Visiting Assistant Professor, Mathematics

Texas A&M University

Biography

I am a visiting assistant professor in the math department at Texas A&M University working with Prof. Edriss Titi. I have a Ph.D. in Mathematics from the University of Nebraska at Lincoln, where I was advised by Adam Larios. My current interests are primarily in the use of data assimilation to recover solutions to dynamical systems of turbulent fluids. In particular, I have been studying the Azouani-Olson-Titi algorithm for continuous data assimilation, which applies a feedback-control term at the PDE level for general dissipative dynamical systems. I am interested in applying data assimilation to interesting dynamical systems, which include using it for ocean modeling. I am also interested in the computational aspects of simulating the solutions to PDEs, particularly for fluid dynamics. A copy of my CV is available here.

Interests
  • Partial Differential Equations
  • Computational Fluid Dynamics
  • Data Assimilation
  • Numerical Analysis
Education

  • PhD in Mathematics

    University of Nebraska -- Lincoln

  • MS in Mathematics

    University of Nebraska -- Lincoln

  • BS in Mathematics and Computer Science with Honors

    University of Nebraska -- Lincoln

Courses Taught

Current Students: Please see Canvas for more information

Texas A&M University

  • Math 412 — Theory of PDES
    • Fall 2025 x1
  • Math 309 — Linear Algebra for Differential Equations
    • Fall 2025 x1
  • Math 311 — Vector Calculus and Linear Algebra
    • Summer 2025 x1
  • Math 304 — Linear Algebra
    • Spring 2025 x1
  • Math 251 — Vector Calculus for Engineers
    • Fall 2024 x2

University of Nebraska - Lincoln

  • Math 101 — College Algebra
    • Fall 2019 x2
    • Spring 2020 x1
  • Math 107 — Calculus 2 (Recitations)
    • Fall 2018 x2
    • Spring 2019 x1

Selected Talks

INVITED TALKS

  1. “On the inadequacy of nudging for non-dissipative systems”, SIAM Conference on Mathematical & Computational Issues in the Geosciences, Louisiana State University, Baton Rouge, LA, 14 October 2025.
  2. “Performance and Limitations of Continuous Data Assimilation”, Workshop on Data Assimilation, University of Warsaw, Warsaw, Poland, 17 September 2025.
  3. “Inadequacy of Nudging Data Assimilation Algorithms for Non-Dissipative Systems”, European Fluid Dynamics Conference, University College Dublin, Dublin, Ireland, 26 August 2025.
  4. “Exploring the Infinite Nudging Limit in Continuous Data Assimilation”, Numerical Analysis and Scientific Computing Seminar, University of Waterloo (attended remotely over Zoom), Waterloo, Canada, 22 October 2024.
  1. “Leveraging Observational Data to Enhance Continuous Data Assimilation: Mobile Observers, Sparse-in-time Observations, and a Global Ocean Model”, Partial Differential Equations Seminar, Florida State University (attended remotely over Zoom), Tallahassee, FL, 20 November 2023.
  2. “From Feedback to Enforcement: Synchronization as the Limit of Nudging”, SIAM Conference on Mathematical & Computational Issues in the Geosciences, Pittsburgh, PA, 18 November 2023.
  1. “Continuous Data Assimilation Improved by Dynamic Movement Patterns”, AMS Fall Western Sectional, University of Utah, Salt Lake City, UT, 22 October 2022.
  2. “Dynamic Movement Patterns for Data Assimilation: Augmenting Convergence Rates with Mobile Observers”, AMS Fall Southeast Sectional, University of Tennessee–Chattanooga, Chattanooga, TN, 15 October 2022.
  3. “Data Assimilation in Turbulent Fluids: Movement Patterns for Increased Convergence Rates”, SIAM Central States Section, Oklahoma State University, Stillwater, OK, 1 October 2022.

CONTRIBUTED TALKS

  1. “Dynamic Observer Patterns for Continuous Data Assimilation: The Bleeps, The Sweeps, and The Creeps”, 2022 Shanks Workshop on Mathematical Aspects of Fluid Dynamics, Vanderbilt University, Nashville, TN, 19 February 2022.
  2. “Modifications of a Data Assimilation Method for Turbulence Modeling”, KUMUNU-ISU Conference on PDE, Dynamical Systems, and Applications 2021 Poster Session, University of Nebraska – Lincoln, Lincoln, NE, 23 October 2021.
  3. “Continuous Data Assimilation Enhanced by Dynamic Observers”, Summer School in Analysis of PDEs and Fluid Dynamics, University of Edinburgh, Edinburgh, United Kingdom, 25 July 2019.

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