Keefe San Agustin

Ph.D student, Mathematics


Office:

116 Goldsmith
Department of Mathematics
Brandeis University
415 South Street, MS 050
Waltham, MA 02454
Email address: syzygy@br-.edu

Teaching, Fall 2007

MATH 10a Techniques of Calculus log-on required


Research Interests

Algebra, Geometry and Topology.

More specific interests at this very moment include configuration spaces, operads, dessins d'enfants, homotopy theory and braid groups.


A seminar I am organizing

Grothendieck's theory of Dessins d'Enfants

Links to (math) articles I'm reading, have read or want to read

On the Fundamental Group of the Complement of a Complex Hyperplane Arrangement L. Paris and Configuration Spaces by Sam Gitler. Short and excellent introductions

The homology of the little disks operad and A pairing between graphs and trees A great one-two punch by Dev Sinha

On a universal mapping class group of genus zero, Grothendieck's Reconstruction Principle and 2-dimensional Topology and Geometry, Teichmuller spaces, triangle groups and Grothendieck dessins , Braid groups and Galois Theory (Grothendieck-Teichmuler Theory) and The Grothendieck-Teichmuller group and automorphisms of braid groups An initial fleshing out of one of the programs sketched in l'Esquisse

From Operads to `Physically' Inspired Theories, Point Configurations and Coxeter Operads, and Braids, trees, and operads

On braid groups and homotopy groups and Representations of the braid group B3 and of SL(2,Z)

Cyclic Homology Theory Jean-Louis Loday and Deformations of algebras over operads and Deligne's conjecture Kontsevich and Soibelman 100% incomprehensible. Why is this here?

Duality in Khovanov Homology, On combinatorial link Floer homology and Following Lin: Expansions for Groups Hand-outs of talks I recently attended

All what I wanted to know about Langlands program and was afraid to ask and Generalised Monstrous Moonshine and Genus Two Conformal Field Theory


Conferences

Braids National University of Singapore International Conference on Quantum Topology Institute of Mathematics, VAST, Hanoi Teichmuller Theory and Kleinian Groups MSRI, Berkeley

Connections For Women: Geometric Group Theory MSRI Midwest Number Theory Conference for Graduate Students V University of Wisconsin

Algebraic and Geometric Topology: a conference in honor of the retirement of Bob Stong (Charlottesville, Virginia) Nov 10-11, 2007

Maxwell Institute Colloquium on Khovanov Homology (Edinburgh) 16 November, 2007 New Topological Contexts for Galois Theory and Algebraic Geometry March 9-14, Banff

New Paths Towards Quantum Gravity, Summer School May 12-16, 2008, Roskilde University Homotopical Group Theory and Topological Algebraic Geometry WORKSHOP June 16-20, 2008,

Copenhagen Homotopical Group Theory and Topological Algebraic Geometry: conference 23-27 June 2008, MPI, Bonn

Workshop on Algebraic Structures in Geometry and Physics 21-25 July 2008, Leicester Geometry and Physics May-Aug 2008, Hausdorff Research Institute for Mathematics


Course Notes

Homotopy Course Notes, A Bestiary of Topological Objects, and Homology and Manifolds all by N.P. Strickland You can't afford not to read these

Fibre Bundles by Burt Totaro and 2nd semester Algebraic Topology and Cup products and intersections by M. Hutchings Ditto

An introduction to affine Kac-Moody algebras Workshop notes Lie groups and Lie algebras A year-long course by Reshetikhin, Serganova and Borcherds

Simplicial Objects and Homotopy Groups a book by Jie Wu and Categorical Aspects of Topological Quantum Field Theories a thesis by BB

The Birth of Homological Algebra and Stable algebraic topology 1945-1966 some history by Peter's Hilton and May


Music