Papers and Preprints:
"Real operator systems," with D. Blecher. Preprint 2025. arXiv
"Operator system characterizations of SIC-POVMs and mutually unbiased bases." Preprint 2024. arXiv
"Operator systems generated by projections," with R. Araiza. International Mathematics Research Notices (to appear). arXiv
"A public key cryptosystem based on quantum stabilizer codes," with L. Beshaj. Mathematical Cryptology, vol. 2, no. 1, pp 108-122, Oct. 2022. Link
"Synchronous values of games," with J. W. Helton, H. Mousavi, S. S. Nezhadi and V. I. Paulsen. Annales Henri Poincare (2024). arXiv, DOI
"Matricial Archimedean order unit spaces and quantum correlations," with R. Araiza and M. Tomforde. Indiana University Journal of Mathematics, vol 72, no. 6, pp. 2567-2591 (2023). arXiv
"A synchronous NPA hierarchy with applications." Operators and Matrices, vol. 70, no. 4, pp. 901-924 (2023). arXiv
"A universal representation for quantum commuting correlations," with R. Araiza and M. Tomforde. Annales Henri Poincare 23 (2022) 4489-4520. arXiv, DOI
"An abstract characterization for projections in operator systems," with R. Araiza. Journal of Operator Theory, vol 90, no. 1 (2023), pp. 41-72. arXiv
"No quantum Ramsey theorem for stabilizer codes," with Y. Bousba. IEEE Transactions on Information Theory, vol. 67, no. 1, pp. 408-415, Jan. 2021. arXiv, DOI
"Two-outcome synchronous correlation sets and Connes' embedding problem." Quantum Information and Computation, Vol. 20, No. 5&6 (2020) 0361–0374. arXiv, DOI
"Geometry of the set of synchronous quantum correlations." Journal of Mathematical Physics 61 052201 (2020). arXiv, DOI
"Numerical semigroups and Kunz polytopes." Joint work with E. Alhajjar and M. Steward. Semigroup Forum 99(1) (2019) 153-168. DOI
"Maximally entangled correlation sets." Joint work with E. Alhajjar. Houston Journal of Mathematics 46(2) (2020) 357-376. arXiv, Link
"Characterizations of ordered operator spaces." Journal of Mathematical Analysis and Applications 452 (2017) 91-108. arXiv, DOI
"Characterizations of ordered self-adjoint operator spaces." Complex Analysis and Operator Theory 17, 12 (2023). arXiv , DOI
Conference Proceedings:
"Identifying Indicators of Bias in Data Analysis Using Proportionality and Separability Metrics", with M. Schneider, J. Grinsell, R. Hickman and R. Thomson. Proceedings of the SBP-BRiMS Annual conference, (July 2019). Link
"A Case Study Of The Noordin Network", with E. Alhajjar. Proceedings of the SBP-BRiMS Annual conference, (July 2019). Link
"Condorcet clustering with Delaunay triangulation: climate zones and world happiness insights." Joint work with M. Bassett, B. Newton, J. Schlessinger, J. Schmidt, S. Lynch, P. Kuiper, R. Miller, S. Morse, J. Pleuss, and W. Pulleyblank. In: Social, Cultural, and Behavioral Modeling. SBP-BRiMS 2019. Lecture Notes in Computer Science, vol 11549. Springer, Cham. (July 2019). DOI
"Predicting bias in machine learned classifiers using clustering." Joint work with E. Alhajjar, J. Irwin and R. Thomson. Proceedings of the SBP-BRiMS Annual conference, (July 2018). Link
Book Chapter:
"Quantum Theory" in Mathematics in Cyber Research, CRC Press. Link
Talks: