Robert Pollack's Home Page - Boston University
Robert Pollack
Professor of Mathematics
Boston University

Office: CDS Room 541
Office hours:
Thursday 3-4 (online---link on blackboard)
Friday 11-12


BU number theory seminar


Film roles

Department of Mathematics and Statistics, Boston University, 111 Cummington Mall, Boston, MA 02215

Papers in preparation
Tables of Iwasawa invariants
Stark-Heegner point software (MAGMA)
OMS software (SAGE)
Fredholm series for Up
coming soon Iwasawa invariants in residually reducible Hida families
    Robert Pollack, Preston Wake
coming very soon ℒ-invariants via p-adic L-functions: computations and a distribution conjecture
    John Bergdall, Robert Pollack

Publications and preprints

Explicit reciprocity laws and Iwasawa theory for modular forms
    Matthew Emerton, Robert Pollack, Tom Weston

Non-vanishing of critical L-values in Hida families
    Robert Pollack, Vlad Serban

p-adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou
    Kazim Buyukboduk, Robert Pollack, Shu Sasaki

Slopes of modular forms and reducible Galois representations: an oversight in the ghost conjecture
    to appear in the Proceedings of the AMS
    John Bergdall, Robert Pollack
Congruences with Eisenstein series and μ-invariants
    Compositio 155 (2019), no. 5, 863--901.
    Joel Bellaiche, Robert Pollack
Slopes of modular forms and the ghost conjecture II
    Transactions of the AMS, 372 (2019), no. 1, 357--388.
    John Bergdall, Robert Pollack
Slopes of modular forms and the ghost conjecture
    IMRN (2019), no. 4, 1125--1144.
    John Bergdall, Robert Pollack
A remark on non-integral p-adic slopes for modular forms
    Comptes Rendus Mathematique, 355 (2017), no. 3, 260--262.
    John Bergdall, Robert Pollack
On the freeness of anticyclotomic Selmer groups of modular forms
    International Journal of Number Theory, 13 (2017), no. 6, 1443--1455.
    Chan-Ho Kim, Robert Pollack, Tom Weston
Explicit computations of Hida families via overconvergent modular symbols
    Research in Number Theory, 2 (2016), Art. 25, 54 pp.
    Evan Dummit, Marton Hablicsek, Robert Harron, Lalit Jain, Robert Pollack, Daniel Ross
Arithmetic properties of Fredholm series for p-adic modular forms
    Proceedings of the London Mathematical Society, (2016) 113 (4) 419--444.
    John Bergdall, Robert Pollack
Overconvergent modular symbols
    Computations with Modular Forms (Heidelberg 2011), Contributions in Mathematical and Computational Sciences, Vol. 6, Springer, 2014.
    Robert Pollack
Critical slope p-adic L-functions
   Journal of the London Mathematical Society, 87 (2013), no. 2, 428--452.
    Robert Pollack, Glenn Stevens
On anticyclotomic μ-invariants of modular forms
   Compositio Mathematica, 147 (2011) no. 5, 1353--1381.
    Robert Pollack, Tom Weston
Hilbert modular forms and the Gross-Stark conjecture
   Annals of Mathematics, 174 (2011) no. 1, 439--485.
    Samit Dasgupta, Henri Darmon, Robert Pollack
Mazur-Tate elements of non-ordinary modular forms
   Duke Mathematical Journal, 156 (2011) no. 3, 349--385.
    Robert Pollack, Tom Weston
Overconvergent modular symbols and p-adic L-functions
    Annales Scientifiques de l'Ecole Normale Superieure, serie 4, 44 fascicule 1 (2011), 1--42.
        Robert Pollack, Glenn Stevens
A construction of rigid analytic cohomology classes for congruence subgroups of SL(3,Z)
    Canadian Journal of Mathematics 61 (2009) no. 3, 674--690.
        David Pollack, Robert Pollack
Two p-adic L-functions and rational points on elliptic curves with supersingular reduction
    L-Functions and Galois Representations (Durham, 2007), London Math Society LNS 320, 300--332.
        Masato Kurihara, Robert Pollack
Kida's formula and congruences of modular forms
    Documenta Mathematica, 2006, extra volume (in honor of John Coates), 615--630.
        Robert Pollack, Tom Weston
Iwasawa theory of elliptic curves at supersingular primes over Zp-extensions of number fields
    Journal fur die Reine und Angewandte Mathematik, 598 (2006), 71--103
        Adrian Iovita, Robert Pollack
The efficient calculation of Stark-Heegner points via overconvergent modular symbols
    Israel Journal of Mathematics, 153 (2006), 319--354
        Henri Darmon, Robert Pollack
Variation of the Iwasawa invariants in Hida families
    Inventiones Mathematicae, 163 (2006), no. 3, 523--580
        Matthew Emerton, Robert Pollack, Tom Weston
An algebraic version of a theorem of Kurihara
    Journal of Number Theory (special issue in honor of Arnold Ross), Vol 110/1 (2005), 164-177
        Robert Pollack
The main conjecture for CM elliptic curves at supersingular primes
    Annals of Mathematics, 159 (2004) no. 1, 447-464
        Robert Pollack, Karl Rubin
On the p-adic L-function of a modular form at a supersingular prime
    Duke Mathematical Journal, 118 (2003) no. 3, 523-558
        Robert Pollack