Robert F. Tichy's Homepage




List of current courses and lectures
Lecture notes
Office: +43/316/873/7120
Fax: +43/316/873/7126
email: tichy@tugraz.at


my address:

Institut für Mathematik A
Technische Universität Graz
Steyrergasse 30
A-8010 Graz
Austria


Research Interests

Uniform Distribution and Discrepancy
Diophantine Equations
Asymptotic Analysis
Algorithmic Number Theory
Fractal Structures in Number Theory
Stochastic Analysis
Information Based Complexity
Quasi-Monte Carlo Methods
Mathematics in Finance and Insurance

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) (2005- )
Dean (Faculty of Science, TU Graz, 2003), Dean of the Faculty of Mathematical and Physical Sciences (2004- )
Member of the Curatorium of the FWF (Austrian Science Foundation) (2005)

Editorial Duties

Journal of Number Theory (1991 - 2000)
Journal de Théorie des Nombres, Bordeaux
Monatshefte für Mathematik (advisory board)
Mathematica Slovaca
Fibonacci Quarterly
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, 2006- )

Professional Positions and Awards

Ph.D. University of Vienna (1979)
Life-Insurance consultant (1979-1981)
Assistant (Vienna, 1980-1983)
Lecturer on Actuarial Sciences (Linz, 1980)
Award of the Austrian Mathematical Society (1985)
Dozent (TU Vienna, 1983-1990)
Full Professor (TU Graz, since 1990)
Visiting Positions: Salzburg (1986), Tata Institute Bombay (1992), Marseille (1993, 1995), Debrecen (1997), University of Illinois (Urbana-Champaign, 2000)
Member of the New York Academy of Sciences (1997-2002)
Corresponding Member of the Austrian Academy of Sciences (2004- )

Selected Publications

Extremal Problems for Topological Indices in Combinatorial Chemistry, J. of Comp. Biol. 12 (7), (2005), 1002-1011, with S. Wagner
Large null sets in metric spaces, J. Math. Anal. Appl. 305, (2005), 424-437, with L. Misik
Spectral disjointness of dynamical systems related to some arithmetic functions, Publicationes Mathematicae Debrecen, 66/1-2 (2005), 213-244, with P. Grabner and P. Liardet
Quasi-Monte Carlo techniques for CAT bond pricing, Monte Carlo Methods & Appl. 10 (3-4), (2004), 197-211, with H. Albrecher and J. Hartinger
Diophantine equations involving general Meixner and Krawtchouk polynomials, Quaestiones Mathematicae, 27 (2004), 105-115, with Th. Stoll
The Diophantine Equation $\alpha{x\choose m}+\beta{y\choose n}=\gamma$, Publicationes Mathematicae Debrecen, 64 (2004), 155-165, with Th. Stoll
Quasi-Monte Carlo Algorithms for unbounded, weighted integration problems, Journal of Complexity 20, (2004), 654-668, with J. Hartinger and R. Kainhofer
Diophantine equations for classical continuous orthogonal polynomials, Indag. Math., N.S. 14 (2003), 263-274, with Th. Stoll
Discrepancies of point sequences on the Sierpinski carpet, Mathematica Slovaca, 53 (2003), No. 4, 351-367, with L.L. Cristea
Simulation methods in ruin models with non-linear dividend barriers, Math. Comp. Sim. 62 (2003), 277-287, with H. Albrecher and R. Kainhofer
Perfect powers in linear recurring sequences, Acta Arith., 107.1 (2003), 9-25, with C. Fuchs
Thomas' family of Thue equations over imaginary quadratic fields, J. Symbolic Comput., 34 (2002), 437-449, with C. Heuberger and A. Pethö
On the diophantine equation Gn(x)=Gm(P(x)), Monatsh. Math. 137 (2002), 173-196, with C. Fuchs and A. Pethö
Diophantine Equations and Bernoulli Polynomials (with an appendix by A. Schinzel), Compositio Mathematica 131 (2002), 173-188, with Y. Bilu, B. Brindza, P. Kirschenhofer and A. Pintér
A Model in Ruin Theory using Derivative Securities, Mitt. der Vereinigung Schweizer Versicherungsmath. 1 (2002), with T. Siegl
Combinatorial and Arithmetical Properties of Linear Numeration Systems, Combinatorica 22 (2002), 245-267, with P.J. Grabner and P. Kirschenhofer
Metric Theorems for Distribution Measures of Pseudorandom Sequences, Monatsh. Math. 135 (2002), 321-326, with W. Philipp
On a Gamma Series Expansion for the Time-Dependent Probability of Collective Ruin, Insurance: Mathematics & Economics 29 (2001), 345-355, with H. Albrecher and J.L. Teugels
Fractal Properties of Number Systems, Periodica Math. Hung. 40 (2001), 51-68, with W. Müller and J. Thuswaldner
Diophantine Equations for Second Order Recursive Sequences of Polynomials, Quarterly J. Oxford, 53 (2001), 161-169, with A. Dujella
Pair correlations and U-statistics for independent and weakly dependent random variables, Illinois J. Math. vol. 45, nr. 2, (2001), 559-580, with I. Berkes and W. Philipp
Zur Konvergenz eines Lösungsverfahrens für ein Risikomodell mit gammaverteilten Schäden, Mitt. Schweiz. Aktuarvereinigung, 2 (2000), 115-128, with H. Albrecher
Octahedrons with equally many lattice points, Periodica Math. Hung., 40 (2000), 229-238, with Y.F. Bilu and Th. Stoll
An Erdös-Kac theorem for systems of q-additive functions, Indag. Mathem., N.S., 11 (2000), 283-291, with J.M. Thuswaldner
The Diophantine equation f(x) = g(y), Acta Arith., 95 (2000), 261-288, with Y.F. Bilu
Ruin theory with risk proportional to the free reserve and securitization, Insurance Mathematics & Economics, 26 (2000), 59-73, with Th. Siegl
Effective solution of families of Thue equations containing several parameters, Acta Arith., 91 (1999), 147-163, with C. Heuberger
A process with stochastic claim frequency and a linear dividend barrier, Insurance: Mathematics and Economics 24 (1999), 51-65, with Th. Siegl
Thue Equations associated with Ankeny-Brauer-Chowla Number Fields, Journal London Math. Soc. (2) 60 (1999), 1-20, with F. Halter-Koch, G. Lettli and A. Pethö
Asymptotic analysis of a subclass of functional equations, Aequationes Math. vol. 55 (1998), 1/2, 91-105, Birkhäuser with G. Derfel, J.M. Thuswaldner and F. Vogel
Equidistribution and Brownian Motion on the Sierpinski Gasket, Monatsh. Math. 125 (1998) 147-164, with P. Grabner
Sequences, Discrepancies and Applications, Lecture Notes in Mathematics, vol. 1651, Springer (1997), with M. Drmota
Lösungsverfahren eines Risikomodelles bei exponentiell fallender Schadensverteilung, Mitt. der Vereinigung Schweizer Versicherungsmath. 1 (1996) 95-118, with Th. Siegl
Quasi-Monte-Carlo Methods and the Dispersion of Point Sequences, Journal for Mathematical and Computer Modeling, 23 (1996), 9-23, with G. Rothe
Odometers and systems of numeration, Acta Arith., 70 (1995), 103-123, with P. Grabner and P. Liardet
Spherical Designs, Discrepancy and Numerical Integration, Math. Comp. Vol. 60 / 201 (1993), 327-336, with P. Grabner
Uniform Distribution Preserving Maps, Acta Arith. 60 (1991), 177-189, with R. Winkler
Deviations from uniformity in random strings, Probability Th. and Rel. Fields, 80 (1988), 139-150, with P. Flajolet and P. Kirschenhofer
Ein metrischer Satz über vollständig gleichverteilte Folgen, Acta Arith. 48 (1987), 197-207

My Family


Philipp und Sophie im Gebirge (2002):
Philipp und Sophie im Gebirge

Philipp und Sophie beim Schifahren (2002):
Philipp und Sophie beim Schifahren

February 2004:
Philipp und Sophie beim Schifahren Philipp und Sophie beim Schifahren

Carneval 2004:
Philipp and Sophie at Carneval 2004

Im Klettergarten (2005):

Mit Philipp Klettern am Gardasee (2006):



Mit Sophie in Paris (2006):

Sophie und der Denker:


Hiking and mountain climbing:
Mount Grimming
You might also like to have a look at some more photographs taken at regular mountain tours.
Also, look at some pictures from South Africa (2003)

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