More Publications (and thesis)

Relationships between conjectures on the structure of pro-p Galois groups unramified outside p
Proceedings of Symposia in Pure Mathematics (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)


Miscellaneous Writings

Slides from a talk at University of Chicago on 2/22/11
A proof of a duality result of Fukaya-Kato
A comparison of Poitou-Tate and Kummer maps
Slides from a talk at CNTA IX in 7/06
Slides from a talk at the AMS winter meeting on 1/7/05
Slides from a talk at Schloss Dagstuhl conference on 5/17/04
Slides from a colloquium talk at International Univ. Bremen on 5/10/04
Notes from a talk at Miami Winter School on 12/18/03
Lecture notes from Göttingen Seminars on 10/22 and 10/23/03
Notes from a talk on Massey products at MPI on 8/27/03
Slides from a colloquium talk at U.C.S.B. in 2/03
Slides from a talk on the cup product at Stark's Conj. Conference on 8/9/02
On the structure of a Galois Lie algebra (Luminy talk)
The computation of certain cohomology groups for p=2


Computations... related to a cup product

Magma routines for computing the pairing
table of the pairing for p < 10000
table of the pairing for 10000 < p < 15000
table of the pairing for 15000 < p < 20000
table of the pairing for 20000 < p < 25000
Magma routines used in determining nontriviality (1) (2)
Output of nontriviality routines for p = 37