Research and presentations

Publications

  1. Quantum hypergraph homomorphisms and non-local games, joint with Ivan G. Todorov, Dissertationes Mathematicae, vol. 588, pp. 1-54, 2023.
  2. On the geometry of numerical ranges over finite fields, joint with Kristen Camenga, Brandon Collins, Patrick Rault, Jonny Quezada, James Willson, and Rebekah Yates, Linear Algebra and its Applications, vol. 628, pp. 182-201, 2021.

Submitted

  1. Homomorphisms of quantum hypergraphs, joint with Ivan G. Todorov, preprint, arXiv: 2311.06355

Preprints/in preparation

  1. Transfer of quantum game values, preprint.

Invited talks

  • “Quantum resources and information transmission”, UNO X-Math Conference 2023, Omaha, Nebraska, December 2023
  • “Classical and quantum hypergraphs and their homomorphisms”, Workshop on Operator Algebras and Quantum Information, Newark, Delaware, May 2023
  • “Quantum hypergraph homomorphisms and applications to non-local games”, Functional Analysis and Operator Algebras in Greece, Athens, Greece (online), February 2023
  • “Non-local games and operator algebras”, UNO X-Math Conference 2022, Omaha, Nebraska, December 2022
  • “Quantum hypergraph homomorphisms and operator algebras”, Inverse Problems and Analysis Seminar, Newark, Delaware, October 2022

Contributed talks

  • “Classical and quantized hypergraphs and their homomorphisms”, Analytical and Combinatorial Methods in Quantum Information Theory II, ICMS, Edinburgh, Scotland, July 2023
  • “Quantum hypergraph homomorphisms and operator algebras”, Banach Algebras and Applications, Granada, Spain, July 2022
  • “What is the boundary of a finite field numerical range?”, MAA Student Session, JMM, (online), January 2021

Expository talks/other presentations

  • “Operator algebras and connections to non-local games”, Hallenbeck Graduate Student Seminar, Delaware, October 2023
  • “Quantum chromatic numbers of graphs: connections to C*-algebras”, Hallenbeck Graduate Student Seminar, Delaware, May 2022
  • “All about pursuing a PhD in mathematics”, University of Nebraska Omaha Mathematics Colloquium, (online), September 2021
  • “Partial order games”, University of Delaware GEMS Colloquium, Newark, Delaware (online), July 2021
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