Structure results for torus fixed loci (with F. Janda), pdf
Coherently complete algebraic stacks in positive characteristic
(with J. Hall and D. B. Lim), pdf.
The étale local structure of algebraic stacks (with J. Hall and D. Rydh), pdf.
Publications
Existence of moduli spaces for algebraic stacks
(with D. Halpern-Leistner and J. Heinloth), pdf.
to appear in Inventiones mathematicae.
Artin algebraization for pairs with applications to the local structure of stacks and Ferrand pushouts (with
J. Hall, D. Halpern-Leistner, and D. Rydh), pdf.
to appear in Forum of Mathematics, Sigma.
Projectivity of the moduli space of vector bundles on a curve (with P. Belmans, D. Bragg, J. Liang, and T.
Tajakka), pdf.
to appear in Stacks Project Expository Collection published by Cambridge University Press, 2022.
Reductivity of the automorphism group of K-polystable Fano varieties
(with H. Blum, D. Halpern-Leistner and C. Xu), pdf.
Inventiones mathematicae, 222 (2020), no. 3, 995-1032.
A Luna étale slice theorem for algebraic stacks
(with J. Hall and
D. Rydh), pdf.
Annals of Mathematics, (2) 191 (2020), no. 3, 675-738.
Cartan-Iwahori-Matsumoto decompositions for reductive groups
(with D. Halpern-Leistner and
J. Heinloth), pdf.
Pure and Applied Mathematics Quarterly, special
issue in dedication to David Mumford's 80th birthday, 17 (2021), no. 2, 593-604.
Syzygies of the apolar ideals of the determinant and permanent
(with R. Rowlands), pdf.
Journal of Algebraic Combinatorics, 51 (2020), no. 3, 419-454.
Associated forms and hypersurface singularities: The binary case (with A. Isaev),
pdf.
Journal für die reine und angewandte Mathematik, 745
(2018), 83-104.
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.
International Mathematics Research Notices, no. 24, (2017), 7375-7419.
An integrated version of the above three papers, pdf.
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).