Published

publ
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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.
2205.08623
publ
pdf
Mayer–Vietoris squares in algebraic geometry
(w/ J. Hall) J. London Math. Soc. 107(5) (2023), pp. 1583–1612.
1606.08517v2
publ
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Canonical reduction of stabilizers for Artin stacks with good moduli spaces
(w/ D. Edidin) Duke Math. J. 170(5) (2020), 827–880.
1710.03220v3
publ
pdf
A Luna étale slice theorem for algebraic stacks
(w/ J. Alper & J. Hall) Ann. of Math. 191(3) (2020), 675–738.
1504.06467v3
publ
pdf
Coherent Tannaka duality and algebraicity of Hom-stacks
(w/ J. Hall) Algebra Number Theory 13(7) (2019), 1633–1675.
(1405.7680v3)
publ
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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.
(1405.1888v2)
publ
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Artin's criteria for algebraicity revisited
(w/ J. Hall) Algebra Number Theory 13(4) (2019), 749–796.
(1306.4599v1)
publ
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The complexity of a flat groupoid
(w/ M. Romagny & G. Zalamansky) Doc. Math. 23 (2018), 1157–1196.
1609.00516v4
publ
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Addendum: Étale dévissage, descent and pushouts of stacks
(w/ J. Hall) J. Algebra 498 (2018), 398–412.
1712.07976
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Perfect complexes on algebraic stacks
(w/ J. Hall) Compos. Math. 153(11) (2017), 2318–2367.
old title: Tame stacks are perfect
(1405.1887v3)
publ
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The telescope conjecture for algebraic stacks
(w/ J. Hall) J. Topol. 10(3) (2017), 776–794.
1606.08413v2
publ
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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
publ
pdf
Algebraic groups and compact generation of their derived categories of representations
(w/ J. Hall) Indiana Univ. Math. J. 64(6) (2015), 1903–1923.
1405.1890v3
publ
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General Hilbert stacks and Quot schemes
(w/ J. Hall) Michigan Math. J. 64 (2015), 335–347.
1306.4118v3
publ
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Noetherian approximation of algebraic spaces and stacks
J. Algebra 422 (2015), 105–147.
0904.0227v4
publ
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The Hilbert stack
(w/ J. Hall) Adv. Math. 253 (2014), 194–233.
(1011.5484v2)
publ
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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
publ
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Étale dévissage, descent and pushouts of stacks
J. Algebra 331(1) (2011), 194–223.
1005.2171v2
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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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Representability of Hilbert schemes and Hilbert stacks of points
Comm. Alg. 39(7) (2011), 2632–2646.
0802.3807v2
publ
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An intrinsic construction of the principal component of the Hilbert scheme
(w/ R. Skjelnes) J. London Math. Soc. 82(2) (2010), 459–481.
(0703329v2)
publ
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Submersions and effective descent of étale morphisms
Bull. Soc. Math. France 138(2) (2010), 181–230.
0710.2488v3
publ
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A minimal set of generators for the ring of multisymmetric functions
Ann. Inst. Fourier 57(6) (2007), 1741–1769.
0710.0470v1

Other

publ
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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.
(1709.03206)

Non-refereed

publ
Tame and wild ramification via stacks
Oberwolfach report 38/2012, 2342–2344.

Preprints (intended for publication)

pdf
Functorial flatification of proper morphisms
Dec 2024, pp. 16.
pdf
Absolute noetherian approximation of algebraic stacks
Nov 2023, pp. 16.
2311.09208
Stabilizer reduction for derived stacks and applications to sheaf-theoretic invariants
(w/ J. Hekking & M. Savvas) Sep 2022, pp. 70.
2209.15039
pdf
Weighted Blow-ups
(w/ M. H. Quek) Mar 2022, pp. 46.
pdf
A generalization of Luna's fundamental lemma for stacks with good moduli spaces
Aug 2020, pp. 21.
2008.11118
pdf
The étale local structure of algebraic stacks
(w/ J. Alper & J. Hall) Jan 2021, pp. 57.
1912.06162v2
pdf
Virtual Cartier divisors and blow-ups
(w/ A. Khan) May 2019, pp. 19.
1802.05702v2
pdf
Functorial destackification and weak factorization of orbifolds
(w/ D. Bergh) May 2019, pp. 37.
1905.00872v1
pdf
Compactification of tame Deligne–Mumford stacks
Draft, May 2011, pp. 57.
pdf
Compactification of stacks and extending stackiness across the boundary
Sep 2014, pp. 14.

In preparation

Submersions and effective descent of étale morphisms II
Draft, Jan 2017, pp. 17.
pdf
Tannaka duality for algebraic stacks with quasi-affine diagonal
(w/ J. Hall) Draft, May 2014, pp. 10.
Coherence of half-exact functors
(w/ J. Hall) Draft, Jun 2012, pp. 18.
Functorial resolution of singularities in characteristic zero using Rees algebras
Draft, April 2013, pp. 28.
Equivariant flatification, étalification and compactification
In preparation, Oct 2016, pp. 8.
Weak factorization of Deligne–Mumford stacks
In preparation, Oct 2015.
Generalized Bertini theorems and finite coverings of arithmetic stacks
In preparation, Sep 2015.

Thesis

pdf
Families of cycles and the Chow scheme
Ph. D. Thesis. May 2008. KTH, Stockholm, pp. 218
pdf
Families of zero-cycles and divided powers: I. Representability
March 2008, pp. 52.
0803.0618v1
pdf
Families of zero-cycles and divided powers: II. The universal family
April 2008, pp. 24.
pdf
Hilbert and Chow schemes of points, symmetric products and divided powers
April 2008, pp. 40.
pdf
Families of cycles
May 2008, pp. 72 (draft).
(the authoritative version is the published version or the pdf)
List of my arXiv preprints