Robert
Pollack Professor of Mathematics Boston University
Office: CDS Room 541 |
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Teaching BU number theory seminar |
Papers in preparation |
|
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
arXiv
Non-vanishing of critical L-values in Hida families
submitted
Robert Pollack, Vlad Serban
arXiv
p-adic Gross-Zagier formula at critical slope and a conjecture
of
Perrin-Riou
submitted
Kazim Buyukboduk, Robert Pollack, Shu Sasaki
arXiv
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