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Expertise
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Work
Work
With Frédéric Latrémolière, Quantum Ultrametrics on AF algebras and the Gromov-Hausdorff propinquity. Studia Mathematica 231 (2015) 2, pp. 149-193, ArXiv: 1511.07114.
Fell topologies for AF-algebras and the quantum propinquity. Journal of Operator Theory 82 (2019), no. 2, 469--514, ArXiv: 1608.07016.
With Frédéric Latrémolière, Some applications of conditional expectations to convergence for the quantum Gromov-Hausdorff propinquity. 12 pages, (Accepted 2018) to appear in Banach Center Publications, ArXiv: 1708.00595.
With Tristan Bice, Standard Homogeneous C*-algebras as compact quantum metric spaces. 32 pages, (Accepted 2018) to appear in Banach Center Publications, ArXiv: 1711.08846.
With Samantha Brooker, Quantum metrics from traces on full matrix algebras. Involve 12 (2019), no.2, 329--342, ArXiv: 1906.09728.
With Jens Kaad, The Podleś sphere as a spectral metric space. Journal of Geometry and Physics 133 (2018), 260--278. ArXiv: 1803.03027.
Inductive limits of C*-algebras and compact quantum metric spaces. 24 pages, (Accepted 2019) to appear in Journal of The Australian Mathematical Society, ArXiv: 1807.10424.
With Alejandra López, A quantum metric on the Cantor space. 22 pages, submitted, ArXiv: 1907.05835.
Quantum metrics on the tensor product of a commutative C*-algebra and an AF C*-algebra. 31 pages, submitted, ArXiv: 1907.07357.
With Frédéric Latrémolière and Timothy Rainone. Bunce-Deddens algebras as quantum Gromov-Hausdorff distance limits of circle algebras. 37 pages, submitted, ArXiv: 2008.07676.
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Education
Education
Ph.D. in Mathematics
University of DenverM.S. in Mathematics
University of DenverB.S. in Applied Mathematics
California State Polytechnic University, Pomona -
Awards & Honors
Awards & Honors
Mathematical Association of America (MAA) Project NExT fellow, 2021-2022
American Mathematical Society and Simons Foundation (AMS-Simons) Travel Grant recipient, 2019-2022