Anne McLaren Fellow

School of Mathematical Sciences

University of Nottingham

University Park

Nottingham

NG7 2RD

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.

Oct. 2017: I spoke in the Statistics Seminars of both the university of Glasgow and Durham 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

NEW! (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 , * 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, *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 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 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.