Klaus Altmann (mathematician)

Klaus Altmann (* 1957 in Berlin ) is a German mathematician who deals with algebraic geometry .

Altmann attended the Heinrich-Hertz-Gymnasium in Berlin as a pupil until 1975 , where he won bronze at the International Mathematical Olympiad in 1974 and silver in 1975, and studied mathematics at the Humboldt University of Berlin , where he received his diploma in 1982 and in 1986 with Gerhard Pfister PhD (equisingular deformations of isolated hyperfacial singularities in the ). He worked at Cornell University , Humboldt University ( Habilitation 1995, Deformations of affine torus varieties) and the Technical University of Kaiserslautern . Since 2002 he has been a professor at the Free University of Berlin , where he heads the Algebraic Geometry group. ${\ displaystyle \ mathbb {C} ^ {3}}$

His research deals, among other things, with the deformation of singularities on toric varieties .

Fonts

Deformations of affine torus varieties. In: Contributions to algebra and geometry. Volume 34, No. 1, 1993, pp. 119-150
Minkowski sums and homogeneous deformations of toric singularities. In: Tohoku Math. J. Volume 47, 1995, pp. 151-184
Infinitesimal deformations and obstructions for toric singularities. In: J. Pure Appl. Algebra. Volume 119, 1997, pp. 211-235
The versal deformation of an isolated, toric Gorenstein singularity. In: Inventiones Mathematicae. Volume 128, 1997, pp. 443-479
with Jürgen Hausen: Polyhedral divisors and algebraic torus Actions. In: Math. Ann. Volume 334, 2006, No. 3, S: 557-607, Arxiv
P-resolutions of cyclic quotients from the toric viewpoint. In: Progress in Mathematics. Volume 162: Singularities - The Brieskorn Anniversary Volume. Birkhäuser Verlag, 1998, pp. 241-250
One-parameter families containing three-dimensional toric Gorenstein singularities. In: Alessio Corti, Miles Reid: Explicit Birational Geometry of 3-Folds. London Mathematical Society Lecture Note Series, Volume 281, Cambridge University Press, 2000, pp. 21-50
with Jan Stevens: Cotangent cohomology of rational surface singularities. In: Invent. math. Volume 138, 1999, pp. 163-181
with Nathan Ilten, Lars Petersen, Hendrik Suess, Robert Vollmert: The geometry of T-varieties. In: Piotr Pragacz: Contributions to Algebraic Geometry. Impanga Lecture Notes, EMS 2012, pp. 17–69

↑ Holger Dambeck: Professor about Peter Scholze as a student: "I've never seen someone like this" . In: Spiegel Online . August 1, 2018 ( spiegel.de [accessed January 14, 2019]).
^ Heinrich Hertz Gymnasium
↑ Klaus Altmann in the Mathematics Genealogy Project (English) , correct title of the dissertation from his homepage