Modeling light filaments

Prof. Alejandro Aceves



 Alejandro Aceves

Professional Preparation

UNAM, Mexico City, Mexico, Physics, B.S. 1981

California Institute of Technology, Pasadena, CA , Applied Mathematics  M.S., 1983

University of Arizona, Tucson, AZ, Applied Mathematics  Ph.D., 1988


Professor, Department of Mathematics, Southern Methodist University 2008-

Chair, Department of Mathematics, Southern Methodist University 2015-2021

Chair, Department of Mathematics and Statistics, University of New Mexico, 2004-2008

Assistant, Associate, and Full Professor, Department of Mathematics and Statistics, University of New Mexico, 1989-2008.

Visiting Associate Professor, Brown University, Applied Mathematics 09/1996- 05/1997.

Visiting Research Associate (1/90-6/90), Heriot-Watt University, 01/1990-06/1990.


  • 1998-2001 University of New Mexico Regents Lecturer
  • “David Alcaraz” Annual Lecture, UNAM (University of Mexico). Mexico City, Mexico. November 2001.
  • Distinguished Lecture, Department of Mathematics, University of Texas Pan American, April 2010
  • Elected Chair of the Nonlinear Waves and Coherent Structures Activity Group of the Society for Industrial and Applied Mathematics (SIAM). 2005-06.
  • Member of Sigma Xi, The Scientific Research Society.
  • Honorary Member of the Phi Eta Sigma National Honor Society.
  • Invited Professorship, Universite de Limoges, Research Institute, Photonics Department, Limoges France, July 2012.
  • Faculty Fellow, Air Force Research Laboratory, Summers 2013, 14.
  • Invited Professorship, Universita di Brescia, Department of Information Engineering, Brescia Italy, May-July 2015.
  • Elected Fellow of the Optical Society of America, 2016.
  • Invited Professorship, Laboratorie de Mathematiques INSA-Rouen, Rouen France, June 2016.
  • Long term visitor, NSF Institute for Mathematics and its Applications, University of Minnesota, Spring 2017.
  • Visiting researcher, University of Deusto, Bilbao Spain, June 2017.

Recent Products

  1. Shen, P. G. Kevrekidis, G. Srinivasan and A. B. Aceves (2016), “Existence, stability and dynamics of discrete solitary waves in a binary waveguide array”, Journ. of Phys. A 49, 29520.
  2. Tsampikos Kottos and Alejandro B. Aceves (2016), “Synthetic Structures with Parity-Time Symmetry”, Chapter 9, Book: Contemporary Optoelectronics: Materials, Metamaterials to Device Applications, “Springer Series in Optical Sciences V. 199”. O. Shulika and I. Sukhoivanvov, Editors.
  3. De Angelis, A. Locatelli, A. Mutti and A. Aceves, (2016), “Coupling dynamics of 1D surface plasmon polaritons in tunable 2D systems”, Optics Letters. 41, 480-483.
  4. Jessica Jultey and Alejandro B. Aceves (2016), ”Spontaneous PT Symmetry breaking in nonlinearly coupled van der Pol oscillators”, Studies in Applied Mathematics 137 (2) 256-270.
  5. Claudia Castro-Castro, Yannan Shen, Gowri Srinivasan, Alejandro B. Aceves, Panayotis G, Kevrekidis (2016), “Light dynamics in nonlinear trimers and twisted multicore fibers”, Journ. of Nonlinear Optical Physics and Materials 25 (4).
  6. Alexey Sukhinin, Alejandro Aceves, Jean-Claude Diels and Ladan Arissian (2017) “Collapse events of two-color optical beams”, Phys. Rev. A 95, 031801(R).
  7. Cuevas-Maraver, P. G. Kevrekidis, A. B. Aceves and A. Saxena (2017), “Solitary waves in a two dimensional binary waveguide array described by the discrete nonlinear Dirac equation”, Journal of Physics A: Mathematical and Theoretical 50 (49), 495207

Recent funding:

PI: ”SMU-RTG: Modeling and Computations for Complex Systems”, 08/01/19-07/31/24, National Science Foundation $2,343,000.

Single PI: ”Modeling Light Filamentation Science”, 08/01/19-07/31/22, National Science Foundation $169,989.

SMU-PI (Collaboration with UNM), ”Multi-color filaments for extended range, applied to remote sensing and laser induced EMP”, Army Research Office, 04/20/19-04/19/22, $185,000.

Most recent Synergistic activities

  • Plenary speaker, XXX Inter-University Seminar on Research in the Mathematical Sciences (SIDIM) and Keynote speaker, Undergraduate Mathematics Research Conference (UMaRch), Universidad de Puerto Rico, Mayaguez, February, 2015. (Title of the talk: “Emerging opportunities of undergraduate research in nonlinear optics”)
  • Invited participant of the National Academy of Engineering and the National research Council Workshop “Analytical Research Foundations for the Next Generation Grid”, Beckman Center, Irvine CA. February 11-12, 2015.
  • Affiliate scientist at the Department of Energy Los Alamos National Laboratory (since 2003).
  • Committee of Visitors (External review team), Division of Mathematical Sciences, National Science Foundation (NSF), 2016.
  • Member of the Southern Methodist University Data Science Initiative Task Force, 2017-18.
  • Invited speaker, SIAM Conference in Nonlinear Waves and Coherent Structures (NWCS18), June 11-14, 2018.

Students, Postdocs and Collaborators

 Former and current SMU PhD students

    • Alyssa Pampell (PhD June 2013), Orbital Debris Scientist, NASA Orbital Derbis Program.
    • Edward Downes (PhD 2015), Mathematics High School Teacher St. Alcuin School
  • Jessica Jutley (PhD 2017), Computational Scientists, Scala Computing, NYC..
  • Claudia-Castro-Castro (PhD 2017), Postdoctoral Fellow UT Austin
  • Austin Copeland (Expected PhD 2020)

Postdoctoral Mentoring at SMU: Dr. Yannan Shen (Currently at Cal State LA), Dr. Alexey Sukhinin (Most recently postdoctoral fellow U. Vermont), Dr. Daniel Cargill (Currently operations research analyst AFRL).

Most recent collaborators ; Prof Jean Claude Diels (University of New Mexico); Profs. Costantino de Angelis and Stefan,Wabnitz (University of Brescia, Italy) Dr. Jean Guy Caputo (INSA, Rouen France); Prof. Sergei Turitsyn, (Aston U., UK).