Office Office 26 (C3b/140)
Position PhD Student
Research interests Symplectic Geometry & Topology
Area Algebra, Geometry, Number Theory and Topology
Nicolás Martínez, Pablo

I obtained the bachelor's degrees in Mathematics and Physics Engineering at Universitat Politècnica de Catalunya, within the Centre de Formació Interdisciplinària Superior. In my bachelor thesis, developed under the supervision of Prof. Nicolai Reshetikhin and Prof. Eva Miranda, I extended Weinstein's universal construction for phase spaces of particles interacting with Yang-Mills fields to singular symplectic manifolds. Afterwards, I studied the master's degree in Advanced Mathematics and Mathematical Engineering at Universitat Politècnica de Catalunya. I computed the Poisson cohomology groups of Poisson manifolds of \(b^m\)-type in my master's thesis, an open question posed by Alan Weinstein.

I am currently a doctoral student at Centre de Recerca Matemàtica and Universitat Politècnica de Catalunya. My research mainly concerns the application of techniques from singular symplectic geometry to the study of Poisson manifolds.

I was associate editor at TEMat from November 2021 to July 2022, and since then I became editor in chief. I have also been a member of the publications committee at Real Sociedad Matemática Española since January 2023.

My doctoral advisor is Professor Eva Miranda.

Other Research Interests
  • Poisson geometry
  • Singularity theory
  • Gauge theories
  • Integrable systems
  • Quantization
Selected publications
  1. Pau Mir, Eva Miranda, and Pablo Nicolás. “Hamiltonian facets of classical gauge theories on E-manifolds”. In: Journal of Physics A: Mathematical and Theoretical 56.23 (2023), p. 235201. DOI: 10.1088/1751-8121/acd1c6.