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derekkrepski
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
Email:
Derek.Krepski@umanitoba.ca
Website:
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.)
Courses taught
MATH 4240 A01
MATH 7240 A01
Links
https://server.math.umanitoba.ca/~dkrepski/home.html
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
P
U
(
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
S
O
(
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.
Contact & Social Media
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A GIFT
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
P
U
(
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
S
O
(
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.