Research

Projects

  • National Science Foundation (NSF) DMS – 2110263. Algorithms and Numerics for Optimization Problems with PDEs. August 2021 – July 2024.
  • Air Force Office of Scientific Research (AFOSR) – FA9550-21-1-0181. Defense University Research Instrumentation Program (DURIP). Optimization, Control, Networks and Learning from Data. May 2021-April 2022.
  • National Science Foundation (NSF) DMS – 120521. Semiparametric Methods for Data Assimilation and Uncertainty Quantification. September 2020 – August 2023.
  • Army Research Office (ARO). Control, Optimization and Transmission Problems for Nonlocal PDEs. June 2020  – June 2023.
  • Air Force Office of Scientific Research (AFOSR) – FA9550-18-1-0242. Nonlocal PDEs: Modeling, Analysis, Control and Beyond. January 2020  – May 2021.
  • Department of Navy, Naval PostGraduate School – N00244-20-1-0005.
    Constrained Optimization and Machine Learning.
    January 2020 – February 2022.
  • National Science Foundation (NSF) DMS – 2012391.
    Optimization Problems with Quasi-Equilibrium Constraints: Control, Identification, and Design.
    July 2020 – June 2023.
  • Defense Threat Reduction Agency (DTRA).
    Neural-Net/Deep Learning Based Chemical Reaction Package.
    2020 – 2021.
  • National Science Foundation (NSF) DMS – 1913004
    Collaborative Research: Multilevel Methods for Optimal Control of Partial Differential Equations and Optimization-Based Domain Decomposition.
    July 2019-June 2022.
  • Air Force Office of Scientific Research (AFOSR) – FA9550-19-1-0036.
    Structure Exploiting Trust Regions for Bilevel and Risk-Averse Optimization. January 2019-December 2021.
  • National Science Foundation (NSF) DMS – 1907412
    East Coast Optimization Meeting (ECOM). March 2019-August 2020.
  • National Science Foundation (NSF) DMS – 1818772
    Partial Differential Equation Constrained Optimization: Algorithms, Numerics, and Applications. August 2018-July 2021.
  • Department of Energy, Sandia National Laboratories
    Fractional differential operators for features detection in the subsurface. January-May 2019.
  • Department of Energy, Sandia National Laboratories
    Fractional operators in Geophysics. January-May 2018
  • National Science Foundation (NSF) DMS – 1521590
    Numerical Analysis of Partial Differential Equation Constrained Optimization Problems. July 2015-May 2019.

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