Research Interests
- Uniform Distribution and Discrepancy
- Diophantine Equations
- Analytic Combinatorics
- Algorithmic Number Theory
- Fractal Structures
- Asymptotic and Stochastic Analysis
- Information Based Complexity
- Quasi-Monte Carlo Methods
- Mathematics in Finance and Insurance
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Administrative Positions
- Head of the Department of Mathematics (TU Graz, 1994-2000)
- Co-Speaker of the research area "Number-Theoretic
Algorithms and their Applications" (funded by FWF) (2000-2005)
- Member of the Senate of the TU Graz (1998-2006)
- Member of the Convent of the TU Graz (2003-2004)
- Vice-President of the Austrian Mathematical Society (OeMG) (2002-2005)
- President of the Austrian Mathematical Society (OeMG) (2006-2009)
- Dean (Faculty of Science, TU Graz, 2003), Dean (2004-2009) and Vice-Dean (2010-2017) of the Faculty of Mathematical and Physical Sciences
- Member of the Board (Kuratorium) of the FWF (Austrian Science Foundation) (2006-2014)
- Appointment to the ESF Standing Committee for Physical and Engineering Sciences (PESC, 2011-2012)
- Austrian delegate in the General Assembly of ICM 2014 in Korea
- Dean (Faculty of Mathematics, Physics and Geodesy, 2018-2019)
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Editorial Duties
-
Journal of Number Theory (1991 - 2000)
- Journal de Théorie des Nombres, Bordeaux
- Monatshefte für Mathematik (advisory board)
- Mathematica Slovaca
- Fibonacci Quarterly
- Uniform Distribution Theory
- Grazer Mathematische Berichte
- "Number Theoretic Analysis", Lecture Notes in Mathematics volume 1452, Springer 1990, with E. Hlawka
- "Algebraic Number Theory and Diophantine Analysis", de Gruyter Proceedings in Mathematics, de Gruyter 2000, with F. Halter-Koch
- Integers, Electronic Journal of Combinatorial Number Theory (Member of the Editorial Board)
- The Ramanujan Journal (Member of the Editorial Board)
- "Diophantine Approximation: Festschrift for Wolfgang Schmidt", Springer 2008, with H.P. Schlickewei and K. Schmidt
- "Dependence in Probability, Analysis and Number Theory" (In Memory of Walter Philipp), Kendrick Press 2010, with I. Berkes, R.C. Bradley, H Dehling and M. Peligrad
- International Mathematical News (IMN, Austrian Mathematical Society)
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Professional Positions and Awards
- Ph.D. University of Vienna (1979)
- Life-Insurance consultant (1979-1981)
- Assistant (Vienna, 1980-1983)
- Lecturer of Actuarial Sciences (Linz, 1980)
- Award of the Austrian Mathematical Society (1985)
- Dozent (Habilitation TU Vienna, 1983-1990)
- Full Professor (TU Graz, since 1990)
- Visiting Positions: Salzburg (1986), Tata Institute Bombay (1992), Marseille (1993, 1995, 2010, 2011),
Debrecen (1997), University of Illinois (Urbana-Champaign, 2000), University of the Witwatersrand (Johannesburg, 2003), University of Vienna (2010), Macquarie University Sydney (2010), University Paris 7 (2018)
- Member of the New York Academy of Sciences (1997-2002)
- Corresponding Member of the Austrian Academy of Sciences (2004- )
- Faculty Member of the doctoral school DK Discrete Mathematics (2010-)
- Faculty Member of the SFB "Quasi-Monte Carlo Methods: Theory and Applications" SFB Quasi-Monte Carlo Methods (2014-2023)
- Honorary Doctor, University of Debrecen (2017)
- Senior Member of the London Mathematical Society
- Life Member of the American Mathematical Society
- Jean-Morlet Chair (CIRM and University Aix-Marseille, 2020)
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