Tobias Dyckerhoff

Research interests

noncommutative algebraic geometry, mathematical physics, differential Galois theory

Teaching

• Math 371: Algebra (Summer 2009)
• Math 420: Ordinary Differential Equations (Summer 2008)
• Math 412: Linear Algebra (Summer 2007)

Publications/Preprints

• The Kapustin-Li formula revisited
  joint with D. Murfet (in preparation)

• Compact generators in categories of matrix factorizations
  Preprint: arXiv:0904.4713 (submitted)

• The inverse problem of differential Galois theory over the field R(z)
  Preprint: arXiv:0802.2897 (submitted)

• Picard-Vessiot extensions over number fields (diplom thesis)

Selected talks

• Columbia University, Algebraic Geometry Seminar (Nov 2009)

• University of Wisconsin-Madison, Algebraic Geometry Seminar (Nov 2009)

• GTEM Workshop on Constructive Galois Theory (Feb 2008)
  Title: Tutorial on differential Galois theory
  Slides:

  • Lecture 1
  • Lecture 2
  • Lecture 3

• MF Oberwolfach: Arithmetic and Differential Galois Groups (May 2007)
  Title: The inverse problem of differential Galois theory over the field R(z)
  Extended abstract: Oberwolfach Report No. 26/2007

• Kolchin Seminar in Differential Algebra (Dec 2005)
  Title: Picard-Vessiot theory over non-algebraically closed fields of constants