Christopher W.
Seaton

Associate Professor and E.C. Ellett Professor,

Department of Mathematics and Computer Science,

Rhodes College |
**Math 115-01: Applied Calculus**
MTWRF, 10 am to noon Barret 035 |
Available weekday afternoons by appointment. |

Math 115:
Applied Calculus Course Development Materials

Symplectic reduction at zero angular momentum

(with Joshua Cape and Hans-Christian Herbig; submitted)

Functional equations for orbifold wreath products

(with Carla Farsi; submitted)

On compositions with x^2/(1-x)

(with Hans-Christian Herbig and Daniel Herden; to appear in the Proceedings
of the American Mathematical Society)

When is a symplectic
quotient an orbifold?

(with Hans-Christian Herbig and Gerald Schwarz; to
appear in Advances
in Mathematics)

An impossibility theorem for linear symplectic circle quotients

(with Hans-Christian Herbig; to appear in Reports
on Mathematical Physics)

Stratifications
of inertia spaces of compact Lie group actions

(with Carla Farsi and Markus Pflaum; Journal of Singularities 13 (2015),
107—140)

Gauge-fixing
on the lattice via orbifolding

(with Dhagash Mehta, Noah S. Daleo, and Jonathan D. Hauenstein; Physical Review D 90 (2014), 054504)

Gamma-extensions
of the spectrum of an orbifold

(with Carla Farsi and Emily Proctor; Transactions
of the American Mathematical Society 366 (2014), 3881—3905)

The
Hilbert series of a linear symplectic circle quotient

(with Hans-Christian Herbig; Experimental
Mathematics 23 (2014), 46—65)

An orbit Cartan type decomposition of the inertia space of SO(2m)
acting on **R**^{2m}

(with John Wells, Involve:
a Journal of Mathematics 6 (2013), 345—368)

Extensions of the Euler-Satake characteristic for nonorientable
3-orbifolds and indistinguishable examples

(with Ryan Carroll, Involve:
a Journal of Mathematics 6 (2013), 467—482)

On orbifold
criteria for symplectic toric
quotients

(with Carla Farsi and Hans-Christian Herbig, Symmetry, Integrability, and Geometry 9 (2013), 032, 33 pages)

Extensions of the
Euler-Satake characteristic and point singularities
of orientable 3-orbifolds

(with Ryan Carroll; Kodai Mathematical Journal 36 (2013), 179—188)

Free
and free abelian Euler-Satake characteristics of nonorientable 2-orbifolds

(with John Schulte and Bradford Taylor; Topology and its
Applications 158 (2011), 2244—2255)

Algebraic
structures associated to orbifold wreath products

(with Carla Farsi; Journal of
K-Theory 8 (2011), 323—338)

Generalized orbifold Euler characteristics for general orbifolds and wreath products

(with Carla Farsi; Algebraic and
Geometric Topology 11 (2011), 523—551)

Classifying
closed 2-orbifolds with Euler characteristics

(with Whitney DuVal, John Schulte, and Bradford Taylor;
Glasgow
Mathematical Journal 52 (2010), no. 3, 555—574)

Generalized
twisted sectors of orbifolds

(with Carla Farsi; Pacific
Journal of Mathematics 246 (2010), no. 1, 49—74)

Nonvanishing vector fields on orbifolds

(with Carla Farsi; Transactions
of the American Mathematical Society 362 (2010), 509—535)

The index of a vector field
on an orbifold with boundary

(with Elliot Paquette; Involve:
a Journal of Mathematics 2 (2009), no. 2, 161—175)

Two
Gauss-Bonnet and Poincaré-Hopf theorems for orbifolds with boundary

(Differential
Geometry and its Applications 26 (2008), no. 1, 42—51)

Characteristic
classes of bad orbifold vector bundles

(Journal of
Geometry and Physics 57 (2007), no. 11, 2365—2371)

K-theory of crepant resolutions of complex orbifolds
with SU(2) singularities

(Rocky Mountain Journal of Mathematics
37 (2007), no. 5, 1705—171)

A
complete obstruction to the existence of nonvanishing
vector fields on almost-complex, closed cyclic orbifolds

January 6, 2015

Singular symplectic reduction and invariant theory

Joint work with Joshua Cape, Carla Farsi, Hans-Christian Herbig, Daniel Herden, and Gerald Schwarz

Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo. São Carlos, Brazil

Differentiable
stratified groupoids

Joint work with Carla
Farsi and Markus Pflaum

University of
Colorado at Boulder Groupoids Seminar

August 11, 2014

Orbifold
and non-orbifold symplectic
quotients

Joint work with Carla
Farsi, Hans-Christian Herbig, Daniel Herden, and Gerald Schwarz

Topology of Torus Actions
and Applications to Geometry and Combinatorics

Daejeon Convention Center, Daejeon, Korea

Geometry of symplectic quotients via invariant theory II

Joint work with Carla Farsi, Hans-Christian Herbig, Daniel Herden, and Gerald Schwarz

Commutative Algebra Seminar, University of Nebraska at Lincoln, Lincoln NE

The inertia
space of a proper Lie groupoid as a stratified
differentiable space

Joint work with
Carla Farsi and Markus Pflaum

Fall Central
Sectional Meeting of the AMS,

Washington University, St. Louis, MO

The inertia
space associated to a proper Lie group action as a stratified space

Joint work with
Carla Farsi and Markus Pflaum

Spring Western
Sectional Meeting of the AMS,

University of Colorado at Boulder, Boulder, CO

A stratification of the orbit
space of a *G*-manifold for a compact Lie group *G*

Joint work with Carla Farsi and
Markus Pflaum

Centre for Quantum Geometry and
Moduli Spaces,

Aarhus University, Aarhus Denmark

An
explicit stratification of the inertia space for a
connected, compact Lie group action

Joint
work with Carla Farsi and Markus Pflaum

On
orbifold criteria for Hamiltonian toric
quotients

Joint
work with Carla Farsi and Hans-Christian Herbig

Workshop
on Recent developments on Orbifolds