Luke Oeding headshot
Luke Oeding
Department of Mathematics and Statistics
Associate Professor

Research Areas: Algebra

Office: 336 Parker Hall

Address: 221 Parker Hall
Auburn, AL 36849-5310

Phone: (334) 844-3645

Fax: (334) 844-6555

Email: oeding@auburn.edu

Website


Education
Ph.D., Texas A&M University
May 2009
B.A., Franklin & Marshall College
May 2003


Professional Employment
Associate Professor, Department of Mathematics and Statistics, Auburn University
2018 - present
Assistant Professor, Department of Mathematics and Statistics, Auburn University
2013 - 2018
RTG Postdoctoral Fellow, University of California, Berkeley
2011 - 2013
NSF International Research Fellowship Program, University of Florence
2009 - 2011


Research and Teaching Interests

Applications of Algebraic Geometry and Representation Theory to Quantum Information, Computer Vision, and Computational Complexity


Selected Publications

1.   L. Oeding, ExteriorExtensions: a package for Macaulay2, Journal of Software for Algebra and Geometry, 15- (2025), 69—80, arXiv:2312.11368.

2.   L. Oeding and I. Tan, Four-qubit critical states, Journal of Physics A: Mathematical and Theoretical, 58, No. 26 (2025), arXiv:2410.08317.

3.   L. Oeding and I. Tan, Tensor decompositions with applications to LU and SLOCC equivalence of multipartite pure states, SIAM Journal on Applied Algebraic Geometry, 9 (2025) no. 1, pp. 33-57, arXiv:2402.12542.

4.   F. Holweck, L. Oeding, Toward Jordan decompositions for tensors, Journal of Computational Science, 82, (2024), arXiv:2206.13662.

5.     H. Jaffali, F. Holweck, L. Oeding, Maximally entangled real states and SLOCC invariants: the 3-qutrit case, Journal of Physics A: Mathematical and Theoretical, 57 (2024), no. 14, arXiv: 2307.00970.

6.     F. Holweck, L. Oeding, A hyperdeterminant on Fermionic Fock space, Annales de l'Institut Henri Poincaré D: Combinatorics, Physics and their Interactions (online 2024), arXiv:2301.10660.

7.     Petr Hruby, Viktor Korotynskiy, Timothy Duff, Luke Oeding, Marc Pollefeys, Tomas Pajdla, Viktor Larsson, Four-view geometry with unknown radial distortion, Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), 2023, pp. 8990-9000.

8.     D. Bidleman, L. Oeding, Restricted secant varieties of Grassmannians, Collectanea Mathematica 75 (2024), arXiv:2211.01469.

 






Last updated: 10/30/2025