Contact:
Department of Mathematics,
King's College London,
Strand, London,
WC2R 2LS
j.newtonkcl.ac.uk


James Newton
I am a lecturer at King's College London.
Research:
I am interested in algebraic number theory, particularly (padic) automorphic forms and Galois representations.
Papers and preprints:
 Parallel weight 2 points on Hilbert modular eigenvarieties and the
parity conjecture, with Christian Johansson
Arxiv preprint.
 Local Langlands correspondence in rigid families, with Christian Johansson and Claus Sorensen
Arxiv preprint.
 Irreducible components of extended eigenvarieties and interpolating Langlands functoriality, with Christian Johansson
To appear in MRL. Arxiv preprint.
 Irreducible components of the eigencurve of finite degree are finite over the weight space, with Shin Hattori
To appear in J. Reine Angew. Math. Arxiv preprint.
 Patching and the completed homology of locally symmetric spaces, with Toby Gee
Arxiv preprint.
 Extended eigenvarieties for overconvergent cohomology, with Christian Johansson
To appear in Algebra & Number Theory. Arxiv preprint.
 Torsion Galois representations over CM fields and Hecke algebras in the derived category, with Jack Thorne
Forum of Mathematics, Sigma 2016. Arxiv preprint, journal version.
 Shimura curves, the Drinfeld curve and Serre weights, with Teruyoshi Yoshida
Preprint.
 Towards localglobal compatibility for Hilbert modular forms of low weight
Algebra & Number Theory 2015. Arxiv preprint, journal version.
 Level raising for padic Hilbert modular forms
J. Théor. Nombres Bordeaux 2016. Arxiv preprint, journal version.
 An appendix to "Universal eigenvarieties, trianguline Galois representations, and padic Langlands functoriality" by David Hansen
J. Reine Angew. Math. 2017. Arxiv preprint, journal version.
 Serre weights and Shimura curves
Proceedings of the LMS, 2013. Preprint, journal version.
 Completed cohomology of Shimura curves and a padic JacquetLanglands correspondence
Mathematische Annalen, 2012. Arxiv preprint (with a few fixes compared to the journal version), journal version.
 Level raising and completed cohomology
IMRN, 2011. Arxiv preprint, journal version.
 Geometric level raising for padic automorphic forms
Compositio Mathematica, 2011. Arxiv preprint, journal version. Some minor corrections to this work can be found in the paper "Level raising for padic Hilbert modular forms" listed above.
Teaching:
I currently lecture the course Introduction to Number theory at King's.
I lectured Group Representation Theory (M3/4/5P12) at Imperial College London in Spring 2016. The homepage for the course is here.
I lectured a Part III course in Cambridge on Modular Forms in Lent term 2014. The homepage for the course is here.
