Daniel Ramras Ph.D.

Assistant Professor, Mathematical Sciences

Current Research

My current research has two main directions.  I am interested in applications of large-scale geometry to problems in algebraic K-theory, furthering my work with Tessera and Yu.   I am also interested in the geometry and topology of representation spaces.

Select Publications

(With Romain Tessera and Guoliang Yu) Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory. To appear in J. Reine Angew. Math. (Crelle's Journal).

The stable moduli space of flat connections over a surface. Trans. Amer. Math. Soc. 363 (2011), no. 1, 1061-1100.

On the Yang-Mills stratification for surfaces.  Proc. Amer. Math. Soc. 139 (2011), no. 5., 1851-1863.