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Master’s program in mathematics

Master’s program in mathematics. E ötvös Loránd University Budapest. About Eötvös Loránd University. E stablished in 1635. It is the oldest university in Hungary. Number of students: 2 6 679 ( 2015 ) It is the largest university in Hungary. Who was Eötvös Loránd ?.

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Master’s program in mathematics

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

  2. About Eötvös Loránd University Established in 1635. It is the oldest universityin Hungary. Number of students: 26 679 (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. Facultybuildings

  6. Nobel Prizewinners 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) FrigyesRiesz (1880-1956) functionalanalysis Lipót Fejér (1880-1959) Fourier-analysis John von Neumann (1903-1957) mathematicalfoundations of quantummechanics Pál Turán (1910-1976) numbertheory and manyothers… Pál Erdős (1913-1996) numbertheory, combinatorics…

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

  9. Mathematicalhall 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 onCombinatorialOptimization • Geometric and AlgebraicCombinatorics Research Group • Numerical Analysis and Large Networks Research Group • ELTECRYPT – Research Group inCryptography • LEMON – Library of Efficient Models and Optimization in Networks • PIT – Protein InformationTechnology Group • LNRG – LargeNetworks 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: Onrequest, allcoursesareoffered (also) in English. Courses are offered in the form of lectures and problem sessions, sometimes as reading courses.

  13. Titles of somerecentMSc diploma works • Ranks on the Baire class α functions (realanalysis) • Galoisrepresentations (algebra) • Symmetric submodular functions and theirapplications (combinatorialoptimization) • IntegralGeometricFormulae (geometry) • Classification of High-Dimensional Simply-Connected Manifolds (differentialtopology) • Ellipticcurves (algebraicnumbertheory) • Model Theoretic Spectrum Functions and Algebraic Logic (algebraiclogic) • IntegerCarathéodory property for the bases of a matroid(combinatorics) • FractionalorderSobolevspaces (functionalanalysis) • RoutingProblems (operationsresearch)

  14. Summerschoolsinmathematics

  15. Summerschoolinmathematics2017 June5 – 9 (tentative)(Monday – Friday) Highermathematicsthroughproblemsolving Problemsin algebra, realanalysis, number theory, combinatorics… From simple intellectual challenges at high school level to university competitions and open problems in research mathematics Registrationends: May 30, 2017

  16. Applicationdeadline: October 31 to begin in February May 31 to begin in September

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

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