Derek Krepski

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Name: Derek Krepski

Position Title: Associate Professor - On sabbatical until July 1, 2022

Office Phone Number: (204)-474-9877

Research and Teaching Interests

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.