Curriculum Vitae
Curriculum Vitae Jordan N. Hoffart
Contact Information
E-mail:
jordanhoffart@tamu.edu
Mail: Department of Mathematics, Mailstop 3368, Texas A&M
University, College Station, TX 77843-3368
Education
Fall 2020 – Present: Ph.D. Mathematics, Texas A&M
University
Research areas: Numerical PDEs, Finite Element Methods,
Computational Fluid Dynamics, Hyperbolic Conservation Laws,
Computational Magnetohydrodynamics
Advisor:
Dr. Matthias Maier
Fall 2015 – Fall 2019: B.S. Applied Mathematical Sciences,
Texas A&M University
Magna Cum Laude
4.0 Major GPA, 3.71 Overall GPA
Research Interests
Computational fluid dynamics: hyperbolic conservation laws
Finite element methods and finite element software
Computational magnetohydrodynamics: Euler-Maxwell equations
Ejecta modeling
Research Projects
Fall 2021 – Present: Structure-preserving finite element
schemes for the Euler-Maxwell equations
Advisor:
Dr. Matthias Maier
Ph.D. research
Developing provably robust, high-performance, large-scale finite
element schemes to numerically approximate solutions to the
Euler-Maxwell equations
Part of larger work to develop finite element schemes for
nonlinear hyperbolic systems that are coupled with other PDE
systems
Summer 2023: Modeling ejecta from shocked metals
Mentors:
Bryan Kaiser
and
Jesse Canfield
Los Alamos National Lab Computational Physics Summer Workshop
Used high-performance large-scale multiphysics simulations to
model ejecta formation in shocked metal surfaces with various
defects
Spring 2020: Numerical study of decay rates of the 1D Klein-Gordon
equations
Advisors:
Dr. Matthias Maier
and
Dr. Jonas Lührmann
Undergraduate research project
Implemented finite difference techniques in Julia to numerically
study the decay rates of solutions to the 1D Klein-Gordon
equations with various different nonlinearities in the model
Preprints and Publications
Jordan Hoffart, Matthias Maier, John N. Shadid, and Ignacio Tomas
Structure-preserving finite-element approximations of the
magnetic Euler–Poisson equations
Submitted October 2025
arXiv preprint
Posters and Presentations
October 2024:
A comparison of finite element spaces for the discontinuous
Galerkin approximation of the Maxwell eigenvalue problem in
first-order form , SIAM TX–LA 2024, Baylor University, Waco, TX, USA
March 2024:
Towards an involution-preserving solver for the time-dependent
Maxwell equations , Finite Element Rodeo 2024, Rice University, Houston, TX, USA
November 2023:
Towards an involution-preserving solver for the time-dependent
Maxwell equations , SIAM TX–LA 2023, University of Louisiana at Lafayette,
Lafayette, LA, USA
March 2023:
Structure-preserving finite element schemes for the
Euler–Poisson equations , Finite Element Rodeo 2023, Texas A&M University, College
Station, TX, USA
November 2022:
Structure-preserving finite element schemes for the
Euler–Poisson equations , SIAM TX–LA 2022, University of Houston, 4800 Calhoun Rd,
Houston, TX, USA
Service and Outreach
Fall 2023 – Present: Officer in the
student SIAM chapter at Texas A&M University
Treasurer since Summer 2025
Vice President from Fall 2023 to Fall 2025
President since Fall 2025
Summer 2025:
Modeling and Simulation with PDEs Undergraduate Summer School
Teaching assistant
Assisted students with programming and theory exercises during
organized lab sessions.
Mentored a group of 3 students in a project using finite
difference methods to study nonlinear dispersive waves.
January 2025:
Texas Junior Science and Humanities Symposium
Judge in the Mathematics and Computer Science category
Summer 2024:
Modeling and Simulation with PDEs Undergraduate Summer School
Teaching assistant
Assisted students with programming and theory exercises during
organized lab sessions.
Mentored a group of 4 students in a project using finite
difference methods to study nonlinear dispersive waves.
Fall 2023:
Directed Reading Program
Mentor, Texas A&M University
Topic: Compartmental models in epidemiology
Spring 2022: Directed Reading Program Mentor, Texas A&M
University
Topic: Time Complexity of Algorithms
February 2020: Change for a Dollar , K12 Math Club,
Texas A&M University, College Station, TX, USA
Conferences Attended
October 2024:
SIAM TX–LA 2024 , Baylor University, Waco, TX
Co-organized minisymposium
MS34: Advances in Numerical Methods for
Electromagnetism
March 2024:
Finite Element Rodeo 2024 , Rice University, Houston, TX
November 2023:
SIAM TX–LA 2023 , University of Louisiana at Lafayette, Lafayette, LA
Co-organized minisymposium
MS04: Recent developments in electromagnetics and related
eigenvalue problems
May 2023:
Frontiers of Numerical PDEs , Brin Mathematics Research Center, University of Maryland, College
Park, MD
March 2023:
Finite Element Rodeo 2023 , Texas A&M University, College Station, TX
November 2022:
SIAM TX–LA 2022 , University of Houston, Houston, TX
Teaching
Fall 2025:
Principles of Numerical Analysis
(MATH 437, 8 students), Texas A&M University
Teaching assistant
Undergraduate level course covering mathematical principles of
numerical analysis and their application to the study of
particular methods; fixed-point iteration, Newton's method;
normed vector spaces and operators, Schur decomposition,
convergent matrices, minimization methods, conjugate gradient
method; polynomial interpolation of Lagrange and Hermite; best
approximation, Bernstein and Weierstrass Theorems, numerical
quadrature.
Fall 2024:
Engineering Mathematics II
(MATH 152, 100 students), Texas A&M University
Teaching assistant
Undergraduate level course covering differentiation and
integration techniques and their applications (area, volumes,
work), improper integrals, approximate integration, analytic
geometry, vectors, infinite series, power series, Taylor series,
computer algebra.
Spring 2024:
Numerical Partial Differential Equations
(MATH 610, 10 students), Texas A&M University
Teaching assistant
Graduate level introduction to finite difference and finite
element methods for solving partial differential equations;
stability and convergence of methods and error bounds.
Fall 2022:
Numerical Partial Differential Equations
(MATH 610, 8 students), Texas A&M University
Spring 2022:
Numerical Partial Differential Equations
(MATH 610, 7 students), Texas A&M University
Fall 2021:
Functions, Trigonometry, and Linear Systems
(MATH 150, 100 students), Texas A&M University
Teaching assistant
Undergraduate level course covering functions, trigonometry,
linear systems, graphs, college algebra, and vectors.
Programming, Software, and Operating System Experience
Python, MATLAB, Julia, C++, LaTeX, HTML, CSS, GNU/Linux, ParaView,
VTK, MPI