notes and talks
My dissertation. (arxiv)
hypergraphs and combinatorial topology" with Jim
Conant. Topology and its Applications. Vol. 157, Issue 16: p.
Slides from a talk I gave on "Boolean formulae, hypergraphs and
combinatorial topology" (pdf)
How to graph sine (pdf)
Notes on fibre bundles (pdf)
Notes on Clifford algebras and Spinc structures (pdf)
Sokoban Java Game. Programmed with Joseph "Sokoban"
Please tell me if
you find any errors in the above.
If I were a Springer-Verlag
Graduate Text in Mathematics, I would be Joe Harris's Algebraic
Geometry: A First Course.
I am intended to introduce
students to algebraic geometry; to give them a sense of the basic
objects considered, the questions asked about them, and the sort
of answers one can expect to obtain. I thus emphasize the
classical roots of the subject. For readers interested in simply
seeing what the subject is about, I avoid the more technical
details better treated with the most recent methods. For readers
interested in pursuing the subject further, I will provide a basis
for understanding the developments of the last half century, which
have put the subject on a radically new footing. Based on lectures
given at Brown and Harvard Universities, I retain the informal
style of the lectures and stresses examples throughout; the theory
is developed as needed. My first part is concerned with
introducing basic varieties and constructions; I describe, for
example, affine and projective varieties, regular and rational
maps, and particular classes of varieties such as determinantal
varieties and algebraic groups. My second part discusses
attributes of varieties, including dimension, smoothness, tangent
spaces and cones, degree, and parameter and moduli spaces.