The purpose of our PhD program program is to produce highly skilled researchers. PhD graduates are able to produce original and independent work in mathematics, whether their interest is in basic research or in applying mathematics to scientific and technological areas. Further, they are ready to teach at the graduate level. The program is four years long.

This program is part of the National Register of Quality Graduate Programs of CONACyT (International Competency).

The PhD degree program is available at the Federal District (Zacatenco) and Queretaro campuses of the Cinvestav.

Admission Requirements

• Master’s degree in mathematics (or similar degree).
• Selection of an advisor from our Department.

Admission

Open throughout the year. Admissions page here.

Information

For further information contact:

Academic Coordinator’s Office
Dr. Ruy Fabila Monroy
Phone: +52 (55) 5747-3800 Ext. 6439
E-mail: ruyfabila+coordinacion [@] math.cinvestav.edu.mx

Admissions & Student Services
Roxana Martinez
Phone: +52 (55) 5747-3870
E-mail: roxana [@] math.cinvestav.mx

Thesis Director

Once the candidate meets all requirements of the admissions committee, the student will be assigned a Thesis Director, whose job will be to overview the development of the thesis. Students can request a change of Thesis Director at most once.

Courses

The Department offers basic courses, regular courses, and seminars.

The following are basic courses:

• Algebra
• Functional Analysis
• Real Analysis
• Computer science
• Differential and integral equations
• Differential geometry
• Discrete mathematics
• Probability
• Topology
• Complex Variables

The final grades for the basic courses are granted by a Department Committee.

Grades

The grade scale is numeric: 0 to 10. Minimum passing grade is 7.0. The minimum grade to obtain credit from a course or seminar is 8.0.

Permanence Requirements

A student will be removed from the program if he/she receives a failing grade, if the average drops below 8.0 in two semesters in a row, or if the final average is below 8.0. These requirements include courses and seminar grades. A student cannot be enrolled in the program for a total of more than four years.

Calendar

The Spring semester starts on March 1st and ends on August 31st.
The Fall semester starts on September 1st and ends on February 28.

Requirements to obtain the PhD

• Meet all requirements from the admissions committee: courses, seminars, exams, etc.
• Enroll, each semester, in at least one course or seminar.
• Submit to a jury a doctoral thesis proposal overseen by the Thesis Director. This proposal must be submitted in writing before the conclusion of the first three semesters of the program.
• Pass a pre-doctoral oral exam before the conclusion of the first three semesters of the program. For this examination, the Thesis Director will assign two topics related to the student’s field of interest; these topics must be substantially different.
• Submit every semester, progress of the thesis in writing, after the approval of the thesis draft.
• Prove he/she has translation skills to translate mathematics texts in English and also in any of the following languages: French, German or Russian.
• Elaborate a doctoral thesis and support it in a final examination. Once the doctoral thesis is finished, it will go through two evaluation processes: an external evaluation and an exam from the Department graduate program. For the external evaluation, the thesis will be sent to external experts in the field, at least two which will be from foreign institutions.