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]
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]
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". [4] 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. [5]
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. [6]
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). [7] Hulek was vice president of the German Mathematical Society (DMV) from January 2019 to May 2020. [8]
During his career Hulek has been a member of numerous boards and committees. From 1991- 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 - 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 - 2014 [9] 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. [10]
Since 2011, Hulek has been a member of the Foundation Board of the Oberwolfach Foundation, which supports the Mathematisches Forschungsinstitut Oberwolfach (MFO). [11] 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). [12]
Hulek has been active as an editor. He was editor (2005 – 2012) and editor-in-chief (2012 – 2025) of the journal Mathematische Nachrichten. [13] He was editor-in-chief of zbMATH from 2016 to 2023 , during which period zbMATH became the open access service zbMATH Open. [14]
His students include Andreas Gathmann and Matthias Schütt .
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. [15] His work contributed to our understanding of the geometry and topology of moduli spaces and their compactifications. [16]
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. [17]
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. [18] 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. [19]