nLab Chris Rogers

I’m an assistant professor of mathematics at the University of Nevada, Reno.

My research lies on the interface between algebraic topology, geometry, and mathematical physics. I am particularly interested in the role that homotopy theoretic and higher categorical structures play in quantization.

My Ph.D thesis was on higher symplectic geometry, and was supervised by John Baez.

More information (current research projects, publications, etc.) can be found here.

Selected writings

On higher geometric quantization:

• Chris Rogers, Higher symplectic geometry PhD thesis (2011) (arXiv:1106.4068)

• Chris Rogers, Higher geometric quantization, at Higher Structures 2011 [pdf]

On graph complexes and the Lie algebra of the Grothendieck-Teichmüller group:

• Vasily Dolgushev, Christopher Rogers, Notes on Algebraic Operads, Graph Complexes, and Willwacher’s Construction, In: Mathematical aspects of quantization 583 (2012): 25-145. (arXiv:1202.2937)

On a category of fibrant objects-structure for L-infinity algebras:

• Christopher L. Rogers, An explicit model for the homotopy theory of finite type Lie $n$-algebras, Algebr. Geom. Topol. 20 (2020) 1371-1429 (arXiv:1809.05999, doi:10.2140/agt.2020.20.1371)

On Lie integration of L-infinity algebras to smooth infinity-groups (Lie's third theorem in higher Lie theory):

• Christopher L. Rogers, Jesse Wolfson: Lie’s Third Theorem for Lie $\infty$-Algebras [arXiv:2409.08957]