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Publications


(15) A model of the Teichmüller space of genus-zero bordered surfaces by period maps, with E. Schippers and W. Staubach. To appear in Conform. Geom. and Dyn. arXiv:1710.06960

(14) Dirichlet space of domains bounded by quasicircles, with E. Schippers and W. Staubach. To appear in Commun. Contemp. Math. arXiv:1705.01279

(13) Quasiconformal Teichmüller theory as an analytical foundation for two dimensional conformal field theory, with E. Schippers and W. Staubach, in Lie Algebras,  Vertex Operator Algebras, and Related Topics, Contemporary Mathematics, vol. 695, Amer. Math. Soc., Providence, RI, 2017, pp. 205-238. ed. K. Barron, E. Jurisich, H. Li, A. Milas, K. C. Misra, arXiv:1605.00449

(12) Convergence of the Weil-Petersson metric on the Teichmüller space of bordered Riemann surfaceswith E. Schippers and W. StaubachCommun. Contemp. Math. 19 (2017) no. 1, [39 pages]

(11) Quasiconformal maps of bordered Riemann surfaces with L^2 Beltrami differentialswith E. Schippers and W. Staubach, J. Anal. Math., 132 (2017), issue 1, 229--245

(11 + 12) A convergent Weil-Petersson metric on the Teichmüller space of bordered Riemann surfaces,  with E. Schippers and W. StaubacharXiv:1403.0868 
The material from these two papers form part of this preprint (which may contain inessential errors).

(10) The number of symmetric colorings of the dihedral group Dp, with J. Phakathi and Y. Zelenyuk, Appl. Math. Inf. Sci. 10, (2016) no. 6, 2373-2376.

(9) Dirichlet problem and Sokhotski-Plemlj jump formula on Weil-Petersson class quasidiskswith E. Schippers and W. StaubachAnn. Acad. Sci. Fenn. Math. 41 (2016), 119--127

(9 + 14) Dirichlet space of multiply-connected domains with Weil-Petersson class boundaries, with E. Schippers and W. Staubach, arxiv:1309.4337.
The preprint contains the material from (9) and part of the material from (14).



(7) Weil-Petersson class non-overlapping mappings into a Riemann surface, with E. Schippers and W. StaubachCommun. Contemp. Math. 18 (2016) no. 4, [21 pages]

(7+8) A Hilbert manifold structure on the refined Teichmüller space of bordered Riemann surfacesarXiv:1207.0973.
The material from these two papers forms this preprint (which may contain inessential errors). The notation in the published versions has been updated to reflect the usage in (11) and (12)

(6) The semigroup of rigged annuli and the Teichmüller space of the annulus, with E. Schippers J. Lond. Math. Soc. 86 (2012), no 2, 321--342. arXiv:1001.5211

(5) Fiber structure and local coordinates for the Teichmüller space of a bordered Riemann surface, with E. Schippers,  Conform. Geom. and Dyn. 14 (2010), 14--34arXiv:0906.3279

(4) A complex structure on the set of quasiconformally extendible mappings into a Riemann surface, with E. SchippersJ. Anal. Math108 (2009), no. 1, 277--291. arXiv:0803.3211

(3) A complex structure on the moduli space of rigged Riemann surfaces, with E. Schippers,  J. Geom. Symmetry Phys. 5 (2006), 82--94. arXiv:math-ph/0512080

(2) Quasisymmetric sewing in rigged Teichmuller space, with E. Schippers, Commun. Contemp. Math. 8 (2006) no. 4, 481--534. arXiv:math-ph/0507031

(1) Schiffer variation in Teichmüller space, determinant lines bundles and modular functors. 1--163, PhD Thesis, Oct 2003,  Rutgers University, NJ, USA.