Recent publications

Five most recent publications

We give a rigorous development of the construction of new braided fusion categories from a given category known as zesting. This method …
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We study actions of discrete groups on 2-categories. The motivating examples are actions on the 2-category of representations of finite …
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We use relative group cohomologies to compute the Kac cohomology of matched pairs of finite groups. This cohomology naturally appears …
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We study novel invariants of modular categories that are beyond the modular data, with an eye towards a simple set of complete …
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We introduce the notion of a reflection fusion category, which is a type of a $G$-crossed category generated by objects of …
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See all publications

Upcoming conference schedule

Reverse chronological order

Workshop: Hopf Algebras and Tensor Categories

  • August 2020 27 October 2020. Hamburg. Germany.

Oberwolfach Workshop : Subfactors and Applications

  • 27 October - 2 November 2019. Oberwolfach, Germany.

SQuaRE at American Institute of Mathematics

  • Sept 30-Oct 04, 2019. San Jose, CA. USA.

Summer School: Algebraic Structures in Quantum Field Theory

  • August 26-30, 2019. Hamburg, Germany.

Research School on Quantum Symmetries

  • June 24 - July 5, 2019. Bogotá, Colombia.

Humboldt Kolleg Measuring America

  • March 19-21, 2019. Barranquilla, Colombia.

Team

Prospective graduate students should review these lectures.

I am currently not taking new Undergraduate or Master students since I am on leave from UniAndes up to 2021.

Ph.D Students

  • Nicolás Ramirez, Universidad de los Andes
  • Diego Romero, Universidad de los Andes
  • David Jaklisch, Hamburg University. Co-adivor: Christoph Schweigert

Master Students

  • Giovanny Mora

Former members

  • Fernando Venegaz (PhD). (Graduated in June 2019).
  • Yiby Karolina Morales (PhD) (Graduated in June 2019)
  • Manuel Medina Luna (PostDoc) (2016-2018)
  • Nicolás Jaramillo (Masters) (Graduated in June 2018)
  • Nicolás Escobar (Masters) (Graduated in June 2018)
  • Diana Carolina Castañeda (Masters) (Graduated in November 2013).

My software

FusionA

FusionA is written in GAP and computes the fusion rules, modular data and braided zestings of $SU(N)_k$. For details on how to use FusionA see the README file in the repository.

Traducción libro APEX-Cálculo

Cáculo Véctorial

El libro APEX-Calculus, es un libro de texto de cálculo el cual es de código abierto y puede ser modificado bajo la licencia Creative Commons Attibution-Noncommercial 4.0 International Public lincense.

Como un proyecto intersemestral de la Facultad de Ciencias junto con los estudiantes de Maestría en Matemáticas José Miguel Cruz, Giovanny Mora y Diego Romero, estamos traduciendo el libro APEX-Calculus. Si bien la parte que corresponde al curso de cálculo vectorial está traducida en su totalidad, aún debemos revisarlo por completo. Sin embargo, puede ser útil para algunos estudiantes y estamos trabajando en mejorarlo. Los siguientes enlaces contienen las versiones más actualizadas de la traducción

Versión a color

Versión a blanco y negro

El código de la versión actual de la traducción lo pueden encontrar en el siguiente enlace.