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Vita

For a downloadable version of my Resumé (in PDF format) click here. For the Spanish version, click here. Use the menu on the right to navigate through.

Curriculum Vitae

Last updated: November 11, 2024.

Education


Employment


Main Research Interests


Awards


Publications

For a complete list of publications click here.


Invited Addresses

  1. 6th Workshop on Nonlinear Dispersive Equations. Instituto de Matemática y Estadística, University of São Paulo, Brazil. November 6, 2024.
  2. Seminar of the Institute of Engineering, UNAM. Mexico City, October 17, 2024. Link to the conference's video: here.
  3. Mathematical Trends in Operator Theory, PDE and Mathematical Physics, IIMAS-UNAM, Mexico City. July 23, 2024.
  4. Seminar on Analysis, Differential Equations and Mathematical Physics. Regional Mathematical Center of the Southern Federal University, Rostov-on-Don, Russian Federation. June 27, 2024. Link to the conference's video: here.
  5. Workshop on Applied Mathematics (online). University of Nottingham, Ningbo Campus, China. November 27, 2023.
  6. Programa de conferencias "Hablando de Matemáticas", Instituto de Matemáticas, UNAM. September 28, 2023. Link to conference's video: here.
  7. Dynamics Days Europe 2023. Università degli Studi di Napoli Federico II. Naples, Italy. September 7, 2023.
  8. Annual Meeting of the Society of Industrial and Applied Mathematics, Mexico Section (MexSIAM), 2023. Instituto Tecnológico Autónomo de México, Mexico City. June 9, 2023.
  9. I Seminar on Mathematics and Physics. Escuela Superior de Matemáticas No. 2, Universidad Autónoma de Guerrero. February 23, 2023.
  10. V Workshop on Nonlinear Dispersive Equations (V WNDE). Federal University of Minas Gerais, Belo Horizonte, Brazil. November 8-11, 2022.
  11. VI Latin American Congress of Mathematics (CLAM VI). Special session: Nonlinear Evolution Equations and their Dynamics. Montevideo, Uruguay. September 13-17, 2021.
  12. International Workshop "New Trends in Nonlinear Diffusion: A bridge between PDEs, Analysis and Geometry (Online) (21w5127)". Casa Matemática Oaxaca. Oaxaca, México. September 9, 2021. Link to conference's video: here.
  13. Colloquium of the Mexican Mathematucal Society. (on line). Ciudad de Mexico, Mexico, June 10th, 2021. Transmitted live on YouTube@smm_oficial.
  14. III Summer School (online), Universidade Estaduale de Maringá, Brasil. March 29, 2021.
  15. XII Americas Conference on Differential Equations and Nonlinear Analysis. CIMAT, Guanajuato, Mexico. December 9 - 13, 2019.
  16.  IV Workshop on Nonlinear Dispersive Equations. Universidad Federal de Rio De Janeiro, Brasil. November 5 - 8, 2019.
  17. Plenary speaker. "Stability of Nonlinear Waves: Analysis and Applications: A conference in honor of the 60th birthday of Kevin Zumbrun". Institute Henri Poincaré, Paris, France. July 1 - 5, 2019.
  18. "Mathematical Challenges in the Analysis of Continuum Models for Cancer Growth, Evolution and Therapy (18w5115)". Casa Matemática Oaxaca. Oaxaca, Mexico. November 25 - 30, 2018.
  19. Taller Nacional en Biología y Probabilidad. Centro de Ciencias Genómicas, UNAM, Campus Morelos. November 8 - 9, 2018.
  20. L Congreso de la Sociedad Matemática Mexicana. Universidad Autónoma Juárez del Estado de
    Tabasco, México. Sesión de Ecuaciones Diferenciales. October 20 - 24, 2018.
  21. Simposio de Computación. Sesión de Cómputo Científico y Cómputo Cuántico. IIMAS, UNAM. September 20 - 21, 2018.
  22. SIMAI 2018: Congress of the Italian Society of Applied and Industrial Mathematics (SIMAI). ``La Sapienza", Universitá di Roma. July 5, 2018.
  23. Plenary speaker, V Encuentro SUMEM (Seminario Universitario para la Mejora de la Educación Matemática en la UNAM). Facultad de Ciencias, UNAM. June 15, 2018.
  24. International Workshop "Applied Analysis of Operators, PDEs and Functionals". Bath-UNAM-CIMAT Meeting (BUC). Parque Científico Tecnológico, Mérida, Yucatán. April 5-8, 2017.
  25. The Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory. Georgia Center for Continuing Education, University of Georgia, Athens, Georgia. March 29 - April 1, 2017.
  26. Dynamics Days Latin America and the Caribbean. Benemérita Universidad Autónoma de Puebla. Puebla, México. October 24 - November 1, 2016.
  27. The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications. Orlando, Florida. July 1 -5, 2016.
  28. Mathematical Biology: A Multidisciplinary Endeavour. Cultural Center, UNAM, Campus Juriquilla, Querétaro, Mexico. January 11-14, 2016.
  29. International Meeting in Mathematical Biology. Universidad Nacional de Colombia, Sede Medellín. November 3 to 5, 2015.
  30. Second Workshop on Nonlinear Dispersive Equations: Celebrating the 70th Anniversary of M. Scialom. IMECC, University of Campinas, Brazil. October 6 to 9, 2015.
  31. First Joint International Meeting of the Israel Mathematical Union and the Mexican Mathematical Society. Instituto Tecnológico de Oaxaca, Oaxaca, Mexico. September 7 to 11, 2015
  32. Invited mini-course: "Asymptotic Methods in Mathematical Biology". School of Mathematical Methods in Biology EMMBIO 2015: From molecules to populations. Center of Mathematical Sciences, UNAM (Morelia Campus). July 27 thru August 1st., 2015.
  33. International Workshop on Differential Equations: Asymptotics, Operators, Geometry and Applications. Institute of Engeneering, UNAM, November 24-26, 2014.
  34. XLVII Meeting of the Mexican Mathematical Society. Universidad Juárez del Estado de Durango, October 26 - 31, 2014.
  35. III Joint Meeting: Mexican Mathematical Society and Royal Spanish Mathematical Society. Universidad Autónoma de Zacatecas, Mexico. September 1-4, 2014.
  36. IV Latin American Mathematics Conference: CLAM 2012. Universidad Nacional de Córdoba, Argentina. August 6-10, 2012.
  37. SIAM Conference on Nonlinear Waves and Coherent Structures (NW12). University of Washington, Seattle. June 13-16, 2012.
  38. IX Americas Conference on Differential Equations. Trujillo, Perú, January 9-14, 2012.
  39. Workshop on Mathematical Physics: Asymptotics and Applications. S. Dobrokhotov's 60th anniversary. Facultad de Ingeniería, UNAM, Mexico. November 28 - 30, 2010.
  40. SIAM Conference on Nonlinear Waves and Coherent Structures (NW10). Philadelphia, PA, August 16-19, 2010.
  41. VIII Americas Conference on Differential Equations. Veracruz, México, October 15-23, 2009.
  42. I Joint Meeting: Mexican Mathematical Society and Royal Spanish Mathematical Society. Oaxaca, Mexico, July 22-24, 2009.
  43. VII Joint Meeting AMS-SMM. Zacatecas, Mexico. May 2007.
  44. Workshop on Analysis and Numerics of Free Boundary Value Problems. Martin-Luther Universität, Halle, Germany, February 10-14, 2006.

Talks (in Congresses, Seminars and Colloquia)

  1. Analysis Seminar. Institute of Mathematics, UNAM, Cuernavaca Campus. April 26, 2024.
  2. Analysis Seminar. Dipartimento di Ingegneria e Scienze dell'Informazione e
    Matematica, Università degli Studi dell'Aquila, Italia. September 13, 2023.
  3. Applied Mathematics Colloquium. IIMAS-UNAM. April 13, 2023.
  4. Nonlinear PDE Seminar. Institute of Mathematics, UNAM. October 20, 2022.
  5. Annual Meeting of the Society of Industrial and Applied Mathematics, Mexico Section (MexSIAM), 2022. Universidad Autónoma de Coahuila. Saltillo, Coahuila, México. Junio 7 - 9, 2022.
  6. Mathematics Seminar. Instituto Tecnológico Autónomo de México (ITAM), México. October 15, 2021.
  7. Dispersive Partial Differential Equations Seminar (online). Universidad Federal de Rio de Janeiro and IMPA, Brasil. November 25, 2020.
  8. Operator Theory Analysis and Mathematical Physics 2020. IIMAS, UNAM, Mexico. January 8 - 14, 2020.
  9. Nonlinear PDE Seminar. Institute of Mathematics, UNAM. May 22, 2019.
  10. Probability and Stochastic Processes Seminar. Institute of Mathematics, UNAM. August 29, 2018.
  11. Applied Mathematics and Biomathematics Seminar. Institute of Mathematics, UNAM, Juriquilla Campus. Junio 8, 2018.
  12. Analysis Seminar. Institute of Mathematics, UNAM, Cuernavaca Campus. April 26, 2018.
  13. Nonlinear PDE Seminar. Institute of Mathematics, UNAM. March 6, 2018.
  14. Seminario di Analisi. Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universitá degli Studi dell'Aquila, Italia. November 29, 2017.
  15. Theoretical Biology Seminar. Departament of Mathematics, School of Sciences, UNAM. October 5, 2017.
  16. Seminario di Analisi. Dipartimento di Matematica, Universitá di Roma, 'La Sapienza', Italia. July 18, 2017.
  17. Tlahuilcalli Colloquium, Universidad Autónoma Metropolitana, Azcapotzalco. June 27, 2017.
  18. "Jesús Reyes Corona'' Seminar, Physics Institute, Benemérita Universidad Autónoma de
    Puebla. May 26, 2017.
  19. Mathematics Colloquium. Institute of Mathematics, UNAM. May 17, 2016.
  20. Mathematics Seminar. Institute of Mathematics, UNAM, Juriquilla Campus. December 7, 2015.
  21. Nonlinear PDE Seminar. Institute of Mathematics, UNAM. December 3, 2015.
  22. Mathematics Colloquium. Center of Mathematicas Sciences (Morelia), UNAM. May 29, 2015
  23. Mathematics Colloquium. Institute of Mathematics (Cuernavaca Unit), UNAM. March 4, 2015.
  24. X Americas Conference on Differential Equations and Nonlinear Analysis. University of Buenos Aires, Argentina. February 9 to 20, 2015.
  25. Mathematics Seminar. Instituto Tecnológico Autónomo de México (ITAM), México. January 23, 2015.
  26. XV International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP2014). IMPA, Rio de Janeiro, Brazil. July 28 - August 1, 2014.
  27. "DiferenciHable" Seminar. School of Sciences, UNAM, Mexico. 13 de marzo, 2014.
  28. Applied Mathematics Seminar, Department of Information Engineering, Computer Science and Mathematics, University of L'Aquila, Italy. November 27, 2013.
  29. Seminar on Differential Equations and Geometry. Department of Mathematics, Universidad Autónoma Metropolitana, Campus Iztapalapa. May 30, 2013.
  30. IX Conference in Analysis and Mathematical Physics. Hidalgo State University. Pachuca, Hidalgo, January 14-16, 2013.
  31. XIV International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP2012). University of Padova, Italy. June 25-29, 2012.
  32. Applied Mathematics Seminar. Department of Mathematics, Texas A&M University. April 2, 2012.
  33. Mathematics Colloquium. Institute of Mathematics, UNAM. February 21, 2012.
  34. Applied Mathematics Seminar. Dipartimento di Matematica Pura ed Applicata, Universitá degli Studi dell'Aquila, Italia. November 2, 2011.
  35. Applied Mathematics Seminar. Universidad Complutense de Madrid, Spain. April 13, 2010.
  36. Applied Mathematics Colloquium. IIMAS-UNAM. March 3, 2010.
  37. Applied Mathematics Colloquium. IIMAS-UNAM. February 24, 2010.
  38. Oberseminar. Max-Planck Institute for Mathematics in the Sciences and Mathematics Institute, University of Leipzig, Germany. November 19, 2009.
  39. Seminar on Differential Equations. Institute of Mathematics, UNAM. September, 10, 2009.
  40. Physics Department Seminar. School of Sciences, UNAM. May 16, 2009.
  41. Workshop of Interdisciplinary Research. School of Medicine, UNAM. February, 18, 2009.
  42. Mathematics Seminar. Instituto Tecnológico Autónomo de México (ITAM), México. August, 2008.
  43. XII International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP2008). Center for Scientific Computation and Mathematical Modeling (CSCAMM) and Department of Mathematics, University of Maryland. College Park, Maryland. June 9-13, 2008.
  44. Partial Differential Equations Seminar. Indiana University, Bloomington, Indiana, May 2008.
  45. Applied Mathematics Colloquium. IIMAS-UNAM. November, 2007.
  46. Partial Differential Equations Seminar. Indiana University, Bloomington, Indiana, April 2007.
  47. XI International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP2006). École Normale Supérieure Lyon, France. July 17-21, 2006.
  48. Mikrostrukturen Seminar. Max-Planck Institute for Mathematics in the Sciences, Leipzig, Germany. January, 2006.
  49. Analysis Seminar. Mathematics Institute, University of Leipzig, Germany. October, 2004.
  50. Applied Mathematics Colloquium. IIMAS-UNAM. September, 2004.
  51. Mikrostrukturen Seminar. Max-Planck Institute for Mathematics in the Sciences, Leipzig, Germany. January, 2004.

Teaching Experience

  1. Mathematical Biology I. School of Sciences, UNAM. 2024-2 term.
  2. Sobolev Spaces and Elliptic Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2024-2 Term.
  3. Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2024-1 Term.
  4. Stochastic Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2023-1 Term.
  5. Hyperbolic Systems of Conservation Laws. Graduate Program in Mathematical Sciences, UNAM. 2022-2 Term.
  6. Ordinary Differential Equations I. School of Sciences, UNAM. 2022-2 Term.
  7. Semigroups and Partial Differential Equations of Evolution. Graduate Program in Mathematical Sciences, UNAM. 2022-1 Term.
  8. Ordinary Differential Equations (with A. Capella). Graduate Program in Mathematical Sciences, UNAM. 2022-1 Term.
  9. Sobolev Spaces and Elliptic Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2021-2 Term.
  10. Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2021-1 Term.
  11. Nonlinear Hyperbolic Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2020-2 term.
  12. Functional Analysis Methods in Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2020-1 term.
  13. Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2019-2 Term.
  14. Linear Algebra I. School of Sciences, UNAM. 2019-1 term.
  15. Mathematical Biology I. School of Sciences, UNAM. 2019-1 term.
  16. Invited mini-course: "Evans function methods in the stability analysis of periodic wavetrains". Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universitá degli Studi
    dell'Aquila, Italia. November 24 - 28, 2017.
  17. Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2017-2 Term.
  18. Hilbert Space Methods in Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2017-1 Term.
  19. Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2016-2 Term.
  20. Invited mini-course: "Introduction to initial boundary-value hyperbolic problems". I Escuela de Análisis Matemático. Facultad de Ciencias, Universidad de Colima, México. September 26 - 30, 2016.
  21. Hyperbolic Systems of Conservation Laws. Graduate Program in Mathematical Sciences, UNAM. 2015-2 Term.
  22. Invited mini-course: "Spectral stability of periodic wavetrains". Instituto de Matemática y Estadística, Universidad de Sao Paulo, Brasil. Auditorio Antonio Gilioli, Bloco A. October 13 - 16, 2015.
  23. Partial Differential Equations II. School of Sciences, UNAM. 2015-1 Term.
  24. Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2015-I Term.
  25. Partial Differential Equations I. School of Sciences, UNAM. 2014-2 term.
  26. Hyperbolic Systems of Conservation Laws. Graduate Program in Mathematical Sciences, UNAM. 2014-1 Term.
  27. Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2013-2 Term.
  28. Applied Partial Differential Equations. Erasmus Mundus M. Sc. Programme in Mathematical Modelling and Engineering (MathMods). University of L'Aquila, Italy. Fall Term, 2012.
  29. Partial Differential Equations I. School of Sciences, UNAM. 2012-2 Term.
  30. Ordinary Differential Equations I. School of Sciences, UNAM. 2012-1 Term.
  31. Introduction to Hyperbolic Systems of Conservation Laws. Graduate Program in Mathematical Sciences, UNAM. 2011-2 Term.
  32. Partial Differential Equations I. School of Sciences, UNAM. 2010-2 Term.
  33. Hyperbolic Systems of Conservation Laws. Graduate Program in Mathematical Sciences, UNAM. 2010-1 Term.
  34. Ordinary Differential Equations I. School of Sciences, UNAM. 2009-2 Term.
  35. Partial Differential Equations II. School of Sciences, UNAM. 2008-2 Term.
  36. Complex Analysis (with H. Freistühler) (in English). University of Leipzig, Germany. Summer Term, 2006.
  37. Conservation Laws Seminar (with H. Freistühler) (in English). University of Leipzig, Germany. Spring Term, 2006.
  38. Differential and Integral Calculus II (with A. Schüler) (in English). University Leipzig, Germany. Fall Term, 2005.
  39. Ordinary Differential Equations for Physicists (with W. König) (in English). University of Leipzig, Germany. Spring Term, 2005.
  40. Discrete Mathematics. New York University. Summer Term, 2003.
  41. Discrete Mathematics. Fordham University, New York. Fall Term, 2002.
  42. Financial Calculus. Fordham University, New York. Fall Term, 2002.
  43. Differential and Integral Calculus. New York University. Spring Term, 2001
  44. Business Calculus. New York University. Spring Term, 2000.

Mentorship

Ph.D. Supervision

M.Sc. Supervision

B.Sc. Supervision


Professional Associations

I am member of the following societies:


Services

Boletín de la Sociedad
          Matemática MexicanaSpringer
          Nature Excellence Award 2019 Acta Applicandae MathematicaeSpringer
          Nature Excellence Award 2019

Other