Publications and preprints

R=T theorems for weight one modular forms
Joint with Kris Klosin
Trans. Amer. Math. Soc., 376(2023) no.11, 8095–8128
View on arXiv

Lafforgue pseudocharacters and parities of limits of Galois representations
Joint with Ariel Weiss
manuscripta mathematica (2021)
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Irreducibility of limits of Galois representations of Saito-Kurokawa type
Joint with Kris Klosin
Research in number theory (2021) volume 7, article number: 41
Open access article

On Siegel eigenvarieties at Saito-Kurokawa points
Joint with Adel Betina
Annales de l’Institut Fourier (Grenoble) 72 (2022), no. 3, 901–961.
View on arXiv

Modularity of residual Galois extensions and the Eisenstein ideal
Joint with Kris Klosin
Trans. Amer. Math. Soc. (2019), no. 11, 8043-8065
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Deformations of Saito-Kurokawa type and the paramodular conjecture
Joint with Kris Klosin with an appendix by Cris Poor, Jerry Shurman, and David S. Yuen
Amer. J. Math. 142 (2020), no. 6, 1821-1876
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A p-adic Hermitian Maass lift
Joint with Kris Klosin, Glasg. Math. J. 61 (2019), no. 1, 85–114
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On the Bloch-Kato conjecture for the Asai L-function
View on arXiv

Oddness of residually reducible Galois representations
Int. J. Number Theory (2018)
Open access article

Theta lifts of Bianchi modular forms and applications to Paramodularity
Joint with Lassina Dembélé, Haluk Şengün and Ariel Pacetti
J. of London Math. Soc. 92(2) (2015), 353–370
View on arXiv

On lifting and modularity of reducible residual Galois representations over imaginary quadratic fields
Joint with Kris Klosin
IMRN 20 (2015), 10525-10562
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Note: there is an error in the proof of Lemma 4.6. This makes the statements pertaining to the existence of a modular basis (as in Corollary 4.8) conditional upon the conclusion of that lemma. This also impacts some statements made in the Trans. Amer. Math. Soc. article above. We will post a correction here soon.

On higher congruences between automorphic forms
Joint with Kris Klosin and Ken Kramer
Mathematical Research Letters 21 (2014), no. 1, 71-82
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Arithmetic properties of theta lifts
manuscripta mathematica 143 (2014), 389-417
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On deformation rings of residually reducible Galois representations and R=T theorems
Joint with Kris Klosin
Mathematische Annalen 355 (2013), no. 2, 481-518
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The original publication is available at springerlink.com.

An R=T theorem for imaginary quadratic fields
Joint with Kris Klosin
Mathematische Annalen 349 (2011), no. 3, 675-703
Download (PDF, 351KB)

The original publication is available at springerlink.com.

A deformation problem for Galois representations of imaginary quadratic fields
Joint with Kris Klosin
Journal de l'Institut de Math. de Jussieu 8(4) (2009), 669-692
Download (PDF, 278KB) © Cambridge University Press

l-adic representations associated to modular forms over imaginary quadratic fields
Joint with Gergely Harcos
Int. Math. Res. Not. 23 (2007), Art. ID rnm113, 16
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On the Eisenstein ideal for imaginary quadratic fields
Compositio Mathematica 145(3) (2009), 603-632
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Denominators of Eisenstein cohomology classes for GL(2) over imaginary quadratic fields
manuscripta mathematica 125 (2008), 427-470
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An Eisenstein ideal for imaginary quadratic fields
PhD thesis, University of Michigan (2005)
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Erratum: the claim in Theorem 5.1 in my thesis (repeated in Theorem 15 of the Compositio paper) about the perfectness of the Poincare pairing for Dedekind domains is incorrect.

This was only used in the proof of Lemma 5.3 (resp. Lemma 16). To prove the latter results one can use instead Pontryagin duality.
See details (PDF, 124KB)