Yun Liu

Ph.D Candidate

Max Lipton

Ph.D. Candidate

Max Hallgren

Ph.D. Candidate

Andres Fernandez Herrero

Ph.D. Candidate

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.

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 ).

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. 

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.

John H. Hubbard

Professor

Publications

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.
Subscribe to Geometry