Roberto Hernández Palomares

Researcher in quantum symmetires in mathematics

Office: Blocker Building, 510J

e-mail: robertohp (dot) math (at) gmail (dot) com

		About me: I am a postdoc at Texas A&M University, Department of Mathematics My research mentor is Eric Rowell I received my PhD degree from OSU in 2021.

• 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 (Last updated: 17 May 2022)

• My publications on the arXiv

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

• My Google Scholar site

Publications and preprints:

• K-theoretic classification of inductive limit actions of fusion categories on AF-algebras arXiv: 2207.11854
• Q-system completion for C* 2-categories J. Func. Analysis DOI 10.1016/j.jfa.2022.109524, arXiv: 2105.12010
• 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):

• 2022
• K-theoretic classification of inductive limit actions of fusion categories on AF-algebras, Functional Analysis Seminar, University of Ofxord Mathematical Institute Abstract (4 Aug 2022)
• K-theoretic classification of inductive limit actions of fusion categories on AF-algebras, Operator Algebras: Subfactors, K-theory and CFT: David Evans 70th Birthday Program and slides (1 Aug 2022)
• Q-systems and higher unitary idempotent completion for C*-algebras, QGSQuantum Groups Seminar (27 Jun 2022)
• Qué son los espacios no-conmutativos y sus simetrías cuánticas, Coloquio FMAT-CIMAT, Yucatán, México (18 Mayo 2022)
• Q-System Completion for C*-algebras, JMM 2022, Skein Theory and Quantum Algebra (7th April 2022)
• Simetrías cuánticas y espacios cuánticos Universidad de Guanajuato, Seminario Jr. de estudiantes (23rd Mar 2022)
• Applications of subfactor and categorical techniques to C*-algebras, Arizona State University, ASUERAU C*-Seminar (9th Feb 2022)
• Q-systems and higher unitary idempotent completion for C*-algebras, University of Waterloo, Analysis Seminar (2nd Feb 2022)
• Applications of subfactor and categorical techniques to C*-algebras, Mathematical Institute, University of Oxford, Functional Analysis Seminar (28th Jan 2022)
• 2021
• Q-systems and higher idempotent completion for C* 2-categories, Algebra and Combinatorics Seminar, Texas A&M University (8 Oct 2021)
• Q-system completion for C*-Algebras, YMC*A 2021, slides (13 Aug 2021)
• C*-algebras, right correspondences, and Q-systems, GPOTS 2021, notes (10 May 2021)
• UNAM: Seminario de categorias: Actions of unitary tensor categories on C*-algebras, (27 Jan 2021) notes , video (17 March 2021)
• IPAM: Actions of Tensor Categories on C*-algebras: Actions of unitary tensor categories on GJS C*-algebras, slides , (27 Jan 2021)
• Joint Mathematics Meeting 2021: Advances in Operator Algebras: Representations of unitary categories on C*-algebras (7 Jan 2021)
• Joint Mathematics Meeting 2021: Hopf Algebrasand Tensor Categories: Classification of module categories for generalized TLJ *-2-categories (6 Jan 2021)
• 2020
• Texas A&M, Brazos Analysis Seminar: Realizing unitary tensor categories as bimodules over GJS C*-algebras and Hilbertification (7 Nov 2020) Abstract
• Indiana University Bloomington, Algebra Seminar: Classifying unitary modules for generalized TLJ *-2-categories (16 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