**Oliver ThistlethwaiteDepartment of
Mathematics**

Hi. I am currently a 5^{th}
year mathematics graduate student at the University of California,
Riverside. My advisor is Stefano
Vidussi.

**Academic
interests**

Low dimensional topology
(Seiberg-Witten theory)

Theoretical computer
science (computational complexity theory)

Articles,
notes and talks

"Boolean formulae,
hypergraphs and combinatorial topology" with Jim
Conant. Topology and its Applications. Vol. 157, Issue 16: p.
2449-2461. (pdf)

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 (pdf)

Notes on Alexander polynomials for 3-manifolds (pdf)

Sokoban Java Game. Programmed with Joseph "Sokoban"
Vannucci. (zip)

Please tell me if
you find any errors in the above.**Curriculum Vitae **(pdf)

If I were a Springer-Verlag
Graduate Text in Mathematics, I would be Joe Harris's 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. Which Springer GTM would |