PhD Candidate, Mathematics

University of Nebraska, Lincoln

Biography

I am a fifth-year Mathematics graduate student at the University of Nebraska at Lincoln, 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 (in-progress)

    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

  • Math101 — College Algebra
    • Fall 2019 x2
    • Spring 2020 x1
  • Math107 — Calculus 2 (Recitations)
    • Fall 2018 x2
    • Spring 2019 x1

Selected Talks

INVITED TALKS

  1. “Data Assimilation in Turbulent Fluids: Movement Patterns for Increased Convergence Rates”, SIAM Central States Section, Oklahoma State University, Stillwater, OK, 1 October 2022.
  2. “Lagrangian Particles in Ocean Modeling”, Climate, Ocean, and Sea Ice Modeling (COSIM) seminar, Los Alamos National Laboratory, Los Alamos, NM, 25 August 2021.
  3. “Continuous Data Assimilation with Time-Dependent Measurement Points”, SIAM Central States Section Meeting, Iowa State University, Ames, IA, 20 October 2019.

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.

UNL SEMINARS

  1. “Navigating Smooth Manifolds”, Student Partially in Differential Equations Reading Seminar(SPIDERS), University of Nebraska–Lincoln, Lincoln, NE, 25 October 2022.
  2. “An Introduction to the Hahn-Banach Theorem and It’s Corollaries”, Student Partially in Differential Equations Reading Seminar(SPIDERS), University of Nebraska–Lincoln, Lincoln, NE, 27 September 2022.
  3. “Introduction to Stochastic Calculus”, Student Applied Analysis Reading Seminar (STAARS), Unversity of Nebraska–Lincoln, Lincoln, NE, 27 September 2022.
  4. “The Galerkin Method II: The Stronger Stuff”, Students Partially in Differential Equations Seminar (SPiDERS), Unversity of Nebraska–Lincoln, Lincoln, NE, 2 November 2021.
  5. “The Galerkin Method: Vacationing in Finite Dimensional Space”, Students Partially in Differential Equations Reading Seminar (SPiDERS), University of Nebraska–Lincoln, Lincoln, NE, 26 October 2021.
  6. “Mathematical Aspects of Fluid Dynamics: Helmholtz-Hodge Decomposition and the Stokes Operator - III”, Partial Differential Equations Seminar, University of Nebraska–Lincoln, Lincoln, NE, 25 February 2020.
  7. “Mathematical Aspects of Fluid Dynamics: Helmholtz-Hodge Decomposition and the Stokes Operator - II”, Partial Differential Equations Seminar, University of Nebraska–Lincoln, Lincoln, NE, 18 February 2020.
  8. “Mathematical Aspects of Fluid Dynamics: Helmholtz-Hodge Decomposition and the Stokes Operator - I”, Partial Differential Equations Seminar, University of Nebraska–Lincoln, Lincoln, NE, 4 February 2020.

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