Daniel Ramras Ph.D.
Assistant Professor, Mathematical Sciences
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.
(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.