Research
Publications
- S. Du, T. Le, and S. N. Stechmann, Element learning with hp-adaptivity: Machine learning-based acceleration of hp-adaptive spectral element methods, and application to atmospheric radiative transfer (submitted, 2026).
- T. Le and D.-L. Nguyen, On orthogonality sampling method for Maxwell’s equations and its applications to experimental data, Philosophical Transactions of the Royal Society A 383 (2025), 20240051.
- I. Harris, T. Le, D.-L. Nguyen, A direct reconstruction method for radiating sources in Maxwell’s equations with single-frequency data, Inverse Problems 41 (2025), 015003.
- I. Harris, T. Le, D.-L. Nguyen, On reconstruction of small sources from Cauchy data at a fixed frequency, Applied Mathematics Letters 145 (2023), 108765.
- T. Le, D.-L. Nguyen, V. Nguyen, T. Truong, Sampling-type method combined with deep learning for inverse scattering with one incident wave, AMS Contemporary Mathematics 784 (2023), 63–80.
- T. Le, D.-L. Nguyen, H. Schmidt, T. Truong, Imaging of 3D objects with experimental data using orthogonality sampling method, Inverse Problems 38 (2022), 025007.
- In Preparation:
- S. Du, T. Le, and S. N. Stechmann, A second scaling regime and the curse of dimensionality in high-dimensional function approximation.
- T. Le and D.-L. Nguyen, Imaging functions and polarization recovery for an elastic inverse source problem.
- T. Le, D.-L. Nguyen, N. Nguyen, and H. Nguyen, Spectral-based learning for elastic source imaging.
Conference, Workshop and Seminar Talks
Invited Talks
- November 2026: AMS Fall Western Sectional Meeting, Special Session, Arizona State University, Arizona.
- October 2026: Department of Mathematics Colloquium, California State University, Long Beach, California.
- October 2026: 9th Annual Meeting of the SIAM Texas–Louisiana Section, Mini-Symposium, Southern Methodist University, Texas.
- September 2026: Great Lakes SIAM Sectional Meeting, Mini-Symposium, Purdue University, Indiana.
- August 2026: 7th AMMCS International Conference, Special Session, Wilfrid Laurier University, Waterloo, Canada.
- October 2025: 3rd Annual Meeting of SIAM NY–NJ–PA, Mini-Symposium, Pennsylvania State University in State College, Pennsylvania.
- October 2025: 10th Annual Meeting of SIAM Central States Section, Mini-Symposium, University of Arkansas, Arkansas.
- September 2025: Fluid Mechanics and Waves Seminar, New Jersey Institute of Technology, Online.
- March 2025: SIAM Conference on Computational Science and Engineering, Mini-Symposium, Fort Worth, Texas.
- February 2025: Spectral and Scattering Theory Seminar, Purdue University, Indiana.
- October 2024: 9th Annual Meeting of SIAM Central States Section, Mini-Symposium, University of Missouri–Kansas City, Missouri.
- September 2024: PDEs Analysis Geometric Seminar, University of Wisconsin–Madison, Wisconsin.
- October 2023: 1st Annual Meeting of SIAM NY–NJ–PA, Mini-Symposium, New Jersey Institute of Technology, New Jersey.
- October 2023: 8th Annual Meeting of SIAM Central States Section, Mini-Symposium, University of Nebraska–Lincoln, Nebraska.
- March 2023: Trojan Virtual Math Seminar, Troy University, Alabama.
- October 2022: 7th Annual Meeting of SIAM Central States Section, Mini-Symposium, Oklahoma State University, Oklahoma.
- April 2022: Applied Mathematics Seminar, Kansas State University, Kansas.
- January 2022: ICASM 2022 Virtual Workshop, University of Economics at Ho Chi Minh City, Vietnam.
- October 2021: Midwest Numerical Analysis Day, Parallel Session, Missouri University of Science and Technology, Missouri.
- October 2021: AMS Virtual Fall Western Sectional Meeting, Special Session.
- October 2021: 6th Annual Virtual Meeting of SIAM Central States Section, Mini-Symposium.
- September 2021: SIAM Southeastern Atlantic Section Conference, Mini-Symposium, Auburn University, Alabama.
- April 2021: Analysis Seminar, Kansas State University, Kansas.
- March 2021: “Small Talks Big Ideas,” Association of Pure and Applied Mathematics, Kansas State University, Kansas.
- March 2021: AMS Virtual Spring Southeastern Sectional Meeting, Special Session.
- November 2020: Applied Mathematics Seminar, Kansas State University, Kansas.
Contributed Talks
- August 2026: Scientific Machine Learning for Plasma Simulation Workshop, University of Wisconsin–Madison, Wisconsin.
- January 2024: Joint Mathematics Meetings 2024, Special Session, San Francisco.
- November 2023: 2023 Southeastern-Atlantic Regional Conference on Differential Equations, Florida A&M University.
- June 2023: UNC Greensboro Virtual PDEs Conference, Parallel Session, University of North Carolina at Greensboro (also served as Session Chair).
- November 2021: 17th Prairie Analysis Seminar, Parallel Session, Kansas State University, Kansas.
Poster Presentations
- August 2026: AMS Madison Summit, 17th Conference on Atmospheric Radiation, Madison, Wisconsin.
- May 2023: 18th Annual Conference on Frontiers in Applied and Computational Mathematics, New Jersey Institute of Technology, New Jersey.
- October 2022: Prairie Analysis Seminar, University of Kansas, Kansas.
- March 2022: KU Numerical Analysis Day Conference, University of Kansas, Kansas.
Conferences Organized
- Mini-Symposium on Advances in Applied Inverse Problems and Imaging at the 10th Annual Meeting of the SIAM Central States Section, University of Arkansas, Arkansas, October 2025.
- Mini-Symposium on Recent Progress in Applied Inverse Problems and Imaging at the 9th Annual Meeting of SIAM Central States Section, University of Missouri–Kansas City, Missouri, October 2024.
Reviewer Activities
- Inverse Problems
- Inverse Problems and Imaging
- Mathematical Reviews/MathSciNet