Lehrveranstaltungen an der Humboldt Universität

Wintersemester 2009-10: Algebra I.

Sommersemester 2009: Lineare Algebra und analytische Geometrie II.

Wintersemester 2008-09: Lineare Algebra und analytische Geometrie I.

Sommersemester 2008: Algebraic Geometry (Berlin Mathematical School course).

Wintersemester 2007-08: Vorlesung: Algebraic curves and Riemann surfaces, Seminar: Introduction to number theory.


Older courses taught at the University of Texas at Austin

Fall 2006: Classical Algebraic Geometry.

Spring 2005: Algebraic Geometry (following Mumford's Red Book of Varieties and Schemes).

Fall 2006: Abelian Varieties (the classical theory of theta functions and construction of moduli spaces).

Fall 2005: Multivariable Calculus.


Mathematical notes and lectures

  • Here are links to the videos of my 2007 lectures on moduli spaces of curves in Daejeon, Korea for the NIMS Winter School on Algebraic Geometry.

  • This is my lecture on The enumerative geometry of the moduli space of curves given at the Berlin Mathematical School Days in February 2008. I gave the same talk at the Jahrestagung der Deutschen Mathematiker-Vereinigung 2008 in Erlangen.

  • In August 2006 I taught a short course on moduli of curves in Cologne as part of a summer school on "Moduli Spaces and Arcs" organized by S. Kebekus. These are my notes in djvu format:
    First lecture, Second lecture, Third lecture

  • In July 2005 as part of the Warm Up week for the AMS Summer Institute in Algebraic Geometry in Seattle, I lead a workshop for graduate students on Degeneration Methods in Algebraic Geometry. You can also find notes for my talk about Syzygies of varieties and Mark Green's Conjecture given during the workshop.