CV

Ana Rechtman


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Projects and distinctions

2019, Prix Scientifique Les espoirs de l'Université de Strasbourg.
2021 - 2025 Member of the ANR project COSYDY.
2023 - 2028, Member of the IUF.
2024 - 2029 Member of the ANR project AnoDyn.

Positions and Education

2023 -: Professeure à l'Institut Fourier, Universitè Grenoble Alpes.
2016 - 2018: Investigador en el Instituto de Matemáticas de la UNAM.
2011 - 2016, 2018 - 2023: Maître de conférences au Département de mathématiques de l'Université de Strasbourg
2010 - 2011: Boas Assistant Professor at the Mathematics Department of Northwestern University.
2010: Postdoc funded by CONACyT at University of Illinois at Chicago, with Steven Hurder.
2017: Habilitation à diriger des recherches at Université de Strasbourg, France.
Thesis: Topological aspects of flows on 3 dimensions. pdf
2005 - 2009: Ph.D studies at École Normale Supérieure de Lyon, France.
Thesis: Use and disuse of plugs in foliations. pdf
Supervisor: Étienne Ghys.
2004 - 2005: Master studies at Université Lyon 1, France.
Master thesis: Seifert's conjecture for volume preserving flows. pdf
Supervisor: Étienne Ghys.
2000 - 2004: Undergraduate studies at Universidad Nacional Autónoma de México (UNAM)
Undergraduate thesis: Holomorphic dynamical systems: Anosov flows and actions of the complex affine group.
Supervisor: Alberto Verjovsky.

Publications and Preprints

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Future invitations

  • 1923 - 2023 Centenaire de René Thom, IHES, France (September 2023).
  • Women in Geometry 3, BIRS Workshop, Banff, Canada (September 2023).
  • Congreso Nacional de la SMM San Luis Potosí, Mexico (October 2023).
  • Colloquium talk at Instituto de Matemáticas, UNAM, Mexico city, (October 2023).
  • Rencontre de la fédération Auvergne-Rhône-Alpes ENS - Lyon, France (November 2023).
  • Seminar talk in Paris 13, France (November 2023).
  • Séminaire virtuel francophone groupes et géométrie, France (November 2023).
  • Symplectic dynamics in Montevideo, Uruguay (February 2024).
  • Seminars and conferences where I gave a talk in the past 5 years

  • Dynamische Systeme, Oberwolfach workshop (July 2023).
  • From smooth to C0 symplectic geometry: topological aspects and dynamical implications, CIRM, Marseille, France (July 2023).
  • Symplectic dynamics, Rome (May 2023).
  • Seminars talk in Montpellier (December 2022).
  • Geometry and Topology, celebrating Paul Schweitzer's 85th birthday, Rio de Janeiro, Brasil (October 2022).
  • Convexity in contact and symplectic topology, a celebration of Emmanuel Giroux's 60th birthday, Institut Henry Poincaré Paris, France (July 2022).
  • Weak KAM theory - XXV years later, Université d'Avignon (May 2022).
  • Colloquio Instituto de Matemáticas, Oaxaca, Mexico, online talk (April 2022).
  • Seminar talk at Grenoble, France (March 2022).
  • Seminar talk at Institut Mathématique de Jussieu, Paris, France (March 2022).
  • Seminar talk at Angers, France (March 2022).
  • Hybrid MATRIX workshop in Regensburg, Germany (February 2022).
  • Journées de dynamique de l'Institut Mathématique de Jussieu, Paris, France (September 2021).
  • Hyperbolic and Symplectic dynamics, Ruhr Universität Bochum, Germany (September 2021).
  • Master students seminar, Cuernavaca, Mexico, online talk (June 2021).
  • Dynamics seminar, Barcelona, online talk (Mai 2021).
  • Conference Advances is Symplectic topology, Institut Henry Poincaré, online talk (Mai 2021).
  • Geometry, Dynamics and Mechanics Seminar, Padova, Italy, online talk (March 2021).
  • Meeting ANR GROMEOV, online talk (October 2020).
  • Dynamics seminar at Paris 7, online talk (June 2020).
  • Symplectix seminar, online talk (April 2020).
  • The minimal set of Kuperberg's flow, On the Trail of Women in Mathematics, in Honor of Sofia Kowalewska, Krakow, Poland (August 2019).
  • El conjunto minimal de los flujos de K. Kuperberg, Seminar Universidad de Santiago de Chile, Chile (June 2019).
  • L'ensemblre minimal des flots de K. Kuperberg, Seminar Université de Nantes, France (June 2019).
  • L'ensembe minimal des flots de K. Kuperberg, Seminar Université de Cergy--Pontoise, France (March 2019).
  • Le tronc d'un champ de vecteurs, Seminar Aix-Marseille Universté, France (February 2019).
  • Variations of the Kuperberg plug with positive topological entropy, Geometry Day, Heidelberg, Germany (November 2018).
  • The trunkenness of a flow, seminar at ICMAT, Madrid, Spain (November 2018).
  • The minimal set of a generic Kuperberg plug, VI Iberoamerican Meeting on Geometry, Mechanics and Control, CIMAT, Guanajuato, Mexico (August 2018).
  • Topología y entropía (lenta), Congreso Dinámica Nacional en memoria del Prof. Valentím Afraimovich, CIMAT, Guanajuato, Mexico (June 2018).
  • Determinismo y caos, Public lecture, Cuarta Reunión Matemáticos Mexicanos en el Mundo, Oaxaca, Mexico (June 2018).
  • Construcción de flujos sin órbitas periódicas, Colloquio CINVESTAV, Mexico city, Mexico May 2018).
  • Minicourses

  • Asymptotic invariants and section of 3D flows, Gesta School 2019, Madrid, Spain (December 2019).
  • Construcción de flujos sin órbitas periódicas utilizando trampas, Dinámica Potosina, San Luis Potosí, Mexico (July 2018).
  • El flujo geodésico y los flujos horocíclicos del plano hiperbólico, EMALCA, Guadalajara, Mexico (December 2017). Files: first day, second day, third day, fourth day.
  • Ejemplos de sistemas dinámicos caóticos: el atractor de Lorenz y la dinámica de la herradura de Smale, Congreso Sur-Sureste de Matemáticas: Geometría, Dinámica y Modelación, Villahermosa, Tabasco, Mexico (December 2015). Files: first day, second day, third day, fourth day.
  • Constructions of flows without periodic orbits in dimension 3, CIMPA-NIMS Research School on dynamical systems: Examples, billiards, and the 3-body problem, Daejeon, South Korea (May-June 2015).
  • Constructions of flows without periodic orbits in dimension 3, GESTA 2014, Madrid, Spain (June 2014).
  • Novikov's theorem for foliation of the three sphere, Taller de Invierno de Geometría y Dinámica, Oaxaca, Mexico (January 2013).
  • Kuperberg's example and the dynamics of the minimal set, Universidade de Sao Paulo, Sao Carlos, Brazil (February 2012).
  • Kuperberg's plug, Colima Workshop on Geometry, Facultad de Ciencias de la Universidad de Colima, México (October 2011).
  • Kuperberg's example and existence of periodic orbits on 3-dimensional manifolds, Instituto de Matemáticas (UNAM), Cuernavaca, México (January 2010).
  • Organisation of conferences (future and past)

  • Anosov dynamics, CIRM, Marseille, France, April 2023.
  • Paroles aux jeunes chercheur-es en géometrie et dynamique Nancy, November 2019.
  • Workshop: Groups of dynamical origin II, Instituto de Matemáticas, UNAM, Mexico city, Mexico, January 21 to 25, 2019.
  • Cuarta Reunión de Matemáticos Mexicanos en el Mundo, CMO, Oaxaca, Mexico, June 2018.
  • Segundo Encuentro Nacional de Jóvenes Investigadores en Matemáticas, Instituto de Matemáticas, UNAM, Mexico city, Mexico, February 2018.
  • Escuela de invierno en grupos y dinámica en México, Instituto de Matemáticas, UNAM, Mexico city, Mexico, January 15 to 18, 2018.
  • Workshop: Groups of dynamical origin, Instituto de Matemáticas, UNAM, Mexico city, Mexico, February 27 to March 3 2017.
  • Tercera Reunión de Matemáticos Mexicanos en el Mundo, CIMAT, Guanajuato, Mexico, August 15 to 19 2016.
  • Géométries en action, une conférence en l'honneur d'Étienne Ghys, ENS Lyon, France, June 29 to July 3 2015.
  • Groupes, Géométrie et Systèmes dynamiques : une journée mathématique en l'honneur de Michel Coornaert, Strasbourg, France, February 27 2015.
  • Postdocs

  • Robert Cardona Aguilar, LABEX IRMIA postdoc position. Starting November 2021.
  • Students

  • Darío Alatorre Guzmán, Espacios de teselaciones y el toro irracional. Doctorado. UNAM 2017.
  • Marianne Rydzek; Thèse en cours.