Masters program in mathematics Etvs Lornd University Budapest
Master’s program in mathematics Eötvös Loránd University Budapest
About Eötvös Loránd University Established in 1635. It is the oldest university in Hungary. Number of students: 28 661 (15. Oct. 2013) It is the largest university in Hungary.
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 essential to prove the equivalence of the inertial mass and the gravitational mass. This result was then later used by Albert Einstein as an experimental support for his general theory of relativity.
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 (2 nd largest faculty) Faculty of Social Sciences Faculty of Special Education
Faculty buildings
University Library founded in 1561
Botanical Garden established in 1771
Nobel Prize laureates Fülöp Lénárd 1905 Physics György Békésy 1961 Medicine Albert Szentgyörgyi 1937 Medicine János Harsányi 1994 Economics György Hevesy 1943 Chemistry
Mathematical tradition Frigyes Riesz (1880 -1956) Lipót Fejér (1880 -1959) functional analysis John von Neumann (1903 -1957) Fourier-analysis Pál Turán (1910 -1976) mathematical foundations of quantum mechanics number theory Pál Erdős (1913 -1996) number theory, combinatorics… and many others…
Mathematical tradition 2 László Lovász Endre Szemerédi combinatorics Wolf prize, Kyoto prize combinatorics Abel prize László Babai combinatorics Gödel prize Miklós Laczkovich analysis Ostrowski prize and many others…
Mathematical tradition 3 IMO hall of fame (among the top 100) Studied at Eötvös Univ. Teaches at Eötvös Univ. József Pelikán yes László Lovász yes Tamás Terpai yes Béla András Rácz yes Imre Ruzsa yes Gyula Lakos yes Géza Kós yes István Tomon yes Zoltán Gyenes yes Béla Bollobás yes
Mathematical tradition 4 Participation at the International Mathematics Competition for University Students Year Ranking Number of participating universities 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2 4 1 1 4 7 3 7 5 2 71 43 60 43 65 90 77 68 72 73
Mathematical tradition 5 Winners 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 Theory Department 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: Algebra Analysis Discrete mathematics Geometry Number theory Operations research Stochastics On request, all courses are offered (also) in English.
Structure of the program 1. 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 2014 Participants from: Brasil, Germany, Hungary, Japan, Korea, Netherlands, Poland, Spain, Switzerland, Turkey, UK, USA
Application deadline: October 31 to begin in February May 31 to begin in September
Next: The grid with applications Key ingredients: György Pólya (1887 – 1985) Regularly planted forest Gábor Szegő (1895 – 1985) Miklós Laczkovich
- Slides: 20