The doctoral program in Mathematics is designed according to the planned research topics of doctoral students, as well as qualification training courses in this field of science. The purpose of the doctoral program is to train scientists, who would be capable of independently carrying out research and experimental development and solving scientific problems of Mathematics.

### Research topics

Research topics of doctoral students in Mathematics:

- Algebraic Number Theory
- Analytical Number Theory
- Random Processes Theory
- Differential Equations and Numerical Methods
- Risk Theory
- Didactics of Mathematics
- Geometric Groups Theory
- Combinatorics and Graph Theory
- Mathematical Statistics
- Mathematical Models of Hydrodynamics
- Limits Theorems
- Probability Theory

The study program consists of two blocks for subjects: compulsory block and elective block. The compulsory block consists of the subject for all the doctoral students and it reflects the main research topics for doctoral students, providing them with access to the general qualifications required for research. An elective block offers the subjects from which the rest of the program may be chosen and it is based on the research topics of Mathematics. With the approval of the PhD Committee, students can choose the subject in other fields of science.

### Study plan

- Vilnius University Regulations of Doctoral Studies (for those doctoral students of Vilnius University who have enteredsince 2017 and all others who want to defend their dissertation externally)

Compulsory block

Elective block

- Algebraic Combinatorics
- Algebraic Number Theory
- Algebraic Numbers, Polynomials and Diophantine Analysis
- Analytic Number Theory
- Analytic and Probabilistic Combinatorics
- Approximation Methods
- Asymptotic Statistics
- Stochastic Processes
- Finite Population Statistics
- Bayesian Statistics
- Multivariate Statistics
- Differential Problems with Nonlocal Boundary Conditions
- Numerical Methods for Differential Equations
- Insurance Mathematics
- Zeta Functions
- Econometrics
- Spatial Statistics
- Complex Analysis
- Time Series Analysis
- Markov Chains
- Equations of Mathematical Physics
- Modular Forms and Elliptic Curves
- Theory of Navier-Stokes Equations
- Dependence Measures and Copulas
- Statistics
- Statistical Data Analysis
- Stochastic Analysis
- Stochastic Differential Equations
- Probabilistic Number Theory
- Probabilistic machine learning algorithms
- Limit Theorems in Probability Theory

**Do you have more questions? Contact:**

**E-mail:**m.doktorantura@mif.vu.lt**Phone:**(+370 5) 219 3094**Address:**Naugarduko str. 24, room 224, Vilnius, Lithuania.