Projects and distinctions
| 2019, Prix Scientifique Les espoirs de l'Université
de Strasbourg.
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| 2021, Member of the ANR project COSYDY.
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Positions and Education
2017: Habilitation à diriger des recherches at
Université de Strasbourg, France.
Thesis: Topological aspects of flows on 3 dimensions. pdf
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| 2016 - 2018: Investigador en el Instituto de Matemáticas
de la UNAM.
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| 2011 - 2016, 2018 -: Maître de conférences au Département de
mathématiques de l'Université de Strasbourg
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| 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. |
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.
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Publications and Preprints
click here.
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Future invitations
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Seminars and conferences where I gave a talk in the past 5 years
| 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). |
| Variations of the Kuperberg plug with positive topological
entropy, Seminar on symplectic and contact geometry, Ruhr
Universitat Bochum, Germany (November 2017). |
| Flujos sin órbitas periódicas y sus
vecindades, Congreso Nacional de la Sociedad Matemática
Mexicana, Mexico city, Mexico (October 2017). |
| Variations of the Kuperberg plug with positive topological entropy, Pacific Rim Mathematical Association, third congress,
Oaxaca, Mexico (July 2017). |
| The trunkenness of a flow, Mathematical Congress
of the Americas, Montreal, Canada (July 2017). |
| Variations of the Kuperberg plug with positive topological
entropy, Mathematical Congress of the Americas, Montreal,
Canada (July 2017). |
| El tronco de un campo vectorial, IIMAS, UNAM,
Mexico city, Mexico (May 2017). |
| Asymptotic invariants for flows on 3-manifolds,
Congreso de inauguración UMI - Laboratorio Solomon Lefschetz,
Instituto de Matemáticas, UNAM, Cuernavaca (April 2017). |
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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).
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| El flujo geodésico y los flujos horocíclicos del plano hiperbólico,
EMALCA, Guadalajara, Mexico (December 2017).
Files:
first day,
second day, third day, fourth day.
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| 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.
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| 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).
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| Novikov's theorem for foliation of the three sphere,
Taller de Invierno de Geometría y Dinámica, Oaxaca,
Mexico (January 2013).
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| 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). |
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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.
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| Cuarta Reunión de Matemáticos Mexicanos
en el Mundo, CMO, Oaxaca, Mexico, June 2018.
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| Segundo Encuentro Nacional de Jóvenes
Investigadores en Matemáticas, Instituto de
Matemáticas, UNAM, Mexico city, Mexico, February 2018.
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| Escuela
de invierno en grupos y dinámica en México, Instituto de Matemáticas, UNAM,
Mexico city, Mexico, January 15 to 18, 2018.
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| Workshop: Groups of
dynamical origin, Instituto de Matemáticas, UNAM,
Mexico city, Mexico, February 27 to March 3 2017.
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| Tercera Reunión de Matemáticos Mexicanos
en el Mundo, CIMAT, Guanajuato, Mexico, August 15 to 19 2016.
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| Géométries en action, une conférence en
l'honneur d'Étienne Ghys, ENS Lyon, France, June 29 to
July 3 2015.
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| Groupes, Géométrie et Systèmes
dynamiques : une journée mathématique en l'honneur de
Michel Coornaert, Strasbourg, France, February 27 2015. |
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Postdocs
| Robert Cardona Aguilar, LABEX IRMIA postdoc position. Starting November 2021.
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Students
| Aliènor Baret, L'histoire du cinquième
axiome d'Euclide et la naissance de la géometrie hyperbolique et
sphèrique. Mémoire de M2 Capes. 2012 |
| Hatice Cioban, Generating functions of
Lagrangian submanifolds and their application. Mémoire
de M2 Recherche Mathématiques Fondamentales. 2014 |
| Raphael Levy, Fonctions génératrices et rigidité des
lagrangiennes. Mémoire de M2 Recherche Mathématiques Fondamentales. 2014 |
| Alice Adam, Le fer à cheval de Smale.
Mémoire de M2 Agrégation. 2014 |
| Darío Alatorre Guzmán, Espacios de
teselaciones y el toro irracional. Doctorado. UNAM
2017. |
| Irving Daniel Calderón Camacho, Órbitas periódicas en
flujos casigeodésicos. Tesina de maestría. UNAM
2017. |
| Inti Cruz Diaz, Una aplicación de la teoria de corrientes a los sistemas dinámicos. Tesina de maestría. UNAM
2018. |
| Luis Felipe López Reyes, Una mirada a la
física a través de la geometría de contacto y
la geometría simpléctica. Tesis de maestría. UNAM
2018. |
| Marianne Rydzek; Thèse en cours. |
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