Ph.D. Program
Our Ph.D. program started in January 2008. Our main concentration areas are Algebra, Algebraic Geometry, Applied Math, Differential Geometry, Dynamical Systems, Symplectic Geometry and Topology. Since 2012, we are graded 5 (maximum 7) by CAPES.
Degree Requirements
In order to obtain our Ph.D. degree, the student must complete:
- Ph. D. Level Courses (52 credits; at least 28 in Regular Courses);
- Qual Exam (Oral);
- Teaching Internship;
- English Exam;
- Ph. D. Thesis.
The Oral Qualification Exam, whose content in 2 distinct areas must be pre-approved by the Main Committee, must be taken up to 1 year after starting the program.
The Ph.D. thesis must contain an original and relevant contribution to the corresponding area of Mathematics.
Regular Courses
Every course has 60 hours (4 credits), except those marked with *, which have 90 hours (6 credits).
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- Algebraic Function Fields
- Algebraic Geometry I*
- Algebraic Geometry II*
- Algebraic Geometry III
- Algebraic Number Theory
- Algebraic Topology
- Biomathematics*
- Commutative Algebra I
- Commutative Algebra II
- Complex Geometry
- Complexity Theory I
- Complexity Theory II
- Control Theory and PDEs I
- Control Theory and PDEs II
- Differential Topology I
- Differential Topology II
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- Dynamical Systems II
- Dynamical Systems III
- Ergodic Theory I*
- Ergodic Theory II
- Extremal Combinatorics I
- Extremal Combinatorics II
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- Functional Analysis
- Geometrical Analysis
- Geometrical Flows
- Global Riemannian Geometry*
- Graph Spectral Theory
- Graph Theory*
- Holomorphic Foliations
- Introduction to Algebraic Geometry
- Many Complex Variables
- Methods in Applied Math
- Non-Linear PDEs
- Numerical Analysis
- Numerical Methods for Differential Equations
- Populational Dynamics
- PDEs and Applications
- PDEs II*
- Real Foliations
- Regularity Theory
- Riemann Surfaces
- Riemannian Geometry
- Singularities
- Semigroup Theory and Applications*
- Submanifold Theory*
Other Courses
Courses named "Topics" have 60h (4 credits); others have 30h (2 credits).