Seth Gerberding
Ph.D. Candidate in Mathematics
Education
Texas A&M University
- Ph.D. in Mathematics
- Advisor: Dr. Jean-Luc Guermond
- Expected Graduation: August 2026
University of South Dakota
- B.S. in Mathematics and Philosophy (Double Major), Summa Cum Laude
- Honors Program University Scholar, Pi Mu Epsilon
- Degree Conferred: May 2020
Research & Computational Science Experience
Graduate Research Assistant
Los Alamos National Laboratory, Los Alamos, NM | Oct 2023 – Present
- Developed verification methodologies for computational simulations using arbitrary equations of
state.
- Implemented a semi-analytic, equation-of-state-agnostic Python solver integrated into
ExactPack.
- Performed solution verification of the LANL Singularity-EOS framework.
- Published results in peer-reviewed journals and technical reports.
- Supported model credibility efforts through rigorous verification and validation workflows.
Graduate Research Assistant
Texas A&M University, College Station, TX | Oct 2022 – Present
- Developed robust, high-order finite element methods for dispersive partial differential
equations.
- Designed matrix-free numerical solvers and geometric multigrid workflows in deal.II.
- Performed solution verification and validation studies against experimental benchmark data.
- Proved mathematical stability, energy preservation, and invariant-domain properties of numerical
methods.
- Implemented scalable C++, MPI, and high-performance scientific computing workflows.
Summer Fellow, XCP Computational Physics Workshop
Los Alamos National Laboratory, Los Alamos, NM | Jun 2023 – Aug 2023
- Developed analytic solutions for special cases of the Euler equations.
- Wrote Python code for analysis and visualization.
- Ran simulations using the Eulerian code xRAGE.
- Compiled results in an internal LANL report.
Student Intern
U.S. Army Corps of Engineers, Vicksburg, MS | May 2022 – May 2023
- Developed an IMEX finite element method for the linear KdV equation in Python.
- Authored a technical report detailing analysis and numerical results.
Teaching Experience
Teaching Assistant (Aggregate)
Texas A&M University | Aug 2020 – May 2022
- Led recitations and labs for Calculus I and II.
- Graded coursework in Proofs, Combinatorics, and Differential Equations.
Math Circle Facilitator
Texas A&M University | Jan 2021 – May 2021
- Facilitated problem-solving sessions for gifted K–12 students.
Service & Leadership
Graduate Student Representative, Strategic Budgeting Council
Texas A&M University | Oct 2025 – Present
- Advise on university-wide budgeting decisions.
Speaker & Executive Vice President
Graduate & Professional Student Government | Apr 2024 – Apr 2025
- Led a senate representing 16,000+ graduate and professional students.
- Oversaw constitutional and bylaw reforms.
- Doubled senate membership through coordinated recruitment.
Technical Skills
- Programming: C++, Python, MATLAB, MPI
- Scientific Computing: deal.II, PETSc, NumPy, SciPy
- Visualization: ParaView, Matplotlib, TikZ, pgfplots
- Development Tools: Git, GitHub, Linux/Unix, CMake, VS Code, Vim/Neovim
- Core Expertise: Verification & Validation, Numerical PDEs, Finite Elements,
High-Performance Computing
Awards & Honors
- Guseman Award, Texas A&M University (2025)
- 30 Under 30, University of South Dakota Alumni Association (2023)
- Thesis with High Distinction, University of South Dakota (2020)
- Eagle Scout (2015)
Selected Publications
-
Gerberding, S., Peterson, J., Ferguson, J., Ramsey, S.
Semi-Analytic Solutions to the Noh Problem with a Black Box Equation of State.
Physics of Fluids, 2026.
-
Gerberding, S.
A High-Order IMEX Method for Generalized Korteweg–de Vries Equations.
Journal of Computational and Applied Mathematics, 2026.
-
Gerberding, S., Obatake, N., Shiu, A.
Identifiability of Linear Compartmental Models.
Linear and Multilinear Algebra, 2022.