Roberto Hernández Palomares

PhD student of mathematics at The Ohio State University

Office: 200 Math Tower

e-mail: hernandezpalomares (dot) 1 (at) osu (dot) edu

		About me: I am on the postdoc job market 2020-2021. I am working on my doctoral dissertation under the supervision of Prof. David Penneys. I received my masters degree from OSU on 2018.

• I study quantum symmetries via unitary tensor categories, C*-algebras, and subfactors, in the disciplines of operator algebras, category theory, and quantum algebra.

• Quantum symmetries is an interdisciplinary branch of mathematical physics that intersects fields such as non-commutative geometry, quantum groups and topology, with applications in conformal and topological quantum field theory, quantum information, and theoretical condensed matter physics.

• Copy of my CV/Resume (Oct 2020)

• My publications on the arXiv

• I am the organizer of the inter-university Quantum Symmetries Student Seminar (QSSS)

Publications and preprints:

• Realizations of Rigid C*-Tensor Categories over GJS C*-algebras J. Math. Phys. DOI: 10.1063/5.0015294, , arXiv: 2005.09821 preprint
• Classifying module categories for generalized Temperley–Lieb–Jones ∗-2-categories Int. J. of Math. DOI: 10.1142/S0129167X20500275, arXiv: 1905.00471
• Geometric Measure of Arens Irregularity Preprint

Conferences and talks (Future and Past):

• 2021
• Joint Mathematics Meeting 2021: Advances in Operator Algebras: Representations of unitary categories on C*-algebras (Jan 7th)
• Joint Mathematics Meeting 2021: Hopf Algebrasand Tensor Categories: Classification of module categories for generalized TLJ *-2-categories (Jan 6th)
• 2020
• Texas A&M, Brazos Analysis Seminar: Realizing unitary tensor categories as bimodules over GJS C*-algebras and Hilbertification (Nov 7th) Abstract
• Indiana University Bloomington, Algebra Seminar: Classifying unitary modules for generalized TLJ *-2-categories (To be confirmed Nov 2020)
• Vanderbilt University, Subfactor Seminar: Representations of RC*TC over GJS C*-algebras Abstract
• OSU NCGOA seminar: Constructing the Jiang-Su algebra
• OSU-Ox:Realizations of RC*TC over GJS C*-algebras and Hilbertification Slides
• OSU Hayes Graduate Forum: Quantum symmetries of quantum spaces. Poster
• 2019
• QUASY-CON 2019. Realizing rigid C*-tensor categories as bimodules over C*-algebras. abstract slides
• Research school on quantum symmetries. Classifying Module Categories for Generalized Temperley-Lieb-Jones *-2-Categories Poster
• 2018
• OSU: NCGOA Seminar. Geometric measure of Arens Irregularity Abstract
• OSU: NCGOA Seminar. There exists a unique separable hyperfinite II1 factor Abstract
• 2017
• OSU: Quantum Algebra & Quantum Topology Seminar. Jones’ Index Rigidity Theorem Abstract
• OSU: Quantum Algebra & Quantum Topology Seminar. Jones’ Index Rigidity Theorem pt. II Abstract
• 2014
• Fields Institute: Undergraduate Summer Research Program 2014 Geometric Measure of Arens Irregularity Slides