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| 1990 - 1992 | Scientific Assistant, University of Mainz | | 1992 | PhD, University of Mainz | | 1992 - 1995 | Feodor-Lynen Fellowship (Humboldt Stiftung), University of California, San Diego, CA, USA | | 1995 - 1996 | Scientific Assistant, University of Mainz | | 1996 - 1997 | Miller Research Fellow, University of California, Berkeley, CA, USA | | 1996 - 1999 | Associate Professor, University of California, San Diego, CA, USA | | 1999 - 2004 | Professor, University of California, San Diego, CA, USA | | Since 2004 | Professor, University of California, Berkeley, CA, USA | | Since 2008 | Scientific Member and Director, Max Planck Institute for Mathematics, Bonn |
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I study the impact of physics on topology. One focus is on classification results for knots, links and 4-dimensional manifolds [1,2,3,4,5], particularly by developing the theory of Whitney towers in 4-manifolds with Jim Conant and Rob Schneiderman. We hope that they will become essential tools for the main open problems in dimension 4, the topological surgery sequence for arbitrary fundamental groups as well as the smooth Schoenfliess conjecture.
Another focus is on developing a mathematical notion of super symmetric quantum field theories, joint with Stephan Stolz and many others [6,7,8,9,10]. We are relating the spaces of specific types of geometric field theories to the classifying spaces of certain generalized cohomology theories. The hope is that successful tools of algebraic topology will be able to predict interesting results about the deformation classes of quantum field theories. Currently, we are connecting the world of factorization algebras to our notion of field theories, allowing us to express many physically relevant field theories our language.
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Arbeitstagung on Physical Mathematics in honor of Yuri Manin,
Max Planck Institute for Mathematics in Bonn, June 19-23, 2017
“4-Manifolds and knot concordance”,
workshop organized at the Max-Planck Institute for Mathematics in Bonn, October 17-21, 2016
Trimester program “Homotopy theory, manifolds and field theories”,
Hausdorff Institute for Mathematics, Bonn, May - August, 2015,
organized jointly with Soren Galatius, Haynes Miller and Stefan Schwede
Oberwolfach Workshops on “Topology” and “Topology and quantum field theory”
Organizer, 2010, 2012, 2014, 2016, 2018
Speaker of the International Max Planck Research School on “Moduli Spaces”
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[ 1] Michael H. Freedman, Peter Teichner
4-manifold topology. I. Subexponential groups
Invent. Math. , 122: (3): 509--529
1995
DOI: 10.1007/BF01231454[ 2] Peter Teichner
Knots, von Neumann signatures, and grope cobordism
Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002)
Publisher: Higher Ed. Press, Beijing
2002[ 3] Tim D. Cochran, Kent E. Orr, Peter Teichner
Knot concordance, Whitney towers and L2-signatures
Ann. of Math. (2) , 157: (2): 433--519
2003
DOI: 10.4007/annals.2003.157.433[ 4] James Conant, Rob Schneiderman, Peter Teichner
Whitney tower concordance of classical links
Geom. Topol. , 16: (3): 1419--1479
2012
DOI: 10.2140/gt.2012.16.1419[ 5] J. Conant, R. Schneiderman, P. Teichner
Milnor invariants and twisted Whitney towers
J. Topol. , 7: (1): 187--224
2014
DOI: 10.1112/jtopol/jtt025[ 6] Stephan Stolz, Peter Teichner
What is an elliptic object?
Topology, geometry and quantum field theory
of London Math. Soc. Lecture Note Ser. : 247--343
Publisher: Cambridge Univ. Press, Cambridge
2004
DOI: 10.1017/CBO9780511526398.013[ 7] Henning Hohnhold, Stephan Stolz, Peter Teichner
From minimal geodesics to supersymmetric field theories
A celebration of the mathematical legacy of Raoul Bott
of CRM Proc. Lecture Notes : 207--274
Publisher: Amer. Math. Soc., Providence, RI
2010[ 8] Henning Hohnhold, Matthias Kreck, Stephan Stolz, Peter Teichner
Differential forms and 0-dimensional supersymmetric field theories
Quantum Topol. , 2: (1): 1--41
2011
DOI: 10.4171/QT/12[ 9] Stephan Stolz, Peter Teichner
Supersymmetric field theories and generalized cohomology
Mathematical foundations of quantum field theory and perturbative string theory
of Proc. Sympos. Pure Math. : 279--340
Publisher: Amer. Math. Soc., Providence, RI
2011
DOI: 10.1090/pspum/083/2742432[ 11] Jim Conant, Rob Schneiderman, Peter Teichner
Cochran's β^i-invariants via twisted Whitney towers
J. Knot Theory Ramifications , 26: (2): 1740012, 28
2017
DOI: 10.1142/S0218216517400120[ 12] Daniel Kasprowski, Markus Land, Mark Powell, Peter Teichner
Stable classification of 4-manifolds with 3-manifold fundamental groups
Journal of Topology , 10: (3): 827--881
2017
ISSN: 1753-8424
DOI: 10.1112/topo.12025 |
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• Geometry & Topology (since 2004)
• Forum of Mathematics, Sigma and Pi (since 2012), Open Access Journals
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| 2002 | Invited speaker, International Congress of Mathematicians, Beijing, China | | 2008 | Plenary speaker, Annual Meeting of the AMS, San Diego, CA, USA | | 2008 | Three “Simons Lectures”, Massachusetts Institute of Technology, MA, USA | | 2012 | Three “Andrzej Jankowski Memorial Lectures”, Unversity of Gdansk, Poland | | 2012 | Two “Ritt Lectures”, Columbia University, NYC, USA |
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| 1999 | University of Heidelberg | | 2004 | Stanford University, CA, USA | | 2006 | ETH Zürich, Switzerland |
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Arthur Bartels (1999): “Link Homotopy In Codimension Two”,
now Professor (W3), University of Münster
Fei Han (2008): “Supersymmetric QFTs, Super Loop Spaces and Bismut-Chern Character”,
now Associate Professor, National University of Singapore
Chris Schommer-Pries (2009): “The Classification of Two-Dimensional Extended Topological Field Theories”,
now Assistant Professor, Notre Dame University, South Bend, Indiana, USA
Dmitri Pavlov (2011): “A decomposition theorem for noncommutative Lp-spaces and a new symmetric monoidal bicategory of von Neumann algebras”,
now Assistant Professor, Texas Tech University, USA
Qin Li (2011): “Pontrjagin forms on certain string homogeneous spaces”,
now Assistant Professor, Southern University of Science and Technology, Shenzhen, China
Dan Berwick-Evans (2013): “Supersymmetric sigma models, partition functions and the Chern-Gauss-Bonnet Theorem”,
now Assistant Professor, University of Illinois at Urbana-Champaign, USA
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- Master theses: 7, currently 1
- PhD theses: 18, currently 7
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