Klaus Hulek

Klaus Hulek (born 19 August 1952 in Bad Hindelang) is a German mathematician, known for his work in algebraic geometry and in particular, his work on moduli spaces..[1]

Life

Klaus Hulek studied Mathematics from 1971 at Ludwig Maximilian University of Munich graduating in 1976 with his Diplom.[2] In 1974/75 he studied at Brasenose College of the University of Oxford, where he obtained a master's degree.[3]

As a student he was a member of the Stiftung Maximilianeum and of the German Academic Scholarship Foundation.[1][4][5]

He obtained his doctorate under the supervision of Wolf Barth at the University of Erlangen–Nuremberg in 1979. His thesis was "Stable rank 2 vector bundles on with odd first Chern class".[6] In 1982/83 he held a post-doctorate position at Brown University and after that he returned to Erlangen as a research scientist, where he completed his habilitation in 1984, gaining the title Privatdozent.[7]

From 1985, Hulek was a professor at the University of Bayreuth, and in 1990 he moved to Leibniz University Hannover, where he was also vice-president for research from 2005 to January 2015.[8]

In 2015 Hulek was member of the Institute of Advanced Study (IAS) in Princeton, USA He was vice-president of the German Mathematical Society (DMV) from January 2019 to May 2020.[1]

Hulek is an editor of the journal Mathematische Nachrichten.[1] Since 2016 he has been editor in chief of zbMATH (formerly Zentralblatt für Mathematik).[9] Hulek was vice president of the German Mathematical Society (DMV) from January 2019 to May 2020.[10]

During his career Hulek has been a member of numerous boards and committees. From 1991 to 1993 he was a member of the Struktur- und Berufungskommission of Humboldt Universität zu Berlin (HUB) which had been set up to restructure mathematics at HUB after German unification.

From 2007 to 2014 he was the representative of the German Rectors’ Council (HRK) at the Research Policy Working Group at the European University Association and from 2009 to 2014[11] a member of the Committee on European Research Policy of HRK. From 2016 to 2023 Hulek was a member of the Committee for Developing Countries of the European Mathematical Society.[12] 

Since 2011, Hulek has been a member of the Foundation Board of the Oberwolfach Foundation, which supports the Mathematisches Forschungsinstitut Oberwolfach (MFO).[13] He is currently a member and deputy chair of the University Council of the Hochschule für Musik, Theater und Medien Hannover (Hanover University of Music, Drama and Media, HMTMH) (since 2024), and a member of the Scientific Advisory Board of EMS Press (since 2025).[14] He was editor-in-chief of zbMATH from 2016 to 2023 , during which period zbMATH became the open access service zbMATH Open.[15]  

His students include Andreas Gathmann and Matthias Schütt . 

Research    

Hulek is a German mathematician, specializing in algebraic geometry, with a particular focus on moduli spaces.[3] He originally worked on vector bundles, moving on to moduli spaces of abelian varieties, Enriques surfaces and K3 surfaces.[16] His work contributed to our understanding of the geometry and topology of moduli spaces and their compactifications.[17]

His earlier results include his work with Barth on monads and moduli of vector bundles and on the Horrocks-Mumford bundle. Together with V.Gritsenko and G.K.Sankaran they proved that all but finitely many moduli spaces of polarized K3 surfaces are of general type.[18]

Hulek has also obtained results on moduli of hyperkähler manifolds and, more recently, on moduli of cubic hypersurfaces, ball quotients and Deligne-Mostow varieties. These results shed light on the interplay between Hodge theory and GIT moduli spaces.[19] His work on the arithmetic of Calabi-Yau varieties, partly with H.Verrill, contributed to number theory and was also taken up in string theory.[20]

Selected publications

References

  1. ^ a b c d "Prof. Dr. Klaus Hulek – Institut für Algebraische Geometrie". Leibniz Universität Hannover (in German). Retrieved 18 December 2025.
  2. ^ "Professor Klaus Hulek is new editor-in-chief of zbMATH | FIZ Karlsruhe". www.fiz-karlsruhe.de. Retrieved 18 December 2025.
  3. ^ a b "Klaus Hulek | Scholars | Institute for Advanced Study". www.ias.edu. 9 December 2019. Retrieved 18 December 2025.
  4. ^ "Home | Studienstiftung des deutschen Volkes". www.studienstiftung.de. Retrieved 16 March 2026.
  5. ^ "Stiftung Maximilianeum". Maximilianeum Home (in German). Retrieved 16 March 2026.
  6. ^ Klaus Hulek at the Mathematics Genealogy Project
  7. ^ ""Find Out What Interests You, Follow That Goal." A Conversation with Klaus Hulek – SCGP". scgp.stonybrook.edu. Retrieved 18 December 2025.
  8. ^ "Prof. Dr. Hulek joined the Scientific Advisory Board of EMS Press". Leibniz Universität Hannover. 2 October 2025. Retrieved 18 December 2025.
  9. ^ "Klaus Hulek is new editor-in-chief of zbMATH | Springer Nature Group | Springer Nature". group.springernature.com. Retrieved 3 February 2026.
  10. ^ "EMU Department of Mathematics Academic Staff Member Assoc. Prof. Dr. Arran Fernandez Participated in Heidelberg Laureate Forum, An Event for Which Only 200 Young Researchers Are Selected | Announcements". Eastern Mediterranean University Cyprus. 18 October 2023. Retrieved 3 February 2026.
  11. ^ Hulek, Klaus; Teschke, Olaf (13 September 2022). "The transition of zbMATH towards an open information platform for mathematics (II): A two-year progress report". EMS Magazine (125): 44–47. doi:10.4171/mag/91.
  12. ^ "EMU Department of Mathematics Academic Staff Member An Event for Which Only 200 Young Researchers Are Selected". Eastern Mediterranean University. 18 October 2023.
  13. ^ "Foundation Board — Friends of Oberwolfach". www.friends-of-oberwolfach.org. Retrieved 3 February 2026.
  14. ^ Hochschule für Musik, Theater und Medien Hannover. "Hochschule für Musik, Theater und Medien Hannover: Welcome to Hanover University of Music, Drama and Media". www.hmtm-hannover.de. Archived from the original on 14 February 2026. Retrieved 16 March 2026.
  15. ^ "Essen Seminar: Prof. Dr. Klaus Hulek (Hannover)". www.esaga.uni-due.de. Retrieved 3 February 2026.
  16. ^ Abramovich, Dan; Caporaso, Lucia; Farkas, Gavril; Kebekus, Stefan (2 November 2013). "Moduli Spaces in Algebraic Geometry". Oberwolfach Reports. 10 (1): 343–392. doi:10.4171/owr/2013/06. ISSN 1660-8933.
  17. ^ Hulek, Klaus; Tommasi, Orsola (15 May 2018). "The topology of Ag and its compactifications". arXiv:1712.03771 [math.AG].
  18. ^ Gritsenko, Valery; Hulek, Klaus; Sankaran, G. K. (27 September 2006). "The Hirzebruch-Mumford volume for the orthogonal group and applications". arXiv:math/0512595.
  19. ^ Hulek, Klaus; Laza, Radu; Saccà, Giulia (5 November 2019). "The Euler number of hyper-Kähler manifolds of OG10 type". arXiv:1902.00781 [math.AG].
  20. ^ Hulek, Klaus; Verrill, Helena (6 January 2005). "On modularity of rigid and nonrigid Calabi-Yau varieties associated to the root lattice A4". arXiv:math/0304169.
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