Roberto Hernández Palomares
Researcher in quantum symmetires in mathematics
Office: TBD
e-mail: robertohp (dot) math (at) gmail (dot) com
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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.
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Copy of my CV/Resume (Last updated: 20 Dec 2022)
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Publications and preprints:
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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
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K-theoretic classification of inductive limit actions of fusion categories on AF-algebras arXiv: 2207.11854 , with Q. Chen and C. Jones
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Q-system completion for C* 2-categories J. Func. Analysis DOI 10.1016/j.jfa.2022.109524, arXiv: 2105.12010 , with Q. Chen, D. Penneys and C. Jones
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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
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Classifying module categories for generalized Temperley–Lieb–Jones ∗-2-categories Int. J. of Math. DOI: 10.1142/S0129167X20500275, arXiv: 1905.00471 with G. Ferrer
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Geometric Measure of Arens Irregularity Preprint , with E. Hu, G. Maierhofer, and P. Rao
Conferences and talks (Future and Past):
- 2023
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Mini-course Speaker: actions of tensor categories on operator algebras, Twinned Conference on C*-Algebras and Tensor Categories, The Fields Institute, Canada Website (Nov 2023)
- 2022
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Quantum symmetries for operator algebras, Polish-German seminar on quantum groups, graphs and symmetries via representation theory, Saarbrucken Univeristy, Germany Abstract (24 Nov 2022)
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Discrete inclusions of C*-algebras, Quantum Symmetries Seminar, Ohio State University Mathematics, Columbus, OH USA Abstract (22 Nov 2022)
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Unitary tensor categories and their actions, Malý Seminar, Karlin Univeristy, Prague, Czech Republic (4 Nov 2022)
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K-theoretic classification of inductive limit actions of fusion categories on AF-algebras, NCG&T Seminar, Institute of Mathematics of the Czech Academy of Sciences, Prague, Czech Republic Abstract (1 Nov 2022)
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K-theoretic classification of inductive limit actions of fusion categories on AF-algebras, Operator algebras Seminar, Mathematics KU Leuven, Belgium Abstract (14 Oct 2022)
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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)
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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)
- 2021
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Q-systems and higher idempotent completion for C* 2-categories, Algebra and Combinatorics Seminar, Texas A&M University (8 Oct 2021)
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Q-system completion for C*-Algebras, YMC*A 2021, slides (13 Aug 2021)
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C*-algebras, right correspondences, and Q-systems, GPOTS 2021, notes (10 May 2021)
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UNAM: Seminario de categorias: Actions of unitary tensor categories on C*-algebras, (27 Jan 2021) notes , video (17 March 2021)
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IPAM: Actions of Tensor Categories on C*-algebras: Actions of unitary tensor categories on GJS C*-algebras, slides , (27 Jan 2021)
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Joint Mathematics Meeting 2021: Advances in Operator Algebras: Representations of unitary categories on C*-algebras (7 Jan 2021)
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Joint Mathematics Meeting 2021: Hopf Algebrasand Tensor Categories: Classification of module categories for generalized TLJ *-2-categories (6 Jan 2021)
- 2020
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Texas A&M, Brazos Analysis Seminar: Realizing unitary tensor categories as bimodules over GJS C*-algebras and Hilbertification (7 Nov 2020) Abstract
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Indiana University Bloomington, Algebra Seminar: Classifying unitary modules for generalized TLJ *-2-categories (16 Nov 2020)
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Vanderbilt University, Subfactor Seminar: Representations of RC*TC over GJS C*-algebras Abstract
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OSU NCGOA seminar: Constructing the Jiang-Su algebra
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OSU-Ox:Realizations of RC*TC over GJS C*-algebras and Hilbertification Slides
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OSU Hayes Graduate Forum: Quantum symmetries of quantum spaces. Poster
- 2019
- 2018
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OSU: NCGOA Seminar. Geometric measure of Arens Irregularity Abstract
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OSU: NCGOA Seminar. There exists a unique separable hyperfinite II1 factor Abstract
- 2017
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OSU: Quantum Algebra & Quantum Topology Seminar. Jones’ Index Rigidity Theorem Abstract
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OSU: Quantum Algebra & Quantum Topology Seminar. Jones’ Index Rigidity Theorem pt. II Abstract
- 2014