Video Presentations.

  • Crepant Categorical Resolutions and a Toric Orlov Theorem.
    Matrix Factorizations in Mathematics and Physics, and TQFT June 16, 2017, Simons Center for Geometry and Physics, Stonybrook New York, USA.

  • Comparing derived categories for various mirror constructions.
    Wall Crossing, Quantum Integrable Systems, and TQFT November 18, 2014, Simons Center for Geometry and Physics, Stonybrook New York, USA.

  • Variation of geometric invariant theory and derived categories.
    Linking representation theory, singularity theory and non-commutative algebraic geometry, May 9, 2012, BIRS, Banff, Canada.

  • Generation time and algebraic cycles.
    Derived categories in Algebraic Geometry, September 8, 2011, Steklov Institute, Moscow, Russia.


  • Slides.

  • Survey of Derived Categories in Algebraic Geometry

  • Homological Mirror Symmetry and GIT.

  • Variation of geometric invariant theory and derived categories.

  • Orlov Spectra of categories arising in mirror symmetry.

  • Graded matrix factorizations and functor categories.