Lehrveranstaltungen an der Humboldt Universität zu Berlin

Wintersemester 2017-18: Algebra und Funktionentheorie

Sommersemester 2017: Lineare Algebra und Analytische Geometrie II

Wintersemester 2016-17: Lineare Algebra und Analytische Geometrie I

Sommersemester 2016: Algebraic Geometry

Sommersemester 2015: Lineare Algebra und Analytische Geometrie II

Sommersemester 2014: Algebraic Geometry

Wintersemester 2013-14: Algebra und Funktionentheorie

Wintersemester 2013-14: Blockseminar Topology and Geometry of Configuration Spaces

Sommersemester 2013: Lineare Algebra und Analytische Geometrie II

Wintersemester 2012-13: Lineare Algebra und Analytische Geometrie I

Sommersemester 2012: Algebra und Zahlentheorie

Sommersemester 2011: Ausgewählte Themen der Algebra

Wintersemester 2010-11: Algebra II

Sommersemester 2010: Algebraische Geometrie II

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, lectures and videos

  • Five talks on moduli of curves given at the Simons Center in Stony Brook in July 2014 in the Graduate workshop on moduli of curves

  • Video of my talk given at the Hausodrff Center in Bonn in March 2014 on Moduli spaces of odd theta characteristics

  • Video of my talk given in Banff in August 2013 on The universal theta divisor over the moduli space of curves

  • Video of my talk given at MSRI in February 2013 on Szyzgies of torsion bundles and the level l modular variety

  • Video of my talk given at Harvard in August 2011 on Models of the Prym moduli space via special K3 surfaces

  • This is my talk on my joint work with M. Aprodu on Green's Conjecture. The talk was given in October 2010 in Kinosaki, at the annual meeting of Japanese algebraic geometers

  • Notes of my talk on Explicit geometry of moduli spaces of spin curves given in September 2010 in Levico Terme, at the conference on the occasion of the 60th birthday of F. Catanese, C. Ciliberto and A. Verra.

  • In September 2009, I gave a series of lectures in Seoul on the Moduli spaces of curves with level structure. These are videos of the 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. A video of my talk is to be found here .