Research Interests
My current research interests are in algebra, with applications in classical and quantum coding theory. More specifically, I am interested in:
  • General Algebra
    • Finite modules. Finite commutative and non-commutative rings
    • Frobenius rings and modules
    • Representation Theory of finite groups
    • Algebraic/arithmetic geometry
  • Algebraic Coding Theory
    • Linear codes over rings and modules
    • Isometries of codes with respect to various weights
    • Self-orthogonal codes
  • Quantum Information Theory
    • Quantum error-correction
    • Quantum stabilizer codes
    • Symplectic isometries of quantum codes
    • Post quantum cryptography

Publications and Preprints
  • Laplacian Simplices II: A Coding Theoretic Approach (with Marie Meyer)
    Submitted [arXiv] [Show Abstract]
  • On quantum stabilizer codes derived from local Frobenius rings (with Heide Gluesing-Luerssen)
    Submitted [arXiv] [Show Abstract]
  • Symplectic Isometries of Stabilizer Codes
    To appear in Journal of Algebra and its Applications
    [arXiv] [Show Abstract]
  • Extension theorems for various weight functions over Frobenius bimodules (with Heide Gluesing-Luerssen)
    Journal of Algebra and its Applications 17(3):1850052, 2018 (28 pages)
    [Journal] [arXiv] [Show Abstract]

Lecture Notes/Slides/Posters
  • January 9, 2019:, Thesis Defense, University of Kentucky - Slides
  • November 13, 2018: Nonlinear Algebra in Applications, ICERM, Brown University - Poster
  • October 20, 2018: AMS Sectional Meetings, University of Michigan - Slides
  • August 31, 2018: CIMPA Research School, Middle East Technical University, Ankara, Turkey - Slides
  • July 22, 2018: Fourier Analysis on Finte Abealian Groups and Applications - Lecture Notes
  • May 19, 2018: 30th Cumberland Conference, Marshall University - Slides
  • March 18, 2018: AMS Sectional Meetings, Ohio State University - Slides
  • January 12, 2018: Joint Mathematics Meetings - Slides
  • October 4, 2015: AMS Sectional Meetings, Loyola University Chicago - Slides