Department of Mathematics
Current research projects
Technical Proposal: "Categorical informatics". This is a
proposal for ONR grant N000141310260.
It summarizes my overarching research goals for the years 2013 -- 2015.
What is the underlying mathematical structure of information itself?
Category theory for scientists
Book. Current version of "Category
theory for scientists."
Google doc. Record suggestions, comments, typos, etc. here.
Course (Spring 2013). Course
Past research subjects
Derived manifolds. The
category of derived manifolds contains arbitrary intersections of
manifolds, even if they are not transverse, while retaining enough
structure so that every compact derived manifold has a fundamental class
Mapping spaces in
quasi-categories. Joint work with Dan Dugger.
High-energy physics. A
paper I coauthored with
Miscellaneous files Includes
some papers of mine and others (some brief or unfit for publication, but
possibly of interest), a program for doing calculations in a group-ring,
some LaTeX guides I use, and other random stuff.
Dan Dugger's page.
Jacob Lurie's page
John Baez's blog
MIT Math department.
work by David I. Spivak is licensed under a
Attribution-Share Alike 3.0 Unported License.