master’s program in mathematics

Master’s program in

mathematicsEötvös Loránd University

Budapest

About Eötvös Loránd University

Established in 1635.It is the oldest among still existing universities

in Hungary.

Number of students: appr. 30000

It is the largest university in Hungary.

Structure of the university8 faculties:

Faculty of Education and PsychologyFaculty of HumanitiesFaculty of InformaticsFaculty of Law and Political SciencesFaculty of Primary and Pre-school EducationFaculty of ScienceFaculty of Social SciencesFaculty of Special Education

Faculty buildings

University Library

founded in 1561

Botanical Garden

established in 1771

Nobel Prize laureates

Fülöp Lénárd 1905

Physics

György Békésy

1961Medicin

e

Albert Szentgyörg

yi1937

Medicine

János Harsányi

1994 Economic

s

György Hevesy1943

Chemistry

Mathematical traditionFrigyes Riesz(1880-1956)

functional analysis

Lipót Fejér(1880-1959)Fourier-analysis

John von Neumann(1903-1957)

mathematical foundations of quantum mechanics

Pál Turán(1910-1976)number theory

and many others…Pál Erdős(1913-1996)

number theory, combinatorics…

Mathematical tradition 2

László Lovászcombinatorics

Wolf prize, Kyoto prize

Endre Szemerédicombinatorics

Abel prize

and many others…

László BabaicombinatoricsGödel prize

Miklós Laczkovichanalysis

Ostrowski prize

Mathematical tradition 3

IMO hall of fame (among the top 90)Studied at Eötvös Univ.

Teaches at Eötvös Univ.József Pelikán yes

yesLászló Lovász yes

yesTamás Terpai yes

yesBéla András Rácz yesImre Ruzsa yesGyula Lakos yes

yesGéza Kós yes

yesIstván Tomon yesZoltán Gyenes yesBéla Bollobás yes

Mathematical tradition 4

Year RankingNumber of

participating universities

2005 2 71

2006 4 43

2007 1 60

2008 1 43

2009 4 65

2010 7 90

2011 3 77

2012 7 68

2013 5 72

Participation at the International Mathematics Competition

for University Students

Mathematical tradition 5Winners of major international prizes

in 2012:Éva Tardos -

Gödel prize (for outstanding papers in theoretical computer science)

László Lovász, Balázs Szegedy - Fulkerson prize(for outstanding papers in discrete

mathematics)

András Máthé - Banach prize

(for a doctoral dissertation in mathematics)

Endre Szemerédi -Abel prize

(for outstanding scientific work in mathematics)

Katalin Marton - Shannon award

(for consistent and profound contributions to information theory)

Departments, research areas

Department of Algebra and Number TheoryDepartment of Analysis Department of Applied Analysis and

Computational Mathematics Department of Computer Science Department of Geometry Department of Operations Research Department of Probability Theory and

Statistics Mathematics Teaching and Education Centre

Master’s program in mathematics

Usually 2 years 100 credits (courses) + 20 credits (thesis)

Courses in: AlgebraAnalysis

Discrete mathematicsGeometry

Number theoryOperations research

Stochastics

On request, all courses are offered (also) in English.

Structure of the program1. Basic courses (20 credits)2. Core courses (30 credits in 4 subject

areas)3. Special courses (44 credits in 3 subject

areas)4. Free courses (6 credits)5. Thesis (20 credits)

Courses are offered in the form of lectures and problem sessions, sometimes as reading courses.

Titles of some recent MSc diploma works

1. Ranks on the Baire class α functions (real analysis)2. Galois representations (algebra)3. Symmetric submodular functions and their applications

(combinatorial optimization)4. Integral Geometric Formulae (geometry) 5. Classification of High-Dimensional Simply-Connected

Manifolds (differential topology)6. Elliptic curves (algebraic number theory)7. Model Theoretic Spectrum Functions and Algebraic

Logic (algebraic logic)

8. Integer Carathéodory property for the bases of a matroid (combinatorics)

9. Fractional order Sobolev spaces (functional analysis)10. Routing Problems (operations research)

Summer school in discrete

mathematics

June 2014Registration deadline: June 15, 2014

Early registration deadline: April 20, 2014

Application deadline:October 31 to begin in February

May 31 to begin in September

Next: Abstract algebra in everyday useKey ingredients:

The Hungarian team at the IMO 1973 in Moscow

Évariste Galois(1811 – 1832)

Péter Pál Pálfy

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