Master’s program in mathematics
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Transcript of Master’s program in mathematics
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Master’s program in
mathematicsEötvös Loránd University
Budapest
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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.
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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
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Faculty buildings
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University Library
founded in 1561
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Botanical Garden
established in 1771
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Nobel Prize laureates
Fülöp Lénárd 1905
Physics
György Békésy
1961Medicin
e
Albert Szentgyörg
yi1937
Medicine
János Harsányi
1994 Economic
s
György Hevesy1943
Chemistry
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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…
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Mathematical tradition 2
László Lovászcombinatorics
Wolf prize, Kyoto prize
Endre Szemerédicombinatorics
Abel prize
and many others…
László BabaicombinatoricsGödel prize
Miklós Laczkovichanalysis
Ostrowski prize
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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
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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
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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)
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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
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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.
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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.
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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)
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Summer school in discrete
mathematics
June 2014Registration deadline: June 15, 2014
Early registration deadline: April 20, 2014
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Application deadline:October 31 to begin in February
May 31 to begin in September
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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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