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 Fall 2009, I am teaching math 250A: Groups, rings, and fields. This course will be administered through bspace.

Seminars:

This fall I am running a student seminar on arithmetic geometry. The seminar webpage is here.

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. The versions of my papers below often differ (sometimes substantially) from the final published version. For purposes of citation please refer to the published version. A complete list of my papers (as well as links to the published versions) can be found in Mathscinet.

  • Compatible systems and duality pdf.

  • 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. pdf.

  • 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. pdf.

  • 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. pdf.

  • Perverse sheaves on Artin stacks, With Yves Laszlo. Math. Zeit. 261, (2009), 737-748. pdf

  • The six operations for sheaves on Artin stacks II: adic coefficients . With Yves Laszlo. Publ. Math. IHES 107 (2008), 169-210. pdf.

  • On Faltings' method of almost \'etale extensions pdf Algebraic geometry---Seattle 2005, Part 2, 811--936, Proc. Sympos. Pure Math. 80, Part 2, Amer. Math. Soc., Providence, RI, 2009.

  • The six operations for sheaves on Artin stacks I: finite coefficients. With Yves Laszlo. Publ. Math. IHES 107 (2008), 109--168. pdf.

  • 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.pdf.

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

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

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

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

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

  • 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. pdf.

  • 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.pdf.

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

  • 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.pdf.

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

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

  • 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.pdf.

  • 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.

    Here are the lecture notes for three talks on abelian varieties I gave at a workshop in Hangzhou, China (August, 2009): Notes