Christopher W. Seaton


brazil_me                 

 

 

Associate Professor and E.C. Ellett Professor,

Department of Mathematics and Computer Science,

 

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Contact:

Teaching (Fall, 2016):

Office Hours (Fall, 2016):

Office:

Ohlendorf 320

 

Math 115-02: Applied Calculus

MWF,   3:00—3:50,   Barret 033

syllabus         (course materials on Moodle)

E-mail:

seatonc-at-rhodes-dot-edu

Monday:      1:00—1:50
Tuesday:      11:00—12:15
Wednesday: 11:00—11:50
Thursday:     10:30—11:20

Phone:

901-843-3721

 

Math 223-01: Calculus III

TR,   2:00—3:15,

W,    2:00—2:50,   Ohlendorf 225

syllabus         homework schedule

Snail Mail:

Math & Computer Science

Rhodes College

2000 N. Parkway

Memphis, TN 38112, USA

Math 451-01: Research in Mathematics    syllabus

Math 485-01: Senior Seminar                     syllabus

TR    3:30—4:45     Ohlendorf 225          seminar schedule

Math DI: Symplectic Geometry                 syllabus

W  12:00—12:50     Ohlendorf 320         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.

 
 
Click here for a more complete schedule.
 
 
C. V.

 



Math 115: Applied Calculus Course Development Materials

 

Some Slides from Groupoidfest 2015 (Special Session on The Analysis, Topology, and Geometry of Groupoids, Fall Southeastern Sectional Meeting of the AMS)


 
Publications and Preprints:
(click here for some supplemental materials)

An algebra generated by x-2

(with Hans-Christian Herbig and Daniel Herden; submitted)

 

Differentiable stratified groupoids and a de Rham theorem for inertia spaces
(with Carla Farsi and Markus Pflaum; submitted)

 

Functional equations for orbifold wreath products
(with Carla Farsi; submitted)

 

Symplectic reduction at zero angular momentum

(with Joshua Cape and Hans-Christian Herbig; Journal of Geometric Mechanics 8 (2016), 13—34)


On compositions with x^2/(1-x)
(with Hans-Christian Herbig and Daniel Herden; Proceedings of the American Mathematical Society 143 (2015), 4583—4596)

When is a symplectic quotient an orbifold?
(with Hans-Christian Herbig and Gerald Schwarz; Advances in Mathematics 280 (2015), 208—224)

 

An impossibility theorem for linear symplectic circle quotients
(with Hans-Christian 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)

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 R2m
(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

 

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Recent/Upcoming Presentations/Workshops:

July 11—15, 2016

Working with Hans-Christian 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, Hans-Christian Herbig, Daniel Herden, Ethan Lawler, and Gerald Schwarz

Poisson Geometry Seminar

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, Hans-Christian 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



January 11—12, 2016
Minicursos Avançados (advanced minicourse): Computational methods in the study of symplectic quotients
Four 90-minute lectures (with Hans-Christian Herbig)
Instituto de Matemática, Universidade Federal do Rio de Janerio, Brazil.

Click Here for the slides.

 

November 14—15, 2015

Coefficients of the Laurent expansion of the Hilbert series of Gorenstein rings

Joint work with Hans-Christian Herbig and Daniel Herden

4th 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, Hans-Christian 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, Hans-Christian Herbig, Daniel Herden, and Gerald Schwarz

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

 

November 14, 2014

Differentiable stratified groupoids

Joint work with Carla Farsi and Markus Pflaum

University of Colorado at Boulder Groupoids Seminar

Boulder, Colorado

 

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

 

March 13, 2014

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

 

October 19, 2013

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

 

April 14, 2013

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

 

September 12, 2012

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

 

January 21—22, 2012

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

Joint work with Carla Farsi and Markus Pflaum

Groupoidfest 2011,

University of Nevada, Reno

Reno, NV

 

July 28, 2011

On orbifold criteria for Hamiltonian toric quotients

Joint work with Carla Farsi and Hans-Christian Herbig

Workshop on Recent developments on Orbifolds

Chern Institute of Mathematics

Tianjin, China