Frank Calegari's Home Page Frank Calegari's Home Page

Assistant Professor
Department of Mathematics
Northwestern University
Lunt Hall, 2033 Sheridan Road,
Evanston, IL 60208-2730, USA 
Former AIM 5-year fellow

  • Math. Reviews (reviews not freely accessible)
  • Front for the xxx Mathematics Archives
  • The Oxford English Dictionary
  • ABE Books
  • Library Catalogue Whatever happened to Curious George?
  • Mince Pies
  • Photos
  • Daleks
  • Dessert!
    Conferences:
  • Workshop on Representation Theory and Arithmetic
  • Current Developments in the Langlands Program
  • Modular Forms and Arithmetic
    Seminars:
  • Number Theory Seminar

  • Office: 303 Lunt Hall. Lunt Hall in 1896.
    Phone: 1-847-467-1891. 
    email: fcale at math dot northwestern dot edu
    Blackboard and Caesar
    Math 331: webpage
    Freshman Seminar: on Coincidence
    Putnam Training: Handouts
    Family:
  • My brother Danny
    Collaborators:
  • Kevin Buzzard
  • Nathan Dunfield
  • Matthew Emerton
  • Barry Mazur
  • William Stein
  • Akshay Venkatesh
    Other Friends and Colleagues:
  • David Ben-Zvi
  • Robert Coleman
  • Samit Dasgupta
  • Toby Gee
  • Toby Handfield
  • Mark Kisin
  • Mike Liddell
  • Jacob Lurie
  • Ken Ribet
  • Kranti Saran
  • René Schoof
  • Richard Taylor
  • Almost Rational Torsion Points on Elliptic Curves. International Mathematics Research Notices, 2001, no. 10, 487-503. pdf
    Semistable Abelian Varieties over Q. Manuscripta Mathematica, 113 (2004), no. 4, 507-529. pdf
    The Hecke Algebra has Large Index. (with M. Emerton) Math Research Letters, 11 (2004), no. 1, 125-137 pdf
    On the ramification of Hecke Algebras at Eisenstein primes. (with M. Emerton) Inventiones Mathematicae, 160, (2005), no. 1, 97-144. pdf
    Slopes of Overconvergent 2-adic Modular Forms. (with K. Buzzard) Compositio Mathematica, 141 (2005), no 3, 591-604. pdf
    A counterexample to the Gouvea-Mazur conjecture. (with K. Buzzard) Comptes Rendus Mathematique, 338 (2004), no. 10, 751-753. pdf
    Mod p representations on Elliptic Curves. Pacific Journal of Mathematics. 225 (2006), no. 1, 1-11. pdf
    Eisenstein Deformation Rings. Compositio Mathematica, 142 (2006), no. 1, 63-83. pdf
    Conjectures about discriminants of Hecke Algebras. (with W. Stein) Algorithmic Number Theory (LNCS 3076): the proceedings of ANTS-VI. pdf
    Irrationality of certain p-adic periods for small p. International Mathematics Research Notices, 2005, no. 20, 1235-1249. pdf
    Elliptic Curves of odd modular degree. (with M. Emerton) Israel Journal of Mathematics, 169 (2009), 417-444. pdf
    The p = 2, N = 1 eigencurve is proper. (with K. Buzzard) Documenta Mathematica, Special Volume in honour of John Coates' 60th Birthday. pdf
    Automorphic forms and Rational homology 3-spheres. (with N. Dunfield) Geometry & Topology. 10 (2006), 295-329. pdf
    The Coleman-Mazur Eigencurve is Proper at Integral Weights. Algebra & Number Theory. 2 (2008), No. 2, 209-215. pdf
    Bounds for Multiplicities of Unitary Representations of Cohomological Type in Spaces of Cusp Forms. (with M. Emerton) to appear in Annals of Mathematics. pdf
    Deformations of Artin Representations. (with B. Mazur) Journal de l'Institut de Math de Jussieu. (2009) 8(1), 99-177. pdf
    Borel-Wallach Vanishing and Potential Modularity. preprint. pdf
    Towards a Torsion Jacquet-Langlands correspondence. (with A. Venkatesh) in preparation. Coming Soon
    Completed Cohomology of Arithmetic Groups. (with M. Emerton) in preparation. Coming Soon
    Modularity Theorems for Reductive Groups. (with M. Emerton) in preparation. Coming Soon


     

    Book Review: "A First Course in Modular Forms", by F. Diamond and J. Shurman, Bulletin of the AMS, 43 (2006), 415-421. pdf


     
    Have you noticed that the opening cadence of the Canadian national anthem is lifted from Beethoven's "Les Adieux" sonata (op. 81a)? Or maybe he stole it from Mozart's the Magic Flute?

    The educator. The great pretender. The accountant. The entirely random. The public photographer. The professional photographer. (Links for google ranking purposes only).

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