Roland Lötscher
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Mathematisches Institut Universität Basel Rheinsprung 24 CH-4051 Basel Switzerland |
Tel (+4161) 267 26 83 Fax (+4161) 267 26 95 Email: roland.loetscher@unibas.ch |
Activities
Giordano Favi and I have organized a symposium on Trends in Essential Dimension on December 17, 2009.
Go to the symposium website for details.
Teaching
- Current teaching: (HS09/10) Algebra, Dr. S.Vénéreau
- Past teaching: For a complete list of my teaching in Basel and Zurich click here!
Mathematical Interests
- Essential and covariant dimension of finite and algebraic groups
- Modular and integral representation theory
- Quadratic forms and modules
- Central simple algebras, Clifford algebras
List of Publications (from more to less recent)
- Essential p-Dimension of Algebraic Tori with M.MacDonald, A.Meyer and Z.Reichstein, submitted, preprint at Arxiv
- Application of Multihomogeneous Covariants to the Essential
Dimension of Finite Groups, accepted for publication in Transformation Groups. A preprint is available here.
For an extended version including representation theoretic results see Arxiv.
- Compression of Finite Group Actions and Covariant Dimension
II with H.Kraft and G.W.Schwarz
Journal of Algebra, Volume 322, Issue 1 July 2009, pages 94-107. See also Arxiv. - Quadratic and Symmetric Bilinear Compositions of Quadratic Forms
over Commutative Rings
Communications in Algebra, Volume 36, Issue 1 January 2008, pages 258 - 268 - A Generalized Composition of Quadratic Forms based on Quadratic
Pairs
2006, Arxiv - Eine Verallgemeinerung der Komposition von Quadratischen
Formen My diploma work (in German)
2006, Available here
Talks
- Essential dimension of algebraic tori,
AG Algebra, Basel, December 4, 2009 Abstract - Essentielle Dimension von Tori und verwandten algebraischen Gruppen,
LMU München, Oberseminar Motive und algebraische Topologie, October 22, 2009 - A multihomogenization technique for the study of essential dimension of algebraic groups,
Banff, Conference on Algebraic Groups and Related Structures, September 14, 2009 Abstract, Slides - Multihomogeneous covariants and the essential dimension of finite
groups,
EPFL Lausanne, Group theory seminar, November 6, 2008 Abstract, Slides - Multihomogeneous covariants and the essential dimension of finite
groups,
Université de Neuchâtel, Graduate Colloquium, Mai 18, 2008 Abstract, Slides - Small faithful representations and the essential dimensions of
finite groups
Université de Genève, Séminaire d'algèbre et géomètrie, April 8, 2008 Abstract, Slides (slightly corrected version) - What is a faithful group?
AG Algebra, Basel, October 19, 2007 Abstract, Slides - Composition of quadratic forms when 2 is NOT invertible
University of Basel, Graduate Colloquium, Mai 29, 2007 Abstract , Slides
Posters
- Multihomogenization: a new technique in essential
dimension
University of Fribourg, Graduate Colloquium, January 29-30, 2009 Poster (202 kb)

Prizes and Awards
- Birkhäuser Prize for the best Graduate Colloquium poster, Fribourg, 2009
- Birkhäuser Prize for the best Graduate Colloquium talk, Neuchâtel, 2008
- 1st prize at the "Schweizer Jugend forscht" contest, St. Gallen, 2002
qualifying for the "14th European Union Contest for Young Scientists", Vienna, 2002
Short CV
- April/May 2009: Research visit at the UBC with a grant of the FAG Basel.
- October 2006-present: Ph.D student under the supervision of Prof. Hanspeter Kraft, University of Basel
- April 2006-October 2006: Teaching assistant, ETH Zurich
- February 2004-June 2004: Semester abroad, Saint-Petersburg State University
- October 2001-March 2006: Study of Mathematics at ETH Zurich
- February 5, 1982 Born in Wolhusen (LU), Switzerland
23.10.2009
