Anna Wienhard

Department of Mathematics
Princeton University
Fine Hall
Washington Road
Princeton NJ 08544-1000
USA

Office: Fine Hall 1007
Tel: (++1)-609-258-6472
Fax: (++1)-609-258-1367
email: email

Upcoming Events

Trimester on Geometry and analysis of surface group representations, Institut Henri Poincare, Paris, January - March 2012.
Program on Dynamics on Moduli Spaces of Geometric Structures, MSRI, Berkeley, Jan - May 2015.

Teaching

Fall 2011: MAT 455 Advanced Topics in Geometry: Lie algebras and Lie groups -- W F 11:00 am - 12:20 pm, Blackboard
Spring 2012: Graduate Course on Teichmüller Theory

Papers and Preprints

Weakly maximal representations of surface groups (with G. Ben Simon ; M. Burger; T. Hartnick; A. Iozzi), Research Announcement.
Anosov representations: Domains of discontinuity and applications, (with O. Guichard), Preprint.
Higher Teichmüller spaces: From SL(2,R) to other Lie groups , (with M. Burger; A. Iozzi), to appear in the Handbook of Teichmüller Theory.
Topological Invariants of Anosov Representations, (with O. Guichard), Journal of Topology 3, 2010 578--642.
Domains of discontinuity for surface groups, (with O. Guichard), C. R. Math. Acad. Sci. Paris I 347 (2009), 1057--1060.
Surface group representations with maximal Toledo invariant , (with M. Burger; A. Iozzi), Annals of Mathematics 172 (2010), no.1, 517--566.
Tight homomorphisms and Hermitian symmetric spaces, (with M. Burger; A. Iozzi), GAFA 19 (2009), no. 3, 678--721.
Remarks on and around bounded differential forms, Pure and Applied Mathematics Quaterly 8 (2012), no. 2, (Special Issue: In honor of F. Thomas Farrell and Lowell E. Jones part 2 of 2), 481 -- 498.
Convex foliated projective structures and the Hitchin component of SL(4,R), (with O. Guichard), Duke Mathematical Journal 144 (2008) no.3, 381--445.
Hermitian symmetric spaces and Kähler rigidity, (with M. Burger; A. Iozzi), Transformation Groups 12 (2007), no. 1, 5--32. electronic article .
The action of the mapping class group on maximal representations, Geom. Dedicata 120 (2006), 179--191, electronic article .
Maximal representations of surface groups: Symplectic Anosov structures (with M. Burger; A. Iozzi; F. Labourie), Pure and Applied Mathematics Quaterly, 1 (2005), no. 2, (Special Issue: In Memory of Armand Borel), 555--601.
Surface group representations with maximal Toledo invariant (with M. Burger; A. Iozzi), C. R. Math. Acad. Sci. Paris 336 (2003), no. 5, 387--390.
Bounded cohomology and geometry, PhD-thesis, Bonner Mathematische Schriften Nr. 368, Bonn 2004.
A generalisation of Teichmüller space in the Hermitian context, Séminaire de Théorie Spectrale et Géométrie Grenoble, Vol.22 (2004), 103--123.

Short Notes

Bounded cohomology and representations of surface groups, Vortrag auf der Mathematischen Arbeitstagung 2007, MPIM Bonn.
Bounds for cohomology classes, (with M. Burger; A. Iozzi; N. Monod), in Guido's book of conjectures, 38--39, L'Enseignement Mathematique 54 (2008), 3-189.
Foliated projective structures and the Hitchin component of PSL(4,R), Oberwolfach Reports, 32 (2007), 38--41.
Surface Groups and Hermitian Symmetric Spaces, Oberwolfach Reports, 26 (2006), 1546--1548.
Flexibilität und Starrheit -- Gruppenhomomorphismen und geometrische Strukturen, Mitteilungen der Deutschen Mathematiker Vereinigung, 13 (2005) no. 2, 80--83.

Organization of Workhops and Conferences

Workshop on Ergodics Decompositions of Character Varieties, Princeton University, October 17 - 19, 2011.
Mathematical Research Community - The geometry of real projective structures, Snowbird Resort, Utah, June 12 - 18, 2011.
Mathematical Retreat on Integrable Systems, February 18 - 20, 2011.
Summer Workshop in Mathematics for High School Students, Women in Mathematics, SWIM Princeton, June 16 -25, 2010.
Workshop on Flat Conformal Lorentzian Structures, February 18 - 20, 2010.
Mathematical Retreat on Lattices and Non-Lattices, February 12 - 14, 2010.
Summer Workshop in Mathematics for High School Students, Women in Mathematics, SWIM Princeton, June 10 -19, 2009, organized with Ingrid Daubechies.
Mathematical Retreat on "Ratner's Theorem", February 27 - March 1, 2009, organized with Maryam Mirzakhani.
Representations of Surface Groups, March 19 to March 23, 2007, American Institute of Mathematics, Palo Alto, California,
organized with Steven Bradlow, Oscar Garcia-Prada, William M. Goldman. Here is some Background Material. The wiki maintained by G. WILKIN (user name is "surface" and password is "groups").
Conference on Bounded Cohomology, Harmonic Maps and Higgs Bundles, March 13--19, 2005.
Blockseminar Schleifengruppen und ihre Anwendungen in Geometrie und Physik, June 18--23, 2006,
with Christian Becker, Gregor Noetzel and Konrad Waldorf, funded by Schwerpunktprogramm Differentialgeometrie
Workshop on h-principles with Christian Becker and Hartmut Weiss, funded by Schwerpunktprogramm Differentialgeometrie of DFG.
Workshop on Foliations with Christian Becker and Hartmut Weiss, funded by Schwerpunktprogramm Differentialgeometrie of DFG.

Past Teaching

MAT 520 Introduction to Geometry (Symmetric Spaces)
Introduction to Differential Geometry (MAT327)
Blackboard

Past Teaching in Chicago

MATH 19900 Introduction to Analysis and Linear Algebra, Section 43, Winter 2007. Handout
MATH 20100 Mathematical Methods for Physical Sciences II, Section 11, Winter 2007. Handout
MATH 17500 Elementary Number Theory, Section 30, Fall 2006. Handout
MATH 20000 Mathematical Methods for Physical Sciences, Section 11, Fall 2006. Handout
Chalk

Frühere Blockseminare und Fotos

Bonn-Hamburg-Tübingen Blockseminar Februar 2003
Bonn-Hamburg-München Blockseminar Juni 2003
Bonn-München-Potsdam Blockseminar Februar 2004
Fotos von Blockseminaren: Sylt Februar 2003 , Oberjoch Juni 2003 , Marienburg Februar 2004

Blockseminar Juli 2004
Fotos vom Blockseminar Juli 2004