The Biomathematics Group


Faculty of Mathematics

University of Vienna

Oskar-Morgenstern-Platz 1

1090 Wien, Austria


Attention: A call Vienna Research Group Leader "Mathematics and..." has been opened. A potential hosting lab will be The Biomathematics Group at the University of Vienna.

For detailed information, visit

Contact person: Professor Joachim Hermisson




Reinhard Bürger

Joachim Hermisson

Josef Hofbauer

Sylvain Mousset

Christian Schmeiser

Karl Sigmund (retired)


Diane Peurichard

Jitka Polechová

Tatsuya Sasaki

Meike Wittman

Swati Patel


PhD students

Ilse Höllinger

Martin Pontz

Derek Setter

Former members

Simon Aeschbacher, Ada Akerman, Alexandre Blanckaert,  Ludwig Geroldinger, Christian Hilbe, Ryusuke Kon, Michael Kopp, Sebastian Matuszewski, Sebastian Novak, Dietmar Oelz, Stephan Peischl, Peter Pfaffelhuber, Agnes Rettelbach, Claus Rueffler, Kristan Schneider, Mathias Staudigl, Linlin Su, Hannes Svardal, Hildegard Uecker, Boyu Zhang

Research topics

Population genetics

Evolutionary game theory

Mathematical ecology

Dynamical systems and their applications in biology and economics

PDE models of cell movement


Arbeitsgemeinschaft Biomathematik (Tuesday seminar series)

evolV ienna

Vienna Graduate School of Population Genetics


Hofbauer J & K Sigmund (1988)  The Theory of Evolution and Dynamical Systems. Cambridge University Press

Sigmund K (1995)  Games of Life. Penguin

Hofbauer J & K Sigmund (1998)  Evolutionary Games and Population Dynamics. Cambridge University Press 

Bürger R (2000)  The Mathematical Theory of Selection, Recombination, and Mutation. Wiley, Chichester

Sigmund K (2010)  The Calculus of Selfishness. Princeton University Press

Selected publications

Aeschbacher S & R Bürger (2014) The effect of linkage on establishment and survival of locally beneficial mutations. Genetics 197, 317-336

Akerman A & R Bürger (2014) The consequences of gene flow for local adaptation and differentiation: a two-locus two-deme model. J. Math. Biol. 68, 1135-1198

Bank C, R Bürger & J Hermisson (2012) The limits to parapatric speciation: Dobzhansky-Muller incompatibilities in a continent-island model. Genetics 191, 845–863

Benaim M, J Hofbauer & S Sorin (2012): Perturbations of set-valued dynamical systems, with applications to game theory. Dynamic Games and Applications 2, 195-205

Geroldinger L & Bürger (2015) Clines in quantitative traits: The role of migration patterns and selection scenarios. Theor. Popul. Biol. 99, 43-66

Hilbe C, MA Nowak & K Sigmund (2013) Evolution of extortion in iterated prisoner’s dilemma games. PNAS 110, 6913-6918

Hofbauer J & Su L (2015) Global stability in diallelic migration–selection models. J. Math. Anal. Appl. 428, 677–695

Hofbauer J (2011) Deterministic evolutionary game dynamics. In: Evolutionary Game Dynamics. Proc. Symp. Appl. Math, vol. 69, pp. 61-79. Amer. Math. Soc., Providence

Jones AG, R Bürger & SJ Arnold (2014) Epistasis and natural selection shape the mutational architecture of complex traits. Nat. Commun. 5:3709

Matuszewski S, J Hermisson & M Kopp (2014) Fisher’s geometric model with a moving optimum. Evolution 68, 2571-2588

Matuszewski S, Hermisson  & Kopp M (2015) Catch me if you can: Adaptation from standing genetic variation to a moving phenotypic optimum. Genetics: 200:1255-1274

Oelz D & C Schmeiser (2012) Simulation of lamellipodial fragments J. Math. Biol. 64, 513-528

Rettelbach A, M Kopp, U Dieckmann & J Hermisson (2013) Three modes of adaptive speciation in spatially structured populations. American Natur. 182, E215-E234

Rueffler C, J Hermisson & GP Wagner (2012) Evolution of functional specialization and division of labor. PNAS 109(6), E326-E335

Sasaki T & Uchida (2013) The evolution of cooperation by social exclusion. Proc. R. Soc. B 280, no. 1752

Servedio M & R Bürger (2014) The counterintuitive role of sexual selection in species maintenance and speciation. PNAS 111, 8113-8118

Uecker H, Otto SP & J Hermisson (2014) Evolutionary rescue in structured populations. The American Natur. 183, E17-E35

Uecker H, Setter D & Hermisson J (2015) Adaptive gene introgression after secondary contact.  J. Math. Biol. 70, 1523-1580

Svardal H, Rueffler C & Hermisson J (2015) A general condition for adaptive genetic polymorphism in temporally and spatially heterogeneous environments. Theor. Popul. Biol. 99: 76-97