Christopher W.
Seaton
Associate Professor, E.C. Ellett Professor, Department Chair
Department of Mathematics and Computer Science,
Contact: 
Teaching (Spring, 2019): 
Office Hours (Spring, 2019): 

Office: 
Ohlendorf 320 
Math
26101: Linear Algebra TR, 2:00—3:15, Briggs 108 (other course materials on Moodle) 

Email: 
seatoncatrhodesdotedu 
Mon: 2—2:50, Wed: 12—12:50
Thurs: 10:30—11:30, Fri: 1—1:50


Phone: 
9018433721 


Snail Mail: 
Math & Computer Science Rhodes College 2000 N. Parkway Memphis, TN 38112, USA 
Math 38601:
Junior Seminar
syllabus Math 48601:
Senior Seminar
syllabus TR, 3:30—4:45, Ohlendorf 225 seminar schedule 
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. 
Hilbert series associated to symplectic quotients by SU_{2}
(with HansChristian Herbig and Daniel Herden)
Symplectic quotients have symplectic singularities
(with HansChristian Herbig and Gerald Schwarz)
Limits of orbifold 0spectra under collapsing
(with Carla Farsi and Emily Proctor)
Differentiable stratified groupoids and
a de Rham theorem for inertia spaces
(with Carla Farsi and Markus Pflaum)
The Hilbert series of SL_{2}invariants
(with Pedro de Carvalho Cayres Pinto, HansChristian Herbig, and Daniel Herden, to appear in Communications in Contemporary Mathematics)
The Laurent coefficients of the Hilbert series of a Gorenstein algebra
(with HansChristian Herbig and Daniel Herden, to appear in Experimental Mathematics)
The Hilbert series and ainvariant of circle invariants
(with L. Emily Cowie, HansChristian Herbig, and Daniel Herden; Journal of Pure and Applied Algebra 223 (2019), 395—421)
Functional equations for
orbifold wreath products
(with Carla Farsi; Journal of
Geometry and Physics 120 (2017), 37—51)
Symplectic reduction at zero angular momentum
(with Joshua Cape and HansChristian Herbig; Journal of Geometric Mechanics 8 (2016), 13—34)
On
compositions with x^2/(1x)
(with HansChristian Herbig and Daniel Herden; Proceedings
of the American Mathematical Society 143 (2015), 4583—4596)
When is a symplectic quotient an orbifold?
(with HansChristian Herbig and Gerald Schwarz; Advances in
Mathematics 280 (2015), 208—224)
An impossibility
theorem for linear symplectic circle quotients
(with HansChristian Herbig; Reports
on Mathematical Physics 75 (2015), 303—331)
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
September 28, 2018
Distinguishing between symplectic quotients by SU_{2} using invariant theory
Joint work with HansChristian Herbig, and Daniel Herden
University of Mississippi Graduate Student Seminar
Oxford, Mississippi
August 4, 2018
The Hilbert series and Laurent coefficients of SL_{2}(C)invariants
Joint work with Pedro de Carvalho Cayres Pinto, HansChristian Herbig, and Daniel Herden
International Congress of Mathematicians (ICM 2018)
Rio de Janeiro, Brazil
May 710, 2018
The klarge property for representations of complex reductive groups and implications for linear symplectic quotients
Joint work with HansChristian Herbig and Gerald Schwarz
International Conference on Mathematics and Statistics (ICOMAS 2018)
University of Memphis, Tennessee
April 1415, 2018
The Hilbert series of a reducible representation of SL_{2}(C) and its Laurent coefficients
Joint work with Pedro de Carvalho Cayres Pinto, HansChristian Herbig, and Daniel Herden
Special Session on Commutative Algebra
Spring Southeastern Sectional Meeting of the AMS
Vanderbilt University, Nashville, Tennessee
November 11, 2017
Counting SL_{2}(C)invariant polynomials
Joint work with Pedro de Carvalho Cayres Pinto, HansChristian Herbig, and Daniel Herden
37^{th} Annual Math Symposium at Western Kentucky University
Bowling Green, Kentucky
July 11, 2017
Complex symplectic quotients with symplectic singularities
Joint work with HansChristian Herbig and Gerald Schwarz
Instituto de Matemática Pura e Aplicada (IMPA)
Rio de Janeiro, Brazil
April 22, 2017
The spectrum of orbifold connected sums and collapsing
Joint work with Emily Proctor and Carla Farsi
Methods in Operator Theory and Applications
University of Memphis, Memphis, TN
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 15, 2016
Constructing symplectmorphisms between linear symplectic quotients
Joint work with Joshua Cape, Emily Cowie, Carla Farsi, HansChristian Herbig, Daniel Herden, Ethan Lawler, and Gerald Schwarz
University of Colorado at Boulder, Colorado
March 10—13, 2016
The inertia groupoid of a Lie groupoid,
Joint work with Carla Farsi and Markus Pflaum
Gone Fishing Poisson Geometry Conference
University of Colorado at Boulder, Colorado
March 5, 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