Josef Hofbauer

I was born in 1956 in Lower Austria and grew up between Traismauer (an old town) and Nussdorf ob der Traisen. My mathematics teacher Dr. Hubert Unfried at the Piaristengymnasium in Krems an der Donau nurtured my interest in mathematics, in particular by guiding me to Mathematical Olympiads.

From 1974 to 1978 I studied mathematics at the University of Vienna and did my Ph.D. under Prof. Johann Cigler on extensions of the binomial theorem and umbral calculus. One of my old combinatorial papers (on Lagrange Inversion ) has become available on the WWW, thanks to my colleague Christian Krattenthaler.

Since 1979 I have been working at the Department of Mathematics of the University of Vienna, first as assistant and since 1985 as Dozent. In 1996 I received the title Außerordentlicher Universitätsprofessor. From 2006 until 2021 I was Professor for Biomathematics at the University of Vienna.

Stays outside and abroad

winter term 1980: postdoc at Peter Schuster's department of theoretical chemistry
Summer 1984: YSSP at the International Institute for Applied Systems Analysis (IIASA), Laxenburg
1985/86: visiting professor resp. Erwin-Schrödinger scholar at Northwestern University in Evanston, Illinois (special year on Dynamical Systems)
Fall term 1988: visiting professor at the University of Alberta in Edmonton, Canada.
1994/95: Research Fellow at Collegium Budapest - Institute for Advanced Study
Spring 2002: visiting professor at the Ecole Polytechnique in Paris
Jan 2004 - Sept 2006: Chair of Mathematical Biology at University College London
Spring 2009: visiting professor at the Ecole Polytechnique in Paris
February 2012: visiting professor at Universite de Pierre et Marie Curie in Paris
Summer 2013: visitor at the Hausdorff Institute in Bonn
February 2015: visitor at SUSTC in Shenzhen, China


I am mainly interested in dynamical systems (qualitative theory of differential equations) and their applications to biomathematics, in particular population dynamics (permanence), and evolutionary game theory.
My collaboration with Karl Sigmund since 1978 resulted in the book
The Theory of Evolution and Dynamical Systems
(Cambridge University Press 1988) which presents a unified approach to four different areas of mathematical biology (population genetics, population ecology, chemical kinetics of macromolecules, and evolutionary game dynamics) through its common basic dynamic model: the Lotka-Volterra and replicator equations.

A largely revised, reorganized and updated edition appeared in May 1998 under the title

Evolutionary Games and Population Dynamics

More recently I collaborate with Balázs Boros on chemical reaction networks.

I am/was member of the editorial board of Selection ,
the International Journal of Game Theory , Games and Economic Behavior ,
Discrete and Continuous Dynamical Systems - B , the Monatshefte für Mathematik, and Games.
For more information see here .

Member of the
Society of the Erwin Schrödinger Institute for Mathematical Physics
and the The Game Theory Society,
Research fellow at ELSE.
My Erdős number is 3, see Famous Trails to Paul Erdős (p.14-15).
Finally some links to my recent publications (most for downloading),
a list of my graduate students and collaborators.
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