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Derek Krepski

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Derek Krepski
Associate Professor - On sabbatical until July 1, 2022
(204)-474-9877
Derek.Krepski@umanitoba.ca
https://server.math.umanitoba.ca/~dkrepski/home.html

Research and Teaching Interests

Symplectic geometry, algebraic topology, quantization, Lie groupoids, stacks

Current graduate student

  • Dinamo Djounvouna (Ph.D.)

Select publications

  • Krepski, Derek (2018). Basic equivariant gerbes on non-simply connected compact simple Lie groups.J. Geom. Phys. 133, 30–41.
  • Krepski, Derek (2018). Groupoid equivariant prequantization. Comm. Math. Phys. 360 (1), 169–195.
  • Krepski, Derek and Watts, Jordan (2018). Differential cocycles and Dixmier-Douady bundles. J. Geom. Phys. 130, 168–183.
  • Goldin, Rebecca; Harada, Megumi; Johannsen, David and Krepski, Derek (2016). Inertia groups of a toric Deligne-Mumford stack, fakeweighted projective stacks, and labeled sheared simplices. Rocky Mountain J. Math. 46 (2), 481–517.
  • Harada, Megumi and Krepski, Derek (2015). Global quotients among toric Deligne-Mumford stacks.Osaka J. Math. 52 (1), 237–269.
  • Krepski, Derek (2014). Prequantization of the moduli space of flat PU(p)-bundles with prescribed boundary holonomies. SIGMA Symmetry Integrability Geom. Methods Appl. 10, Paper 109, 13.
  • Krepski, Derek (2013). Central extensions of loop groups and obstruction to pre-quantization. Canad. Math. Bull. 56 (1), 116–126.
  • Krepski, Derek and Meinrenken, Eckhard (2013). On the Verlinde formulas for SO(3)-bundles. Q. J. Math. 64 (1), 235–252.
  • Krepski, Derek (2009). Pre-quantization of the moduli space of flat G-bundles. ProQuest LLC, Ann Arbor, MI.
  • Krepski, Derek (2008). Pre-quantization of the moduli space of flat G-bundles over a surface. J. Geom. Phys. 58 (11), 1624–1637.

Courses taught

  • MATH 4240 A01
  • MATH 7240 A01

Links

https://server.math.umanitoba.ca/~dkrepski/home.html

Contact & Social Media
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