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

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

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

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

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

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 - 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

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: 5th Annual Meeting of the SIAM TX-LA Section, University of Houston, Houston, TX

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
- Teaching assistant
Spring 2022: Numerical Partial Differential Equations (MATH 610, 7 students), Texas A&M University
- Teaching assistant
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.