Research

I am currently a visiting assistant professor at Bucknell University. I previously held a postdoctoral position at Louisiana State University where I studied the mathematics of quantum information theory with Mark Wilde and the rest of the Quantum Science and Technology Group. I am interested in how ideas from functional analysis can be applied to problems in quantum information. I am also interested in operator algebras and how ideas from harmonic analysis on groups can be extended to locally compact quantum groups.

Before coming to Baton Rouge, I was a postdoc in the Mathematics Department of Universidad Complutense de Madrid, working with the Mathematics and Quantum Information research group lead by David Perez Garcia.

I received my Ph.D. in Mathematics from the University of Illinois at Urbana-Champaign. My thesis advisor was Professor Zhong-Jin Ruan and my thesis title was "Noncommutative Lp-spaces Associated with Locally Compact Quantum Groups". This involved studying the interaction between the quantum group and the structure of the noncommutative Lp-space constructed using the Haar weight.

You can see my Google Scholar profile at this link.

Research Interests:

    • Functional analysis,
    • Operator algebras,
    • Operator spaces,
    • Locally compact quantum groups,
    • Noncommutative Lp spaces,
    • Quantum information theory,
    • Quantum game theory,
    • Quantum many-body systems.

Publications

Available at: http://www.ideals.illinois.edu/handle/2142/16895