Christopher W.
Seaton
Associate Professor and E.C. Ellett Professor,
Department of Mathematics and Computer Science,
Contact: 
Teaching (Spring, 2016): 
Office Hours (Spring, 2016): 

Office: 
Ohlendorf 320 

Email: 
seatoncatrhodesdotedu 
Math 22301:
Calculus III TR, 2:00—3:15, Ohlendorf 225 W, 2:00—2:50, Kennedy 207 
Monday: 2:30—3:30 Tuesday: 12:00—1:00 Wednesday: 1:00—1:50 Thursday: 11:15—12:15 
Phone: 
9018433721 
Math 38601: Junior Seminar syllabus Math 48601:
Senior Seminar
syllabus TR 3:30—4:45 Ohlendorf 225 seminar schedule 

Snail Mail: 
Math & Computer Science Rhodes College 2000 N. Parkway Memphis, TN 38112, USA 
Math DI:
Advanced Algebra and Invariants Math DI: Geometry
and Topology of Manifolds Math DI: Matrix
Groups 
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. 
Math 115:
Applied Calculus Course Development Materials
Differentiable stratified groupoids and
a de Rham theorem for inertia spaces
(with Carla Farsi and Markus Pflaum; to be submitted)
Functional equations for orbifold wreath products
(with Carla Farsi; submitted)
Symplectic reduction at zero angular momentum
(with Joshua Cape and HansChristian Herbig; to appear in the Journal of Geometric Mechanics)
On compositions with x^2/(1x)
(with HansChristian Herbig and Daniel Herden; to appear in the Proceedings
of the American Mathematical Society)
When is a symplectic
quotient an orbifold?
(with HansChristian Herbig and Gerald Schwarz; to
appear in Advances
in Mathematics)
An impossibility theorem for linear symplectic circle quotients
(with HansChristian 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)
Gaugefixing
on the lattice via orbifolding
(with Dhagash Mehta, Noah S. Daleo, and Jonathan D. Hauenstein; Physical Review D 90 (2014), 054504)
Gammaextensions
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 HansChristian 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 EulerSatake characteristic for nonorientable
3orbifolds 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 HansChristian Herbig, Symmetry, Integrability, and Geometry 9 (2013), 032, 33 pages)
Extensions of the
EulerSatake characteristic and point singularities
of orientable 3orbifolds
(with Ryan Carroll; Kodai Mathematical Journal 36 (2013), 179—188)
Free
and free abelian EulerSatake characteristics of nonorientable 2orbifolds
(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
KTheory 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 2orbifolds 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
GaussBonnet and PoincaréHopf 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)
Ktheory 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 almostcomplex, closed cyclic orbifolds
July 11—15, 2016
Working with HansChristian Herbig and Daniel Herden at ICERM for our
Collaborate@ICERM proposal "Hilbert series of symplectic torus quotients"
Providence, Rhode Island
March 5—6, 2016
The ring of regular functions on a linear symplectic quotient
Joint work with Joshua Cape, HansChristian Herbig, Daniel Herden, and Gerald Schwarz
Special Session on Symplectic and Contact Geometry, Spring Southeastern Sectional Meeting of the AMS
University of Georgia, Athens, Georgia
Coefficients
of the Laurent expansion of the Hilbert series of Gorenstein
rings
Joint
work with HansChristian Herbig and Daniel Herden
4^{th}
Annual Mississippi Discrete Mathematics Workshop
University of Mississippi, Oxford, Mississippi
July 10, 2015
Hilbert series of regular functions on singular symplectic quotients
Joint work with Joshua Cape, Emily Cowie, Carla Farsi, HansChristian Herbig, Daniel Herden, and Gerald Schwarz
Baylor University, Waco, Texas
July 20—24, 2015
Participant in the REUF Workshop at ICERM
Providence, Rhode Island
January 6, 2015
Singular symplectic reduction and invariant theory
Joint work with Joshua Cape, Carla Farsi, HansChristian 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 nonorbifold symplectic
quotients
Joint work with Carla
Farsi, HansChristian 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, HansChristian 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 Gmanifold 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 HansChristian Herbig
Workshop
on Recent developments on Orbifolds