Professor of Mathematics

An extension of the FukayaKato method
submitted for publication
Toroidal compactifications of the moduli spaces of Drinfeld modules, I
with Takako Fukaya and Kazuya Kato,
preprint
Eisenstein cocycles in motivic cohomology
with Akshay Venkatesh
submitted for publication
Generalized Bockstein maps and Massey products
with Yeuk Hay Joshua Lam, Yuan Liu, Preston Wake, and Jiuya Wang
to appear in Forum of Mathematics, Sigma
Reciprocity maps with restricted ramification
Transactions of the American Mathematical Society (2022)
(journal version)
Exterior powers in Iwasawa theory
with Frauke Bleher, Ted Chinburg, Ralph Greenberg, Mahesh Kakde, and Martin Taylor
Journal of the European Mathematical Society (2022)
(journal version)
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)
(journal version)
Iwasawa theory: a climb up the tower
Notices of the American Mathematical Society (2019)
(journal version)
Compactifications of Sarithmetic 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)
(book version)
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 (journal version)
Modular symbols in Iwasawa theory
with Takako Fukaya and Kazuya Kato, in
Iwasawa Theory 2012
Contributions in Mathematical and Computational Sciences (2014)
(book version)
Related preprint of Fukaya and Kato:
On conjectures of Sharifi
The reciprocity conjecture of Khare and Wintenberger
International Mathematics Research Notices (2014)
(journal version)
Nekovář duality over padic Lie extensions of global
fields
with Meng Fai Lim, Documenta Mathematica (2013)
(journal version)
Galois module structure of local unit groups
Algebra & Number Theory (2013)
(journal version)
A reciprocity map and the twovariable padic
Lfunction
Annals of Mathematics (2011)
(journal version)
Cup products and Lvalues of cusp forms
Pure and Applied Mathematics Quarterly (2009)
(journal version)
On Galois groups of unramified prop extensions
Mathematische Annalen (2008)
(journal version)
Iwasawa theory and the Eisenstein ideal
Duke Mathematical Journal (2007) (journal version)
Massey products and ideal class groups
Journal für die reine und angewandte Mathematik (2007)
(journal version)
On the failure of pseudonullity of Iwasawa modules
with Yoshitaka Hachimori,
Journal of Algebraic Geometry (2005) (journal version)
A cup product in
the Galois cohomology of number fields
with William McCallum,
Duke Mathematical Journal (2003)
(journal version, related
computations)
Relationships
between conjectures on the structure of prop Galois groups
unramified outside p
Arithmetic Fundamental Groups and Noncommutative Algebra
Proceedings of Symposia in Pure Mathematics, Springer (2002)
Determination of
conductors from Galois module structure
Mathematische
Zeitschrift (2002) (journal
version)
Minimal
conductors of Kummer extensions by roots of unit
elements
Journal of the Ramanujan Mathematical Society
(2001)
On norm residue
symbols and conductors
Journal of Number Theory (2001) (journal
version)
Twisted Heisenberg
representations and local conductors
Ph.D. thesis, The University of Chicago
(1999)
Ramification
groups of nonabelian Kummer extensions
Journal of Number
Theory (1997) (journal
version)
On cyclotomic
polynomials, power residues and reciprocity laws
L'Enseignement
Mathématique (1997) (journal version)