Vinicius Ramos


Vinícius Ramos, a mathematician with a penchant for cycling, uses his bike as his primary transportation to work. This might seem unusual to his colleagues at the Institute of Pure and Applied Mathematics, given its location atop a hill amidst a forest in the Jardim Botânico district of Rio de Janeiro. However, this choice has proven fruitful as he has had several mathematical insights related to his field, symplectic geometry, during these rides.

Vinícius completed his undergraduate and master’s degrees in applied mathematics at the Federal University of Rio de Janeiro. He then pursued his doctorate at the University of California in the United States. His post-doctoral studies took him to the University of Nantes in France. In his leisure time, Vinícius enjoys playing the guitar and piano, baking naturally leavened bread, and of course, cycling. His bicycle serves not just as a means of transportation, but also as a companion for hiking and nature walks.


Symplectic Geometry, Contact Dynamics and Billiards
Science / Mathematics

My research lies at the intersection of symplectic geometry, billiard theory, and Hamiltonian dynamics, exploring the intricate connections between these diverse mathematical fields. Symplectic geometry, a fundamental branch of mathematics, provides a natural framework for studying classical mechanics in any space, including the intricate trajectories of billiard balls on a table. I aim to comprehend how the knowledge about billiard trajectories across different tables can impact the type of symplectic geometry and, subsequently, the Hamiltonian dynamics of a related space. Furthermore, I seek to determine if symplectic geometry can aid in resolving open-ended questions regarding the existence of billiard trajectories on complex tables.

Amount invested

1st phase: R$ 100,000.00
2nd phase: R$ 1,000,000.00 (R$ 700,000.00 + R$ 300,000.00 optional bonus for the integration and training of people from underrepresented groups in science)

Open Calls

Chamada 1
  • Topics
  • Billiards
  • Contact dynamics
  • Hamiltonian dynamics
  • Symplectic geometry