CV

EDUCATION

• Ph.D. in Applied Mathematics, May 1996.
  Dissertation: "A priori estimates on the total variation of solutions to hyperbolic systems of two conservation laws via generalized characteristics. ”
• M.S. in Applied Mathematics, May 1992

B.S. in Mathematics with high distinction, July 1990

EMPLOYMENT

• Director, Institute for Physical Science & Technology (2020-present)
• Associate Director, Institute for Physical Science & Technology (2014-2020)
• Director, Applied Mathematics & Statistics, and Scientific Computation Program (2007-2018)
• Professor, Center for Scientific Computation & Mathematical Modeling (2017—)
• Professor, Institute for Physical Science & Technology (2008-present)
• Professor of Mathematics (2007-present)
• Associate Professor of Mathematics (2004-2007)
• Assistant Professor of Mathematics (2000-2004)>

Ralph Boas Assistant Professor of Mathematics (1997-2000)

Postdoctoral Research Associate at the Center for Nonlinear Analysis (1996-1997)

Senior Simons Fellow (Spring 2017)

Simons Fellow (Spring & Summer 2014)

Simons Fellow: CMLA Research Center for Applied Mathematics (Spring 2014)

Research Professor: "Optimal Transport in Geometry and Dynamics” (Fall 2013)

Program Member: "Nonlinear Partial Differential Equations” (Fall 2008)

Research Fellow (Summer 2008)

Research Fellow: Necas Center for Mathematical Modeling (Fall 2006)

Program Member: "Wave Motion" (Fall 2005)

Visiting Scholar: Department of Mathematics (Spring 2004)

Program Member: "Nonlinear Hyperbolic Waves in Phase Dynamics & Astrophysics" (Spring 2003)

Visiting Scholar: Unite de Mathematiques Pures et Appliquees (Fall 2001)

Postdoctoral Associate: Mathematical Analysis (Spring 1999)

AFFILIATIONS

• Maryland BioPhysics Graduate Program (2019-present)
• The Burgers Program for Fluid Dynamics (2007-present)
• Applied Mathematics & Statistics, and Scientific Computation Program (2001-present)

ADMINISTRATIVE POSITIONS

• Director of the Institute for Physical Science and Technology (2020-present)
  IPST is an internationally recognized center for interdisciplinary research in emerging areas at the boundaries between physical, mathematical and life sciences, and engineering.
• Founding Faculty Director of the Graduate Certificate in Quantum Computing and the Masters of Professional Studies in Quantum Computing (Fall 2023)
• Director of the Applied Mathematics & Statistics, and Scientific Computation Program (2007-2018)
  AMSC is the largest interdisciplinary program in the country and is currently ranked among the top applied math programs in the US.
• Associate Director, Institute for Physical Science and Technology (IPST) (2014-2020)
  

AWARDS-HONORS

• 2023 SIAM Fellow (Society for Industrial and Applied Mathematics )
• 2023 AWM Fellow ( Association for Women in Mathematics )
• 2018 Outstanding Director of Graduate Studies Award
• Senior Simons Professor, IMPAN, Polish Academy of Sciences (Spring 2017)
• Simons Fellow (2013) (Simons Foundation)
• Research Professor, Mathematical Science Research Institute (Fall 2013)
• ADVANCE Fellow, University of Maryland (2012-present)
• Leadership Fellow, University of Maryland (2012-2013)
• ADVANCE Professor, College of Computer, Math. & Natural Sciences (2010-2012)
• Presidential Early Career Award for Scientists and Engineers (2003-2009)
• Faculty Early Career Development Award (CAREER) (2003)
• Alfred P. Sloan Research Fellow (2001) (Alfred P. Sloan Foundation)
• EU-HYKE European Research Fellowship (2004)
• EU-TMR European Research Fellowship (1999)
• Stella Dafermos Award, Brown University, 1994
• Brown University Fellowship (1991-1992), (1993-1994)

GRANTS-CONTRACTS

• NSF Research Grant DMS-2008568 (2020-2023) (Principal Investigator)
  Title: On the Dynamics of Nonlinear Systems in Applied Sciences: From Theory, Computations and Experiments to Insights
• NSF Research Grant DMS-1614964 (2016-2021) (Principal Investigator)
  Title: On the Dynamics of Nonlinear Systems in Appli\ ed Sciences
• Northrup Grumman. Award Number: 4313021 (2015-2016) (Principal Investigator)
  Title: Partnership between Northrup Grumman and the Institute for Physical Science and Technology at the University of Maryland.
• The World Bank. Award Number: 022939-001 (2015-2016) (Principal Investigator)
  Title: Partnership between the International Finance Corporation and the University of Maryland.
• Simons Fellowship (2013) (Simons Foundation - Award 267399)
  Title: On the dynamics of fluid motion. Applications in Biology and Ecology
• NSF Research Grant DMS-1211519 (2012-2015) (Principal Investigator)
  Title: On the Dynamics, Structure & Stability of Certain Nonlinear Systems in Applied Sciences
• NSF Research Grant DMS-1109397 (2011-2012) (Principal Investigator)
  Title: On the Dynamics of Certain Nonlinear Systems in Applied Sciences: Transport, Motion and Mixing
• NSF Research Grant DMS-0807815 (2008-2011) (Principal Investigator)
  Title: On the Dynamics, Structure and Stability of Certain Nonlinear Systems
• NSF PECASE Award DMS-0239063 (2003-2009)
  Title: Systems of Conservation Laws and Related Models in Applied Sciences - Math Awareness and Outreach
• NSF Research Grant DMS-0405853 (Principal Investigator)
  Title: Chalenges in Systems with Sematic and Nematic Order
• NSF Research Grant DMS-0072496 (2000-2003) (Principal Investigator)
  Title: Hyperbolic Conservation Laws - Viscous Conservation Laws - Applications
• NSF Research Grant INT-9987378 (2000-2003) (US-China cooperative research)
  Title: Nonlinear Partial Differential Equations in Fluid Dynamics and Related Problems
• NASA (Principal Investigator) (2008-2011)
  Title: A Data Assimilation Study Using a Cirrus Cloud and Simplified Coupled Ocean Atmospheric Model" (Student Support)

ADVISING: RESEARCH DIRECTION

POSTDOCTORAL ASSOCIATES

• Franziska Weber (2016-2018)
  Placement: Tenure Track, Assistant Professor, Carnegie Mellon University
• Michele Coti Zelati (2014-2017)
  Placement: Chapman Fellow, Imperial College (2017-2019)
• Trygve Karper (2010-2013)
  Current Position: Associate Professor at the Norwegian University of Science and Technology, Trondheim, Norway
• Haintek Bae (2009-2012)
  Current Position: Assistant Professor, UNIST, Korea
• Irene Kyza (2009-2011)
  Current Position: Lecturer, University of Dundee, UK
• Weiran Sun (2008-2009)
  Current Position: Tenure track, Assistant Professor, Simon Fraser University
• Young-sam Kwon (2007-2009)
  Current Position: Associate Professor, Dong-A University
• Dianwen Zhu (2005-2007)
  Placement: Krener Assistant Professor of Mathematics, Univ. of California-Davis.

Ph.D. STUDENTS

• Pranava Jayanti (Ph.D. August 2022)
  Thesis: Analysis of Models of Superfluidity
  Placement:University of Southern California: Assistant Professor (RTPC) of Mathematics
• Tessa Thorsen (Ph.D. August 2021)
  Thesis: A Chemotaxis Fluid Model For Multiphase Tumor Growth
  Placement: Applied Physics Laboratory, Johns Hopkins University, Air and Missile Defense Department
• Arseny Zakharov (Ph.D. December 2018) (Co-Advisor: B. Balachandran)
  Thesis: Understanding extreme waves using wavelets: Analysis, Algorithms, and Numerical Studies
  Placement: Boyd Watterson Asset Management (Data Analyst)
• Hana Ueda (Ph.D. December 2016) (Co-Advisor: W. Bentley)
  Thesis: Mathematical models of quorum sensing
  Placement: Data Scientist
• Scott A. Smith (Ph.D. August 2016) (Co-Advisor: S. Cerrai)
  Thesis: The Stochastic Navier-Stokes Equations for Heat Conducting Compressible Fluids
  Placement: Max Planck Institute (Leipzig) (Postdoctoral Associate) (2016-19)
• Stefan Doboszczak (Ph.D. May 2016)
  Thesis: Existence and weak-strong uniqueness for the Navier-Stokes Smoluchowski system over moving domains
  Placement: Oak Ridge Institute for Science and Education, DOE Postdoc (2016-19)
• Andrew Brandon (Ph.D. August 2015) (Co-Advisor: R. Ananth)
  Thesis: Capturing Micro-Emulsions with Arbitrary Lagrangian Eulerian Method
  Placement: Lycoming College (tenure track)
• Joshua Ballew (Ph.D. May 2014)
  Thesis: Mathematical topics on fluid-particle interaction
  Placement: Carnegie Mellon University, NSF Postdoc (2014-17)
• Alexey Miroshnikov (Ph.D. August 2012) (Co-Advisor A. Tzavaras)
  Thesis: A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of determinants
  Placement: University of Massachusetts, Amherst, Visiting Assistant Professor (2012-16), University of California Los Angeles (2016-19)

CURRENT Ph.D. STUDENTS

• Anqi Ye, Ethan Dudley

MASTER’s STUDENTS

• Andrew Brandon (M.S. May 2013) (Co-Advisor: R. Ananth)
  Thesis: Modeling Local and Advective Diffusion of Fuel Vapors in Aqueous Foams to Understand Foam Effectiveness in Fighting Fires
• Rebecca Kokes (M.S. May 2011)
  Thesis: On the Securitization of Life Insurance Risk
• Brian Davis, (M.S., May 2006)
  Thesis: Traveling Wave Solutions for a Combustion Model
• E.-J. Seo, (M.S., May 2004) (Co–advisor L. Greenberg)
  Thesis: Lyapunov Stability for two Problems in Fluid Dynamics

• trivisa@umd.edu
• MATH Office
  (301) 405-6865
• IPST Office
  (301) 405-4760
• Department of Mathematics
  University of Maryland
  College Park, MD 20742