One day I will make this page look nice (the day after I finish tidying
my office). In the meantime, this will have to do.
Note: not all the PDF files of my published papers are
included here.
Those that are do not necessarily correspond to the final versions,
so should not be used for definitive reference.
-
Linear independence in linear systems on elliptic curves
(with Bradley W. Brock, Bruce W. Jordan, Bjorn Poonen and Joseph L. Wetherell).
Commentarii Mathematici Helvetici vol. 96, no. 2 (2021), 199-213
-
Extensions in the cohomology of Hilbert modular varieties
(with Cosmin Davidescu).
Münster J. of Math. 13 (2020), 509-518
-
Introduction to plectic cohomology
(with J. Nekovář). In: Contemporary Mathematics vol. 664,
American Math. Society, 2016, 321-337
-
Modular forms, de Rham cohomology and congruences (with Matija Kazalicki)
Trans. Amer. Math. Soc. vol. 368, no. 10 (2016), 7097-7117
-
Hypersurfaces and the Weil conjectures
International Math. Res. Notices, 2010.
Here is a link to a (somewhat mangled)[1] published version.
Slides for two talks about this paper:
-
Higher fields of norms and (phi,Gamma)-modules
Documenta Mathematica, Extra Volume: John H. Coates' Sixtieth Birthday (2006), 685-709
link to published version
-
On some l-adic representations of Gal(Qbar/Q) attached
to noncongruence subgroups
Bull. London Math. Soc. 38 (2006) 4, 561-567
-
A note on trilinear forms for reducible representations and
Beilinson's conjectures
(with M Harris)
J. Eur. Math. Soc. 3 (2001) 1, 93-104
-
Integral elements in
K-theory and products of modular curves
In:
The Arithmetic and Geometry of Algebraic Cycles
ed. B. B. Gordon et al.
NATO Science Series C, volume 548 (Kluwer, 2000), 467-489
-
An introduction to Kato's Euler systems
In:
Galois representations in arithmetic algebraic geometry,
ed. A. J. Scholl and R. L. Taylor.
Cambridge University Press 1998, 379-460
A minor correction to
the above.
-
On the Hecke algebra of a noncongruence subgroup
Bull. London Math. Soc. 29 (1997), 395-399
See also Addendum
-
Vanishing cycles and non-classical parabolic cohomology
Published version
- preprint version
Inventiones math. 124 (1996), 503-524
A correction (August 2002)
-
Height pairings and special values of L-functions
In: Motives, Seattle 1991, ed. U. Jannsen, S. Kleiman, J-P. Serre.
Proc Symp. Pure Math 55 (1994), part 1, 571-598
-
Classical motives
In: Motives, Seattle 1991, ed. U. Jannsen, S. Kleiman, J-P. Serre.
Proc Symp. Pure Math 55 (1994), part 1, 163-187
-
Extensions of motives, higher Chow groups and special
values of L-functions
Séminaire de théorie de nombres de Paris 1992,
ed. S. David.
Progress in Mathematics 116 (1993), 279-292
-
Modular forms and algebraic K-theory
Journées Arithmétiques de Genève 1991, ed. D. Coray.
Astérisque 209 (1992), 85-97
-
The boundary of the Eisenstein symbol (with N. Schappacher)
Math. Annalen 290 (1991), 303-321
Erratum, Math. Annalen 290 (1991), 815
-
The Beilinson Conjectures (with C. Deninger)
In: L-functions in Arithmetic, ed. Coates-Taylor
(Cambridge, 1991), 173-209
-
Remarks on special values of L-functions.
In: L-functions in Arithmetic, ed. Coates-Taylor
(Cambridge, 1991) 373-392
-
Motives for modular forms
Inventiones math. 100 (1990), 419-430
Corrections
-
On modular units
Math. Annalen 285 (1989), 503-510
-
The l-adic representations associated to a certain
noncongruence subgroup
J. für die reine und ang. Math. 392 (1988), 1-15
Correction
-
Beilinson's theorem on modular curves (with N. Schappacher)
In: Beilinson's conjectures on special values of L-functions,
ed. Rapoport-Schappacher-Schneider. Perspectives in Mathematics
4 (Academic Press 1988), 273-304
-
Modular forms on noncongruence subgroups
Seminaire de Theorie des Nombres de Paris, 1985-1986,
Birkhauser (1987), 199-206
-
Fourier coefficients of Eisenstein series on noncongruence
subgroups
Math. Proc. Camb. Phil. Soc. 99 (1986), 11-17
-
A finiteness theorem for del Pezzo surfaces over algebraic
number fields
J. London Math. Soc. (2) 32 (1985), 31-40
-
Modular forms and de Rham cohomology; Atkin-Swinnerton-Dyer
congruences
Inventiones math. 79 (1985), 49-77
-
A trace formula for F-crystals
Inventiones math. 79 (1985), 31-48
-
On the algebra of modular forms on a congruence subgroup
Math. Proc. Camb. Phil. Soc. 86 (1979), 461-466
Disclaimer:
Please ensure that you are not violating copyright law by downloading
or printing any of these files.
Faces of
Mathematics - Nick Gilbert's exhibition of mathematical
portraits. The travelling show contains a (selectively edited)
version of this
interview.
Complete index to EGA -
Complete index to SGA
(Created because it is incredibly frustrating
to have to flick through the indices of all 8 volumes of EGA to find out
where the definition of an
XXX morphism is.)
If you like classical music, you will enjoy the website of my wife
Gülsin Onay.
(The music on the entry page is the opening of Saint-Saens 2nd Piano Concerto.)
Last modified: 29 January 2010
[1]
....the HTML version of the paper on the journal webpage has a garbled
bibliography, presumably the work of some translation robot.
The (human) copy editor insisted (despite my protestations) on replacing
"fibre" with "fiber", and managed to misspell "après" - rather
less than one might hope from "Oxford" Journals and "International"
Mathematics Research Notices.