Oliver Thistlethwaite
Department of Mathematics

University of California, Riverside
oliver at math dot ucr dot edu

Hi. I am currently a 5th 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 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.

Which Springer GTM would you be? The Springer GTM Test