Master’s and Doctorate
The courses
We offer a master’s degree in mathematics and applied mathematics and a doctorate.
Programs of excellence
Academic master's degree, a two-year course, in person, specializing in pure and applied mathematics. Doctorate in mathematics, which covers a range of topics described below. All the postgraduate programs have the highest rating in the evaluation by the Coordination for the Improvement of Higher Education Personnel (CAPES).
Free program
IMPA's Master's and Doctorate courses are offered free of charge to all students.
Course schedule
See the full course schedule for the Master's and PhD courses.
Discipline Schedule - August to November 2025
Research topics
- Partial differential equations
- Dynamical systems
- Probability
- Geometry
- Algebra
- Combinatorics
- Foliations
- Mathematical physics
- Computer graphics
- Data science
- Fluid dynamics
- Mathematical economics
- Optimization
- Machine learning
To see all the courses on offer, visit the full regulations
and find more information in the disciplinary regulations.
Master's dissertations and degrees
Doctorate theses and degrees
How to join in the Master's and Doctorate
The Institute has two entry periods:
- First period: March – June
- Second period: August – November
IMPA receives applications on a rolling basis.
Applications with complete documentation will be analyzed by the Teaching Committee.
Step by step:
- Create an account in our “IMPA Institutional” online system
- Select the program you want to apply for
- Fill in all your personal information and other fields marked as compulsory.
- It must be included:
- A 3×4 photo for a document (from the front, alone, with a white background) and a photo ID.
- Nominations from at least two professors who can give an academic recommendation.
- Official transcripts from the institution where you studied. If you are still studying for your degree, you should send as complete a transcript as possible. The issue of a diploma is conditional on the presentation of an undergraduate degree.
- A short letter, written by the candidate, stating what their plans will be during and after the course they are applying for.
- A list of mathematics textbooks, at university level, read in full or in large part.
Observations
- We can only guarantee that applications submitted by October 15 and with complete documentation will be reviewed. After this date, it is still possible to send documents, but applications will only be analyzed if there is enough time.
- The attached documents are not returned to the candidate after the trial.
- Only applications with complete documentation will be considered.
- The Teaching Committee will inform the candidate by e-mail of the decision taken on their application for admission.
- In the Master’s Program, due to the number of courses on offer, admission in August will only be possible in exceptional cases.
Free Courses
People not enrolled in IMPA’s training programs can register as a free course student.
Registration is done through the online system and the courses are free, except for those offered in the evening.
Observations
- Whether or not free course students will be accepted on remote courses in each term will be decided by each teacher, who will also decide whether or not external students will be assessed as regular students.
- If you choose to differentiate between them, grades of P or F will be awarded to free course students.
Professional Master's
no open classes
Professional Master’s Degree in Mathematical Methods in Finance
It is intended for the training of qualified professionals, with accurate knowledge in the area of mathematical and computational modeling, who seek to deepen themselves in quantitative finance, risk analysis and financial instruments.
Read more
Professional Master’s Degree in Mathematics in National Network
It aims to serve Mathematics teachers working in basic education, especially in public schools, who seek improvement in their professional training, with emphasis on the in-depth mastery of mathematical content relevant to their teaching performance.
Read more
*IMPA is not currently offering new classes for PROFMAT and the Professional Master's in Finance.
