E-mail: Emilie.Dufresne (at) nottingham.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 website for the UK wide Applied Algebra and Geometry research community.
May 2018: I will speak in the Pure Mathematics Seminar , University of Leicester, UK.
June 2018: I will speak 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.
Jan. 2018: I spoke in the Algebra Seminar at the University of Glasgow, UK.
Jan. 31 2018: I organised the fourth meeting for Applied Algebra and Geometry in the UK, here, at the School of Mathematical Sciences, Nottingham, UK.
Nov. 2017: I spoke in the Algebra, Geometry and Topology Seminar at the University of Kent.
Oct. 2017: I spoke in the Leeds Algebra Seminar.
Oct. 2017: I spoke at the East Midlands Seminars in Geometry, Loughborough University, UK.
Sept. 2017: I co-organized the third meeting for Applied Algebra and Geometry in the UK, held at the Mathematical Institute in Oxford, UK.
July/Aug. 2017: I spoke in the mini-symposium on Symmetry and Structure in Algebraic Computations (SySAC) at the SIAM Conference on Applied Algebraic Geometry (AG17) in Atlanta, Georgia, USA
July 2017: I was on the organising committee of the SIAM Workshop on Parameter Space Dimension Reduction (DR17) which is colocated with the 2017 SIAM Anual meeting (AN17), where I will speak in the mini-symposium on Discrete Mathematical Biology, Pittsburgh, Pennsylvania, USA
June 2017: I spoke at the one-day meeting "Invariant Theory: Recent Progress and Applications" at the University of Middlesex, London, UK
June 2017: I spoke at the conference Algebraic Topology and Representation Theory (ATRT) in Lille, France
May 2017: I was be at the second meeting for Applied Algebra and Geometry in the UK, held at the University of Edinburgh, UK.
April 2017: I spoke at the 3C in G Workshop on Computational Algebra , King's College, Cambridge, UK
(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, to appear in 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 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 January 2017, I am Anne McLaren Fellow here, 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 remain a visiting fellow in Durham, where I was based since September 2013. As of February 2015 I am an LMS Grace Chisholm Young Fellow. 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. 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.