HCM: Prof. Dr. Albrecht Klemm

E-mail:	aklemm(at)th.physik.uni-bonn.de
Phone:	+49 228 73 2319
Homepage:	http://www.th.physik.uni-bonn.de/Groups/Klemm/
Room:	PI 127
Location:	Physics Institute
label_download	uploads/tx_bzdstaffdirectory/f845b7f020d1b74b2ee39ca4afc80d0e.pdf
Institute:	Hausdorff Center for Mathematics - HCM
Research Areas:	Research Area A3 Interdisciplinary Research Unit D2
Date of birth:	26.Oct 1960
Mathscinet-Number:	261991

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

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

2003	University of Colorado, Boulder, CO, USA

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

• Zeitschrift für Naturforschung A

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

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.

SS 2011 Quantum Field Theory I
WS 2011 Quantum Field Theory II

Ralph Blumenhagen (2002), now Permanent Staff Member, Max Planck Institute for Physics, Munich

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

Master theses: 5, currently 2
Diplom theses: 4
PhD theses: 12, currently 8

[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 MariÃ±o, 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 MariÃ±o, 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 MariÃ±o, 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: BirkhÃ¤user/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

Publication List