiv:1711.09118 |

M. Callies and A. Haydys. Affine special Kaehler structures in real dimension two, arXiv:1710.05211 |

A. Haydys. Isolated singularities of affine special Kaehler metrics in two dimensions. Commun. Math. Phys., 340(3):1231-1237, 2015; arXiv:1505.00462 |

- Topology of the blow up locus for the Seiberg-Witten equation, Stony Brook, USA, 2016.
- G2-instantons and the Seiberg-Witten monopoles (this is a shorter version of the two talks with the identical title below), Cambridge, UK, 2016.
- A compactness theorem for the Seiberg-Witten equations with multiple spinors, Stony Brook, USA, 2014.
- G2-instantons and the Seiberg-Witten monopoles I, Stony Brook, USA, 2014.
- G2-instantons and the Seiberg-Witten monopoles II, Stony Brook, USA, 2014.
- Fukaya-Seidel category and gauge theory, Banff, Canada, 2013.