CV
Education
2013-2018 PhD, Universidad Autónoma de Madrid, (Spain). Supervisors: Prof. Ana Barvo Zarza and Prof. Santiago Encinas Carrión
2011-2012 Master (M.S.), Universidad Autónoma de Madrid, (Spain), Mathematics and Applications. Supervisor: Prof. Adolfo Quirós Gracián
2010-2012 Master (M.S.), Universitat Wien, (Austria), Mathematics. Supervisor: Prof. Herwig Hauser
2005-2010 Licenciatura (B.S.), Universidad Autónoma de Madrid, (Spain), Mathematics.
2005-2010 Ingeniería Superior (Engineering B.S.), Universidad Autónoma de Madrid, (Spain), Computer Science.
Fellowships awarded and professional experience
2024- Universidad Politécnica de Madrid, Profesora Permanente Laboral
2023-2024 Universidad Politécnica de Madrid, Profesora Ayudante Doctora
2020-2023 Universidad Carlos III de Madrid, Profesora Ayudante Doctora
2020 Conference Grant from Carlsberg Foundation, for the organization of the Graduate Student Meeting on Applied Algebra and Combinatorics
2019-2021 University of Copenhagen (Dennmark), Marie Skłodowska-Curie IF, at MBIO team.
2018-2019 LS2N, Centrale Nantes (France), Postdoctoral researcher at ARMEN team.
2014-2018 Universidad Autónoma de Madrid, (Spain), Predoctoral researcher funded by the spanish Ministry of Economy and Competitiveness (FPI).
2013-2014 Universidad Autónoma de Madrid, Manager of graduate studies of the Mathematics department.
2013 Universidad Autónoma de Madrid, (Spain), Fellowship as a PhD student.
2011-2012 Universidad Autónoma de Madrid, (Spain), Assistant in the project EA2011-0023 for Studies and Analysis.
2010-2011 Universität Wien, (Austria), Fellowship as a Master student.
Talks
-Conferences-
Jan 2024 Bienal RSME (Pamplona). Minisymposium Álgebra Computacional y Aplicaciones. Title: 'Positive zeros of parametric polynomial families from Reaction Networks'.
Jul 2023 SIAM Conference on Applied Algebraic Geometry (AG23). Minisymposium: New Approaches to Analyzing Biological Interaction Networks. Title: 'Dimension of Steady State Varieties and Nondegenerate Equilibria'.
Aug 2022 28th Nordic Congress of Mathematicians. Minisymposium: Applied Algebra. Title: 'Dimension of steady state varieties and nondegenerate equilibria'.
Jan 2022 Bienal RSME (Ciudad Real). Minisymposium Geometría Algebraica: La aplicada, la computacional y la numérica. Title: 'Using Algebraic Geometry to detect robustness in Reaction Networks '.
Jan 2022 Bienal RSME (Ciudad Real). Minisymposium Combinatorics and Computation in Commutative Algebra. Title: 'Computational algebra to avoid robot singularities: the P4P problem'.
Jun 2021 Annual meeting of the Society for Mathematical Biology, Minisymposium on Advances in deterministic models of biochemical interaction networks. Title: 'Detecting concentration robustness in Reaction Networks'.
Oct 2020 3rd Annual Meeting of the SIAM Texas-Louisiana Section, Minisymposium on Algebraic geometric and combinatorial methods in mathematical biology. Title: 'Necessary Conditions For ACR In Reaction Networks'.
Jul 2019 SIAM Conference on Applied Algebraic Geometry (Bern). Title: 'Invariants of Singularities based on Arcs'.
Feb 2019 Bienal RSME (Santander). Minisymposium Red de Geometría Algebraica y Singularidades. Title: 'Espacios de arcos y Resolución Constructiva de Singularidades '.
Jan 2018 Seventh Iberoamerican Congress on Geometry (Valladolid), Minisymposium Topología de Singularidades y Espacios Complejos. Title: ‘Invariants of singularities via arcs and the Nash Multiplicity Sequence’
Nov 2017 Arcs and Singularities Day (Universidad Autónoma de Madrid). Title: ‘Las multiplicidades de Nash y su relación con invariantes de la resolución constructiva de singularidades’
Sep 2017 Journées MIAS – More Invariants from Arc Spaces (Université de Versailles-Saint-Quentin-en-Yvelynes, France). Title: ‘Invariants of Singularities via arcs and the Nash multiplicity sequence’
Sep 2017 Fourth Conference for Young Researchers of RSME (Universidad de Valencia, Spain), Minisymposium Aspectos Topológicos, Geométricos y Algebraicos de la Teoría de Singularidades. Title: ‘Invariants of Singularities via arcs and the Nash multiplicity sequence’
Sep 2016 X Workshop of young Researchers in Mathematics (Universidad Complutense de Madrid, Spain). Title: ‘Nash multiplicities for points of maximum multiplicity’
Apr 2016 Young Researchers on Singularities (Laboratoire Jean Alexandre Dieudonné– Université Nice Sophia Antipolis, France. Title: ‘Nash multiplicities and constructive Resolution of Singularities’
Sep 2015 Third Conference for Young Researchers of RSME (Universidad de Murcia, Spain), Minisymposium Geometría Algebraica y Singularidades. Title: ‘La sucesión de multiplicidades de Nash y su relación con invariantes de la resolución algorítmica’
Sep 2012 VI Workshop of young Researchers in Mathematics (Universidad Complutense de Madrid, Spain). Title: ‘Trivialization of analytic map germs for the resolution of singularities’
-Seminars-
Apr 2024 AMS Postdoc Seminar (Johns Hopkins University, MD). Title: 'Geometry of steady state varieties in Chemical Reaction Networks'.
Apr 2024 Seminario Antonio Giraldo y Sonia Sastre (UPM, Spain). Title: 'Geometría de la variedad de steady states en redes de reacciones'.
Feb 2024 Coloquium for students (UAM, Spain). Title: 'La Geometría Algebraica de las bacterias y los robots'.
Apr 2023 Seminario del departamento de Matemáticas e Informática (UPM, Spain). Title: 'Variedades Algebraicas en Redes de Reacciones Bioquímicas'.
Feb 2022 Internal Coloquium of the Math Department (UC3M, Spain). Title: 'Variedades Algebraicas en Redes de Reacciones Bioquímicas '.
Feb 2022 Iberoamerican Webminar of Young Researchers in Singularity Theory and related topics (UPM - Madrid, Spain). Title: 'Using Algebraic Geometry to detect robustness in Reaction Networks'.
Jun 2021 Commutative Algebra, Algebraic Geometry and Arithmetic Geometry seminar (UAM-ICMAT, Spain). Title: ‘Métodos algebraicos en redes de reacciones químicas: redes con concentraciones robustas'.
May 2021 Applied algebraic Topology Research Network seminar. Title 'Using Algebraic Geometry to detect robustness in Reaction Networks'.
Feb 2021 Applied Combinatorics, Algebra, Topology and Statistics (KTH Stockholm). Title 'Using Algebraic Geometry to detect robustness in Reaction Networks'.
Dec 2020 Seminar on the Mathematics of Reaction Networks. Title 'Necessary conditions for ACR in Reaction Networks'.
Apr 2020 Lunch Meeting - SPT (University of Copenhagen, Denmark). Title: 'Using Algebraic Geometry: Concentration Robustness in Reaction Networks'.
Jan 2020 Commutative Algebra, Algebraic Geometry and Arithmetic Geometry seminar (UAM-ICMAT, Spain). Title: ‘Algebraic Methods in Chemical Reaction Networks’
Feb 2019 Séminaire Singularités (Institut de Mathématiques - Aix Marseille Université). Title: ‘Singularity invariants based on arcs and the Nash multiplicity sequence’
Jun 2018 ARMEN Seminar (LS2N, Centrale Nantes). Title: ‘Singularities in Algebraic Varieties’
Feb 2018 Seminar on Nonlinear Algebra (MPI MIS Leipzig). Title: ‘Invariants of singularities: from Nash to Hironaka’
Jan 2018 Seminar on Algebraic Geometry (Universidad Complutense de Madrid). Title: 'Invariants of Singularities via the Nash Multiplicity Sequence'
Dec 2017 Algebra seminar (Universidad Autónoma de Madrid). Title: ‘Algorithmic resolution of singularities and Nash multiplicity sequences’
Nov 2017 Algebra seminar (The University of Oklahoma, OK). Title: ‘Invariants of singularities: from Nash to Hironaka’
Nov 2017 Algebra and Algebraic Geometry seminar (University of Washington, WA). Title: ‘Invariants of singularities via the Nash multiplicity sequence and their connection to Hironaka’s order function’
Nov 2017 Algebra and Algebraic Geometry pre-seminar (University of Washington, WA). Title: ‘Arc Spaces and The Nash Multiplicity sequence’
Nov 2017 Kolchin seminar in Differential Algebra (The City University of New York, NY). Title: ‘Invariants of singularities via the Nash multiplicity sequence and their connection to Hironaka’s order function’
Nov 2017 Algebraic Geometry seminar (Brown University, RI). Title: ‘Invariants of singularities via the Nash multiplicity sequence and their connection to Hironaka’s order function’
Nov 2017 Algebra seminar (University of Missouri, MO). Title: ‘Invariants of Singularities via Arcs and the Nash multiplicity sequence’
Jan 2016 Singularity seminar (Nihon University – University of Tokyo, Japan). Title: ‘Nash multiplicity sequence and constructive Resolution of Singularities’
Oct 2014 Commutative Algebra Seminar (University of Michigan, USA). Title: ‘The Nash multiplicity sequence’
Feb 2013 Junior Seminar (Universidad Autónoma de Madrid – Instituto de Ciencias Matemáticas, Spain). Title: ‘El problema de Resolución de Singularidades en variedades tóricas’
-Schools-
Feb-Mar 2024 CIMPA Research School on Algebra and Algebraic Geometry for Applications. Course: "Algebraic Geometry in Reaction Networks". LUMS Lahore - IBA Karachi, Pakistan.
Jun 2023 MSRI-MPI Leipzig Summer Graduate School on Algebraic Methods for Biochemical Reaction Networks. Participation as Teaching Assistant
Jul 2022 JAE School of Mathematics (Instituto de Ciencias Matemáticas, Spain). Talk: ‘Algebraic Varieties in Biology’
-Posters-
Jun 2019 MEGA 2019 (Universidad Complutense de Madrid, Spain). Title: ‘Singularities on the visual servoing of four image points: a study based on the hidden robot model’
Feb 2015 Young researchers in Singularity Theory, thematic moth on Artin Approximation and Singularity Theory 2015 (Centre International de Rencontres Mathématiques, Marseille). Title: ‘Rees algebras associated to arcs and Resolution of Singularities’
Research stays (longer than 1 week)
Feb 2018 MPI MIS Leipzig, Host: Prof. Bernd Sturmfels. Duration: 2 weeks
Jan-Mar 2016 University of Tokyo, Host: Prof. Shihoko Ishii. Duration: 10 weeks
Sep-Oct 2014 University of Michigan, Host: Prof. Karen E. Smith. Duration: 6 weeks
Organization of events
Jan 2024 Session "Geometría Algebraica entre Aplicaciones y Computación" at Bienal RSME. Pamplona.
Jul 2023 Session "Computational Real Algebraic Geometry" at the SIAM Conference on Applied Algebraic Geometry (AG23). Eindhoven.
Dec 2022 Session "Computación y Aplicaciones en Geometría Algebraica" at the II Enuentro Conjunto RSME-UMA. Ronda.
Aug 2022 Minisymposium "Algebraic methods in life sciences" at the European Women in Mathematics General Meeting 2022. Aalto.
Aug 2021 Minisymposium "Algebraic-geometric methods in reaction networks" at SIAM Conference on Applied Algebraic Geometry (AG21).
Apr 2020 Graduate Student Meeting on Applied Algebra and Combinatorics. University of Copenhagen
Jan 2020 Session "Commutative Algebra and Applications" in the V Conference for Young Researchers of the Royal Spanish Mathematical Society. Castellón.
Outreach
Mar 2021 Colegio Los Nogales - Semana Cultural de Secundaria. Talk: "Qué hace una matemática y por qué he estado en todas partes".
Feb 2018 IES Manuel Elkin Patarroyo. Talk: 'Investigación en Geometría Algebraica. ¿Qué hago y por qué?' Activity for the International Day of Women and Girls in Science.
Nov 2016 Universidad Autónoma de Madrid. Organization of the workshop ‘Mathematical games II’ in the XVI Week of Science for High School students
Nov 2015 Universidad Autónoma de Madrid. Organization of the workshop ‘Bubbles and minimal surfaces’ in the XV Week of Science for High School students
Nov 2014 Universidad Autónoma de Madrid. Organization of the workshop ‘Bubbles and minimal surfaces’ in the XIV Week of Science for High School students
Nov 2013 Universidad Autónoma de Madrid. Organization of the workshop ‘Mathematical games’ in the XIII Week of Science for High School students