Non-commutative algebra
- Actions and representations of algebras
- Classification of Hopf algebras
- Extensions of rings and related topics
- Galois theory
| Professors: | Wagner O Cortes João M J Giraldi Bárbara S Pogorelsky Alveri A Sant’Ana Thaisa R Tamusiunas Grasiela Martini |
Análysis:
- Functional analysis
- Harmonic analysis
- Matriz analysis
- Transport theory
| Professors: | Carlos F Lardizabal Diego Marcon Lucas S Oliveira |
Partial differential equations:
- Linear and non-linear evolution equations
- Non-linear dispersive equations
- Elliptic equations
- Free boundary problems
| Professors: | Leonardo P Bonorino Nicolau M L Diehl Patrícia L Guidolin Diego Marcon Wanderley N Nascimento Lucas S Oliveira Paulo R Zingano |
Differential Geometry:
- Eigenvalues and eigenfunctions on domains of Hadamard manifolds
- Minimal and constant mean curvature hypersurfaces
- Poisson geometry
| Professors: | Leonardo P Bonorino Pedro W Frejlich Francisco V Lima Álvaro K Ramos Jaime B Ripoll Miriam Telichevesky |
Probability and Statistics:
- Scale limits for some stochastic processes
- Quantum stochastic processes
- Stochastic processes and statistical analysis of time series
| Professors: | Susana F Fernández Artur O Lopes Ricardo Misturini Adriana N Oliveira Rafael R Souza Carlos F Lardizabal Sílvia R C Lopes |
Dynamical systems
- Duality and ergodic transport
- Thermodynamic formalism
- Dynamical systems and ergodic theory
| Professors: | Lucas H Backes Alexandre T Baraviera Artur O Lopes Diego Marcon Jairo K Mengue Joana Mohr Elismar R Oliveira Fagner B Rodrigues Rafael R Souza |
Number theory:
- Theory of partitions
| Professor: | Eduardo H M Brietzke |