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My name is Juan J. Villarreal , currently I am a Burnett Meyer visiting professor at University of Colorado at Boulder.
My research interests are Lie groups, Lie algebras and their applications to number theory and geometry. The main focus of my research is the study of infinite dimensional algebras and vertex algebras.
email: juanjos3villarreal@gmail.com, juan.motoya-2@colorado.edu
Recent conferences organized
8-11 January 2025, JMM special section, New trends in Lie theory and mathematical physics, Seattle, USA.
15-18 July 2024, Symplectic singularities at the University of Bath, Bath UK
Recent talks and conferences
20-25 July 2025: Recent developments in Logarithmic conformal field theory, Banff Int research station, Banff, Canada. Talk:TBD.
24-31 March 2025: Supersymmetric quantum field theories, vertex operator algebras and Geometry. Simons Center, Stony Brook Uni. NY.
9-13 September 2024: Vertex algebras and related topics, RIMS, Kyoto, Japan, Talk: The center of the modular affine vertex algebra.
15-18 July 2024: Symplectic singularities at the University of Bath, Talk: Associated varieties/Higgs branches
24-31 March , 2024: Vertex Algebras and Related Topics, Ningbo, China, Talk: Decreasing filtrations on intertwiners.
17-19 January 2024: LMS South West and South Wales Workshop, Representations of groups and Lie algebras, Talk: Tensor structures arising from affine Lie algebras
11-15 December 2023: Infinite dimensional Lie algebras and related topics. Rome, Italy, Talk: Lambda bracket and intetwiners
28 Aug - 01 Sep 2023: Geometric Representation Theory and W-algebras, Talk: The center of modular affine vertex algebras. ICMS, Edinburg, UK.
July 17 - 21, 2023: The Physical mathematics of quantum field theory summer school, UMass, Amherst, MA, USA.
May 29 - June 1, 2023: Interactions between Mathematics and Physics , An event in honor of Victor Kac. Rome, Italy.
April 12- 2023: IMPA algebra seminar. Talk: Affine sl_2 and some of its modules, Rio de Janeiro, Brazil.
Feb 08-2023: University of Birmingham, Algebra seminar. Talk: Affine sl_2 and some of its modules, Birmingham, UK.
June 27-July 1, 2022: Theoretical and Mathematical Physics Seminar. Talk: Logarithmic vertex algebras and non local poisson vertex algebras, INRN, Sofia, Bulgaria
June 6-10, 2022: Vertex Algebras and Representation Theory. Talk: Logarithmic vertex algebras and non local poisson vertex algebras. CIRM, Marseille Luminy, France
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