My research interests include
symplectic and Poisson geometry, algebraic topology, geometric quantization, Lie groupoids and differentiable stacks, gerbes, and higher structures in differential geometry.
publications and preprints
Sheaves, principal bundles, and Čech cohomology for diffeological spaces, with J. Watts and S. Wolbert, 25 pages.
Prequantization of the moduli space of flat PU(p) bundles with prescribed boundary holonomies, Symmetry, Integrability and Geometry: Methods and Applications (Special issue on Poisson Geometry in Mathematics and Physics), 10 (2014), 109, 13 pages.
Inertia groups of a toric DM stack, fake weighted projective stacks, and labelled sheared simplices, with R. Goldin, M. Harada, D. Johannsen. Rocky Mountain Journal of Mathematics, 46, no. 2 (2016), pp. 481-517.
Global quotients among smooth toric DM stacks, with M. Harada. Osaka Journal of Mathematics, 52, no. 1 (2014), pp. 236-269.
On the Verlinde formulas for SO(3), with E. Meinrenken. Quarterly Journal of Mathematics, 64, no. 1 (2013), pp. 235-252.
Quantization of the moduli space of flat G-bundles using G-valued moment maps, Oberwolfach Reports, 9 (2011), pp. 469-470.
Central extensions of loop groups and obstruction to prequantization, Canadian Mathematical Bulletin, 56 (2013), pp. 116-126.
Prequantization of the moduli space of flat G-bundles over a surface, Journal of Geometry and Physics, 58, no. 11 (2008), pp. 1624-1637.
Pre-quantization of the moduli space of flat G-bundles.(pdf file)
Ph. D. Thesis supervised by Eckhard Meinenken and Paul
Selick, University of