Emmanuel ALLAUD's Web Page
Where you can find me: LCB 112.
Teaching
Summer 2005:
- Math 3150, please click here.
Spring 2005:
- Math 1090, please click here.
Fall 2004:
- Math 2270, please click here.
- Math 1090, please click here.
Summer 2004 : Math 3150; please click here.
Spring 2004: 1090 (College algebra).
Fall 2003: 1220 (Calculus II).
Research
My primary field is Hodge theory, more precisely Variations of Hodge
structure and Griffiths' Transversality. I also have a foot in
differential geometry and geometric PDEs (Cartan-Kaehler theory, moving
frames).
My primary focus is to try to determine conditions (beyond Griffiths's
transversality) on the Variations of Hodge Structures. This work relies
heavily on Infinitesimal Variations of Hodge Structures and their
properties (both in geometric context, or just as integral elements of
the transversality differential exterior system).
In connection with my interest for PDEs I began to look at generalized
functions. I will add here more relevant links, but you can already
look at this thesis by V. Dévoué (University of
Frenc West Indies) which gives a nice introduction to generalized
functions in the context of PDEs solving for irregular initial
conditions or characteristic problems.
V.
Dévoué PhD thesis
Papers
- Here is my thesis (in
French) in postscript
defended in October 2002, Toulouse, France.
- Non-genericity of
Variations of
Hodge structure for hypersurfaces of high degree,
accepted for
publication in the Duke Mathematical Journal.
- Non-genericity of Infinitesimal Variations
of
Hodge structure for hypersurfaces arising in some geometric contexts,
with Javier Fernandez, submitted for publication.
Conferences, seminars
List of given talks:
- Non-genericity of
Variations of
Hodge structure, Algebraic
geometry seminar Texas A&M,
College station, TX, Feb 18th 2005.
- Hodge Theory, Variations
of
Hodge Structure, Algebraic
geometry seminar, University of
Utah, Salt Lake City, UT, Nov 2005.
I attended the following conferences:
- Hodge Theory and log
geometry (JAMI), Johns Hopkins
University, MD, USA,
14-17 March 2005.
- Western Algebraic Geometry
Seminar, Colorado State University,
Fort-Collins, CO, USA,Fall 2004.
- Hodge Theory in a New
Century, Edinburgh, UK, 20-26 July 2003.