Roland Lötscher

   

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
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• 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