Luke Oeding, PhD
Short Bio
Dr. Oeding received his PhD from Texas A&M in 2009, and held NSF postdoctoral positions at the University of Florence, Italy, and the University of California, Berkeley, before joining Auburn in 2013. His recent research has focused on developing tools from representation theory and nonlinear algebra, focusing on their uses in quantum information theory, collaborative navigation, and computer vision. He has given more than 150 invited presentations on his research at universities and research labs all over the world.
Education
PhD, Mathematics Texas A&M University 2009
BA, Mathematics and Physics Franklin & Marshall College 2003
Professional Experience
EMPLOYMENT
| 2026- | Professor, Auburn University2018-2026 Associate Professor, Auburn University |
| 2019-2020 | Associate Chair and Undergraduate Program Officer, Auburn University |
| 2013-2018 | Assistant Professor, Auburn University |
| 2011-2013 | NSF RTG Visiting Assistant Professor, University of California, Berkeley Mentor: Professor Bernd Sturmfels |
| 2009-2011 | NSF International Research Fellowship Program, University of Florence Mentor: Professor Giorgio Ottaviani |
VISITING APPOINTMENTS
| Summer 2025, Summer 2024 |
Department of the Air Force Summer Faculty Fellowship Program (SFFP), AFRL-Munitions, Ft. Walton Beach, FL |
| Summer 2023 | CNRS, ICB Laboratory "Laboratoire Interdisciplinaire Carnot de Bourgogne," University of Burgundy |
| Spring 2021 | Institute for Pure & Applied Mathematics (IPAM) at UCLA, Los Angeles, CA |
| Fall 2018 | Institute of Mathematics, Polish Academy of Sciences (IMPAN), Warsaw, Poland |
| Summer 2018 | University of Belfort-Montbelliard, France |
| Fall 2014 | Simons Institute for the Theory of Computing, Berkeley, CA |
| Summer 2014 | National Institute for the Mathematical Sciences (NIMS), Daejeon, S. Korea |
| April 2011 | Mittag-Leffler Institute, Stockholm, Sweden |
EDUCATION
| 2009 | Ph.D. Texas A&M University, College Station, TX Advisor: Dr. Joseph M. Landsberg Dissertation: G-varieties and the principal minors of symmetric matrices |
| 2003 | B.A. Franklin & Marshall College, Lancaster, PA Advisor: Dr. Calvin Stubbins Honors Thesis: Phase space quantum mechanics |
Innovation
Applications of Algebraic Geometry and Representation Theory to the theory of Tensors, Quantum Information, Computer Vision, Collaborative Navigation, Signal Processing, Algebraic Statistics, and Foundations of Machine Learning / Artificial Intelligence.
Service
Dr. Oeding served as the president of Auburn's chapter of the American Association of University Professors (AAUP), 2023-2025. He has also held service roles with the Society for Industrial and Applied Mathematics (SIAM), American Mathematical Society (AMS).
