Christopher Seaton

Highlighting indicates student coauthors.

• The universal Euler characteristic and Burnside group for definable groupoids.
  (with Carla Farsi and Emily Proctor; submitted)
• A symmetric function approach to polynomial regression. (SharedIt link)
  (with Hans-Christian Herbig and Daniel Herden; Aequationes mathematicae 100 (2026) article 21)
• The partial derivative of ratios of Schur polynomials and applications to symplectic quotients.
  (with Hans-Christian Herbig, Daniel Herden, and Harper Kolehmainen; European Journal of Combinatorics 134 (2026), 104351)
• The symplectic form associated to a singular Poisson algebra
  (with Hans-Christian Herbig and William Osnayder Clavijo Esquivel; Reviews in Mathematical Physics 37 (2025) 2550003)
• Hilbert measures on orbit spaces of coregular O_m-modules.
  (with Hans-Christian Herbig and Lillian Whitesell; Journal of Geometry and Physics 213 (2025), 105473)
• Euler characteristics of linear symplectic quotients and O(2)-spaces.
  (with Carla Farsi and Hannah Meit; Journal of Singularities 28 (2025), 1–22)
• Isomorphisms of symplectic torus quotients.
  (with Hans-Christian Herbig and Gerald Schwarz; Journal of Symplectic Geometry 22 (2024), 1179–1213)
• When does the zero fiber of the moment map have rational singularities?
  (with Hans-Christian Herbig and Gerald Schwarz; Geometry & Topology 28-7 (2024), 3475–3510)
• Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank 1 Lie groups
  (with Austin Barringer, Hans-Christian Herbig, Daniel Herden, Saad Khalid, and Lawton Walker; Communications in Algebra 52 (2024) 1000–1027)
• Higher Koszul brackets on the cotangent complex
  (with Hans-Christian Herbig and Daniel Herden; International Mathematics Research Notices 2023, Issue 13 (2023) 11592–11644)
• Hilbert series of symplectic quotients by the 2-torus
  (with Hans-Christian Herbig and Daniel Herden; Collectanea Mathematica) 74 (2023) 415–442)
• Differentiable stratified groupoids and a de Rham theorem for inertia spaces
  (with Carla Farsi and Markus Pflaum; Journal of Geometry and Physics 187 (2023), 104806)
• Orbifold Euler characteristics of non-orbifold groupoids
  (with Carla Farsi; Journal of the London Mathematical Society) 106 (2022), 2342–2378)
• The spectra of digraphs with Morita equivalent C*-algebras
  (with Carla Farsi and Emily Proctor; Linear Algebra and its Applications 655 (2022), 28–64)
• Approximating orbifold spectra using collapsing connected sums
  (with Carla Farsi and Emily Proctor; Journal of Geometric Analysis 31 (2021), 9433–9468)
• The Laurent coefficients of the Hilbert series of a Gorenstein algebra
  (with Hans-Christian Herbig and Daniel Herden; Experimental Mathematics 30 (2021), 56–75)
• Constructing symplectomorphisms between symplectic torus quotients
  (with Hans-Christian Herbig and Ethan Lawler; Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 61 (2020), 581–604)
• Hilbert series associated to symplectic quotients by SU₂
  (with Hans-Christian Herbig and Daniel Herden; International Journal of Algebra and Computation 30 (2020), 1323–1357)
• The Hilbert series of SL₂-invariants
  (with Pedro de Carvalho Cayres Pinto, Hans-Christian Herbig, and Daniel Herden; Communications in Contemporary Mathematics 22 (2020) 1950017)
• Symplectic quotients have symplectic singularities
  (with Hans-Christian Herbig and Gerald Schwarz; Compositio Mathematica 156 (2020), 613–646)
• The Hilbert series and a-invariant of circle invariants
  (with L. Emily Cowie, Hans-Christian 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 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) 
• An impossibility theorem for linear symplectic circle quotients
  (with Hans-Christian Herbig; Reports on Mathematical Physics 75 (2015), 303–331)
• When is a symplectic quotient an orbifold?
  (with Hans-Christian Herbig and Gerald Schwarz; Advances in Mathematics 280 (2015), 208–224)
• 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)
• Algebraic structures associated to orbifold wreath products
  (with Carla Farsi; Journal of K-Theory 8 (2011), 323–338)
• 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)
• 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 Poincar -Hopf theorems for orbifolds with boundary
  (Differential Geometry and its Applications 26 (2008), no. 1, 42–51)
• K-theory of crepant resolutions of complex orbifolds with SU(2) singularities
  (Rocky Mountain Journal of Mathematics 37 (2007), no. 5, 1705–1712)
• Characteristic classes of bad orbifold vector bundles
  (Journal of Geometry and Physics 57 (2007), no. 11, 2365–2371)
• A complete obstruction to the existence of nonvanishing vector fields on almost-complex, closed cyclic orbifolds (preprint)