Postdoctoral Associate
Department of Mathematics
MIT
Office: 4-182
Email: dspivak--math/mit/edu
Curriculum
Vitae.
Current research projects
Technical Proposal: "Categorical information theory". This is a
proposal for ONR grant N000141010841.
It summarizes my overarching research goals while at MIT.
Categorical
informatics.
What is the underlying mathematical structure of information itself?
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
in cobordism.
Mapping spaces in quasi-categories. Joint work with Dan Dugger.
High-energy physics. A paper I coauthored with
Puneet
Batra and
Bogdan Dobrescu
Other stuff
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.
Links
The Google.
The wiki.
MathSciNet.
arXiv.
Category theory
reprints.
Dan Dugger's page.
Jacob Lurie's page.
John Baez's blog.
MIT Math department.
MIT Library.
MIT.
foaf.rdf
This
work by David I. Spivak is licensed under a
Creative Commons
Attribution-Share Alike 3.0 Unported License.