Currently, I am a Postdoc at the Mathematics Department of PUC-Rio.

My thesis advisor was Eva Miranda (Universitat Politècnica de Catalunya - UPC). The Ph.D. thesis deals with geometric quantisation of integrable systems with singularities.

I also hold a master's degree on Physics from UFMG - Universidade Federal de Minas Gerais. My Master's thesis advisor was Emmanuel Araújo Pereira. We studied the nonequilibrium statistical mechanics properties of hamiltonian microscopic models with stochastic dynamics
(Heat conduction in harmonic chains of oscillators with alternated masses, in Brazilian Portuguese).



Curriculum vitae



Research Interests

My main interest is on the geometry and topology of Classical Physics (Classical Mechanics, Hydrodynamics, General Relativity, and Yang--Mills Theory) and integrable systems (Symplectic Geometry, Lie--Poisson systems, and Soliton Theory).

Projects

  • Topological approach to classical and quantum Yang--Mills Theory: a theoretical explanation for electric charge quantisation, without magnetic poles, was obtained (charge quantisation). 


Publications

Preprints

  • Eva Miranda, Francisco Presas, and Romero Solha
    Geometric quantisation of almost toric manifolds.
    arXiv:submit/1879794.
  • Romero Solha
    Darboux normal form theorem as an example of Liouville integrability theorem.
    arXiv:1503.07386.

  • Romero Solha
    Circle actions and geometric quantisation. (An extended version of the published article)
    arXiv:1301.1220.

 Lecture notes





                                                                                                                                               Last modified: the 12th of May, 2017.