- Constructing stable de Sitter in M-theory from higher curvature corrections. 2019
- Supersymmetry on Curved Space and Localization: An Example on S3. 2019
- Knots, Reidemeister Moves and Knot Invariants. 2019
- Double copy for massive quantum particles with spin. 2019
- String correlators: recursive expansion, integration-by-parts and scattering equations. 2019
- Chiral Estimate of QCD Pseudocritical Line. 2019
- Projective modules over classical Lie algebras of infinite rank in the parabolic category. 2020
- Discussions on Dai-Freed Anomalies. 2019
- Removing cusps from Legendrian front projections. 2019
- Towards an orbifold generalization of Zvonkine's r-ELSV formula. 2019
About the "Geometry and Physics" project
In the last twenty years, thanks to the prominent role of string theory, the interaction between mathematics and physics has led to significant progress in both subjects. String theory, as well as quantum field theory, has contributed to a series of profound ideas which gave rise to entirely new mathematical fields and revitalized older ones.
From a mathematical perspective some examples of this fruitful interaction are the Seiberg-Witten theory of four-manifolds, the discovery of Mirror Symmetry and Gromov-Witten theory in algebraic geometry, the study of the Jones polynomial in knot theory, the advances in low dimensional topology and the recent progress in the geometric Langlands program.
From a physical point of view, mathematics has provided physicists with powerful tools to develop their research. To name a few examples, index theorems of differential operators, toric geometry, K-theory and Calabi-Yau manifolds.
The main focus of the “Geometry and Physics” project regards the following areas:
Contact geometry and supersymmetric gauge theories.
Symplectic geometry and topological strings.
Symplectic geometry and physics interactions with low-dimensional topology.