Existence of moduli spaces for algebraic stacks
(with D. Halpern-Leistner and J. Heinloth), pdf.
Syzygies of the apolar ideals of the determinant and permanent
(with R. Rowlands), pdf.
The étale local structure of algebraic stacks
(with J. Hall and D. Rydh), coming soon.
A Luna étale slice theorem for algebraic stacks
(with J. Hall and D. Rydh), pdf.
Second flip in the Hassett-Keel program: A local description
(with M. Fedorchuk, D. Smyth and F. van der Wyck), pdf. Compositio Mathematica 153 (2017), no. 8, 1547-1583.
Second flip in the Hassett-Keel program: Existence of good moduli spaces
(with M. Fedorchuk and D. Smyth), pdf. Compositio Mathematica 153 (2017), no. 8, 1584-1609.
Second flip in the Hassett-Keel program: Projectivity
(with M. Fedorchuk and D. Smyth), pdf.
to appear in International Mathematics Research Notices.
An integrated version of the above three papers, pdf.
Associated forms and hypersurface singularities: The binary case (with A. Isaev),
pdf.
to appear in Journal für die reine und angewandte Mathematik.
A lower bound for the determinantal complexity of a hypersurface
(with T. Bogart and M. Velasco), pdf. Foundations of Computational Mathematics 17 (2017), no. 3, 829-836.
Associated forms of binary quartics and ternary cubics (with A. Isaev and N.G. Kruzhilin),
pdf. Transformation Groups 21 (2016), no. 2, 593-618.
Equivariant versal deformations of semistable curves
(with A. Kresch), pdf. Michigan Mathematical Journal 65 (2016), no. 2, 227-250.
Singularities with G_m-action and the log minimal model program for M_g
(with M. Fedorchuk and D. Smyth), pdf. Journal für die reine und angewandte Mathematik, 721
(2016), 1-41.
Adequate moduli spaces and geometrically reductive group schemes,
pdf. Algebraic Geometry 1 (2014), no. 4, 489-531.
Associated forms in classical invariant theory and their applications to hypersurface singularities
(with A. Isaev), pdf. Mathematische Annalen 360 (2014), no. 3-4, 799-823.
Good moduli spaces for Artin stacks,
pdf. Annales de l'Institut Fourier 63 (2013), no. 6, 2349-2402.
Invariant rings through categories (with J. de Jong),
pdf. Journal of Algebra 375 (2013), 235-257.
Finite Hilbert stability of (bi)canonical curves
(with M. Fedorchuk and D. Smyth),
pdf. Inventiones mathematicae 191 (2013), no. 3, 671-718 (journal version).
Common left- and right-hand divisors of a quaternion integer
(with M. Abouzaid, S. DiMauro, J. Grosslight, and D. Smith)
Journal of Pure and Applied Algebra 27 (2013), no. 5, 779-785
(journal version).
Recasting results in equivariant geometry:
affine cosets, observable subgroups, and existence of good quotients (with R. Easton),
pdf. Transformation Groups 17 (2012), no. 1, 1-20.
GIT Constructions of Log Canonical Models of M_g (with D. Hyeon),
pdf . Compact Moduli and Vector Bundles, 87-106, Contemporary mathematics, 564,
American Math Society, Providence, RI, 2012
(Proceedings of the 2010 conference at the University of Georgia, Athens)
(journal version).
Local properties of Artin stacks,
pdf (this version contains several corrections of the published version). Tohoku Mathematical Journal 64 (2012), no. 1, 105-123.
Computing invariants via slicing groupoids:
Gel'fand MacPherson, Gale and positive characteristic stable maps,
pdf. Mathematische Nachrichten 285 (2012), no. 5-6, 562-579.
On the local quotient structure of Artin stacks,
pdf (this version contains several corrections of the published version). Journal of Pure and Applied Algebra 214 (2010), no. 9, 1576-1591.
On cosets of the unit loop of octonion integers,
(with M. Abouzaid, S. DiMauro, J. Grosslight and D. Smith). Communications in Algebra 35 (2007), no. 1, 207-214
(journal version).
On the choice of random directions for stochastic approximation algorithms,
(with J. Theiler). IEEE Trans. Automat. Control 51 (2006), no. 3, 476-481 (journal version).
Lecture notes
Artin algebraization and quotient stacks, pdf.
notes from the summer school Algebraic stacks and related topics in Mainz, Germany (Aug. 31 - Sept. 4, 2015).
Lecture abstracts
The moduli stack of semistable curves Oberwolfach Reports, Report No. 6 (2013), 373-376 (journal version).