Personlig profil
Kort præsentation
I am the head of the Applied Algebra research group at the Department of Mathematical Sciences. Our research focuses on problems in applied algebraic geometry, and specifically in the study of positive solutions to parametric systems of polynomial equations. Our motivation arises from the mathematical study of interaction networks, mainly on understanding their properties at equilibrium.
I hold a PhD in Mathematics (2007), from the Universitat de Barcelona, in the area of Arakelov Geometry/Algebraic K-theory. Furthermore, I hold a Master in Bioinformatics (2008) from the Universitat de Barcelona and the Universitat Pompeu Fabra. I have been working in my current research area since 2010.
Undervisnings- og vejledningsområder
I teach primarily the following two courses:
- Mathematics for Biologists, for first year bachelor students in Biology.
- Applied Algebra and Geometry, for master students in Mathematics.
Interesseområder
Applied algebra, real algebraic geometry, positivity, mathematical biology, reaction networks
Sprogkundskaber
Danish and English (fluent)
Spanish and Catalan (native)
Uddannelse (Akademiske kvalifikationer)
Kandidat i Bioinformatik, Pompeu Fabra University
Dimissionsdato: 1 jul. 2008
PhD i Matematik, University of Barcelona
Dimissionsdato: 29 nov. 2007
Emneord
- Det Natur- og Biovidenskabelige Fakultet
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From chemical reaction networks to algebraic and polyhedral geometry -- and back again
Feliu, E. & Shiu, A., 2025, arXiv preprint, 36 s.Publikation: Working paper › Preprint
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Generic consistency and nondegeneracy of vertically parametrized systems
Feliu, E., Henriksson, O. & Pascual-Escudero, B., 2025, I: Journal of Algebra. 677, s. 630-666 37 s.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review
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The generic geometry of steady state varieties
Feliu, E., Henriksson, O. & Pascual-Escudero, B., 2025, arXiv preprint, 24 s.Publikation: Working paper › Preprint
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Generic consistency and nondegeneracy of vertically parametrized systems
Feliu, E., Henriksson, O. & Pascual-Escudero, B., 2024, arXiv preprint, 25 s.Publikation: Working paper › Preprint
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Network reduction and absence of Hopf Bifurcations in dual phosphorylation networks with three Intermediates
Feliu, E. & Kaihnsa, N., 2024, arxiv.org, 21 s.Publikation: Working paper › Preprint
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Toricity of vertically parametrized systems with applications to reaction network theory
Feliu, E. & Henriksson, O., 2024, arXiv preprint, 28 s.Publikation: Working paper › Preprint
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Dynamics of co-substrate pools can constrain and regulate metabolic fluxes
West, R., Delattre, H., Noor, E., Feliu, E. & Soyer, O., 2023, I: eLife. 12, s. 1-55 e84379.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review
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Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks
Feliu, E., Kaihnsa, N., Wolff, T. D. & Yürük, O., 30 sep. 2023, I: SIAM Journal on Applied Dynamical Systems. 22, 3, s. 2024-2053Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review
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