za James Newton
windy city

Contact:

Department of Mathematics,
King's College London,
Strand, London,
WC2R 2LS

j.newtonsymbolkcl.ac.uk


James Newton

I am a lecturer at King's College London.

Research:

I am interested in algebraic number theory, particularly (p-adic) automorphic forms and Galois representations.


Papers and preprints:

  • Irreducible components of extended eigenvarieties and interpolating Langlands functoriality, with Christian Johansson
    Arxiv preprint.

  • Irreducible components of the eigencurve of finite degree are finite over the weight space, with Shin Hattori
    Arxiv preprint.

  • Patching and the completed homology of locally symmetric spaces, with Toby Gee
    Arxiv preprint.

  • Extended eigenvarieties for overconvergent cohomology, with Christian Johansson
    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 local-global compatibility for Hilbert modular forms of low weight
    Algebra & Number Theory 2015. Arxiv preprint, journal version.

  • Level raising for p-adic Hilbert modular forms
    J. Théor. Nombres Bordeaux 2016. Arxiv preprint, journal version.

  • An appendix to "Universal eigenvarieties, trianguline Galois representations, and p-adic Langlands functoriality" by David Hansen
    To appear in Crelle. Preprint, journal version

  • Serre weights and Shimura curves
    Proceedings of the LMS, 2013. Preprint, journal version

  • Completed cohomology of Shimura curves and a p-adic Jacquet-Langlands 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 p-adic automorphic forms
    Compositio Mathematica, 2011. Arxiv preprint, journal version
    Some minor corrections to this work can be found in the paper "Level raising for p-adic Hilbert modular forms" listed above.

Teaching:

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.


Study group schedule for Easter 2017 here.