Daniel RamrasAssistant Professor, Department of Mathematical Sciences
Ph.D. - Stanford University, 2007
B.A. in Mathematics, Cornell University, 2002
My research focuses on the geometry and topology of representation spaces, using techniques from algebraic topology, K-theory, algebraic geometry, and differential geometry. I'm also interested in large-scale geometry and its applications to assembly maps in algebraic K-theory.
Publications & Professional Activities
- (with Mentor Stafa) Hilbert-Poincare series of nilpotent representations in Lie groups. Submitted.
- (with Lisa Jeffrey and Jonathan Weitsman) The prequantum line bundle on the moduli space of flat SU(N) connections on a Riemann surface and the homotopy of the large N limit. Lett. Math. Phys. 107 (2017), no. 9, 1581-1589.
- (with Carlos Florentino and Sean Lawton) Homotopy groups of free group character varieties. Ann. Sc. Norm. Super. Pisa Cl. Sci. 17(1) (2017), 143-185.
- (with Romain Tessera and Guoliang Yu) Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory. J. Reine Angew. Math. (Crelle's Journal) 694 (2014), 129--178.
- The stable moduli space of flat connections over a surface. Trans. Amer. Math. Soc. 363 (2011), no. 1, 1061-1100.
Honors, Awards and Grants
- Simons Collaboration Grant, 2013-2018
- Bernie Morrel Teaching Award, 2015