Curriculum Vitae
Personal
Married, two children (9 and 4 years old). 
Education
2015  Habilitation, Bielefeld University, Germany. Thesis: Compactness of moduli spaces in some problems inspired by higher dimensional gauge theory. 
2006  PhD, GeorgAugust University of Goettingen, Germany. Thesis: Generalized SeibergWitten equations and hyperKaehler geometry. Supervisor Prof.Dr. Victor Pidstrygach. 
19972002  Fiveyear B.Sc/M.Sc integrated degree in Mathematics; National University of Lviv, Ukraine. Diploma with distinction. 
Employment
from 2017 
Freiburg University; PostDoc (supported by the Simons Collaboration on Special Holonomy). 
20092017 
Bielefeld University; Assistant Professor (Akademischer Rat a.Z.; fixedterm position). 
20062009  Bielefeld University; PostDoc (Wissenschaftlicher Mitarbeiter). 
Visiting positions
20192020  Stanford University; Visiting Researcher. 
20102012  Imperial College London; Visiting Researcher (supported by the DFG). 
Publications/Preprints
1.  A. Haydys. SeibergWitten monopoles and flat PSL(2;R)connections, arXiv:2001.07589 
2.  A. Haydys. Introduction to gauge theory, arXiv:1910.10436 
3.  A. Haydys and B. Xu. Special Kähler structures, cubic differentials and hyperbolic metrics, Selecta Math. 26, 37 (2020), arXiv:1807.08550. 
4.  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 
5.  M. Callies and A. Haydys. Affine special Kaehler structures in real dimension two, In Spectral Structures and Topological Methods in Mathematics, EMS Series of Congress Reports, pp. 221–233, Zürich: European Mathematical Society, 2019; arXiv:1710.05211 
6.  A. Haydys. G2 instantons and the SeibergWitten monopoles. In GromovWitten Theory, Gauge Theory and Dualities edited by P. Bouwknegt, B. Parker and B.L. Wang (to appear). arXiv:1703.06329. 
7.  A. Haydys. The infinitesimal multiplicities and orientations of the blowup set of the Seiberg–Witten equation with multiple spinors. Adv. Math. 343 (2019), 193–218; arXiv:1607.01763 
8.  A. Haydys. Isolated singularities of affine special Kaehler metrics in two dimensions. Commun. Math. Phys., 340(3):12311237, 2015; arXiv:1505.00462 
9.  A. Haydys, Th.Walpuski. A compactness theorem for the SeibergWitten equation with multiple spinors in dimension three. Geom. Funct. Anal. (GAFA), 25(6):17991821, 2015; arXiv:1406.5683 
10.  A. Haydys. Dirac operators in gauge theory, In New ideas in lowdimensional topology edited by L.Kauffman and V.Manturov, volume 56 of Ser. Knots Everything, pp. 161188. World Sci. Publ., Hackensack, NJ, 2015; arXiv:1303.2971 
11.  A. Haydys. FukayaSeidel category and gauge theory, J. Symplectic Geom. 13(1):151207, 2015. arXiv:1010.2353 
12.  A. Haydys. Gauge theory, calibrated geometry and harmonic spinors, J. Lond. Math. Soc. (2), 86(2):482498, 2012. arXiv:0902.3738 
13.  A. Haydys. HyperKahler and quaternionic Kahler manifolds with S^{1}symmetries. J. Geom. Phys. 58(2008), no. 3, 293306. arXiv: 0706.4473 
14.  A. Haydys. Nonlinear Dirac operator and quaternionic analysis. Comm. Math. Phys. 281(2008), 251261,arXiv:0706.0389 
Grants/Awards
since 2017  Principal Investigator; Research Training Group "Cohomological methods in Geometry''. 

20132017  Principal Investigator; Project "Algebraic and analytic aspects of holomorphic Lagrangian fibrations'' (together with S.Rollenske; CRC 701) funded by the DFG. PostDocs


20102012  Research Fellowship of the DFG; Research project "High and low dimensional gauge theory and exceptional geometry". Host Institution: Imperial College London. 

20072009  Reserch project "Gauge theory over low and high dimensional manifolds and exceptional geometry" supported by Bielefeld University. 

20022005  Scholarship of the research training group "Groups and Geometry", GeorgAugust University of Goettingen. 
Selected Recent Invited Talks
2020  Workshop “Geometry and Analysis of Moduli Spaces”, London, UK. 
2019  Minisymposium on Gauge Theory and Partial Differential Equations, La Quinta, USA. 
Berkeley Mathematical Physics Seminar, Berkeley, USA.  
Workshop “Geometric and analytic aspects of moduli spaces”, Hanover, Germany.  
Pure Math Colloquium, University of Waterloo, Canada.  
2018  Workshop on Special Metrics and Gauge Theory, Madrid, Spain. 
25th Goekova Geometry and Topology conference, Goekova, Turkey.  
Geometry and Physics Seminar, CalTech, USA.  
Workshop "Gauge Theory and Special Holonomy'', London, UK.  
2017  Workshop "The Analysis of GaugeTheoretic 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 BrusselsLondon 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 "GromovWitten theory, Gauge Theory and Dualities'', Kioloa, Australia.  
2015  Mathematics Colloquium, Bielefeld University, Germany. 
CUHK/UM Joint International Workshop in Geometry, Hong Kong, China.  
MiniWorkshop "Singularities in G2geometry'', Oberwolfach, Germany. 
Invited Lectures
2019  Introduction to gauge theory, 2019 PCMI summer school "Quantum Field Theory and Manifold Invariants'', Park City, USA (6 lectures). 
2018  Integrable systems and special Kaehler geometry, University of Science and Technology of China, Hefei, China (6 lectures). 