List of Papers
Almost all of these can also be found on the ArXiv. For
the published papers, if you have access to the journal, it is probably better to look
at the published version.
- Steenrod Operations in Chow Theory ---
final version
in Trans. Am. Math. Soc.
- Matroids, motives and a conjecture
of Kontsevich
(with
P. Belkale
) --- final version in Duke Mathematical Journal
- Periods and Igusa zeta functions
(with
P. Belkale
) ---
final version in IMRN
- A Short proof of Rost nilpotence --- final version
in Documenta Mathematica
-
On motivic decompositions arising from the method
of Białynicki-Birula --- final version in Inventiones Mathematicae
- The essential dimension of a g dimensional
complex abelian variety is 2g --- final version in
Transformation Groups
- The zero locus of an admissible
normal function (with
G. Pearlstein
)
---
in Annals of Mathematics
- Cohomology operations and inverting
the motivic Bott element (with
R. Joshua.
) Final version published as Comparison of motivic and simplicial operations in mod-l-motivic and étale cohomology in the proceedings book Feynman amplitudes, periods and motives, 29–55, Contemp. Math., 648.
-
Essential dimension and algebraic stacks
(with
Z. Reichstein
and
A. Vistoli
)
-
Singularities of admissible normal functions
(with
Hao Fang
,
Zhaohu Nie
and
Gregory Pearlstein
and an appendix by
Najmuddin Fakhruddin
)
--- in Inventiones Mathematicae .
-
Essential dimension of abelian varieties over number fields
(with
Ramesh Sreekantan
) --- final version in
CRAS
- Zero loci of admissible normal functions with torsion singularities (with
G. Pearlstein
)
) --- in Duke Mathematical Journal
-
Essential dimension, spinor groups and quadratic forms
(with
Z. Reichstein
and
A. Vistoli
)
---
in Annals of
Mathematics
-
A generalization of the Néron models of Green, Griffiths and
Kerr (with
G. Pearlstein
and
M. Saito
) -- unpublished
- Essential dimension of moduli of curves and other algebraic stacks
(with
Z. Reichstein
and
A. Vistoli
and an appendix by Najmuddin Fakhruddin)
--- final version in the
Journal of the European Mathematical Society.
- On the algebraicity of the zero locus of an
admissible normal function (with
G. Pearlstein)
final version in
Compostio Mathematica
- The locus of Hodge classes in an admissible
variation of mixed Hodge structure (with
G. Pearlstein
and
C. Schnell
) final version in
CRAS
-
Unit Interval Orders and the Dot Action on the Cohomology of Regular Semisimple Hessenberg Varieties
with Timothy Y. Chow. In
Advances in Mathematics.
- Nilpotent cones and their representation theory
with
G. Pearlstein
and
Colleen Robles.
Hodge theory and L2-analysis, Adv. Lect. Math. (ALM), 39, Int. Press.
- Hyperplane arrangements and invariant theory
with
Prakash Belkale
and
Swarnava Mukhopadhyay.
To appear in Michigan Mathematical Journal
- Perverse obstructions to flat regular compactifications.
In Mathematische Zeitschrift.
- Jumps in the Archimedean Height
with
G. Pearlstein.
Final version in Duke Mathematical Journal.
-
Essential dimension in mixed characteristic
(with
Z. Reichstein
and
A. Vistoli
). Final version in Documenta Mathematica.
-
Fixed points, local monodromy, and incompressibility of congruence covers
(with Najmuddin Fakhruddin).
-
Volumes of definable sets in o-minimal expansions
and affine GAGA theorems