PhD in Mathematics — Program Description

General Data

Title: Doctoral School in Mathematics
Degree: PhD in Mathematics
Faculty: Faculty of Science
Institute: Institute of Mathematics
Language: English
Duration: 8 semesters
ECTS credits: 240

Program Content

Short description

The PhD School in Mathematics of Eötvös Loránd University was founded in 2001. The topics covered by the PhD Program comprise most of pure mathematics, including also computer science, combinatorial optimization, statistical and mathematical physics, as well as most of applied mathematics including the full spectrum of operations research, numerical analysis and statistics.

The program is research oriented: apart from attending specialized courses, our students usually start their research work by the end of the first year. Thus by the end of the program most of them already obtain results which are published (or accepted for publication) in internationally renowned journals. At the end of each year the students report about their research progress. More details on the requirements are given in Structure below.

Strength of the program

The Institute of Mathematics employs close to one hundred full time or part time professors working in various fields of mathematics. The advisors of the PhD School are internationally renowned experts of their fields. We collaborate with several research institutes and universities both in and outside Hungary, and regularly have visitors from abroad doing research or giving courses. Of particular interest is the fact that many researchers in the internationally renowned Hungarian school of combinatorics have started their career at our university and many of them still have position at the Institute of Mathematics. For example the Wolf Prize and Kyoto Prize winner Prof. László Lovász is a professor at our university. Recent Abel prize winner, Prof. Endre Szemerédi is also a graduate of our school. But one could also recall the Ostrowski Prize of Prof. Miklós Laczkovich (professor of our university), the Gödel Prize of Prof. László Babai (former professor), the Coxeter Prize of Prof. Balázs Szegedy (a graduate of our university) etc.

Structure

Program requirements

  • course work
  • research work and annual reports
  • comprehensive examination
  • at least two reviewed papers, accepted for publication
  • thesis

For details, see the table of term-by-term requirements or the overview.

To fulfill the course requirements, courses can be chosen in the following areas, depending on the research interest of the candidate:

  • Algebra
  • Number Theory
  • Real, Complex and Functional Analysis
  • Differential Equations, Dynamical Systems
  • Partial Differential Equations
  • Numerical Analysis
  • Stochastics
  • Probability and Statistics
  • Graph Theory
  • Combinatorics
  • Operations Research, Optimization
  • Geometry
  • Topology
  • Algorithms, Cryptography
  • Set Theory and Mathematical Logic

 

Admission for the Academic Year 2018/2019

Tuition and other fees, deadlines

EU/EEA students non-EU/EEA students
Tuition fee/semester 1910 (EUR) 3000 (EUR)
Application fee 160 (EUR) 160 (EUR)
Registration fee 60 (EUR) 60 (EUR)
Deadline for application – September intake: 31/05/2018
Different deadlines may be in effect if you apply for funding.

 

Admission requirements, language requirements

A master’s degree in mathematics (or in a related field) is a requirement. A reasonable command of English language is also needed (most international certificates will be accepted). Criteria for ranking at the admission procedure will include:

  • previous university achievements (examinations, comprehensive examinations, qualification of degree)
  • achievements related to previous research work (awards obtained in students’ academic circles, publications in the particular professional area)
  • feasibility of the research program

Application procedure

  • Fill out the online application form at https://registration.elte.hu
  • Send the saved version of the form to mathinst@cs.elte.hu
  • together with the scanned versions of the following documents:
    • degree certificates (BSc, MSc), together with English (or Hungarian) translation
    • transcript of records (BSc, MSc), together with English (or Hungarian) translation
    • CV, containing data about past professional activities (education, employment history), awards, list of publications etc.
    • motivation letter, describing main lines of interest within mathematics
    • research plan (list one or more potential research topics)
    • 2 letters of recommendation by people qualified to judge the applicants professional potentials and/or achievements
    • copy of the main page of the passport, together with a passport photo
    • copy of the transfer of application fee
    • English language certificate, proving reasonable command of the language
    • (optional:) name of potential advisor who has agreed to supervise the applicant (please, enclose the letter/E-mail reply of the professor)
  • For the entrance examination choose a general area from those listed below and send your choice together with your documents:
A. ALGEBRA / NUMBER THEORY
B. GEOMETRY / TOPOLOGY
C. DISCRETE MATHEMATICS
D. ANALYSIS
E. APPLIED ANALYSIS
F. PROBABILITY / STATISTICS
G. OPERATIONS RESEARCH
H. SET THEORY / MATHEMATICAL LOGIC

Entrance examination

A written test will be sent (via e-mail) to the applicant, covering basic fields of mathematics. In a limited amount of time the applicant will have to send back the solutions. In some cases a skype interview may follow. For details, see the  subjects and conditions of the written entrance exam.

Contact

Name E-mail
School leader Prof. István Faragó faragois@cs.elte.hu
Program leader in pure mathematics Prof. András Szűcs szucs@cs.elte.hu
Program leader in appplied mathematics Prof. János Karátson karatson@cs.elte.hu
Program coordinator Prof. István Ágoston agoston@cs.elte.hu
Program administrator Ms. Klaudia Szalay szalayk@cs.elte.hu
International coordinator (Faculty of Science) Ms. Éva Nagy sh@ttk.elte.hu (Stipendium
Hungaricum)
inter@ttk.elte.hu (international affairs)