Kelly Delp

Senior Lecturer

Publications

  • Stripey Squares. Bridges Seoul Conference Proceedings, (2014), 73-78.
  • High Fashion Meets Higher Mathematics. In Mircea Pitici, (Ed.) The Best Writing on Mathematics 2013 (pp.109-119), Princeton University Press, (2014).
  • Playing with Surfaces: Spheres, Monkey Pants, and Zippergons (with William P. Thurston), Bridges Coimbra Conference Proceedings (2011), 1-8.
  • The Marked Length Spectrum of a Projective Manifold or Orbifold (with Daryl Cooper), Proceedings of the AMS, 138 (2010), 3361-3376.
  • Almost Periodic Flows on 3-Manifolds, Algebraic & Geometric Topology 7 (2007) 157−180.

Robert Connelly

Professor

Publications

  • Straightening polygonal arcs and convexifying polygonal cycles (with E. Demaine and G. Rote), in preparation.
  • The Kneser-Poulsen conjecture for spherical polytopes (with K. Bezdek), submitted.
  • The Kneser-Poulsen conjecture (with K. Bezdek), Crelle's Journal, J. reine angew. Math. 553 (2002), 221–236.
  • Tensegrity structures: Why are they stable?; in Rigidity Theory and Applications (M.F. Thorpe and P.M. Duxbury, eds.), Kluwer Academic/Plenum (1999), pp. 47–54.
  • Mathematics and tensegrity (with A. Back), American Scientist March-April (1998), 142–151.

Xiaodong Cao

Professor

Publications

  • The Weyl tensor of gradient Ricci solitons (with Hung Tran), Geometry & Topology, to appear.
  • Curvature pinching estimate and singularities of the Ricci flow, Communications in Analysis and Geometry 19 no. 5 (2011), 975–990.
  • The conjugate heat equation and ancient solutions of the Ricci flow (with Qi S. Zhang), Advances in Mathematics 228 no. 5 (2011), 2891–2919.
  • Differential Harnack estimates for time-dependent heat equations with potentials (with Richard Hamilton), Geom. Funct. Anal. 19 no. 4 (2009), 989–1000.
  • Differential Harnack estimates for backward heat equations with potentials under the Ricci flow, J. Funct. Anal. 255 no. 4 (2008), 1024–1038.

Yuri Berest

Professor

Publications

Representation homology of spaces and higher Hochschild homology (with A. C. Ramadoss and Wai-kit Yeung)

Representation homology, Lie algebra cohomology and the derived Harish-Chandra homomorphism (with G. Felder, A. Patotski, A. C. Ramadoss and T. Willwacher), J. Eur. Math. Soc. 19 (2017), 2811-2893.

Stable representation homology and Koszul duality (with A.C. Ramadoss), J. Reine Angew. Math. 715 (2016), 143–187.

Double affine Hecke algebras and generalized Jones polynomials (with P. Samuelson), Compos. Math. 152 (2016), 1333–1384.

Dixmier groups and Borel subgroups (with A. Eshmatov and F. Eshmatov), Adv. Math. 286 (2016), 387–429.

Derived representation schemes and cyclic homology (with G. Khachatryan and A. C. Ramadoss), Adv. Math. 245 (2013), 625–689.

Quasi-invariants of complex reflection groups (with O. Chalykh), Compos. Math. 147 (2011), 965–1002.

Cherednik algebras and differential operators on quasi-invariants (with P. Etingof and V. Ginzburg), Duke Math. J. 118 (2003), 279–337.

Automorphisms and ideals of the Weyl algebra (with G. Wilson), Math. Ann. 318 (2000), 127–147

The problem of lacunas and analysis on root systems, Trans. Amer. Math. Soc. 352 (2000), 3743–3776.

Dan M. Barbasch

Professor

Publications

  • Dirac index and twisted characters (with P. Pandzic and P. Trapa), arxiv.org/pdf/1606.05425.pdf, preprint.
  • Dirac cohomology for graded affine Hecke algebras (with D.Ciubotaru and P. Trapa), Acta Math. 209 (2012), no. 2, 197-227.
  • Spherical unitary dual for split real and p-adic groups, J. of the Mathematical Institute Jussieu, vol 9 (2010), issue 02, 265-356.
  • Reduction to real infinitesimal character in affine Hecke algebras (with A. Moy), Journal of the AMS 6 no. 3 (1993), 611-635.
  • The Langlands classification and irreducible characters (with J. Adams and D. Vogan), Birkhauser (1992), Boston-Basel-Berlin.
  • Unipotent representations for real reductive groups, Proceedings of ICM, Kyoto 1990 (1990), Springer-Verlag, Math. Soc. of Japan, 769-777.
  • The unitary dual of complex classical groups, Inv. Math. 96 (1989), 103-176.
  • Unipotent representations of complex classical groups (with D. Vogan), Ann. Math. 121 (1985), 41-110.
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