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| 1987 | Diploma, University of Mainz | | 1990 | PhD, University of Heidelberg | | 1990 - 1993 | Research Fellow, LMU and TU Munich | | 1993 - 1994 | Research Fellow, Harvard University, Cambridge, MA, USA | | 1994 - 1996 | Research Fellow, CERN TH-Division, Geneva, Switzerland | | 1996 - 1998 | Research Fellow, Enrico Fermi Institute, Chicago, IL, USA | | 1998 | Habilitation, LMU Munich | | 1998 - 2000 | Heisenberg Fellow, Institute for Advanced Study, Princeton, NJ, USA | | 2000 - 2003 | Professor (C3), HU Berlin | | 2003 - 2006 | Associate Professor, University of Madison, WI, USA | | 2006 - 2007 | Professor, University of Madison, WI, USA | | Since 2007 | Professor (W3), University of Bonn |
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Super String Theory is a mayor attempt to unify gauge theories with quantum gravity. Compactifications of string theory on varieties with special holonomy including calibrated submanifolds leads to quantum theories in various dimensions. Mathematical well defined sub-sectors of these theories are the topological string- and field theories. Their correlators determine topological invariants of the geometric setting. Often are different physical formulations with different manifest symmetries and duality symmetries among them available. Based on these we extended the methods to calculate the correlators exactly, such as mirror symmetry, the string/gauge theory correspondence, the modular-- and the integrable system approach. In particular using the string/gauge theory correspondence we provided with the topological vertex and the topological recursions two major tools, which are widely in use. We used mirror symmetry and the modular approach to obtain high genus amplitudes on compact Calabi-Yau spaces and showed that the all genus topological string amplitudes on elliptically fibred Calabi-Yau spaces can be expressed in terms of meromorphic Jacobi forms.
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DFG Project KL2271/1-1: “Exakte Methoden in Eich- und String-Theorien”
Bethe Center for Theoretical Physics
Member
DFG Cluster of Excellence “Hausdorff Center for Mathematics”
Principal Investigator
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[ 1] A. Klemm, D. Maulik, R. Pandharipande, E. Scheidegger
Noether-Lefschetz theory and the Yau-Zaslow conjecture
J. Amer. Math. Soc. , 23: (4): 1013--1040
2010
DOI: 10.1090/S0894-0347-2010-00672-8[ 2] Mina Aganagic, Albrecht Klemm, Marcos Mariño, Cumrun Vafa
The topological vertex
Comm. Math. Phys. , 254: (2): 425--478
2005
DOI: 10.1007/s00220-004-1162-z[ 3] Vincent Bouchard, Albrecht Klemm, Marcos Mariño, Sara Pasquetti
Topological open strings on orbifolds
Comm. Math. Phys. , 296: (3): 589--623
2010
DOI: 10.1007/s00220-010-1020-0[ 4] M.-x. Huang, A. Klemm, S. Quackenbush
Topological string theory on compact Calabi-Yau: modularity and boundary conditions
Homological mirror symmetry
of Lecture Notes in Phys. : 45--102
Publisher: Springer, Berlin
2009[ 5] Jie Gu, Hans Jockers, Albrecht Klemm, Masoud Soroush
Knot invariants from topological recursion on augmentation varieties
Comm. Math. Phys. , 336: (2): 987--1051
2015
DOI: 10.1007/s00220-014-2238-z[ 6] Min-xin Huang, Sheldon Katz, Albrecht Klemm
Topological string on elliptic CY 3-folds and the ring of Jacobi forms
J. High Energy Phys. (10): 125, front matter+78
2015
DOI: 10.1007/JHEP10(2015)125[ 7] Jie Gu, Albrecht Klemm, Marcos Mariño, Jonas Reuter
Exact solutions to quantum spectral curves by topological string theory
J. High Energy Phys. (10): 025, front matter+68
2015
DOI: 10.1007/JHEP10(2015)025[ 8] Kentaro Hori, Sheldon Katz, Albrecht Klemm, Rahul Pandharipande, Richard Thomas, Cumrun Vafa, Ravi Vakil, Eric Zaslow
Mirror symmetry
With a preface by Vafa
of Clay Mathematics Monographs : xx+929
Publisher: American Mathematical Society, Providence, RI; Clay Mathematics Institute, Cambridge, MA
2003
ISBN: 0-8218-2955-6[ 9] S. Katz, A. Klemm, R. Pandharipande
On the motivic stable pairs invariants of K3 surfaces
K3 surfaces and their moduli
With an appendix by R. P. Thomas
of Progr. Math. : 111--146
Publisher: Birkhäuser/Springer, [Cham]
2016
DOI: 10.1007/978-3-319-29959-4_6[ 10] Babak Haghighat, Albrecht Klemm, Guglielmo Lockhart, Cumrun Vafa
Strings of minimal 6d SCFTs
Fortschr. Phys. , 63: (5): 294--322
2015
DOI: 10.1002/prop.201500014 |
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• Zeitschrift für Naturforschung A
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| 1998 - 2001 | Heisenberg Fellow, IAS, Princeton, NJ, USA | | 2006 | Andrejewski Lecturer, Berlin and Potsdam | | 2006 | Simons Professor, Berkeley, CA, USA | | 2011 | Guest Professor, École Normale Supérieure, Paris, France | | 2014 | Frederick W. and Lois B. Gehring Visiting Professor, LSA Mathematics, University of Michigan, Ann Arbor, MI, USA | | 2017 | Visiting Professor, École Normale Supérieure, Paris, France | | 2018 | Visiting Professor, MSRI, Berkeley, CA, USA |
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| 2009 | Minicourse “The Topological Vertex and its Applications”, Instituto Superior Técnico, Lisbon, Portugal | | 2009 | Minicourse “Direct Integration in Topological String Theory”, Workshop on “Geometry and Physics”, Chendgu, China | | 2010 | Minicourse “Topological Strings, Modularity and non-perturbative Physics”, Erwin Schroedinger Institute, Vienna, Austria | | 2011 | Minicourse “Topological Gauge and String theories”, ENS Paris, France | | 2011 | “Direct integration in General Omega Backgrounds”, Banff, AB, Canada | | 2011 | String-Math, Philadelphia, PA, USA | | 2014 | String-Math, Edmonton, AB, Canada | | 2015 | “Topological string on elliptic CY 3-folds and the ring of weak Jacobi forms”, in “Motivic invariants related to K3 and abelian geometries”, Berlin | | 2015 | “Elliptically fibred Calabi-Yau and the ring of weak Jacobi Forms”, in Workshop of “Moduli Spaces in algebraic Geometry and Physics”, Tianjin, China | | 2016 | “F-theory at 20”, California Institute of Technology, CA, USA | | 2016 | “Jacobi Forms and Curve Counting”, at the Workshop “Curves on surfaces and 3-folds”, Centre Interfacultaire Bernoulli CIB Lausanne, Switzerland | | 2016 | “Topological String and Jacobi Forms”, Workshop on “Geometric Correspondence of Gauge Theories”, Trieste, Italy |
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| 2003 | University of Colorado, Boulder, CO, USA |
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Ralph Blumenhagen (2002), now Permanent Staff Member, Max Planck Institute for Physics, Munich
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Babak Haghighat (2009): “On Topological String Theory with Calabi-Yau Backgrounds”,
now Postdoc, Harvard University, MA, USA
Denis Klevers (2011): “Holomorphic Couplings In Non-Perturbative String Compactifications”,
now Fellow, CERN, Theoretical Physics Department, Switzerland
Jie Gu (2014): “Braiding knots with topological Strings”,
now Postdoc, LPTHE ENS Paris, France
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- Master theses: 5, currently 2
- Diplom theses: 4
- PhD theses: 12, currently 8
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