Bernard Friedman Award for outstanding dissertation research, UC Berkeley (1995)
NSF Postdoctoral Research Fellowship (1995)
2001 Career Enhancement Fellowship for Junior Faculty from Underrepresented Groups
(Woodrow Wilson National Fellowship Foundation)
Grants
NYU Research Challenge Fund Impulse Methods for Fluid Flow
With Immersed Boundaries (Summer 1997)
NSF Impulse Models for Fluid Motion with Flexible Boundaries
(1998-2002)
Louisiana Board of Regents Enhancement award (Co-PI) (1998-2001)
DOE Livingston Digital Millennium Center for Computational Science (Co-PI) (2001-2002)
NSF Faculty Early Career Development Award (CAREER) (2001-2006)
Louisiana Board of Regents Enhancement award (2002-2004)
NSF/NIH Integrative Models of Microorganism Motility (Co-PI) (2002-2007)
NSF Tulane VIGRE grant (Co-PI) (2003-2006)
NSF Mathematics Mini-courses for Students at the SACNAS Conference (2003-2004)
NSF Mathematics Mini-courses for Students at the 2004 SACNAS Conference (2004-2005)
National Security Agency
Enhancing the mathematics activities of the SACNAS conference (Co-PI) (2003-2004)
National Security Agency
Enhancing the mathematics activities of the SACNAS 2004 conference (Co-PI) (2004-2005)
National Security Agency
Enhancing the mathematics activities of the SACNAS 2005 conference (Co-PI) (2005-2006)
NSF Pan-American Advanced Studies Institute: Mathematical Models of Population Dynamics (PI) (2005-2006)
National Security Agency
SACNAS/MSRI Workshop on Modern Mathematics: an Introduction to the
2007-08 Programs at the Mathematical Sciences Research Institute (Co-PI) (2005-2006)
NSF Regularization Methods: New Theory, analysis and applications
(PI) (2006-2009)
Professional Activities
Co-Chair, of the Annual Meeting of the Society for Industrial and
Applied Mathematics (SIAM), Boston, July 2006.
Member of the Mathematical Sciences Research Institute (Berkeley)
Human Resources Committee (2004-present)
Co-organizer, First Course and Conference in Mathematical Modeling, San Salvador, El Salvador, Jan 2005.
Seminar Leader at the Summer Institute in Mathematics for Undergraduates
(SIMU), Summer of 2002.
Member of the Editorial Board, American Mathematical Monthly, 2001-Present.
Ad hoc reviewer, NSF-NATO Postdoctoral Fellowships, Feb 2002.
Member of SIAMCommittee on Committees and Appointments, 2001-2003.
Member of SACNAS
(Society for Advancement of Chicanos and Native Americans in Science).
Board member 1994-96
Referee for J. Comput. Phys., SIAM J. Sci. Comput., Phys. Fluids
Co-organizer, Diversity Workshop, SIAM annual meeting, Atlanta, May 1999.
Impulse Variables, Vortex Dipoles and Applications,
2nd international workshop on vortex flows and related numerical methods.
Université de Moncton, Canada. August, 1995.
Impulse Methods for Fluid Flow,
SIAM 45th Anniversary Meeting, Stanford University, July 1997.
Immersed Boundary Problems Using Impulse,
Conference on Advances in Applied and Computational Mathematics
in Honor of A. J. Chorin's 60th Birthday, MSRI, Berkeley, June 1998.
Dinámica de Fluidos and Aplicaciones Biológicas,
V Encuentro Franco-Centroamericano de Matemática, San Salvador,
El Salvador, July 1998.
Vortex/Impulse Particle Methods for Flows With Immersed Boundaries,
3rd international workshop on vortex flows and related numerical methods.
Toulouse, France. August 24-27, 1998.
Computation of Swimming Motions, Computational Modeling in
Biological Fluid Dynamics Workshop at the Institute for
Mathematics and its Applications, University of Minnesota.
January 25-29, 1999.
Computation of Immersed Boundary Motions Using Impulse,
Fourth International Congress on Industrial and Applied Mathematics.
Edinburgh, Scotland, July 5-9, 1999.
Computation of Fast Immersed Boundary Motions,
Nonlinear Analysis 2000 -> conference, Courant Institute, New York
University, May 28 - Jun. 2, 2000.
Computation of Fast Immersed Boundary Motions,
2000 SIAM Annual Meeting. Rio Grande, Puerto Rico. July 10-14, 2000.
The Blob Projection Method for Fluid/Interface Computations,
2001 SIAM Annual Meeting. San Diego, California. July 9-13, 2001.
Regularized Stokeslets,
Mathematical Biology seminar, Mathematics Department, Duke University,
March 7, 2002.
Regularized Stokeslets,
Applied Mathematics seminar, Mathematics Department, University of
North Carolina, March 8, 2002.
Numerical Computation of Swimming Motions Using Regularized Stokeslets,
Applied Mathematics Colloquium, Mathematics Department, University of
Arizona, April 19, 2002.
The Blob Projection Method for Fluid/Interface Computations,
Nonlinear Differential Equations, Mechanics and Bifurcation:
A Conference in Honor of David G. Schaeffer, Duke University,
May 20-22, 2002.
Regularized Stokeslets, Computational Techniques for
Moving Interfaces Workshop, August 23-28, 2003, Banff International
Research Station, Canada.
Algunos Modelos Matemáticos de Propagación de Epidemias,
Universidad Nacional de El Salvador, October 22, 2003.
Theory and Application of Regularization Methods for Fluid Flow Simulations,
University of Arizona, April 13, 2004.
Theory and Application of Regularization Methods for Fluid Flow Simulations,
University of California, Berkeley, February 23, 2005.
High Order Interpolation Kernels With Explicit Formulas,
University of Arizona, Tucson, March 31, 2005.
Regularized Stokeslets for biological flow simulations,
Montana State University, August 2, 2005.
Numerical Methods based on Regularized delta distributions,
University of North Carolina, Scientific Computation Club, Oct. 8 and Nov. 4, 2005.
The Method of Regularized Stokeslets and its Extensions,
North Carolina State University, Biomath Seminar, Nov. 1, 2005.
Talks to undergraduates
Numerical Models of the Interaction of a Fluid and an Elastic Membrane,
Mathematical and Theoretical Biology Institute (MTBI), Cornell University, July 1996.
Mathematical Models of Pattern Formation, University of
Puerto Rico, Humacao. Summer Institute in Mathematics for Undergraduates
(SIMU), 1998.
Calculus Using Mathematica, Minicourse given at the
Universidad Nacional in San Salvador, El Salvador, July 1998.
The Gambler's Ruin is a Random Walk, University of Puerto
Rico, Humacao. Summer Institute in Mathematics for Undergraduates
(SIMU), 1999.
Mathematical Models of Epidemic Spreading, University of Puerto
Rico, Humacao. Summer Institute in Mathematics for Undergraduates
(SIMU), 2000.
Computational Models on the Interface of Mathematics and Biology,
University of Puerto Rico, Humacao. Summer Institute in Mathematics for
Undergraduates (SIMU), 2001.
The Gambler's Ruin is a Random Walk, Lafayette College.
Research Experiences for Undergraduates Program, June 16, 2003.
The Gambler's Ruin is a Random Walk, Loyola Marymount University.
Applied Mathematical Sciences Summer Institute (AMMSI) Program, June, 2005.
Students Mentored
Senior project: The Effects of Two Parameters on a Reaction-Diffusion System,
Jennifer Semtner, Spring 2000.