CURRICULUM VITAE Prof. Dr. Marc Burger Personal data Born ...

Personal data
CURRICULUM VITAE
Prof. Dr. Marc Burger
Born: 31.10.1959 in Neuchâtel, Switzerland
Citizenship: Swiss
Positions
- Full professor, ETH Zürich, since 1997
- Member ofthe National Research Council of theSwiss NationalScience Foundation,
since 2005, http://www.snf.ch
- Director of the “Forschungsinstitut für Mathematik”, ETH Zürich, 1999-2009
- Professeur ordinaire, University of Lausanne, 1992-1997
- Invited professor, CUNY Graduate Center, 1991-1992
- Institute for Advanced Study, member, 1990-1991
- Invited assistant professor, Stanford, 1989-1990
- Postdoctoral fellowship, Swiss National Science Foundation, 1989-1991
- Teaching assistant, Basel, 1986-1989
- Fellowship, “collaborateur scientifique” Swiss National Science Foundation, Lau-
sanne, 1984-1986
- Teaching assistant, Lausanne, 1983-1984
Education
- Habilitation: “Small eigenvalues of Riemann surfaces and graphs”, Basel 1990
- Docteur ès Sciences: “Petites valeurs propres du laplacien et topologie de Fell”,
advisor” Prof. Dr. Derighetti, Lausanne, May 1986
- Diplôme de Mathématicien: “Sur les représentations de Weil des groupes Symplec-
tiques”, Lausanne 1983
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- Licence ès Sciences Mathématique, Lausanne 1982
- Undergraduate studies at University of Lausanne, Switzerland, 1978-1982
Memberships of Editorial Boards
- Inventiones Mathematicae, (1994-2005)
- Commentarii Mathematici Helvetici, (since 1997)
- International Mathematics Research Notices, (since 1995)
- Zurich Lectures in Advances Mathematics, (2003-2004)
Committee Work
- Member of the Board of Trustees of the Institut des Hautes Etudes Scientifiques,
Bures-sur-Yvette
- Member of the Scientific Committee of the European Post-Doctoral Institute
- Scientific Advisory Board, University of Vienna
- IMU Committee of Lie Groups, ICM 2006
- Member of the Kuratorium of the Swiss Mathematical Society
- Kommittee for the Pauli Lectures ETH
- Zürich Graduate School Board
- Various hiring committees
Publication Record since 2007
1. (with A. Iozzi). Bounded cohomology and totally real subspaces in complex hyper-
bolic geometry. Ergod. Th. & Dynam. Sys., 32:467–478, 2012.
2. Fundamental groups of Kähler manifolds and geometric group theory. Séminaire
Bourbaki, volume 2009/2010, Exposé 1022, Astérisque 339, 305–321, 2011.
3. Anextension criterionforlatticeactionsonthecircle. Geometry, rigidity, and group
actions, 3–31, Chicago Lectures in Math., Univ. Chicago Press, Chicago, IL, 2011.
2

4. (with A. Iozzi and A. Wienhard). Surface group representations with maximal
Toledo invariant. Ann. Math., 172(1):517–566 , 2010.
5. (with A. Iozzi). A useful formula from bounded cohomology. Géométries à cour-
bure négative ou nulle, groupes discrets et rigidités, 243–292, Sémin. Congr., 18,
Soc. Math. France, Paris, 2009.
6. (with S. Mozes and R.J. Zimmer). Linear representations and arithmeticity of
lattices in products of trees. Essays in geometric group theory. Ramanujan Mathe-
matical Society Lecture Notes Series 9, 1-25 (2009).
7. (with A. Iozzi and A. Wienhard). Tight homomorphisms and Hermitian symmetric
spaces. Geom. Funct. Anal., 19(3):678–721, 2009.
8. (with A. Iozzi). A measurable Cartan theorem and applications to deformation
rigidity in complex hyperbolic geometry. Pure Appl. Math. Q, 4(1):181-202, 2008.
9. (with A. Iozzi and A. Wienhard). Hermitian symmetric spaces and Kähler rigidity.
Transform. Groups, 12(1):5–32, 2007.
10. (with A. Iozzi). Bounded differential forms, generalized Milnor-Wood inequality
and an application to deformation rigidity. Geom. Dedicata, 125:1-23, 2007.
Accepted papers
1. (with N. Ozawa and A. Thom). On Ulam Stability. To appear in Israel Journal of
Math., pp. 17.
2. (withA.IozziandA.Wienhard). HigherTeichmüllerSpaces: fromSL(2,R)toother
Preprints
Lie groups. To appear in “Handbook of Teichmüller Theory, Volume IV”, IRMA
Lectures in Mathematics and Theoretical Physics, A. Papadopoulos ed., pp. 87.
1. (with M. Bucher andA. Iozzi). A dual interpretation of the Gromov-Thurston proof
of Mostow rigidity and volume rigidity for representations of hyperbolic lattices.
Preprint 2012.
2. (with G. Ben Simon, T. Hartnick, A. Iozzi and A. Wienhard). Weakly maximal
representations of surface groups. Preprint, 2011, ArXiv1112.0449.
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PhD Students
- Tobias Strubel (co-directed with A. Iozzi): Fenchel-Nielsen coordinates for maximal
representations, 27.10.2011, ETH Zürich.
- Theo Bühler: On the algebraic foundation of bounded cohomology, 29.01.2008, ETH
Zürich.
- Michelle Bucher: Characteristic classes and bounded cohomology, 09.7.2004, ETH
Zürich.
- Diego Rattaggi: Computations in groups acting on a product of trees: normal sub-
group structures and quaternion lattices, 06.05.2004, ETH Zürich.
- Olivier Amann: Groups of tree-automorphisms and their unitary representations,
09.10.2003, ETH Zürich.
- Indira Chatterji(co-directedwithA.Valette): On property (RD) for certain discrete
groups, 07.09.2001, ETH Zürich.
- NicolasMonod: Continuousbounded cohomologyof locallycompactgroups,19.01.2001,
ETH Zürich, appeared as Springer Lecture Notes 1758.
- Paul Albuquerque: Mesures de Patterson-Sullivan dans les espaces symétriques de
rang supérieur, 22.05.1997, University of Geneva, appeared as “Patterson-Sullivan
theory in higher rank symmetric spaces”, GAFA, Vol. 9 (1999), 1-28.
Current PhD Students
- Thomas Huber: Winding numbers and quasimorphisms on surfaces, expected 2012.
- Jürg Portmann: Counting lattice orbits on vector spaces, expected 2012.
- Valerio Gianella: Growth functions on nilpotent groups.
Invitations (at least one week)
- Institut Henri Poincaré, January - February 2012
- Institute for Advanced Study, February 2010
- Hausdorff Institut, Bonn; September - December 2009
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- Institute for Advanced Study; September - December 2005
- Institut Fourier, Grenoble, Summer School; June - July 2004
- Erwin Schrödinger Institute; July 2002; August and November 2002; March 2004,
2007, 2008
- Oberwolfach; 1984, 1989, 1993, 1999, 2001, 2002, 2003, 2004, 2007, 2008, 2009, 2010,
2011
- IHES; February - March 1999
- Tata Institute, Bombay; February - March 1996
- Hebrew University, Jerusalem; March - April 1994
- MSRI, Berkeley; January and June 1992
- Göttingen; May - July 1991
- IHES; March - April 1989
- Stanford; July 1988
- IMPA, Rio de Janeiro; September - October 1987
Publications
Books
1. Rigidity in dynamics and geometry. Proceedings of the Programme on Ergodic
Theory, Geometric Rigidity and Number Theory, Cambridge, 2000; Springer, 2002.
2. (with J. Amorós, K. Corlette, D. Kotschick and D. Toledo). Fundamental groups of
compact Kähler manifolds. Mathematical Surveys and Monographs, AMS, Vol. 44,
1996.
Journals
1. (with A. Iozzi). Bounded cohomology and totally real subspaces in complex hyper-
bolic geometry. Ergod. Th. & Dynam. Sys., 32:467–478, 2012.
2. Fundamental groups of Kähler manifolds and geometric group theory. Séminaire
Bourbaki, volume 2009/2010, Exposé 1022, Astérisque 339, 305–321, 2011.
5

3. Anextension criterionforlatticeactionsonthecircle. Geometry, rigidity, and group
actions, 3–31, Chicago Lectures in Math., Univ. Chicago Press, Chicago, IL, 2011.
4. (with A. Iozzi and A. Wienhard). Surface group representations with maximal
Toledo invariant. Ann. Math., 172(1):517-566 , 2010.
5. (with A. Iozzi). A useful formula from bounded cohomology. Géométries à cour-
bure négative ou nulle, groupes discrets et rigidités, 243–292, Sémin. Congr., 18,
Soc. Math. France, Paris, 2009.
6. (with S. Mozes and R.J. Zimmer). Linear representations and arithmeticity of
lattices in products of trees. Essays in geometric group theory. Ramanujan Mathe-
matical Society Lecture Notes Series 9, 1-25 (2009).
7. (with A. Iozzi and A. Wienhard). Tight homomorphisms and Hermitian symmetric
spaces. Geom. Funct. Anal., 19(3):678–721, 2009.
8. (with A. Iozzi). A measurable Cartan theorem and applications to deformation
rigidity in complex hyperbolic geometry. Pure Appl. Math. Q, 4(1):181-202, 2008.
9. (with A. Iozzi and A. Wienhard). Hermitian symmetric spaces and Kähler rigidity.
Transform. Groups, 12(1):5–32, 2007.
10. (with A. Iozzi). Bounded differential forms, generalized Milnor-Wood inequality
and an application to deformation rigidity. Geom. Dedicata, 125:1-23, 2007.
11. (with A. Iozzi, F. Labourie and A. Wienhard). Maximal representations of surface
groups: symplectic Anosov structures. Pure Appl. Math. Q, 1(3):543-590, 2005.
12. (with A. Iozzi and N. Monod). Equivariant embeddings of trees into hyperbolic
spaces. Int. Math. Res. Not., 2005(22):1331-1369, 2005.
13. (with A. Iozzi). Bounded Kähler class rigidity of actions on Hermitian symmetric
spaces. Ann. Sci. Ec. Norm. Supér., 4 sér., 37(1):77-103, 2004.
14. (with A. Iozzi and A. Wienhard). Surface group representations with maximal
Toledo invariant. C. R. Acad. Math., Acad. Sci. Paris, 336(5):387-390, 2003.
15. (with N. Monod). On and around the bounded cohomology of SL2. In: Rigidity in
dynamics and geometry, M. Burger and A. Iozzi, eds., Springer, 19-37, 2002.
16. (withA.Iozzi). Boundarymapsinboundedcohomology. Appendixto: “Continuous
bounded cohomology and applications to rigidity theory”. Geom. Funct. Anal.,
12(2):281-292, 2002.
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17. (with N. Monod). Continuous bounded cohomology and applications to rigidity
theory. Geom. Funct. Anal., 12(2):219-280, 2002.
18. (with T. Gelander, A. Lubotzky and S. Mozes). Counting hyperbolic manifolds.
Geom. Funct. Anal., 12(6):1161-1173, 2002.
19. (with S. Mozes). Lattices in product of trees. Publ. Math., Inst. Hautes Etud. Sci.,
92:151-194, 2000.
20. (with S. Mozes). Groups acting on trees: From local to global structure. Publ.
Math., Inst. Hautes Etud. Sci., 92:113-150, 2000.
21. (with N. Monod). Bounded cohomology of lattices in higher rank Lie groups.
J. Eur. Math. Soc. (JEMS), 1(2):199-235, 1999; erratum 1(3):338, 1999.
22. (with A. Valette). Idempotents in complex group rings: Theorems of Zalesskij and
Bass revisited. J. Lie Theory, 8(2):219-228, 1998.
23. (withS.Mozes). Finitelypresentedsimplegroupsandproductsoftrees. C. R. Acad.
Math., Acad. Sci. Paris, 324(7):747-752, 1997.
24. (with P. de la Harpe). Constructing irreducible representations of discrete groups.
Proc. Indian Acad. Sci., Math. Sci., 107(3):223-235, 1997.
25. (with S. Mozes). CAT(-1)-spaces, divergence groups and their commensurators,
J. Amer. Math. Soc., 9(1):57–93, 1996.
26. Rigidity properties of group actions on CAT(0)-spaces. Proceedings ICM Zürich,
1994, Vol. II, Birkhäuser, 761-769, 1995.
27. (with D. Canary). A lower bound on λ0 for geometrically finite hyperbolic n-
manifolds. J. Reine Angew. Math., 454:37-57, 1994.
28. (with N. A’Campo). Réseaux arithmétiques et commensurateur d’après G.A. Mar-
gulis. Invent. Math., 116(1-3):1-25, 1994.
29. Intersection, the Manhattan curve, and Patterson-Sullivan theory in rank 2. Int.
Math. Res. Not., 993(7):217-225, 1993.
30. (with J.S. Li and P. Sarnak). Ramanujan duals and automorphic spectrum. Bull.
Am. Math. Soc., New Ser., 26(2):253-257, 1992
31. (with P. Sarnak). Ramanujan duals. II. Invent. Math., 106(1):1-11, 1991.
32. Kazhdan constants for SL(3,Z). J. Reine Angew. Math., 413:36-67, 1991.
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33. Horocycle flow on geometrically finite surfaces. Duke Math. J., 61(3):779-803, 1990.
34. Small eigenvalues of Riemann surfaces and graphs. Math. Z., 205(3):395-420, 1990.
35. Asymptotics of small eigenvalues of Riemann surfaces. Bull. Am. Math. Soc., New
Ser., 18(1):39-40, 1988.
36. Spectre du Laplacien, graphes et topologie de Fell. Comment. Math. Helv.,
63(2):226-252, 1988.
37. (with P. Buser and J. Dodziuk). Riemann surfaces of large genus and large λ1. In:
“Geometry and analysis on manifolds”, Lectures Notes in Math., 1339, Springer,
54-63, 1988.
38. (with V. Schroeder). Volume, diameter and the first eigenvalue of locally symmetric
spaces of rank one. J. Differ. Geom., 26:273-284, 1987.
39. (with V. Schroeder). Amenable groups and stabilizers of measures on the boundary
of a Hadamard manifold. Math. Ann., 276:505-514, 1987.
40. Estimation de petites valeurs propres du laplacien d’un revêtement de variétés rie-
manniennes compactes. C. R. Acad. Sci. Paris, Sér. I, 302:191-194, 1986.
41. Petites valeurs propres du laplacien et topologie de Fell. Thesis, Lausanne, 1986.
42. (with B. Colbois). A propos de la multiplicité de la première valeur propre du lapla-
cien d’une surface de Riemann. C. R. Acad. Sci. Paris, Sér. I, 300:247-249, 1985.
43. Analyse harmonique sur les groupes de Heisenberg généralisés. Monatsh. Math.,
98:29-40, 1984.
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