E-mail: Emilie.Dufresne (at) york.ac.uk
Commutative algebra and its interactions with algebraic geometry; invariant theory; separating invariants; applications of invariant theory and commutative algebra; structural identifiability and reparametrization of ODE models with time-series or steady-state data.
Visit the NEW website for the UK wide Applied Algebra and Geometry research community.
I now organize the Algebra seminar at the University of York. Please get in touch for more information.
Jan. 2019: I organised the seventh meeting for Applied Algebra and Geometry in the UK, here at the Deparment of Mathematics in York, UK.
Sept. 2018: I spoke in the 54th ARTIN meeting , York, UK.
June 2018: I spoke in the special session on "Algebraic Groups and related topics" of the Summer Meeting of the Canadian Mathematical Society , Frederiction, NB, Canada
April 2018: I spoke at the Workshop on Symmetry and Computation at CIRM, in Luminy, France.
March 2018: I spoke in the workshop Applied Algebra and Combinatorics , Swansea, UK.
(NEW!)(with Heather Harrington, Panos Kevrekidis and Paolo Tripoli) On Some Configurations of Oppositely Charged Trapped Vortices in the Plane , also on the arxiv.
(NEW VERSION!)(with Parker Edwards , Heather Harrington, and Jonathan Hauenstein ) Sampling real algebraic varieties for topological data analysis , also on the arxiv.
(secondary author, full list of authors: Luca Weihs , Bill Robinson, Emilie Dufresne, Jennifer Kenkel, Kaie Kubjas, Reginald L. McGee II, Nhan Nguyen, Elina Robeva, Mathias Drton) Determinantal Generalizations of Instrumental Variables, Journal of Causal Inference, also on the arxiv.
(with Jack Jeffries ) Mapping toric varieties into low dimensional spaces, accepted for publications in Transactions of the AMS , also on the arxiv.
(with Hanspeter Kraft ) Invariants and Separating Morphisms for Algebraic Group Actions, Math. Z. (2015) 280:231-255, also on the arxiv.
(with Jonathan Elmer and Müfit Sezer) Separating invariants for arbitrary linear actions of the additive group , Manuscripta Math. 143 (1-2) (2014) 207-219, also on the arxiv.
(with Martin Kohls) The separating variety for the basic representations of the additive group , J. Algebra, 377 (1) (2013) 269-280, also on the arxiv.
(with Martin Kohls) A finite separating set for Daigle and Freudenburg's counterexample to Hilbert's fourteenth problem, Comm. Algebra , 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.
Separating Invariants and Finite Reflection Groups, Adv. Math. 221 (6) (2009) 1979-1989, also on the arxiv.
In 2018-2019 I am teaching a third year module on Galois theory in the Autumn, and then a fourth year module on Algebraic groups in the Spring.
In the Michaelmas 2014 term, in Durham, I taught the second year module on Codes (this was the first term of both Codes and Actuarial Mathematics II and Codes and Geometric Topology II).
As of September 2018 I am a Lecturer in Algebra in the Department of Mathematics of the University of York. From January 2017 until August 2018, I was a Anne McLaren Fellow in the School of Mathematical Sciences at the University of Nottingham. From December 2015 to November 2016, I was a postdoctoral research assistant in the Algebraic Systems Biology group in the Mathematical Institute at the University of Oxford, working with Heather Harrington. I was visiting research fellow in Durham from October 2015 to September 2018, where I was also based geographically since September 2013. From February 2015 to January 2016 I was a LMS Grace Chisholm Young Fellow. Before coming to the UK, I was a research visitor in Heidelberg, Germany for the Summer of 2013. I spent the Spring of 2013 as a postdoc at the Mathematical Sciences Research Institute for the second half of the Special Year on Commutative Algebra. From September 2010 to December 2012 I was a postoctoral assistant at the Mathematics Institute of the University of Basel. For the first 2 years, I held a postdoctoral fellowship from the Fonds québécois de recherche sur la nature et les technologies (Fqrnt). I worked in the research group Algebra und Geometrie under the supervision of Prof. Dr. Hanspeter Kraft (now retired). Before that, I was a MATCH postdoctoral fellow. I worked in the Algorithmic Algebra research group of Prof. Dr. B.H. Matzat (now retired). 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.