David Spivak

Research scientist
Department of Mathematics

Email: dspivak--math/mit/edu

My research:

Derived Smooth 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. This work was published in Duke Mathematical Journal, May 2010.

PhD dissertation. The above is a reworking of my PhD dissertation (from UC Berkeley, 2007). It is more linearly ordered, detailed, and abstruse than the Duke version.

Slides. Here is a slide talk I gave on the subject in Vancouver, BC.

Some related research:

Dominic Joyce Algebraic Geometry over C-infinity rings.

D. Borisov and J. Noel Simplicial approach to derived differential manifolds.

Jacob Lurie Derived algebraic Geometry V.

Creative Commons License
This work by David I. Spivak is licensed under a Creative Commons Attribution-Share Alike 3.0 Unported License.