Download my curriculum vitae here.

Research interests

• Lie Theory, algebraic groups & restricted Lie algebras,
• representation theory,
• non-commutative algebra and division rings.

Publications and preprints

1. Algebraic families of subfields in division rings (with G. Vernik), J. Algebra 339 (2011), no. 1, 172–180. Published version, arXiv.
2. Weyl groups for non-classical restricted Lie algebras, and the Chevalley restriction theorem (with R. Farnsteiner and B. Shu). arXiv.
3. Generators of simple Lie algebras II, Forum Math. 22 (2010), 525–538. Published version, arXiv.
4. Generators of simple Lie algebras in arbitrary characteristic, Math. Z. 262 (2009), 715–741. Published version on springerlink.com, arXiv.
5. Gelfand-Kirillov conjecture in positive characteristics, J. Algebra 305 (2006), no. 2, 820–844. Published version, preprint.
6. Corps enveloppants des algèbres de type Witt, J. Algebra 269 (2003), no. 2, 669–700. Published version.

Further texts

1. Informal notes: Coherent sheaves on a variety, available here.
2. Background notes for a seminar presentation: Growth rates, Dimensions, Cohomology, and Varieties, all in 4 pages. Download here.
3. Isomorphisme des corps enveloppants des algèbres de type Witt, complement to the above Corps enveloppants paper. Download pdf [fr].
4. PhD thesis: Corps enveloppants des algèbres de Lie en dimension infinie et en caractéristique positive, Reims 2004, pdf [fr].

Organisation of seminars, meetings and events

• Small Seminar Selected topics in algebra and representation theory, April 2010 – July 2010, Kiel (with R. Farnsteiner).
• Seminar Representation theory and algebraic Lie theory, since October 2009, Kiel (with R. Farnsteiner and D. Pucinskaite).
• 13th NWDR Workshop, June 2009, Kiel (with R. Farnsteiner).
• Reading course Borcherds-Kac-Moody algebras, Autumn 2008, Bielefeld (with P. Lamprou).
• Workshop ADE-Chains, October 2008, Bielefeld (with A. Holtmann and CM. Ringel).

Related activities

• I am responsible for the homepage of the BHK Seminar, joint venue between Bremen-Hamburg-Kiel. Feel free to send me comments, remarks or questions!

Recent talks

What follows is a list of invited talks; my contributions to the local Representation Theory seminar can be found its homepage.

• 09. 2011, East China Normal University (Shanghai): On the Gelfand-Kirillov conjecture.
• 04. 2011, Algebra Day in Caen: Familles algébriques de sous-corps commutatifs maximaux dans les corps gauches.
• 03. 2011, Darstellungstheorie Schwerpunkttagung, Münster: Restricted Lie algebras, and the Chevalley restriction theorem.
• 02. 2011, BHK Seminar in Hamburg: Geometry and combinatorics of module categories.

Advanced mini-lectures

• Spring 2011: Introduction to finite W-algebras (graduate level).
  • Nilpotent orbits in reductive Lie algebras.
  • Three definitions of finite W-algebras.
  • Good Z-gradings in type A.
  • The Skryabin equivalence.
  • Higher-level Schur duality.

Summer term 2012

• Tutorial in Linear algebra II, Bachelor.

Winter term 2011/2012

• Tutorial in Linear algebra I, Bachelor.

Summer term 2009

• Tutorials in Linear algebra II, Bachelor.
• Tutorials in Representation theory, Master.
• Seminar on Schur algebras, Master. The notes of my talk can be found here.
• Mercator Seminar. Informal lectures: restricted Lie algebras and Weyl groups.

Potentially useful stuff

• The fd list, a list of conferences in representation theory and related topics.
• Look for papers with MathSciNet or Zentrablblatt.
• Rejecta mathematica, a proper journal publishing papers which have been rejected from peer-reviewed journals, along with an open letter from the author.
• A comprehensive index of mathematical journals.
• Online scientific encyclopedias: Wolfram Mathworld or Springer online, as well as Sloane's Integer Sequences repository.
• Computations, unit conversions, graphs and more, with the Computational Knowledge Engine Wolfram Alpha.
• Dictionaries: Chambers 21st Century, urban dictionary, wordreference english / french, Leo english / german.

The lighter side

• Jim Propp's Self-Referential Aptitude Test.
• Webcomics: xkcd, PhD comics, abstruse goose, indexed.
• Entertaining Maths on El Jj's blog Choux romanesco, vache qui rit et intégrales curvilignes [fr].
• The hitchhiker's guide to the galaxy, specifically its math section.
• Journal d'un avocat [fr], judiciary and legal snapshots (under the French legal system, obviously).
• Bad science, Ben Goldacre's ongoing battle against dodgy scientific claims made by scaremongering journalists and quackery.
• Mothart, photographs by Marta Bevacqua.