Dr. Emilie Dufresne

Since September 2010, I hold a postdoctoral fellowship from the Fonds québécois de recherche sur la nature et les technologies (Fqrnt) at the Mathematics Institute of the University of Basel. Since October 2011, I am also funded bu the SNF. I work in the research group Algebra und Geometrie under the supervision of Prof. Dr. Hanspeter Kraft. Previously, I was a MATCH postdoctoral fellow. I worked in the Algorithmic Algebra research group of Prof. Dr. B.H. Matzat. I did my Ph.D. in the Department of Mathematics and Statistics at Queen's University in Kingston, Ontario, Canada. My supervisor was David Wehlau.

Research interests:

My research interests fall within invariant theory. I am particularly interested in separating invariants, but also increasingly in invariants of the additive group, in all characteristic.

Publications:

(with Martin Kohls) A finite separating set for Daigle and Freudenburg's counterexample to Hilbert's fourteenth problem, Comm. Algebra (2010), 38(11) (2010) 3987-3992, also on the arxiv

(with Andreas Maurischat) On the finite generation of additive group invariants in positive characteristic, J. Algebra 324 (8) (2010) 1952-1963, also on the arxiv

(with Jonathan Elmer and Martin Kohls) The Cohen-Macaulay Property of Separating Invariants of Finite Groups, Transform. Groups 14 (4) (2009), also on the arxiv

Separating Invariants and Finite Reflection Groups, Adv. Math. 221 (6) (2009) 1979-1989, also on the arxiv

Preprints:

(with Martin Kohls) The separating variety for the basic representations of the additive group , submitted, 2012, also on the arxiv

Finite separating sets and quasi-affine quotients , submitted, 2011, also on the arxiv

Activities:

Every Friday, during the semester, I attend the Seminar Algebra und Geometrie and its traditional picnic.

April 2012: I will be speaking in a workshop on Algebraic Transformation Groups which will be part of the British Mathematical Colloquium held this year in Canterbury.

May 2012: I will talk in the workshop Modular Algebras: Representations, Invariants, Lie Theory.

Winter 2013: I will be a postdoc at the Mathematical Sciences Research Institute for the second half of the Special Year on Commutative Algebra.

Teaching:

Fall 2011 (H2011): I held exercise sessions for Kommutative Algebra I on Wednesdays 14:00-16:00 in the Grosse Hörsaal of the Institute

Spring 2011 (F2011): I held exercise sessions for Topologie on Wednesdays, 10:00-12:00 in room 105 of Kollegienhaus.

Fall 2010 (H2010): I held exercise sessions for Lineare Algebra I on Mondays, 10:00-12:00.

C.V.:

(in English)