Department of Mathematics - University of California, Berkeley

Research interests

CV

Papers

• Étale devissage, descent and push-outs of stacks (32 pages) pdf. Draft (Nov 2009).
• The canonical embedding of an unramified morphism in an étale morphism (16 pages) pdf. arXiv:math/0910.0056v1
• Noetherian approximation of algebraic spaces and stacks (33 pages) pdf. arXiv:math/0904.0227v2
• Families of cycles (72 pages) pdf. Draft (2008).
• Families of zero-cycles and divided powers: I. Representability (52 pages) pdf. arXiv:math/0803.0618v1
• Families of zero-cycles and divided powers: II. The universal family (24 pages) pdf. Draft (2008).
• Hilbert and Chow schemes of points, symmetric products and divided powers (40 pages) pdf. Draft (2008).
• Representability of Hilbert schemes and Hilbert stacks of points (12 pages) pdf. arXiv:math/0802.3807v1
• Existence of quotients by finite groups and coarse moduli spaces (33 pages) pdf. arXiv:math/0708.3333v1
• (with R. Skjelnes) The space of generically étale families (28 pages) pdf. arXiv:math/0703329v2
• Submersions and effective descent of étale morphisms (42 pages) pdf. To appear in Bull. Soc. Math. France. arXiv:math/0710.2488v3
• A minimal set of generators for the ring of multisymmetric functions (25 pages) pdf. Ann. Inst. Fourier 57 (2007), no. 6, p. 1741-1769 article. arXiv:0710.0470v1
• Seminormality (34 pages). Old draft (2005).

Thesis

• Families of cycles and the Chow scheme. Ph. D. Thesis. May 2008. KTH, Stockholm

Notes

• Some remarks on the resolution property (2 pages) Sep 23, 2009 pdf.