Luke Oeding
Assistant Professor

Research Areas - Algebra

Office: 336 Parker Hall

221 Parker Hall
Auburn, AL 36849-5310

Phone: (334) 844-3645
Fax: (334) 844-6555

Lab/Research Page


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

Professional Employment

Assistant Professor, Department of Mathematics and Statistics, Auburn University 2013 - present
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 Signal Processing, Algebraic Statistics, Computer Vision, and Computational Complexi

Selected Publications

  1. M. Bremner, J. Hu and L. Oeding, The 3×3×3 hyperdeterminant as a polynomial in the fundamental invariants for SL3()×SL3()×SL3(), to appear in Mathematics in Computer Science (Special Issue on Computational Algebraic Geometry), arXiv:1310.3257.
  2. E. Carlini, N. Grieve and L. Oeding, Four lectures on secant varieties,Workshop on Connections Between Algebra and Geometry, Summer 2012, to appear in PROMS (Springer Proceedings in Mathematics & Statistics), Springer/Birkhauser, arxiv:1309.4145
  3. C. Aholt and L. Oeding, The ideal of the trifocal variety, accepted Mathematics of Computation (2013), arXiv:1205.3776.
  4. L. Oeding and G. Ottaviani, Eigenvectors of tensors and algorithms for Waring decomposition, Journal of Symbolic Computation 54 (2013), 9–35, arXiv:1103.0203.
  5. L. Oeding, Hyperdeterminants of polynomials, Advances in Mathematics 231 (2012), no. 3-4, 1308–1326, arXiv:1107.4659. D. Cartwright, D. Erman, and L. Oeding, Secant varieties of P 2 × P n embedded by O(1,2), Journal of the London Mathematical Society 85 (2012), no. 1, 121-141, arXiv:1009.1199.

Last updated: 08/12/2015