معرفی
Miguel Tribolet de Abreu is a Professor in the Department of Mathematics at Instituto Superior Técnico, Universidade de Lisboa. He has been actively contributing to the field of symplectic and contact geometry for over two decades, with numerous publications in top mathematical journals.
Education:
- Agregação in Mathematics, 2008, Universidade Técnica de Lisboa
- Ph.D. (Mathematics), 1996, Stanford University
- M.Sc. (Mathematics), 1992, Stanford University
- Licenciatura in Applied Mathematics and Computing, 1990, Instituto Superior Técnico
Professor Abreu's research focuses primarily on symplectic and contact geometry/topology, with special emphasis on toric constructions, Reeb dynamics, and Lagrangian submanifolds. His work bridges pure mathematics with mathematical physics, exploring deep connections between geometric structures and dynamical systems. He has made significant contributions to understanding periodic orbits in contact manifolds, the geometry of toric varieties, and the interplay between Kahler metrics and contact topology.
His recent publications (2019-2024) demonstrate a continued focus on contact invariants of toric manifolds, periodic orbits of Reeb flows, and the application of symplectic techniques to geometric problems. The research shows a progression from foundational work on symplectomorphism groups to more specialized investigations of contact structures and their invariants.
Professional Activities:
- Member of the Center for Mathematical Analysis, Geometry and Dynamical Systems
- President of the Portuguese Mathematical Society (2010-2014)
- Organizer of numerous workshops and conferences including the Workshop on Symplectic Dynamics (2022) and Geometric Analysis Conference (2014)
Professor Abreu has been actively involved in mentoring students and teaching a wide range of mathematics courses at Instituto Superior Técnico, including Calculus, Differential Geometry, and Symplectic Geometry. His teaching portfolio shows consistent engagement with both undergraduate and graduate education.
He has also contributed to mathematical outreach through talks for high school students and collaborations on educational materials such as "22 Centuries Measuring Area" with Ana Cannas da Silva.
