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.
Jan. 2018: I will speak in the Algebra Seminar at the University of Glasgow.
Jan. 31 2018: I will organise fourth meeting for Applied Algebra and Geometry in the UK, here, at the School of Mathematical Sciences, Nottingham, UK.
April 2018: I will speak at the Workshop on Symmetry and Computation at CIRM, in Luminy, France.
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 next East Midlands Seminars in Geometry which will be held at Loughborough University.
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
April 2017: I organised the Algebra Workshop, with a computational and applied flavour, at the British Mathematical Colloquium 2017 (BMC 2017) , Durham, UK
February 2017: Inaugural meeting for Applied Algebra and Geometry in the UK, here, at the School of Mathematical Sciences, Nottingham, 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, 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.