Juan Jose Villarreal

My name is Juan J. Villarreal ,  currently I am a postdoc at University of Bath in Bath, UK.  I obtained my PhD in 2018 at IMPA in Rio de Janeiro, Brazil, under the direction of Reimundo Heluani.

My research interests are Lie groups, Lie algebras and geometry. The main focus of my research is the study of infinite dimensional algebras and vertex algebras.  

  email: juanjos3villarreal@gmail.com,  jjv27@bath.ac.uk 



Recent talks and conferences

24-31 March , 2024: Vertex Algebras and Related Topics, Ningbo, China, Talk: TBD.

17-19 January 2024:  LMS South West and South Wales Workshop, Representations of groups and Lie algebras, Talk: Tensor structurres 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


Oct 15-17, 2021: Southeastern Lie Theory Workshop XII, College of Charleston, Charleston, SC, USA . Talk: Logarithmic vertex algebras.