Robert Tichy

Robert Tichy (2004)

Robert Franz Tichy (born September 30, 1957 in Vienna ) is an Austrian mathematician and professor at the Technical University of Graz .

After studying mathematics at the University of Vienna, he did his doctorate in 1979 under Edmund Hlawka on the topic of equal distribution of multiple sequences and chains . In 1983 he completed his habilitation at the Technical University of Vienna . He is currently professor at the Institute for Analysis and Number Theory at Graz University of Technology . Among other things, he was President of the Austrian Mathematical Society , Dean of the Faculty of Mathematics and Physics at Graz University of Technology, and a member of the Board of Trustees of the Fund for the Promotion of Scientific Research (FWF) .

In his research he deals with number theory , analysis and financial mathematics , in particular with number theoretic algorithms, digit developments , Diophantine problems , combinatorial and asymptotic analysis, quasi-Monte Carlo methods and actuarial risk models . Contributions to discrepancy theory, a criterion for the finiteness of the solution set of Diophantine equations with separate variables (together with Yuri Bilu) as well as the investigation of graph-theoretic indices and combinatorial algorithms with analytical methods deserve special mention . In the metric theory of uniform distribution modulo 1 , together with Harald Niederreiter , he solved an open problem from Donald Knuth's book The Art of Computer Programming , and researched among others with Istvan Berkes and Walter Philipp about the pseudo-random properties of lacunar sequences. Since 2000 he has been a member of several Austrian research networks as well as a special research area and a doctoral college of the FWF. In addition, Robert Tichy is interested in the history of mountaineering and is active in mountaineering himself.

In 1985 he received the Austrian Mathematical Society's sponsorship award . He has been a corresponding member of the Austrian Academy of Sciences since 2004 , and PhD at the University of Debrecen since 2017 . He was visiting professor at the University of Illinois in Urbana - Champaign and at the Tata Institute of Fundamental Research in Bombay . So far, he has supervised over 50 dissertations. In the second half of 2020, Robert Tichy will hold the Jean Morlet Chair at the Center International de Rencontres Mathématiques , a research institute of the CNRS and the SMF near the French city of Marseille .

Fonts (selection)

with Michael Drmota : Sequences, discrepancies and applications. Lecture Notes in Mathematics, 1651 . Springer-Verlag, Berlin, 1997.
with Vitaly Bergelson , Grigori Kolesnik, Manfred Madritsch and Younghwan Son: Uniform distribution of prime powers and sets of recurrence and van der Corput sets in Z ^ k . In: Israel Journal of Mathematics , 201 (2014), 729–760.
with István Berkes and Walter Philipp: Pseudorandom numbers and entropy conditions . In: Journal of complexity , 23 (2007), 516-527.
with Hansjörg Albrecher and Jozef Teugels: On a gamma series expansion for the time-dependent probability of collective ruin . In: Insurance: Mathematics & Economics , 29 (2001), 345–355.
with Yuri Bilu: The diophantine equation f (x) = g (y) . In: Acta arithmetica , 95/3 (2000), 261-288.
with Philippe Flajolet , Peter Grabner, Peter Kirschenhofer and Helmut Prodinger: Mellin transforms and asymptotics: digital sums . In: Theoretical computer science , 123/2 (1994), 291-314.
A metric set of completely evenly distributed sequences . In: Acta arithmetica , 48/2 (1987), 197-207.
with Harald Niederreiter : Solution of a problem of Knuth on complete uniform distribution of sequences . In: Mathematika , 32/1 (1985), 26-32.
with Helmut Prodinger: Fibonacci numbers of graphs . In: The Fibonacci quarterly , 20/1 (1982), 16-21.
with Johannes Wallner: Johannes Frischauf - a colorful personality in mathematics and alpinism . In: Internat. Math. News . No. 210 (2009), pp. 21-32. Full text at www.geometrie.tugraz.at (PDF; 925 kB).

Web links

personal data
SURNAME	Tichy, Robert
ALTERNATIVE NAMES	Tichy, Robert Franz (full name)
BRIEF DESCRIPTION	Austrian mathematician
DATE OF BIRTH	September 30, 1957
PLACE OF BIRTH	Vienna