Roberto Hernández Palomares
Researcher in quantum symmetires in mathematics
Office: TBD
email: robertohp (dot) math (at) gmail (dot) com

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 noncommutative 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: 20 Dec 2022)



Publications and preprints:

Dynein localization and pronuclear movement in the C. elegans zygote, Cytoskeleton https://doi.org/10.1002/cm.21733 , with D. A. Dawes, J. Henry, Ignacio, and N. Kravtsova

Ktheoretic classification of inductive limit actions of fusion categories on AFalgebras arXiv: 2207.11854 , with Q. Chen and C. Jones

Qsystem completion for C* 2categories J. Func. Analysis DOI 10.1016/j.jfa.2022.109524, arXiv: 2105.12010 , with Q. Chen, D. Penneys and C. Jones

Realizations of Rigid C*Tensor Categories over GJS C*algebras J. Math. Phys. DOI: 10.1063/5.0015294, , arXiv: 2005.09821 preprint , with M. Hartglass

Classifying module categories for generalized Temperley–Lieb–Jones ∗2categories Int. J. of Math. DOI: 10.1142/S0129167X20500275, arXiv: 1905.00471 with G. Ferrer

Geometric Measure of Arens Irregularity Preprint , with E. Hu, G. Maierhofer, and P. Rao
Conferences and talks (Future and Past):
 2023

Minicourse Speaker: actions of tensor categories on operator algebras, Twinned Conference on C*Algebras and Tensor Categories, The Fields Institute, Canada Website (Nov 2023)
 2022

Quantum symmetries for operator algebras, PolishGerman seminar on quantum groups, graphs and symmetries via representation theory, Saarbrucken Univeristy, Germany Abstract (24 Nov 2022)

Discrete inclusions of C*algebras, Quantum Symmetries Seminar, Ohio State University Mathematics, Columbus, OH USA Abstract (22 Nov 2022)

Unitary tensor categories and their actions, Malý Seminar, Karlin Univeristy, Prague, Czech Republic (4 Nov 2022)

Ktheoretic classification of inductive limit actions of fusion categories on AFalgebras, NCG&T Seminar, Institute of Mathematics of the Czech Academy of Sciences, Prague, Czech Republic Abstract (1 Nov 2022)

Ktheoretic classification of inductive limit actions of fusion categories on AFalgebras, Operator algebras Seminar, Mathematics KU Leuven, Belgium Abstract (14 Oct 2022)

Ktheoretic classification of inductive limit actions of fusion categories on AFalgebras, Functional Analysis Seminar, University of Ofxord Mathematical Institute Abstract (4 Aug 2022)

Ktheoretic classification of inductive limit actions of fusion categories on AFalgebras, Operator Algebras: Subfactors, Ktheory and CFT: David Evans 70th Birthday Program and slides (1 Aug 2022)
 2021

Qsystems and higher idempotent completion for C* 2categories, Algebra and Combinatorics Seminar, Texas A&M University (8 Oct 2021)

Qsystem completion for C*Algebras, YMC*A 2021, slides (13 Aug 2021)

C*algebras, right correspondences, and Qsystems, 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 *2categories (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 *2categories (16 Nov 2020)

Vanderbilt University, Subfactor Seminar: Representations of RC*TC over GJS C*algebras Abstract

OSU NCGOA seminar: Constructing the JiangSu algebra

OSUOx:Realizations of RC*TC over GJS C*algebras and Hilbertification Slides

OSU Hayes Graduate Forum: Quantum symmetries of quantum spaces. Poster
 2019
 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