Martin Schlichenmaier

In 1990 Schlichenmaier earned a doctoral degree.[1] in mathematics at the University of Mannheim with Rainer Weissauer with the thesis Verallgemeinerte Krichever - Novikov Algebren und deren Darstellungen.[2] His research topics are, beside other fields , the geometric foundations of quantisation, e.g. Berezin-Toeplitz-Quantisierung and infinite dimensional Lie algebras of geometric origin, like the algebras of Krichever- Novikov type. [3]

From 1986 until 2003 he worked at the University of Mannheim. In the year 1996 he habilitated with the thesis Zwei Anwendungen algebraisch-geometrischer Methoden in der theoretischen Physik: Berezin-Toeplitz-Quantisierung und globale Algebren der zweidimensionalen konformen Feldtheorie [4]

Since 2003 he has been professor at the University of Luxemburg,[5] recently as Emeritus . From 2005 until 2017 he was director of the Mathematical Research Unit, Department of Mathematics [6] at the University of Luxemburg. He is a member of the editorial boards of the mathematical journals Journal of Lie Theory,[7] and Analysis and Mathematical Physics[8]

He is president of the Luxembourgish Mathematical Society, SML.[9] He received the Grand Prix 2016 en sciences mathematiques de L'Institut Grand-Ducal -prix de la Bourse de Luxembourg.[10] 2019 he was appointed as full member of the Institut Grand-Ducal, Section des Sciences[11]

Books:

• Schlichenmaier, Martin (2014), Krichever-Novikov Type Algebras. Theory and Applications, Studies in Mathematics, vol. 53, Berlin/Boston: de Gruyter, doi:10.1515/9783110279641, ISBN 978-3-11-026517-0.

• Schlichenmaier, Martin (2007), An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces, 2nd enlarged edition, Theoretical and Mathematical Physics, Berlin/Heidelberg: Springer, doi:10.1007/978-3-540-71175-9, ISBN 978-3-540-71174-2.

Articles:

• Schlichenmaier, Martin (2003), "Local cocycles and central extensions for multi-point algebras of Krichever-Novikov type", J. reine angew. Math., 2003 (559): 53–94, arXiv:math/0112116, doi:10.1515/crll.2003.052, MR 1989644, S2CID 14518508.

• Karabegov, Alexander; Schlichenmaier, Martin (2001), "Identification of Berezin-Toeplitz deformation quantization" (PDF), J. reine angew. Math., 2001 (540): 49–76, doi:10.1515/crll.2001.086, MR 1868597, S2CID 9408910.

• Schlichenmaier, Martin; Sheinman, Oleg K. (2004), "Knizhnik-Zamolodchikov equations for positive genus and Krichever-Novikov algebras", Russ. Math. Surv., 59 (4): 737–770, Bibcode:2004RuMaS..59..737S, doi:10.1070/RM2004v059n04ABEH000760, MR 2106647, S2CID 250825111.

• Bordemann, Martin; Meinrenken, Eckhard; Schlichenmaier, Martin (1994), "Toeplitz quantization of Kähler manifolds and gl(N), N to infinity limits", Communications in Mathematical Physics, 165 (2): 281–296, arXiv:hep-th/9309134, doi:10.1007/BF02099772, MR 1301849, S2CID 117257261

• Martin Schlichenmaiers Homepage at the Universität Luxemburg
• Autoren-Profil Martin Schlichenmaier in the database zbMATH
• Martin Schlichenmaier at the Mathematics Genealogy Project