Publications

29 works

  1. Preprint

    Eisenstein cocycles for imaginary quadratic fields

    with Emmanuel Lecouturier, Sheng-Chi Shih, and Jun Wang

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  2. Preprint

    Toroidal compactifications of the moduli spaces of Drinfeld modules

    with Takako Fukaya and Kazuya Kato

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  3. 2026

    An extension of the Fukaya-Kato method

    Journal of the European Mathematical Society 28 (2026), 2877–2943

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  4. 2024

    Eisenstein cocycles in motivic cohomology

    with Akshay Venkatesh

    Compositio Mathematica (2024)

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  5. 2023

    Generalized Bockstein maps and Massey products

    with Yeuk Hay Joshua Lam, Yuan Liu, Preston Wake, and Jiuya Wang

    Forum of Mathematics, Sigma (2023)

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  6. 2022

    Reciprocity maps with restricted ramification

    Transactions of the American Mathematical Society (2022)

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  7. 2022

    Exterior powers in Iwasawa theory

    with Frauke Bleher, Ted Chinburg, Ralph Greenberg, Mahesh Kakde, and Martin Taylor

    Journal of the European Mathematical Society (2022)

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  8. 2020

    Higher Chern classes in Iwasawa theory

    with Frauke Bleher, Ted Chinburg, Ralph Greenberg, Mahesh Kakde, George Pappas, and Martin Taylor

    American Journal of Mathematics (2020)

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  9. 2019

    Iwasawa theory: a climb up the tower

    Notices of the American Mathematical Society (2019)

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  10. 2016

    Compactifications of S-arithmetic quotients for the projective general linear group

    with Takako Fukaya and Kazuya Kato, in Elliptic Curves, Modular Forms and Iwasawa Theory

    In Honour of John H. Coates' 70th birthday

    Springer Proceedings in Mathematics and Statistics (2016)

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  11. 2016

    Modular symbols and the integrality of zeta elements

    with Takako Fukaya and Kazuya Kato, Annales Mathématiques du Québec (2016)

    Special issue in honor of Glenn Stevens' 60th birthday

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  12. 2014

    Modular symbols in Iwasawa theory

    with Takako Fukaya and Kazuya Kato, in Iwasawa Theory 2012

    Contributions in Mathematical and Computational Sciences (2014)

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  13. 2014

    The reciprocity conjecture of Khare and Wintenberger

    International Mathematics Research Notices (2014)

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  14. 2013

    Nekovář duality over p-adic Lie extensions of global fields

    with Meng Fai Lim, Documenta Mathematica (2013)

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  15. 2013

    Galois module structure of local unit groups

    Algebra & Number Theory (2013)

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  16. 2011

    A reciprocity map and the two-variable p-adic L-function

    Annals of Mathematics (2011)

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  17. 2009

    Cup products and L-values of cusp forms

    Pure and Applied Mathematics Quarterly (2009)

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  18. 2008

    On Galois groups of unramified pro-p extensions

    Mathematische Annalen (2008)

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  19. 2007

    Iwasawa theory and the Eisenstein ideal

    Duke Mathematical Journal (2007)

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  20. 2007

    Massey products and ideal class groups

    Journal für die reine und angewandte Mathematik (2007)

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  21. 2005

    On the failure of pseudo-nullity of Iwasawa modules

    with Yoshitaka Hachimori, Journal of Algebraic Geometry (2005)

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  22. 2003

    A cup product in the Galois cohomology of number fields

    with William McCallum, Duke Mathematical Journal (2003)

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  23. 2002

    Relationships between conjectures on the structure of pro-p Galois groups unramified outside p

    Arithmetic Fundamental Groups and Noncommutative Algebra

    Proceedings of Symposia in Pure Mathematics, Springer (2002)

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  24. 2002

    Determination of conductors from Galois module structure

    Mathematische Zeitschrift (2002)

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  25. 2001

    Minimal conductors of Kummer extensions by roots of unit elements

    Journal of the Ramanujan Mathematical Society (2001)

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  26. 2001

    On norm residue symbols and conductors

    Journal of Number Theory (2001)

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  27. 1999

    Twisted Heisenberg representations and local conductors

    Ph.D. thesis, The University of Chicago (1999)

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  28. 1997

    Ramification groups of nonabelian Kummer extensions

    Journal of Number Theory (1997)

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  29. 1997

    On cyclotomic polynomials, power residues and reciprocity laws

    L'Enseignement Mathématique (1997)

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