1. Master’s program in mathematics
Eötvös Loránd University
Budapest

2. About Eötvös Loránd University
Established in 1635.
It is the oldest university in Hungary.
Number of students:
(2015)
It is the largest university in Hungary.

3. Who was Eötvös Loránd? Loránd Eötvös (1848—1919):
Hungarian physicist. He is remembered largely for his work on gravitation and surface tension, and the invention of the torsion pendulum. The Eötvös pendulum was used to prove the equivalence of the inertial mass and the gravitational mass which was then later used by Albert Einstein as an experimental support for his general theory of relativity.
Between 1894 and 1895 he was the minister of education in Hungary. During the seven months he served as a minister he established more than 400 new schools.

4. Structure of the university
8 faculties: Faculty of Education and Psychology Faculty of Humanities Faculty of Informatics Faculty of Law and Political Sciences Faculty of Primary and Pre-school Education Faculty of Science (2nd largest faculty) Faculty of Social Sciences Faculty of Special Education

5. Faculty buildings

6. Nobel Prize winners Fülöp Lénárd 1905 Physics György Hevesy 1943
Chemistry
Albert Szentgyörgyi
1937
Medicine
György Békésy
1961
Medicine
János Harsányi
1994 Economics

7. Mathematical hall of fame (1)
Frigyes Riesz
( )
functional analysis
Lipót Fejér
( )
Fourier-analysis
John von Neumann
( )
mathematical foundations of quantum mechanics
Pál Turán
( )
number theory
and many others…
Pál Erdős
( )
number theory, combinatorics…

8. Mathematical hall of fame (2)
László Lovász
combinatorics
Wolf prize, Kyoto prize
(ELTE, Hungarian Academy of Sciences)
Endre Szemerédi
combinatorics
Abel prize
(Rényi Institute, Rutgers University)
László Babai
combinatorics
Gödel prize
(University of Chicago, ELTE)
Miklós Laczkovich
analysis
Ostrowski prize
(ELTE)
and many others…

9. Mathematical hall of fame (3)
9 Hungarians among the top 100 participants in the IMO hall of fame – all of them became students of ELTE.
Among the prize winners of the Schweitzer competition (the most prestigious competition for math students in Hungary) during the last 30 years, over 92% came from ELTE.
Successful participation at international competitions like ICM (team of ELTE usually among the top 10%).

10. Departments, research areas
Algebra and Number Theory Analysis Applied Analysis and Computational Mathematics Computer Science Geometry Operations Research Probability Theory and Statistics Mathematics Teaching and Education

11. Research groups in applied mathematics
EGRES – Egerváry Research Group on Combinatorial Optimization
Geometric and Algebraic Combinatorics Research Group
Numerical Analysis and Large Networks Research Group
ELTECRYPT – Research Group in Cryptography
LEMON – Library of Efficient Models and Optimization in Networks
PIT – Protein Information Technology Group
LNRG – Large Networks Research Group

12. Master’s program in mathematics
(2 years) 100 credits (courses) + 20 credits (thesis)
Algebra
Analysis
Discrete mathematics
Geometry
Number theory
Operations research
Stochastics
Courses in:
On request, all courses are offered (also) in English.
Courses are offered in the form of lectures and problem sessions, sometimes as reading courses.

13. Titles of some recent MSc diploma works
Ranks on the Baire class α functions (real analysis)
Galois representations (algebra)
Symmetric submodular functions and their applications (combinatorial optimization)
Integral Geometric Formulae (geometry)
Classification of High-Dimensional Simply-Connected Manifolds (differential topology)
Elliptic curves (algebraic number theory)
Model Theoretic Spectrum Functions and Algebraic Logic (algebraic logic)
Integer Carathéodory property for the bases of a matroid (combinatorics)
Fractional order Sobolev spaces (functional analysis)
Routing Problems (operations research)

14. Summer schools in mathematics

15. Summer school in mathematics 2017
June 5 – 9 (tentative) (Monday – Friday)
Higher mathematics through problem solving
Problems in algebra, real analysis, number theory, combinatorics…
From simple intellectual challenges at high school level to university competitions and open problems in research mathematics
Registration ends: May 30, 2017

16. Application deadline:
October 31 to
begin in February
May 31 to
begin in September

17. László Fehér: How many lines intersect four lines in space?
How to combine:
algebra
geometry
analysis
topology
Hermann Schubert
(1848 – 1911)