Elementary Courses

The topics of these courses cover a wide spectrum of areas in Mathematics, including very modern themes. They are at the introductory level of scientific research and are not normally offered in undergraduate programs at Brazilian universities. They are intended for talented undergraduate and graduate students. They aim to awaken vocations and stimulate participants' interest in Mathematics.

Teacher Course
Carlos Gustavo Moreira and Yoshiharu Kohayakawa Topics in Contemporary Combinatorics
Antonio Leitão Calculus of Variations and Optimal Control
André Nachbin Aspects of Mathematical Modeling in Fluid Dynamics
Paulo Brumatti and Antonio J. Engler Quadratic Integers and the Class Group

Intermediate Courses

These courses are designed for undergraduate, master's, and doctoral students, with a focus on research. They describe a developing field in an accessible way. Their objective is to introduce and motivate students towards research, particularly research being conducted in Brazil.

Teacher Course
Ralph Costa Teixeira Introduction to Scale Spaces
(EDPs in Image Processing)
Andre Toom Contours, Convex Sets, and Cellular Automata
Abramo Hefez and Marcelo Escudeiro Hernandes Computational Methods in the Local Theory of Curves
Nancy L. Garcia Perfect Simulation for Spatial Processes
Márcia R. Cerioli, Paulo Feofiloff, Cristina G. Fernandes, Flávio K. Miyazawa A Concise Introduction to Approximation Algorithms
Carlos Olmos Riemannian and Submanifold Geometry
Jean-Paul Brasselet Introduction to Toric Varieties
Rogério S. Mol, Márcio G. Soares Holomorphic Field Indices and Applications
Francesco Mercuri, Paolo Piccione and Daniel V. Tausk Notes on Morse Theory

Advanced Courses

They address current research topics and are intended for doctoral students and interested researchers. Among other things, they aim to disseminate relevant lines of research, particularly those developed in Brazil.

Teacher Course
Brother Frid Partial Regularity of Solutions of the 3-D Incompressible Navier-Stokes Equations
Wellington de Melo One Dimensional Dynamics: The Mathematical Tools