Research

Research interests: Poisson, Dirac, and Jacobi Geometry, its symmetries and reductions. Lie groupoids and its intereaction with mathematical Physics

Students

Yamid Yela, On reduction of Dirac-Jacobi structures 

Alexander Leguizamon, On moment maps and Jacobi structures (coadvisor Daniele Sepe) 

Ivan Orozco, Lagrangian submanifolds under special conditions of degenracy of symplectic structures

Olga Garatejo,  Estructuras duales en modelos estadisticos y productos warped

Seminar

Interacciones de Geometría Diferencial y Física Matemática 

joint with prof. Carolina Neira (Dept. Mathematics),  prof. Leonardo Castañeda (OAN), prof. Juan Pablo Beltran (Dept. Physics) at Universidad Nacional de Colombia, Bogotá and Ivan Contreras (Amherts College MA)

Un curioso video

Published papers

1. Poly-symplectic geometry and the AKSZ Formalism, accepted in Reviews in Mathematical Physics (I.Contreras)

2. On polar actions invariant solutions of semi-linear equations on manifolds. Journal of Mathematical Analysis and Applications, (E. Becerra, J.C. Galvis)

3. Poly-Poisson sigma models and their relational poly-symplectic groupoids. Journal of Mathematical Physics, (I. Contreras)

4. On Higher Dirac Structures, International Mathematics Research Notices (H. Bursztyn, R. Rubio)

5. Poly-symplectic Groupoids and Poly-Poisson Structures, Letters in Mathematical Physics

PhD Thesis

On Higher Poisson and Higher Dirac Structures, at IMPA under supervision of H. Bursztyn

Some talks:

• Workshop on Poisson geometry, USP Sao Paulo BR, October 2023

• ONEW on higher Dirac structures, online 2021

• Colima workshop on geometry, Colima MX, October 2018

• Gone fishing, Notre Dame USA, June 2017

• Congreso Latinoamericano de Matemáticas, Barranquilla Col July 2016

• 9th International young research workshop on geometry and mechanics, Zaragoza SP, 2015