## Curriculum Vitae

### Education

- Ph.D. Courant Institute of Mathematical Sciences, New York University. Mathematics, September, 2003. Thesis:
*"On the stability of shock profiles".*Advisor: Prof. Jonathan B. Goodman. - M.Sc. Courant Institute of Mathematical Sciences, New York University. Mathematics, May, 1998.
- B.Sc. (summa cum laude) School of Sciences, National Autonomous University of México (UNAM). Mathematics, August, 1996.

### Employment

- Associate Professor of Applied Mathematics. Institute of Applied Mathematics and Systems (IIMAS), National Autonomous University of México (UNAM). March 2012 - present.
- Assistant Professor of Applied Mathematics. Institute of Applied Mathematics and Systems (IIMAS), National Autonomous University of México (UNAM). March 2007 - February 2012.
- Research Assistant. Mathematics Institute, University of Leipzig, Germany. September 2005 - February 2007.
- Research Associate. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany. September 2003 - August 2005.
- Adjunct Professor. Fordham University, New York. September 2002 - January 2003.
- Instructor. New York University, New York. September 2001 - June 2003.
- Systems Administrator. El Colegio de México, A.C. January 1995 - December 1995.

### Main Research Interests

- Stability of Shock Profiles
- Dynamics of Planar Phase Boundaries in Continuum Mechanics
- Mathematical Biology
- Nonlinear Wave Propagation
- Applied Analysis

### Awards

- ''Gabino Barreda'' Medal. UNAM, June, 1991.
- Summa cum laude in B.Sc. Studies. UNAM, August, 1996.
- Scholarship for Doctoral Studies, DGAPA-UNAM, 1996 - 2002.
- Doctoral Research Grant, Ministry of Education (SEP), México, 1997-2000.
- Member of the National Researcher's Network (SNI-CONACyT):
- Level II. Since 2015.
- Level I. 2008-2014.

- PRIDE program (UNAM), level C.

### Publications

For a complete list of publications click here

### Invited Addresses

- Mathematical Biology: A Multidisciplinary Endeavour. Cultural Center, UNAM, Campus Juriquilla, Querétaro, Mexico. January 11-14, 2016.
- International Meeting in Mathematical Biology. Universidad Nacional de Colombia, Sede Medellín. November 3 to 5, 2015.
- Invited course:
*"Spectral stability of periodic wavetrains"*. Institute of Mathematics and Statistics, University of Sao Paulo, Brazil. Auditotio Antonio Gilioli, Bloco A, October 13, 14 and 16, 2015.- Lecture 1: Preliminaries, Floquet-Bloch spectrum
- Lecture 2: Introduction to modulation theory
- Lecture 3: Evans function techniques

- Second Workshop on Nonlinear Dispersive Equations: Celebrating the 70th Anniversary of M. Scialom. IMECC, University of Campinas, Brazil. October 6 to 9, 2015.
- 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
- 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. - International Workshop on Differential Equations: Asymptotics, Operators, Geometry and Applications. Institute of Engeneering, UNAM, November 24-26, 2014.
- XLVII Meeting of the Mexican Mathematical Society. Universidad Juárez del Estado de Durango, October 26 - 31, 2014.
- III Joint Meeting: Mexican Mathematical Society and Royal Spanish Mathematical Society. Universidad Autónoma de Zacatecas, Mexico. September 1-4, 2014.
- IV Latin American Mathematics Conference: CLAM 2012. Universidad Nacional de Córdoba, Argentina. August 6-10, 2012.
- SIAM Conference on Nonlinear Waves and Coherent Structures (NW12). University of Washington, Seattle. June 13-16, 2012.
- IX Americas Conference on Differential Equations. Trujillo, Perú, January 9-14, 2012.
- Workshop on Mathematical Physics: Asymptotics and Applications. S. Dobrokhotov's 60th anniversary. Facultad de Ingeniería, UNAM, Mexico. November 28 - 30, 2010.
- SIAM Conference on Nonlinear Waves and Coherent Structures (NW10). Philadelphia, PA, August 16-19, 2010.
- VIII Americas Conference on Differential Equations. Veracruz, México, October 15-23, 2009.
- I Joint Meeting: Mexican Mathematical Society and Royal Spanish Mathematical Society. Oaxaca, Mexico, July 22-24, 2009.
- VII Joint Meeting AMS-SMM. Zacatecas, Mexico. May 2007.
- 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)

- Mathematics Colloquium. Institute of Mathematics, UNAM. May 17, 2016.
- Mathematics Seminar. Institute of Mathematics, UNAM, Juriquilla Campus. December 7, 2015.
- Nonlinear PDE Seminar. Institute of Mathematics, UNAM. December 3, 2015.
- Mathematics Colloquium. Center of Mathematicas Sciences (Morelia), UNAM. May 29, 2015
- Mathematics Colloquium. Institute of Mathematics (Cuernavaca Unit), UNAM. March 4, 2015.
- X Americas Conference on Differential Equations and Nonlinear Analysis. University of Buenos Aires, Argentina. February 9 to 20, 2015.
- Mathematics Seminar, ITAM, Mexico. January 23, 2015.
- XV International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP2014). IMPA, Rio de Janeiro, Brazil. July 28 - August 1, 2014.
- "DiferenciHable" Seminar. School of Sciences, UNAM, Mexico. 13 de marzo, 2014.
- Applied Mathematics Seminar, Department of Information Engineering, Computer Science and Mathematics, University of L'Aquila, Italy. November 27, 2013.
- Seminar on Differential Equations and Geometry. Department of Mathematics, Universidad Autónoma Metropolitana, Campus Iztapalapa. May 30, 2013.
- IX Conference in Analysis and Mathematical Physics. Hidalgo State University. Pachuca, Hidalgo, January 14-16, 2013.
- XIV International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP2012). University of Padova, Italy. June 25-29, 2012.
- Applied Mathematics Seminar. Department of Mathematics, Texas A&M University. April 2, 2012.
- Mathematics Colloquium. Institute of Mathematics, UNAM. February 21, 2012.
- Applied Mathematics Seminar. Dipartimento di Matematica Pura ed Applicata, Universitá degli Studi dell'Aquila, Italia. November 2, 2011.
- Applied Mathematics Seminar. Universidad Complutense de Madrid, Spain. April 13, 2010.
- Applied Mathematics Colloquium. IIMAS-UNAM. March 3, 2010.
- Applied Mathematics Colloquium. IIMAS-UNAM. February 24, 2010.
- Oberseminar. Max-Planck Institute for Mathematics in the Sciences and Mathematics Institute, University of Leipzig, Germany. November 19, 2009.
- Seminar on Differential Equations. Institute of Mathematics, UNAM. September, 10, 2009.
- Physics Department Seminar. School of Sciences, UNAM. May 16, 2009.
- Workshop of Interdisciplinary Research. School of Medicine, UNAM. February, 18, 2009.
- Mathematics Seminar, ITAM, Mexico. August, 2008.
- 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.
- Partial Differential Equations Seminar. Indiana University, Bloomington, Indiana, May 2008.
- Applied Mathematics Colloquium. IIMAS-UNAM. November, 2007.
- Partial Differential Equations Seminar. Indiana University, Bloomington, Indiana, April 2007.
- XI International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP2006). École Normale Supérieure Lyon, France. July 17-21, 2006.
- Mikrostrukturen Seminar. Max-Planck Institute for Mathematics in the Sciences, Leipzig, Germany. January, 2006.
- Analysis Seminar. Mathematics Institute, University of Leipzig, Germany. October, 2004.
- Applied Mathematics Colloquium. IIMAS-UNAM. September, 2004.
- Mikrostrukturen Seminar. Max-Planck Institute for Mathematics in the Sciences, Leipzig, Germany. January, 2004.

### Teaching Experience

- Advanced Partial Differential Equations: Hyperbolic Systems of Conservation Laws (Graduate course). Facultad de Ciencias, UNAM (Ph.D. Program). Term 2015-II.
- Partial Differential Equations II. School of Sciences, UNAM. Term 2015-I.
- Partial Differential Equations. Graduate Program in Mathematical Sciences, UNAM. 2015-I Term.
- Partial Differential Equations I. Facultad de Ciencias, UNAM. 2014-II term.
- Advanced Partial Differential Equations: Hyperbolic Systems of Conservation Laws (Graduate course). Facultad de Ciencias, UNAM (Ph.D. Program). Term 2014-I.
- Partial Differential Equations (Graduate course). Facultad de Ciencias, UNAM (Ph.D. Program). Term 2013-II.
- Applied Partial Differential Equations. Erasmus Mundus M. Sc. Programme in Mathematical Modelling and Engineering (MathMods). University of L'Aquila, Italy. September-December 2012.
- Partial Differential Equations I. Facultad de Ciencias, UNAM. Term 2012-II.
- Ordinary Differential Equations I. School of Sciences, UNAM. Term 2012-I.
- Advanced Partial Differential Equations: Introduction to Hyperbolic Systems of Conservation Laws (Graduate course). Facultad de Ciencias, UNAM (Ph.D. Program). Term 2011-II.
- Partial Differential Equations I. Facultad de Ciencias, UNAM. Term 2010-II.
- Advanced Partial Differential Equations: Hyperbolic Systems of Conservation Laws (Graduate course). Facultad de Ciencias, UNAM (Ph.D. Program). Term 2010-I.
- Ordinary Differential Equations I. Facultad de Ciencias, UNAM. Term 2009-II.
- Partial Differential Equations II. Facultad de Ciencias, UNAM. Term 2008-II.
- Complex Analysis (with H. Freistühler) (in English). University of Leipzig, Germany. Summer term 2006.
- Conservation Laws Seminar (with H. Freistühler) (in English). University of Leipzig, Germany. Spring term 2006.
- Differential and Integral Calculus II (with A. Schüler) (in English). University Leipzig, Germany. Fall term 2005.
- Ordinary Differential Equations for Physicists (with W. König). University of Leipzig, Germany. Spring term 2005.
- Discrete Mathematics. New York University. Summer term 2003.
- Discrete Mathematics. Fordham University, New York. Fall term 2002.
- Financial Calculus. Fordham University, New York. Fall term 2002.
- Differential and Integral Calculus. New York University. Spring term 2001
- Business Calculus. New York University. Spring term 2000.

### Mentorship

#### Ph.D. Supervision

- Enrique Álvarez, 2016 - present
- Juan Francisco Leyva, 2012 - present
- Fabio Vallejo, 2016 - present

#### M.Sc. Supervision

- Felipe Ángeles, 2016 - present
- Alejandro Butanda, 2015 - present
- Ignacio Pérez, 2011-2012
- Juan Francisco Leyva, 2009-2010

#### B.Sc. Supervision

- Eduardo Parra, 2015 - present
- Edgar Ávalos, 2015 - present
- Karina Islas, 2014-2015
- Felipe Ángeles, 2013-2014
- Mónica Romero, 2009-2010

### Professional Associations

I am member of the following societies:

- American Mathematical Society
- Society for Industrial and Applied Mathematics
- Sociedad Matemática Mexicana

### Service

- Associate Editor,
*Acta Applicandae Mathematicae*(2015-present). - Peer referee for:

*Applied Mathematics Letters**Archives of Mechanics**Boletín de la Sociedad Matemática Mexicana**Chaos, Solitons & Fractals**International Journal of Dynamical Systems and Differential Equations**International Journal of Non-Linear Mechanics**Journal of Partial Differential Equations**Journal of Mathematical Biology**Meccanica**Physica D: Nonlinear Phenomena*

- Reviewer for MathScinet, 2005 - present.
- Organizer of the Colloquium of Applied Mathematics, at IIMAS, UNAM (2011 - 2015).
- Organizer of minisymposia and special sessions at large meetings. Most recently:

- Organizer of the PDE session at the III Joint Meeting of the Mexican Mathematical Society and the Royal Spanish Mathematical Society. Zacatecas, Mexico. September 1-4, 2014.
- Organizer of the Differential Equations and its Applications Session at the XLVI Meeting of the Mexican Mathematical Society. Mérida, Yucatán, México. October 27 - November 1st., 2013.
- Organizer (with G. Flores and P. Padilla) of the I Workshop on Nonlinear Analysis "Jorge Ize Lamache". IIMAS, UNAM, April 10-11, 2013.

- Committees:

- Graduate Program in Mathematical Sciences, UNAM. Academic Committee. January 2015 - present.
- University Program of Nonlinear Phenomena (FENOMEC), UNAM. Academic Committee. January 2013 - present.
- School of Sciences, UNAM. Committee for Undergraduate Courses (Mathematics). February 2013 - present.
- School of Sciences, UNAM. Committee for Revision of B.Sc. Course Program in Mathematics. January - July, 2013.

### Other

- Fluent in Spanish, Italian and German.
- Programming experience in C, C++, Fortran and Python. Proficient in the use of MATLAB, Mathematica and Maple.