Martin Olsson

Contact me:

The best way to reach me is to email me at molsson[at]math[dot]university-name[dot]edu, stop by my office Evans 879, or call (510)642-5229.
Mail can also be sent to:
Martin Olsson
Department of Mathematics
970 Evans Hall #3840
University of California
Berkeley, CA 94720-3840


Teaching:

In Spring 2009, I am not teaching.

Seminars:

In Spring 2009, I will be spending a lot of my time at MSRI. In addition, I am organizing a student arithmetic geometry seminar.

Recent Preprints and Papers:

My research is partially funded by NSF grant DMS-0714086, NSF CAREER grant DMS-0748718, and an Alfred P. Sloan Research Fellowship.

  • Nagata compactification for algebraic spaces pdf. With Brian Conrad and Max Lieblich.

  • The bar construction and affine stacks pdf.

  • Integral models for moduli spaces of G-torsors pdf.

  • Twisted stable maps to tame Artin stacks pdf. With D. Abramovich and A. Vistoli.

  • Fujiwara's theorem for equivariant correspondences pdf.

  • Logarithmic interpretation of the main component in toric Hilbert schemes, in Proceedings of the International Conference on Curves and Abelian Varieties Edited by: Valery Alexeev, Arnaud Beauville, Herb Clemens, and Elham Izadi.

  • The Picard group of $M_{1,1}$ pdf, dvi. With William Fulton.

  • Tame stacks in positive characteristic, With Dan Abramovich and Angelo Vistoli. Anneles de l'Institut Fourier 58 (2008), 1057-1091.

  • Generators and relations for the etale fundamental group pdf, dvi, With Max Lieblich.

  • Canonical compactifications of moduli spaces for abelian varieties. Chapters 3 and 4 of this monograph contain the results of my earlier preprint "Modular description of the main components in Alexeev's compactifications". Springer Lecture Notes in Math 1958.

  • Perverse sheaves on Artin stacks, With Yves Laszlo. Math. Zeit.

  • The six operations for sheaves on Artin stacks II: adic coefficients . With Yves Laszlo. To appear in Publ. Math. IHES.

  • On Faltings' method of almost \'etale extensions pdf to appear in the proceedings of the 2005 AMS Summer Research Institute in Algebraic Geometry.

  • The six operations for sheaves on Artin stacks I: finite coefficients. With Yves Laszlo. To appear in Publ. Math. IHES.

  • On the global quotient structure of the space of twisted stable maps to a quotient stack. With D. Abramovich, T. Graber, and H.-H. Tseng. Journal of Algebraic Geometry 16 (2007), 731-751.

  • On (log) twisted curves. Comp. Math. 143 (2007), 476-494.

  • Hom--stacks and restriction of scalars. Duke Math. J. 134 (2006), 139-164.

  • A boundedness theorem for Hom-stacks. Mathematical Research Letters 14 (2007), 1009-1023.

  • Crystalline cohomology of algebraic stacks and Hyodo-Kato cohomology . Asterisque 316.

  • Sheaves on Artin stacks . J. Reine Angew. Math. (Crelle's Journal) 603 (2007), 55-112.

  • Towards non--abelian $P$--adic Hodge theory in the good reduction case pdf.

  • F-isocrystals and homotopy types, J. Pure and Applied Algebra 210 (2007), 591-638.

  • On proper coverings of Artin stacks, Advances in Mathematics 198 (2005), 93-106.

  • A stacky semi-stable reduction theorem , Int. Math. Res. Not. 29 (2004), 1497--1509.

  • Kawamata-Viehweg vanishing as Kodaira vanishing for stacks . with Kenji Matsuki. Math. Res. Letters 12 (2005), 207-217.

  • The logarithmic cotangent complex. Math. Ann. 333, 859--931 (2005)

  • Deformation theory of representable morphisms of algebraic stacks. Math. Zeit. 253 (2006), 25-62.

  • Logarithmic geometry and algebraic stacks. Ann. Sci. d'ENS 36 (2003), 747--791.

  • Universal log structures on semi-stable varieties. Tohoku Math Journal 55 (2003) 397--438.

  • Semi-stable degenerations and period spaces for polarized K3 surfaces. Duke Math. J. 125 (2004), 121-203.

  • Quot functors for Deligne-Mumford stacks. with Jason Starr. Special volume in honor of S. Kleiman's 60th birthday, Comm. Alg. 31 (2003) 4069--4096.

  • Log algebraic stacks and moduli of log schemes (my thesis) dvi, ps.

    Lecture Notes:

    Here are the lecture notes from my lectures at MSRI during the workshop on deformation theory and moduli in algebraic geometry (July 23-August 3, 2007), pdf.