Lecturer in Algebra

Department of Mathematics

University of York

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.*

(with Heather Harrington and Dhruva Raman ) The Geometry of Sloppiness , * Journal of Algebraic Statistics *, * 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 Jack Jeffries ) Separating invariants and local
cohomology, * Adv. Math. * 270 (2015) 565-581, * 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.*

Finite separating sets and
quasi-affine quotients , * J. Pure Appl. Algebra.* 217 (2) (2013)
247-253, * 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.*

(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.*

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.