Master’s program in mathematics Eötvös University Budapest About Eötvös University Established in 1635. It is the oldest among still existing universities in Hungary. Number of students: 30767. It is the largest university in Hungary. 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 Faculty of Social Sciences Faculty of Special Education 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 90) Studied at Eötvös Univ. Teaches at Eötvös Univ. József Pelikán yes yes László Lovász yes yes Tamás Terpai yes yes Béla András Rácz yes Imre Ruzsa yes Gyula Lakos yes yes Géza Kós yes 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 2 71 2006 4 43 2007 1 60 2008 1 43 2009 4 65 2010 7 90 2011 3 77 2012 7 68 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) 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 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. For prospective students or interested undergraduates Final clue Tools needed to follow the talk: Whose picture is this? András Szűcs Leader of the MSc program Today’s plenary speaker Or maybe not????