Ryan Grady, Ph.D - Ryan Grady, Ph.D | Montana State University

Ryan Grady

Education

Ph.D. (2012) and M.S. (2009) University of Notre Dame
B.S. (2007) Colorado School of Mines

Research Interests

My research program is (broadly) to study the geometry and topology of manifolds through techniques of quantum field theory (QFT) in a mathematically rigorous setting. In addition, I study some fundamental connections between QFT, derived geometry, and higher Lie theory.

Publications

Natural Stratifications of Reeb Spaces and Higher Morse Functions

(w. Anna Schenfisch) arXiv

Quantizing Derived Mapping Stacks

Int. J. Modern Physics A (2020)

A glimpse of arithmetic dynamics

(w. Mark Poston) arXiv

Homotopy RG flow and the non-linear sigma model

(w. Brian Williams) Contemporary Mathematics (2018)

Lie algebroids as L-infinity spaces

(w. Owen Gwilliam). J. Inst. Math. Jussieu 19 (2020)

Parametrized L-infinity spaces

ArXiv: 1603.06930

BV quantization and the algebraic index

(w. Qin Li and Si Li). Advances in Mathematics 317 (2017), 575-639

L-infinity spaces and derived loop spaces

(w. Owen Gwilliam). New York Journal of Mathematics (2015)

The A-genus as a projective volume form on the derived loop space

Mathematical Physics, Analysis, and Geometry (2018)

One-dimensional Chern-Simons theory and the A-genus

(w. Owen Gwilliam). Algebraic and Geometric Topology (2014)

Coverings, Laplacians, and heat kernels of directed graphs

(w. Clara Brasseur and Stratos Prassidis). Electronic J. Combinatorics (2009)

Kazhdan's property (T) for graphs

(w. Clara Brasseur and Stratos Prassidis). ArXiv: math/0607351