Christopher W.
Seaton

Associate Professor and E.C. Ellett Professor,

Department of Mathematics and Computer Science,

Rhodes College |
**Math 261-01: Linear Algebra**
TR 3:30 pm—4:45 pm, **Math 370-01: Complex Variables**
TR 2:00 pm—3:15 pm, |
Students are welcome to make appointments at other times. My quantity of regularly scheduled office hours is by no means representative of the amount of time I expect to work with students outside of the classroom. |

*Click here to find a
more complete schedule.*

Math 115:
Applied Calculus Course Development Materials

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)

(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**^{2}^{m}

(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

(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

(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