Published
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publ |
Artin algebraization for pairs with applications to the local structure of stacks and Ferrand pushouts
(w/ J. Alper, J. Hall & D. Halpern-Leistner)
Forum Math. Sigma, 12 (2024), e20, pp. 1–25.
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2205.08623 |
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publ |
Mayer–Vietoris squares in algebraic geometry
(w/ J. Hall) J. London Math. Soc. 107(5) (2023), pp. 1583–1612.
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1606.08517v2 |
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publ |
Canonical reduction of stabilizers for Artin stacks with good moduli spaces
(w/ D. Edidin) Duke Math. J. 170(5) (2020), 827–880.
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1710.03220v3 |
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publ |
A Luna étale slice theorem for algebraic stacks
(w/ J. Alper & J. Hall) Ann. of Math. 191(3) (2020), 675–738.
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1504.06467v3 |
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publ |
Coherent Tannaka duality and algebraicity of Hom-stacks
(w/ J. Hall) Algebra Number Theory 13(7) (2019), 1633–1675.
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(1405.7680v3) |
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publ |
One positive and two negative
results for derived categories of algebraic stacks
(w/ J. Hall & A. Neeman) J. Inst. Math. Jussieu 18(5) (2019), 1087–1111.
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(1405.1888v2) |
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publ |
Artin's criteria for algebraicity revisited
(w/ J. Hall) Algebra Number Theory 13(4) (2019),
749–796.
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(1306.4599v1) |
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publ |
The complexity of a flat groupoid
(w/ M. Romagny & G. Zalamansky) Doc. Math. 23 (2018),
1157–1196.
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1609.00516v4 |
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publ |
Addendum: Étale dévissage, descent and pushouts of stacks
(w/ J. Hall) J. Algebra 498 (2018), 398–412.
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1712.07976 |
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publ |
Perfect complexes on algebraic stacks
(w/ J. Hall) Compos. Math. 153(11) (2017), 2318–2367.old title: Tame stacks are perfect |
(1405.1887v3) |
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publ |
The telescope conjecture for algebraic stacks
(w/ J. Hall) J. Topol. 10(3) (2017), 776–794.
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1606.08413v2 |
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publ |
Approximation of sheaves on algebraic stacks
Int. Math. Res. Not. IMRN 2016, no. 3, 717–737.old title: Approximation of sheaves on algebraic stacks with quasi-affine diagonal |
1408.6698v3 |
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publ |
Algebraic groups and compact
generation of their derived categories of representations
(w/ J. Hall) Indiana Univ. Math. J. 64(6) (2015), 1903–1923.
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1405.1890v3 |
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publ |
General Hilbert stacks and Quot schemes
(w/ J. Hall) Michigan Math. J. 64 (2015), 335–347.
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1306.4118v3 |
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publ |
Noetherian approximation of algebraic spaces and stacks
J. Algebra 422 (2015), 105–147.
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0904.0227v4 |
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publ |
The Hilbert stack
(w/ J. Hall) Adv. Math. 253 (2014), 194–233.
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(1011.5484v2) |
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publ |
Existence and properties of
geometric quotients
J. Algebraic Geom. 22 (2013), 629–669.old title: Existence of quotients by finite groups and coarse moduli spaces |
0708.3333v2 |
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publ |
Étale dévissage, descent and pushouts of stacks
J. Algebra 331(1) (2011), 194–223.
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1005.2171v2 |
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publ |
The canonical embedding of an unramified morphism in an étale morphism
Math. Z. 268(3–4) (2011), 707–723. |
0910.0056v2 |
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publ |
Representability of Hilbert schemes and Hilbert stacks of points
Comm. Alg. 39(7) (2011), 2632–2646. |
0802.3807v2 |
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publ |
An intrinsic construction of the principal component of the Hilbert scheme
(w/ R. Skjelnes) J. London Math. Soc. 82(2) (2010), 459–481.
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(0703329v2) |
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publ |
Submersions and effective descent
of étale morphisms
Bull. Soc. Math. France 138(2) (2010), 181–230.
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0710.2488v3 |
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publ |
A minimal set of generators for the ring of
multisymmetric functions
Ann. Inst. Fourier 57(6) (2007), 1741–1769.
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0710.0470v1 |
Other
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publ |
Toroidal orbifolds, destackification, and Kummer blowings up (Appendix to paper by D. Abramovich, M. Temkin & J. Włodarczyk) Algebra Number Theory, 14(8) (2020), 2001–2035.
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(1709.03206) |
Non-refereed
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publ | Tame and wild ramification via stacks
Oberwolfach report 38/2012, 2342–2344.
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Preprints (intended for publication)
Absolute noetherian approximation of algebraic stacks
Nov 2023, pp. 16.
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2311.09208 | |
Stabilizer reduction for derived stacks and applications to sheaf-theoretic invariants
(w/ J. Hekking & M. Savvas) Sep 2022, pp. 70.
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2209.15039 | |
Weighted Blow-ups
(w/ M. H. Quek) Mar 2022, pp. 46.
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A generalization of Luna's fundamental lemma for stacks with good moduli spaces
Aug 2020, pp. 21.
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2008.11118 | |
The étale local structure of algebraic stacks
(w/ J. Alper & J. Hall) Jan 2021, pp. 57.
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1912.06162v2 | |
Virtual Cartier divisors and blow-ups
(w/ A. Khan) May 2019, pp. 19.
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1802.05702v2 | |
Functorial destackification and
weak factorization of orbifolds
(w/ D. Bergh) May 2019, pp. 37.
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1905.00872v1 | |
Compactification of tame Deligne–Mumford stacks
Draft, May 2011, pp. 57.
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Compactification of stacks
and extending stackiness across the boundary
Sep 2014, pp. 14.
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In preparation
Submersions and effective descent of étale morphisms II
Draft, Jan 2017, pp. 17.
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Functorial flatification of proper morphisms
Draft, Nov 2015, pp. 7.
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Tannaka duality for algebraic stacks with quasi-affine diagonal
(w/ J. Hall) Draft, May 2014, pp. 10.
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Coherence of half-exact functors
(w/ J. Hall) Draft, Jun 2012, pp. 18.
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Functorial resolution of
singularities in characteristic zero using Rees algebras
Draft, April 2013, pp. 28.
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Equivariant flatification, étalification and compactification
In preparation, Oct 2016, pp. 8.
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Weak factorization of Deligne–Mumford stacks
In preparation, Oct 2015.
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Generalized Bertini theorems and finite coverings of arithmetic stacks
In preparation, Sep 2015.
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Thesis
Families of cycles and the Chow scheme
Ph. D. Thesis. May 2008. KTH, Stockholm, pp. 218 |
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Families of zero-cycles and divided powers:
I. Representability
March 2008, pp. 52.
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0803.0618v1 | |
Families of zero-cycles and divided powers:
II. The universal family
April 2008, pp. 24.
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Hilbert and Chow schemes of points, symmetric
products and divided powers
April 2008, pp. 40.
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Families of cycles
May 2008, pp. 72 (draft).
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(the authoritative version is the published version or the pdf)