Curriculum Vitae

Personal

Married, two children (7 and 2 years old)

Education

2015 Habilitation, Bielefeld University, Germany
Thesis: Compactness of moduli spaces in some problems inspired by higher dimensional gauge theory
2006 PhD, Georg-August University of Goettingen, Germany
Thesis: Generalized Seiberg-Witten equations and hyperKaehler geometry
Supervisor Prof.Dr. Victor Pidstrygach
1997-2002 Five-year B.Sc/M.Sc integrated degree in Mathematics; National University of Lviv, Ukraine
Diploma with distinction

Employment

from 2017
Freiburg University
PostDoc
2009-2017
Bielefeld University
Assistant Professor (Akademischer Rat a.Z.)
2010-2012 Imperial College London
Visiting Researcher (supported by the DFG)
2006-2009 University of Bielefeld
PostDoc (Wissenschaftlicher Mitarbeiter)

Publications/Preprints

1. A. Haydys and B. Xu. Special Kähler structures, cubic differentials and hyperbolic metrics, arXiv:1807.08550
2. 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
3. M. Callies and A. Haydys. Affine special Kaehler structures in real dimension two, arXiv:1710.05211
4. A. Haydys. G2 instantons and the Seiberg-Witten monopoles. In Gromov-Witten Theory, Gauge Theory and Dualities edited by P. Bouwknegt, B. Parker and B.-L. Wang (to appear). arXiv:1703.06329.
5. A. Haydys. Topology of the blow-up set for the Seiberg-Witten equation with multiple spinors. arXiv:1607.01763
6. A. Haydys. Isolated singularities of affine special Kaehler metrics in two dimensions. Commun. Math. Phys., 340(3):1231-1237, 2015; arXiv:1505.00462
7. 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
8. A. Haydys. Dirac operators in gauge theory, In New ideas in low-dimensional topology edited by L.Kauffman and V.Manturov, volume 56 of Ser. Knots Everything, pp. 161-188. World Sci. Publ., Hackensack, NJ, 2015; arXiv:1303.2971
9. A. Haydys. Fukaya-Seidel category and gauge theory, J. Symplectic Geom. 13(1):151-207, 2015. arXiv:1010.2353
10. A. Haydys. Gauge theory, calibrated geometry and harmonic spinors, J. Lond. Math. Soc. (2), 86(2):482-498, 2012. arXiv:0902.3738
11. A. Haydys. HyperKahler and quaternionic Kahler manifolds with S1-symmetries. J. Geom. Phys. 58(2008), no. 3, 293-306. arXiv: 0706.4473
12. A. Haydys. Nonlinear Dirac operator and quaternionic analysis. Comm.  Math. Phys. 281(2008), 251-261,arXiv:0706.0389

Grants/Awards

2013-2017 Principal Investigator.
Project "Algebraic and analytic aspects of holomorphic Lagrangian fibrations'' (together with S.Rollenske; CRC 701) funded by the DFG

PostDocs
2016-2017 Dr. Martin Callies
2015 Dr. Ryouke Takahashi
2014-2015 Dr. Giovanni Bazzoni
2010-2012 Research Fellowship of the DFG.
Research project "High and low dimensional gauge theory and exceptional geometry"
Host Institution: Imperial College London
2007-2009 Reserch project
"Gauge theory over low and high dimensional manifolds and exceptional geometry" supported by University of Bielefeld
2002-2005 Scholarship of the research training group "Groups and Geometry", Georg-August University of Goettingen

Selected Recent Invited Talks

2017 Workshop "The Analysis of Gauge-Theoretic Moduli Spaces", Banff, Canada
Workshop on G2 Manifolds and Related Topics, Toronto, Canada
Mathematical Congress of the Americas, Special session on Gauge theory and special geometry, Montreal, Canada
Symposium in Geometry and Differential Equations, Beijing, China
Workshop "Gauge Theory and Categorification", UCLA, Los Angeles, USA
2016 9th Brussels-London geometry seminar "Gauge theory'', University College London, London, UK

Workshop "Recent Developments in the Mathematical Study of Gauge Theory'', Simons Center, Stony Brook, USA

Inaugural Conference of Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics, Simons Center, Stony Brook, USA

Workshop "General Relativity: from Geometry to Amplitudes'', Cambridge, UK

Conference "Gromov-Witten  theory,  Gauge  Theory  and  Dualities'', Kioloa, Australia
2015 Mathematics Colloquium, Bielefeld University, Germany

CUHK/UM Joint International Workshop in Geometry, Hong Kong, China

Mini-Workshop "Singularities in G2-geometry'', Oberwolfach, Germany