Vol. 170, No. 1, 2009

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Bounds on Faltings’s delta function through covers
1–43

Jay Jorgenson and Jürg Kramer

The Teichmüller space of pinched negatively curved metrics on a hyperbolic manifold is not contractible
45–65

F. Thomas Farrell and Pedro Ontaneda

Local rigidity of affine actions of higher rank groups and lattices
67–122

David Fisher and Gregory Margulis

Minimal co-volume hyperbolic lattices, I: The spherical points of a Kleinian group
123–161

Frederick W. Gehring and Gaven J. Martin

Singularities of the Prym theta divisor
163–204

Sebastian Casalaina-Martin

Inverse spectral problem for analytic domains, II: 2-symmetric domains
205–269

Steve Zelditch

Lie theory for nilpotent L-algebras
271–301

Ezra Getzler

The Ten Martini Problem
303–342

Artur Avila and Svetlana Jitomirskaya

The rationality of Stark-Heegner points over genus fields of real quadratic fields
343–369

Massimo Bertolini and Henri Darmon

Additive approximation for edge-deletion problems
371–411

Noga Alon, Asaf Shapira, and Benny Sudakov

Local connectivity of Julia sets for unicritical polynomials
413–426

Jeremy Kahn and Mikhail Lyubich

Fitting a Cm-smooth function to data, III
427–441

Charles Fefferman

Exponential growth and an asymptotic formula for the ranks of homotopy groups of a finite 1-connected complex
443–464

Yves Felix, Steve Halperin, and Jean-Claude Thomas

Pólya-Schur master theorems for circular domains and their boundaries
465–492

Julius Borcea and Petter Brändén

Erratum to “The homotopy type of the matroid Grassmannian”
493

Daniel K. Biss