Nicolás Martínez

Contact: nmartineza@unal.edu.co

Research interests

Research interests: Poisson, Dirac, and Jacobi Geometry. Mathematical Physics. Classical Mechanics

Publications

1. Becerra, E., Galvis, J., & Martínez, N. (2019). On polar actions invariant solutions of semi-linear equations on manifolds. Journal of Mathematical Analysis and Applications, Vol. 475, No. 1, pp. 769-781. ISSN: 0022-247X. DOI: 10.1016/j.jmaa.2019.02.069. ArXiv
2. Contreras, I., & Martinez Alba, N. (2018). Poly-Poisson sigma models and their relational poly-symplectic groupoids. Journal of Mathematical Physics, Vol.59, No. 7, pp. 072901. ISSN: 0022-2488. doi.org/10.1063/1.5016851 . ArXiv
3. Henrique Bursztyn, Nicolas Martinez Alba, Roberto Rubio; On Higher Dirac Structures, International Mathematics Research Notices, , rnx163, doi.org/10.1093/imrn/rnx163. ArXiv
4. Martinez Alba, N. (2015) Poly-symplectic Groupoids and Poly-Poisson Structures. Letters in Mathematical Physics, Vol 105, pages693–721. doi.org/10.1007/s11005-015-0746-1 ArXiv

Students

Master

• 2019-2: On Moment Maps and Hamiltonian Actions. Alexander Leguizamón
• 2019-1: Symmetries and Reductions of Dirac-Jacobi Structures. Yamid Yela

Undergraduate

• 2019-1: Aplicaciones poli-momento y funciones Morse-Bott, Joel Soler