Jordan N. Hoffart's Curriculum Vitae
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
Posters and Presentations
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 , 5th Annual Meeting of the SIAM TX-LA Section, University of Houston,
4800 Calhoun Rd, Houston, TX, USA
Service and Outreach
Fall 2023 - Present: Vice President of the
student SIAM chapter at Texas A&M University
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
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:
5th Annual Meeting of the SIAM TX-LA Section , University of Houston, Houston, TX
Teaching
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