The Biomathematics Group


Faculty of Mathematics

University of Vienna

Oskar-Morgenstern-Platz 1

1090 Wien, Austria




Reinhard Bürger

Joachim Hermisson

Josef Hofbauer

Jörg Menche

Sara Merino-Aceituno

Emmanuel Schertzer

Christian Schmeiser

Karl Sigmund (retired)


Balázs Boros,

Stefan Müller

Diane Peurichard

Jitka Polechová

Himani Sachdeva


PhD students

Hannah Götsch

Martin Pontz

Ben Wölfl

Former members

Simon Aeschbacher, Ada Akerman, Alexandre Blanckaert, Ludwig Geroldinger, Christian Hilbe, Ilse Höllinger, Ryusuke Kon, Michael Kopp, Sebastian Matuszewski, Sylvain Mousset, Sebastian Novak, Dietmar Oelz, Swati Patel, Stephan Peischl, Peter Pfaffelhuber, Agnes Rettelbach, Claus Rueffler, Tatsuya Sasaki, Kristan Schneider, Derek Setter, Mathias Staudigl, Linlin Su, Hannes Svardal, Hildegard Uecker, Meike Wittman, 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

Sigmund K (2017) Games of Life: Explorations in Ecology, Evolution and Behavior. Courier Dover Publications

Sigmund K (2018)  Sie nannten sich Der Wiener Kreis: Exaktes Denken am Rand des Untergrunds. Springer Verlag

Selected publications

Blanckaert A & J Hermisson (2018) The limits to parapatric speciation II: Strengthening a preexisting genetic barrier to gene flow in parapatry. Genetics 209, 241-254

Boros B, J Hofbauer (2019): Planar S-systems: Permanence. J. Differential Equations 266, 3787-3817.

Bürger, R (2017): Two-locus clines on the real line with a step environment. Theoretical Population Biology 117, 1-22

Hilbe C, A Traulsen & K Sigmund (2015) Partners of rivals: strategies for the iterated prisoner’s dilemma. Games and Economic Behavior 92, 41 - 52

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

Hofbauer J (2018) Minmax via replicator dynamics. Dynamic Games and Applications 8, 637–640

Höllinger I., Pennings PS & Hermisson J (2019) Polygenic adaptation: From sweeps to subtle frequency shift. PLoS Genetics 15(3): e1008035

Jones AG, R Bürger & SJ Arnold (2019) The effects of epistasis and pleiotropy on genome-wide scans for adaptive outlier loci. J. of Heredity 110, 493-513

JH Lee, Y Iwasa, U Dieckmann & K Sigmund (2019) Social evolution leads to persistent corruption. PNAS

Matuszewski S, Hermisson & M Kopp (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

Patel S, Bürger R (2019): Eco-evolutionary feedbacks between prey densities and linkage disequilibrium in the predator maintain diversity. Evolution 73, 1533-1548

Pisa H, Hermisson J & J Polechova (2019) The influence of fluctuating population densities on evolutionary dynamics. Evolution 73, 1341–1355

Pontz M, J Hofbauer & R Bürger (2018) Evolutionary dynamics in the two-locus two-allele model with weak selection. J. Math. Biol. 76, 151–203

Servedio M & R Bürger (2018) The effects on parapatric divergence of linkage between preference and trait loci versus pleiotropy. Genes 9(4), 217

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

Su L, K-Y Lam & R Bürger (2019): Two-locus clines maintained by diffusion and recombination in a heterogeneous environment. J. Differential Equations 266, 7909-7947

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