Casey Blacker


Casey Blacker at Peterhof Palace, Saint Petersburg.

I am a Postdoctoral Research Fellow at George Mason University. Previously, I was an EIMI International Postdoc at Saint Petersburg State University. Prior to that, I was a China Postdoctoral Science Foundation (CPSF) International Exchange Postdoc at the East China Normal University in Shanghai. I received my PhD from UC Santa Barbara in 2018 under the supervision of Xianzhe Dai.

My interests include moment maps, Lie groupoids, bundle gerbes, and quantization. More recently, I have become interested in higher geometry, including (higher) stacks and gerbes.


Publications

  1. Reduction of L∞-algebras of observables on multisymplectic manifolds (with Antonio Miti and Leonid Ryvkin), SIGMA, 2024,
    https://doi.org/10.3842/SIGMA.2024.061p
  2. Reduction of multisymplectic manifolds, Lett. Math. Phys., 2021,
    https://doi.org/10.1007/s11005-021-01408-y
  3. Quantization of polysymplectic manifolds, J. Geom. Phys., 2019,
    https://doi.org/10.1016/j.geomphys.2019.103480
  4. Polysymplectic reduction and the moduli space of flat connections, J. Phys. A, 2019,
    https://doi.org/10.1088/1751-8121/ab2eed
  5. First eigenvalue of the p-Lapacian on Kähler manifolds (with Shoo Seto), Proc. Amer. Math. Soc., 2019, https://doi.org/10.1090/proc/14395
  6. The Moduli Space of Flat Connections over Higher Dimensional Manifolds (PhD Thesis), 2018, https://escholarship.org/uc/item/0535z0rb

Events Organized

  • Multisymplectic Structures in Geometry and Physics 2024
  • Young Researchers' Virtual Multisymplectic Geometry Conference 2021
  • Young Researchers' Virtual Multisymplectic Geometry Conference 2020

String Theory Seminar

The String Theory Learning Seminar webpage can be found here.


Selected Notes and Slides

Curvature and holonomy on double Lie groupoids (download)



Quantum computing (download)



Simplicial sets (download)



Quantization of polysymplectic manifolds (download)



Reduction of multisymplectic manifolds (download)


Student Research

  1. Logarithmic spirals on surfaces of constant Gaussian curvature (with Pavel Tsyganenko), Involve, 2024, https://doi.org/10.2140/involve.2024.17.689