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1986 | PhD, ETH Zürich, Switzerland | 1986 - 1988 | Irvine Visiting Assistant Professor, University of California, Irvine, CA, USA | 1988 - 1991 | Researcher, University of Bonn | 1991 - 1992 | Researcher, University of Bochum | 1992 - 1995 | Deputy Head, RG Interacting Random Systems, Weierstrass Institute for Applied Analysis and Stochastics, Berlin | 1995 - 2008 | Head, RG Interacting Random Systems, Weierstrass Institute for Applied Analysis and Stochastics, Berlin | 1995 | Habilitation, TU Berlin | 2003 - 2008 | Professor (C4), TU Berlin | Since 2008 | Professor (W3), University of Bonn |
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My research focuses on probability theory and its applications in physics and biology. A major topic I have been working on is the statistical mechanics of disordered systems, both from the equilibrium and the dynamical point of view. This requires in particular the analysis of the structure of the extreme values of the underlying random fields. The recent book [1] reviews a large body of work with various co-authors where we answered such questions in the context of certain Gaussian processes, in particular branching Brownian motion. A second topic is the theory of metastability, a common and important phenomenon occurring in non-linear stochastic dynamics. We developed a new approach to the analysis of metastability, the so-called potential theoretic approach. The theory and numerous applications are presented and summarised in a recent monograph with Frank den Hollander [2].
In the coming years I plan to shift the focus of my interest more on problems from the life
sciences. We have already started to work on a class of interacting spatial branching processes in inhomogeneous environments that are motivated by the biological theory of adaptive dynamics, that attempts to describe the qualitative features of evolving biological populations.
A major result we obtained recently with Martina Baar and Nicolas Champagnat [3] is the derivation of the so-called canonical equation of adaptive dynamics in a joint limit of large populations, small mutation rates, and small mutation steps. Using similar models, we have also initiated a collaboration with oncologists on the modelling of the evolution of cancer under treatment [4]. This poses numerous challenging problems both with respect to modelling, and the mathematical analysis of these models.
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DFG Priority Program SPP 1590 “Probabilistic structures in evolution”
Project leader, since 2012
DFG Collaborative Research Center CRC 1060 “The Mathematics of Emergent Effects”
Project leader, since 2013
DFG Cluster of Excellence “ImmunoSensation”
Principal Investigator, since 2014
DFG Cluster of Excellence “Hausdorff Center for Mathematics”
Principal Investigator, since 2014
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[ 1] Anton Bovier
Gaussian processes on trees From spin glasses to branching Brownian motion of Cambridge Studies in Advanced Mathematics : x+200 Publisher: Cambridge University Press, Cambridge 2017 ISBN: 978-1-107-16049-1 DOI: 10.1017/9781316675779[ 2] Anton Bovier, Frank den Hollander
Metastability A potential-theoretic approach of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] : xxi+581 Publisher: Springer, Cham 2015 ISBN: 978-3-319-24775-5; 978-3-319-24777-9 DOI: 10.1007/978-3-319-24777-9[ 3] Martina Baar, Anton Bovier, Nicolas Champagnat
From stochastic, individual-based models to the canonical equation of adaptive dynamics in one step Ann. Appl. Probab. , 27: (2): 1093--1170 2017 DOI: 10.1214/16-AAP1227[ 4] Martina Baar, Loren Coquille, Hannah Mayer, Michael Hölzel, Meri Rogava, Thomas Tüting, Anton Bovier
A stochastic model for immunotherapy of cancer Scientific Reports , 6: : 24169 2016[ 5] Louis-Pierre Arguin, Anton Bovier, Nicola Kistler
The extremal process of branching Brownian motion Probab. Theory Related Fields , 157: (3-4): 535--574 2013 DOI: 10.1007/s00440-012-0464-x[ 6] Michael Hölzel, Anton Bovier, Thomas Tüting
Plasticity of tumour and immune cells: a source of heterogeneity and a cause for therapy resistance? Nat. Rev. Cancer , 13: (5): 365--376 2013[ 7] Anton Bovier, Véronique Gayrard
Convergence of clock processes in random environments and ageing in the p-spin SK model Ann. Probab. , 41: (2): 817--847 2013 DOI: 10.1214/11-AOP705[ 8] Anton Bovier
Statistical mechanics of disordered systems A mathematical perspective of Cambridge Series in Statistical and Probabilistic Mathematics : xiv+312 Publisher: Cambridge University Press, Cambridge 2006 ISBN: 978-0-521-84991-3; 0-521-84991-8 DOI: 10.1017/CBO9780511616808
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• Journal of Statistical Physics (Editorial Board, 1996 - 1999)
• Markov Processes and Related Fields (Editorial Board, since 1996)
• Electronic Journal of Probability (Editorial Board, 2006 - 2014)
• Electronic Communications in Probability (Editorial Board, 2006 - 2014, Chief Editor, 2012 - 2014)
• Annales Henri Poincaré (Editorial Board, since 2012)
• ALEA, Brazilian Journal of Probability (Editorial Board, since 2013)
• Stochastic Processes and Applications (Area Editor, since 2018)
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2008 - 2012 | Member of the Review Board for Mathematics, German Research Council | 2008 - 2014 | Member of the Selection Committee, Minerva Foundation | 2009 | Eurandom Chair, Technical University of Eindhoven, Netherlands | 2010 | Lady Davies Visiting Professor, Technion, Haifa, Israel | 2012 | Kloosterman Chair, Leiden University, Netherlands | 2013 | Elected Fellow, Institute of Mathematical Statistics | 2014 - 2020 | Member of the Award Committee for the “Heinz Maier Leibnitz Prize” of the German Research Foundation (DFG) | 2015 - 2017 | IMS Committee on Fellows | 2018 | Top Global Distinguished Visiting Professor, Kyoto University |
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2006 | Invited talk, International Congress of Mathematicians, Madrid, Spain | 2010 | Plenary talk, Annual meeting of German Mathematical Society, Munich | 2014 | Plenary talk, 37th Conference on Stochastic Processes and their Applications, Buenos Aires, Argentina |
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2002 | Professor, University of Groningen, Netherlands |
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Véronique Gayrard (2000), now Directeur de Recherche, CNRS, Marseille, France
Christof Külske (2001), now Professor, University of Bochum
Barbara Gentz (2003), now Professor, University of Bielefeld
Irina Kourkova (2004), now Professor, University of Paris VI, France
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Véronique Gayrard (1992),
now Directeur de Recherche, CNRS, Marseille, France
Christof Külske (1993): “Renormierungsgruppenanalyse zur Untersuchung der Stabilität von Oberflächen in ungeordneten Medien”,
now Professor, University of Bochum
Anton Klimovsky (2008): “Sums of Correlated Exponentials: Two Types of Gaussian Correlation Structures”,
now Lecturer, University of Duisburg-Essen
Martin Slowik (2012): “Contributions to the Potential Theoretic Approach to Metastability with Applications to the Random Field Curie-Weiss-Potts Model”,
now Researcher, TU Berlin
Giacomo di Gesù (2013): “Semiclassical spectral analysis of discrete Witten Laplacians”,
now École Nationale des Ponts et Chaussées, Paris, Champs-sur-Marne, France
Adela Svejda (2014): “Contributions to the study of ageing in disordered systems”,
now ZHAW School of Engineering, Zürich, Switzerland
Hannah Mayer (2016): “Contributions to Stochastic Modelling in the Immune System”,
now Researcher, Bayer Research
Patrick Müller (2016): “Hydrodynamic Limit, Propagation of Chaos, Energy Landscape and Large Deviations”,
now Boston Consulting
Lisa Hartung (2016): “Brownian motion and friends”,
now Associate Professor, University of Mainz
Martina Baar (2017): “Stochastic, individual-based models and macroscopic approximations for adaptive dynamics with applications in cancer immunotherapy”,
now Ford, Cologne
Rebecca Ströfer (2017): “The fate of a recessive allele in a Mendelian diploid Model”, now DGLR
Kaveh Bashiri (2020): ''Gradient Flows, Metastability and Interacting Particle Systems'', now Bundesnetzagentur
Anna Kraut (2020): ''Stochastic and deterministic models for
the evolution of heterogeneous populations:
Multiscale approximation and
applications to melanoma T-cell therapy''.
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- Master theses: 14
- Diplom theses: 18
- PhD theses: 17, currently 5
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