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



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. F. Holweck, L. Oeding, Hyperdeterminants from the E8 Discriminant, Journal of Algebra 593 (2022), Pages 622-650, arXiv:1810:05857.

2. Michael C. Hamilton, Ran Cheng, Uday S Goteti, Harrison Walker, Keith M Krause, and Luke Oeding, Towards Learning in Neuromorphic Circuits Based on Quantum Phase Slip Junctions, Frontiers in Neuroscience - Neural Technology 15, (2021).

3. H. Jaffali, L. Oeding, Learning Algebraic Models of Entanglement, Quantum Information Processing 19, 279 (2020), arXiv:1908:10247.

4. L. Oeding, C. Raicu, S. V Sam, On the (non-)vanishing of syzygies of Segre embeddings, Algebraic Geometry 6 (5) (2019) 571--591, doi:10.14231/AG-2019-026, arXiv: 1708.03803.

5. L. Oeding and H. Huang, Symmetrization of principal minors, Linear and Multilinear Algebra, (2016), 26 pages, arXiv:1510.02515.

6. L. Oeding, The Quadrifocal Variety, Linear Algebra and its Applications, Volume 512, 1 January 2017, Pages 306-330, arXiv:1501.01266.

7. J. Hauenstein, L. Oeding, G. Ottaviani and A. Sommese, Homotopy techniques for tensor decomposition and perfect Identifiability, J. Reine Angew. Math. (Crelle's Journal), Volume 2019, Issue 753, pages 1-22, arXiv:1501.00090.

8. L. Oeding, E. Robeva, and B. Sturmfels, Decomposing Tensors into Frames, Advances in Applied Mathematics 73 (2016) 125-153, arXiv:1504.08049.

Last updated: 08/09/2023