Seth Gerberding

Ph.D. Candidate in Mathematics

Contact Information

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

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.