Eric Schippers

Profile

Select Publications

Name: Eric Schippers

Position Title: Professor

Office Phone Number: (204) 474-6926

Email: Eric.Schippers@umanitoba.ca

Research and Teaching Interests

complex analysis, geometric function theory, Teichmueller theory, conformal field theory

Education

B.Sc. Toronto
M.Sc. Toronto
Ph.D. Toronto

Courses taught

MATH 1700 A01
MATH 2080 A01
MATH 4290 A01
MATH 7290 A01

Links

http://server.math.umanitoba.ca/~schippers/

Schippers, Eric (2018). Conformal invariants associated with quadratic differentials. Israel J. Math. 223(1), 449–491.
Schippers, Eric and Staubach, Wolfgang (2018). Riemann boundary value problem on quasidisks, Faber isomorphism and Grunsky operator. Complex Anal. Oper. Theory 12 (2), 325–354.
Radnell, David; Schippers, Eric and Staubach, Wolfgang (2017). Convergence of the Weil-Petersson metric on the Teichmüller space of bordered Riemann surfaces. Commun. Contemp. Math. 19 (1), 1650025, 39.
Radnell, David; Schippers, Eric and Staubach, Wolfgang (2017). Quasiconformal maps of bordered Riemann surfaces with L2 Beltrami differentials. J. Anal. Math. 132, 229–245.
Radnell, David; Schippers, Eric and Staubach, Wolfgang. Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory. In Lie algebras, vertex operator algebras, and related topics 205–238. Amer. Math. Soc., Providence, RI, 2017.
Schippers, Eric and Staubach, Wolfgang (2017). Harmonic reflection in quasicircles and well-posedness of a Riemann-Hilbert problem on quasidisks. J. Math. Anal. Appl. 448 (2), 864–884.
Schippers, Eric and Staubach, Wolfgang (2017). Well-posedness of a Riemann-Hilbert problem on d-regular quasidisks. Ann. Acad. Sci. Fenn. Math. 42 (1), 141–147.
Radnell, David; Schippers, Eric and Staubach, Wolfgang (2016). Dirichlet problem and Sokhotski-Plemelj jump formula on Weil-Petersson class quasidisks. Ann. Acad. Sci. Fenn. Math. 41 (1), 119–127.
Radnell, David; Schippers, Eric and Staubach, Wolfgang (2016). Weil-Petersson class non-overlapping mappings into a Riemann surface. Commun. Contemp. Math. 18 (4), 1550060, 21.
Schippers, Eric (2016). Quadratic differentials and conformal invariants. J. Anal. 24 (2), 209–228.
Radnell, David; Schippers, Eric and Staubach, Wolfgang (2015). A Hilbert manifold structure on the Weil-Petersson class Teichmüller space of bordered Riemann surfaces. Commun. Contemp. Math. 17(4), 1550016, 42.
Reimer, Krista and Schippers, Eric (2015). Faber-Tietz functions and Grunsky coefficients for mappings into a torus. Complex Anal. Oper. Theory 9 (8), 1663–1679.
Schippers, Eric and Staubach, Wolfgang (2015). A symplectic functional analytic proof of the conformal welding theorem. Proc. Amer. Math. Soc. 143 (1), 265–278.
Penfound, Bryan and Schippers, Eric (2013). Power matrices for Faber polynomials and conformal welding. Complex Var. Elliptic Equ. 58 (9), 1247–1259.
Radnell, D. and Schippers, E. (2012). The semigroup of rigged annuli and the Teichmüller space of the annulus. J. Lond. Math. Soc. (2) 86 (2), 321–342.
Radnell, David and Schippers, Eric (2010). Fiber structure and local coordinates for the Teichmüller space of a bordered Riemann surface. Conform. Geom. Dyn. 14, 14–34.
Schippers, Eric (2010). A power matrix approach to the Witt algebra and Loewner equations. Comput. Methods Funct. Theory 10 (1), 399–420.
Schippers, Eric (2010). The derivative of the Nehari functional. Ann. Acad. Sci. Fenn. Math. 35 (1), 291–307.
Radnell, David and Schippers, Eric (2009). A complex structure on the set of quasiconformally extendible non-overlapping mappings into a Riemann surface. J. Anal. Math. 108, 277–291.
Schippers, Eric and Staubach, Wolfgang (2009). Variation of Neumann and Green functions under homotopies of the boundary. Israel J. Math. 173, 279–303.
Roth, Oliver and Schippers, Eric (2008). The Loewner and Hadamard variations. Illinois J. Math. 52 (4), 1399–1415.
Schippers, Eric (2007). The calculus of conformal metrics. Ann. Acad. Sci. Fenn. Math. 32 (2), 497–521.
Radnell, David and Schippers, Eric (2006). A complex structure on the moduli space of rigged Riemann surfaces. J. Geom. Symmetry Phys. 5, 82–94.
Radnell, David and Schippers, Eric (2006). Quasisymmetric sewing in rigged Teichmüller space.Commun. Contemp. Math. 8 (4), 481–534.
Schippers, Eric (2006). The power matrix, coadjoint action and quadratic differentials. J. Anal. Math. 98, 249–277.
Schippers, Eric (2004). Behaviour of kernel functions under homotopic variations of planar domains.Comput. Methods Funct. Theory 4 (2), 283–298.
Schippers, Eric (2003). Conformal invariants and higher-order Schwarz lemmas. J. Anal. Math. 90, 217–241.
Schippers, Eric. Conformal invariants corresponding to pairs of domains. In Future trends in geometric function theory 207–219. Univ. Jyväskyl,̈ Jyv”k̈yl”a, 2003.
Schippers, Eric D. (2002). Estimates on kernel functions of elliptically Schlicht domains. Comput. Methods Funct. Theory 2 (2, [On table of contents: 2004]), 579–596.
Schippers, Eric (2000). Distortion theorems for higher order Schwarzian derivatives of univalent functions. Proc. Amer. Math. Soc. 128 (11), 3241–3249.
Schippers, Eric Duncan (1999). The calculus of conformal metrics and univalence criteria for holomorphic functions. ProQuest LLC, Ann Arbor, MI.