- 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 ) --- to appear in Annals of Mathematics
- Cohomology operations and inverting the motivic Bott element (with R. Joshua )
- 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 ) ) --- to appear in Duke Mathematical Journal
- Essential dimension, spinor groups and quadratic forms (with Z. Reichstein and A. Vistoli ) --- to appear in Annals of Mathematics
- A generalization of the Néron models of Green, Griffiths and Kerr (with G. Pearlstein and M. Saito )
- 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
- Nilpotent cones and their representation theory with G. Pearlstein and Colleen Robles.
- Hyperplane arrangements and invariant theory with Prakash Belkale and Swarnava Mukhopadhyay
- Perverse obstructions to flat regular compactifications.
- Jumps in the Archimedean Height with G. Pearlstein.