Research Interests

Differential and Symplectic Geometry, Mathematical Physics

I am interested in the interaction between geometry and physics. In particular, I study mathematical questions related to quantum mechanics. These questions, and my research, are tied to a variety of fields: symplectic geometry, Lie groups, and functional analysis, to name a few.

Selected Publications

• Kirwin (w/ Brian Hall), Unitarity in "quantization commutes with reduction", submitted,
  (preprint) math.SG/0610005
• Kirwin, Coherent States in Geometric Quantization, J. Geom. Phys. 57 (2007), no. 2, pages 531 - 548
• Kirwin and Siye Wu, Geometric Quantization, Parallel Transport and the Fourier Transform,
  Comm. Math. Phys. 266 (2006), no. 3, pages 577 - 594