DUKE MATHEMATICAL JOURNAL INDEX TO VOLUME 153 BANNAI, KENICHI, and SHINICHI KOBAYASHI. Algebraic theta functions and the p-adic interpolation of Eisenstein-Kronecker numbers BELABAS, KARIM, MANJUL BHARGAVA, and CARL POMERANCE. Error estimates for the Davenport-Heilbronn theorems BHARGAVA, MANJUL, CARL POMERANCE, and KARIM BELABAS. Error estimates for the Davenport-Heilbronn theorems CAPORASO, LUCIA, and FILIPPO VIVIANI. Torelli theorem for graphs and tropical curves CHIFAN, IONUT, and CYRIL HOUDAYER. Bass-Serre rigidity results in von Neumann algebras . DOTSENKO, VLADIMIR, and ANTON KHOROSHKIN. Grébner bases for operads EDIDIN, DAN, TYLER J. JARVIS, and TAKASHI KIMURA. Logarithmic trace and orbifold products FIEBIG, PETER. The multiplicity one case of Lusztig’s conjecture FRANCES, CHARLES, and KARIN MELNICK. Conformal actions of nilpotent groups on pseudo-Riemannian manifolds GROSS, MARK, RAHUL PANDHARIPANDE, and BERND SIEBERT. The tropical vertex HOUDAYER, CYRIL, and IONUT CHIFAN. Bass-Serre rigidity results in von Neumann algebras . JARVIS, TYLER J., TAKASHI KIMURA, and DAN EDIDIN. Logarithmic trace and orbifold products KHOROSHKIN, ANTON, and VLADIMIR DOTSENKO. Grobner bases for operads KIMURA, TAKASHI, DAN EDIDIN, and TYLER J. JARVIS. Logarithmic trace and orbifold products KOBAYASHI, SHINICHI, and KENICHI BANNAI. Algebraic theta functions and the p-adic interpolation of Eisenstein-Kronecker numbers . LUBETZKY, EYAL, and ALLAN SLY. Cutoff phenomena for random walks on random regular graphs MACKAY, JOHN M. Spaces and groups with conformal dimension greater than one MAS, ALBERT, MARK MELNIKOV, and XAVIER TOLSA. A dual characterization of the ©! harmonic capacity and applications . MELNICK, KARIN, and CHARLES FRANCES. Conformal actions of nilpotent groups on pseudo-Riemannian manifolds MELNIKOV, MARK, XAVIER TOLSA, and ALBERT MAS. A dual characterization of the €' harmonic capacity and applications . PANDHARIPANDE, RAHUL, BERND SIEBERT, and MARK GROSS. The tropical vertex POMERANCE, CARL, KARIM BELABAS, and MANJUL BHARGAVA. Error estimates for the Davenport-Heilbronn theorems SEYYEDALI, REZA. Balanced metrics and Chow stability of projective bundles over Kahler manifolds SIEBERT, BERND, MARK GROSS, and RAHUL PANDHARIPANDE. The tropical vertex SLY, ALLAN, and EYAL LUBETZKY. Cutoff phenomena for random walks on random regular graphs SPIVAK, DAVID I. Derived smooth manifolds TOLSA, XAVIER, ALBERT MAS, and MARK MELNIKOV. A dual characterization of the €' harmonic capacity and applications . VIVIANI, FILIPPO, and LUCIA CAPORASO. Torelli theorem for graphs and tropical curves ZANNIER, UMBERTO. Hilbert irreducibility above algebraic groups