Publications / Preprints

• Moduli stacks of Galois representations and the \(p\)-adic local Langlands correspondence for \(\mathrm{GL}_2(\mathbf{Q}_p)\), with Christian Johansson and Carl Wang-Erickson
  Arxiv preprint.


• Non-abelian base change for symmetric power liftings of holomorphic modular forms, with Laurent Clozel and Jack Thorne
  Arxiv preprint.


• The Ramanujan and Sato-Tate Conjectures for Bianchi modular forms, with George Boxer, Frank Calegari, Toby Gee and Jack Thorne
  Arxiv preprint. To appear in Forum Math. Pi.


• On the modularity of elliptic curves over imaginary quadratic fields, with Ana Caraiani
  Arxiv preprint.


• Symmetric power functoriality for Hilbert modular forms, with Jack Thorne
  Arxiv preprint.


• Modularity of Galois representations and Langlands functoriality (expository article).
  J. Indian Inst. Sci., 2022. Preprint, journal version.


• Symmetric power functoriality for holomorphic modular forms, II, with Jack Thorne
  Publ. Math. IHÉS., 2021. Arxiv preprint, journal version.


• Symmetric power functoriality for holomorphic modular forms, with Jack Thorne
  Publ. Math. IHÉS., 2021. Arxiv preprint, journal version.


• Adjoint Selmer groups of automorphic Galois representations of unitary type, with Jack Thorne
  Journal of the EMS, 2023. Arxiv preprint, journal version.


• Automorphy lifting for residually reducible l-adic Galois representations, II, with Patrick Allen and Jack Thorne
  Compos. Math., 2020. Arxiv preprint, journal version.


• Monodromy for some rank two Galois representations over CM fields, with Patrick Allen
  Doc. Math., 2020. Arxiv preprint, journal version.


• Potential Automorphy over CM fields, with P. Allen, F. Calegari, A. Caraiani, T. Gee, D. Helm, B. Le Hung, P. Scholze, R. Taylor and J. Thorne
  Ann. of Math., 2023. Arxiv preprint, journal version.


• Parallel weight 2 points on Hilbert modular eigenvarieties and the parity conjecture, with Christian Johansson
  Forum of Mathematics, Sigma, 2019 Arxiv preprint, journal version.


• Local Langlands correspondence in rigid families, with Christian Johansson and Claus Sorensen
  Pacific J. Math., 2020. Arxiv preprint, journal version.


• Irreducible components of extended eigenvarieties and interpolating Langlands functoriality, with Christian Johansson
  Math. Res. Lett., 2019 Arxiv preprint, journal version.


• Irreducible components of the eigencurve of finite degree are finite over the weight space, with Shin Hattori
  J. Reine Angew. Math., 2020. Arxiv preprint, journal version.


• Patching and the completed homology of locally symmetric spaces, with Toby Gee
  J. Inst. Math. Jussieu, 2022. Arxiv preprint, journal version.


• Extended eigenvarieties for overconvergent cohomology, with Christian Johansson
  Algebra & Number Theory 2019. Arxiv preprint, journal version.


• 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
  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 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.