Dr Emilie Dufresne

Research Interests

Commutative algebra and its interactions with algebraic geometry; invariant theory; separating invariants; applications of invariant theory and commutative algebra; structural and practical identifiability of mathematical models, in particular 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.

PhD Students

Danny Hendron (2023-), co-supervised with Michael Bate

Simon Hart (2020- 2025), co-supervised with Michael Bate

Publications

(with Ela Celikbas, Louiza Fouli, Elisa Gorla, Kuei-Nuan Lin, Claudia Polini and Irena Swanson) Rees algebras of sparse determinantal ideals,Transactions of the AMS, Vol 377, Issue 04 2024, also on the arxiv

(list of authors: Lewis Marsh, Emilie Dufresne, Helen Byrne, and Heather Harrington), Algebra, Geometry and Topology of ERK Kinetics. Bulletin of Mathematical Biology, 84, 2022, also on the arxiv

(with Heather Harrington, Panos Kevrekidis and Paolo Tripoli) On Some Configurations of Oppositely Charged Trapped Vortices in the Plane , Adv. in Appl. Math. 124 (2021) also on the arxiv.

(secondary author, full list of authors: Eyan Yeung , Sarah McFann , Lewis Marsh , Emilie Dufresne, Sarah Filippi , Heather Harrington, Stanislav Y. Shvartsman, Martin Wühr ) Inference of Multisite Phosphorylation Rate Constants and their Modulation via Pathogenic Mutations, Current Biology Vol. 30 2020

(with Parker Edwards , Heather Harrington, and Jonathan Hauenstein ) Sampling real algebraic varieties for topological data analysis , In 18th IEEE International Conference on Machine Learning and Applications : ICMLA 2019. IEEE. 2020, extended version on the arxiv.

(with Heather Harrington and Dhruva Raman ) The Geometry of Sloppiness , Journal of Algebraic Statistics (Now Algebraic Statitstics), 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.

Bio

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.