Nicolas Templier

Professor

Publications

  • On the Ramanujan conjecture for automorphic forms over function fields I. Geometry. (with W. Sawin), Journal of the AMS, 34 no.3 (2021), 653—746.

  • Families of L-functions and their symmetry (with P. Sarnak and S.W. Shin), proceedings of Simons symposium on the trace formula,  Springer-Verlag (2016).
  • Sato-Tate theorem for families and low-lying zeros of automorphic L-functions (with S.W. Shin), Invent. Math., 203 no.1 (2016), 1-177.
  • Hybrid sup-norm bounds for Hecke-Maass cusp forms, J. Eur. Math. Soc. 17 no.8 (2015), 2069--2082.
  • Large values of modular forms, Cambridge Journal of Mathematics, 2 no.1 (2014), 91–116.
  • A non-split sum of coefficients of modular forms, Duke Math. J., 157 no.1 (2011), 109–165.
Klarman Hall
509 Malott Hall
npt27@cornell.edu
607/2553443

Education

  • Ph.D. (2008) Montpellier University

Departments and programs

Birgit Speh

Distinguished Professor of Arts and Sciences in Mathematics

Publications

  • Symmetry Breaking for Representations of Rank One Orthogonal Groups II (with T. Kobayashi), Lecture Notes in Mathematics 2234, 367 pages, Springer Lecture Notes (2018), ISBN: 978-981-13-2900-5
  • Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad (with T. Kobayashi), in Geometric Aspects of the Trace For- mula, Simons Symposia, Springer Verlag (2018), 245-266.
  • Symmetry Breaking for Representations of Rank  One Orthogonal Groups (with T. Kobayashi), Mem. Amer. Math. Soc., 238, Amer. Math. Soc., Providence, RI, (2015), v+112 pp., ISBN: 978-1-4704-1922-6. ISBNs: 978-1- 4704-1922-6
  • Discrete components of some complementary series (with T.N. Venkataramana), Forum Math. 23 (2011), no. 6, 11591187
  • Pseudo-Eisenstein forms and cohomology of arithmetic groups III: Residual classes and applications (with J. Rohlfs), in On certain L-functions Clay Mathematics Proceedings, vol 13 , 2011
  • A Plancherel formula for L2(G/H) for almost symmetric subgroups (with B. Orsted), Pacific Journal (2016 ).
Klarman Hall
bes12@cornell.edu

Education

  • Ph.D. (1977) Massachusetts Institute of Technology

Departments and programs

Reyer Sjamaar

Professor

Publications

  • Character formulæ and GKRS multiplets in equivariant K-theory (with G. Landweber), Selecta Math. (N.S.) 19 (2013), no. 1, 49–95.
  • Divided differences and the Weyl character formula in equivariant K-theory (with M. Harada and G. Landweber), Math. Res. Lett. 17 (2010), no. 3, 507–527.
  • Torsion and abelianization in equivariant cohomology (with T. Holm), Transform. Groups 13 (2008), no. 3–4, 585–615.
  • Group-valued implosion and parabolic structures (with J. Hurtubise and L. Jeffrey), Amer. J. Math. 128 no. 1 (2006), 167–214.
  • Convexity properties of Hamiltonian group actions (with V. Guillemin), CRM Monograph Series 26, American Mathematical Society, Providence, RI, 2005. 
Klarman Hall
551 Malott Hall
sjamaar@math.cornell.edu

Education

  • June 1990: Ph. D., Universiteit Utrecht (UU), the Netherlands.
     

Departments and programs

Links

Allen Knutson

Professor

Publications

  • Complete moduli spaces of branchvarieties (with Valery Alexeev), Crelle's Journal (to appear).
  • Four positive formulae for type A quiver polynomials (with Ezra Miller and Mark Shimozono), Inventiones Mathematicae 166 (2006), no. 2.
  • Gröbner geometry of Schubert polynomials (with Ezra Miller), Annals of Mathematics 161 (2005), 1245–1318.
  • Puzzles and (equivariant) cohomology of Grassmannians (with Terence Tao), Duke Math. J. 119 (2003), no. 2, 221–260.
  • The honeycomb model of GL(n) tensor products I: proof of the saturation conjecture (with Terence Tao), Journal of the AMS 12(1999), no. 4, 1055–1090.
Klarman Hall
515 Malott Hall
allenk@math.cornell.edu

Education

  • Ph.D. (1996) Massachusetts Institute of Technology

Departments and programs

Links

John H. Hubbard

Professor

Publications

Klarman Hall
431 Malott Hall
jhh8@cornell.edu
607/255-6495

Education

  • Doctorat d'Etat (1973) Université de Paris Sud

Departments and programs

Links

Tara Holm

Professor

Publications

  • The topology of toric origami manifolds (with Ana Rita Pires), Math. Research Letters, 20 no. 5 (2013), 885–906.
  • Orbifold cohomology of torus quotients (with Rebecca Goldin and Allen Knutson), Duke Math. J. 139 no. 1 (2007), 89–139.
  • Computation of generalized equivariant cohomologies of Kac-Moody flag varieties (with Megumi Harada and Andre Henriques), Adv. in Math. 197 no. 1 (2005), 198–221.
  • Conjugation spaces (with Jean-Claude Hausmann and Volker Puppe), Algebr. Geom. Topol. 5 (2005), 923–964.
  • Distinguishing chambers of the moment polytope (with Rebecca Goldin and Lisa Jeffrey), J. Symp. Geom. 2 no. 1 (2003), 109–131.
Klarman Hall
320 Malott Hall
tara.holm@cornell.edu
607/2559928

Education

  • Ph.D. (2002) Massachusetts Institute of Technology

Departments and programs

Links

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.
Klarman Hall
226 Malott Hall
kd288@cornell.edu

Education

  • Ph.D. (2005) University of California, Santa Barbara

Departments and programs

Links

Keywords

Geometric Topology

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.
Klarman Hall
565 Malott Hall
rc46@cornell.edu
607/255-4301

Education

  • Ph.D. (1969) University of Michigan

Departments and programs

Links

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.
Klarman Hall
521 Malott Hall
xiaodongcao@cornell.edu

Education

  • Ph.D. (2002), Massachusetts Institute of Technology

Departments and programs

Links

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.

Klarman Hall
439 Malott Hall
berest@math.cornell.edu

Education

  • Ph.D. (1997) Université de Montreal (Canada)

Departments and programs

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