My research interests are in the following areas:

- Complex analysis
- Geometric function theory
- Hyperbolic geometry and discrete groups
- Complex dynamics
- Mathematics of medical imaging

List of publications:

- P. Bonfert-Taylor,
*Lessons From the Sharing Economy: Beyond lectures,*Inside Higher Ed, October 31, 2016 *Bad at math? Don’t tell your kids,*MPR News, May 24, 2016- P. Bonfert-Taylor,
*Stop telling kids you’re bad at math. You are spreading math anxiety ‘like a virus.’*The Washington Post, April 25, 2016 - P. Bonfert-Taylor, R. Canary, and E.C. Taylor,
*Quasiconformal Homogeneity after Gehring and Palka*, Computational Methods and Function Theory, 14 (2014), no. 2, 417-430.

- P. Bonfert-Taylor,
*Musings on MOOCs*, Notices of the American Mathematics Society, 2014, 69–71. - P. Bonfert-Taylor, F. Leblond, Robert Holt, Kenneth Tichauer, B. Pogue, and E. Taylor,
*Information Loss and Reconstruction in Highly Diffuse Fluorescence Tomography*, JOSA A, 29 (2012), no. 3, 321–330. - P. Bonfert-Taylor, K. Matsuzaki, and E. Taylor,
*Large and Small Covers of a Hyperbolic Manifold*, J. Geom. Anal. 22 (2012), no. 2, 455–470. - P. Bonfert-Taylor, R.Canary, J. Souto, and E. Taylor,
*Exotic quasi-conformally homoge- neous surfaces*, Bull. London Math. Soc. 43 (2011), no. 1, 57–62. - P. Bonfert-Taylor, G. Martin, A. Reid and E. Taylor,
*Teichmuller Mappings, Quasiconfor- mal Homogeneity, and Non-amenable Covers of Riemann Surfaces*, Pure Appl. Math. Q. 7 (2011), no. 2, 455–468. - P. Bonfert-Taylor, R.D. Canary, G. Martin, E. Taylor, and M. Wolf,
*Ambient Quasiconfor- mal Homogeneity of Planar Domains*, Ann. Acad. Sci. Fenn. 35 (2010), no. 1, 275–283. - P. Bonfert-Taylor, and E. Taylor,
*Quasiconformally homogeneous planar domains*, Conform. Geom. Dyn. 12 (2008), 188–198. - P. Bonfert-Taylor, K. Falk, and E. Taylor,
*Gaps in the exponent spectrum of subgroups of discrete quasiconformal groups*, Kodai Math. J. 31 (2008), no. 1, 68–81. - P. Bonfert-Taylor, M. Bridgeman, R.D. Canary and E. Taylor,
*Quasiconformal homo- geneity of hyperbolic surfaces with fixed-point full automorphisms*, Math. Proc. Cambridge Philos. Soc. 143 (2007), no. 1, 71–84. - P. Bonfert-Taylor and G. Martin,
*Quasiconformal groups with small dilatation II*, Complex Var. Elliptic Equ. 51 (2006), no. 2, 165–179. - P. Bonfert-Taylor and E. Taylor,
*Quasiconformal groups and a theorem of Bishop and Jones*, J. Geom. Anal. 15 (2005), no. 3, 373–389. - P. Bonfert-Taylor, R. Canary, G. Martin and E. Taylor,
*Quasiconformal homogeneity of hyperbolic manifolds*, Math. Ann. 331 (2005), no. 2, 281–295. - P. Bonfert-Taylor and G. Martin,
*Quasiconformal groups of compact type*, Rev. Mat. Iberoamericana 21 (2005), no. 3, 997–1012. - P. Bonfert-Taylor, M. Bridgeman and E. Taylor,
*Distortion of the exponent of convergence in space*, Ann. Acad. Sci. Fenn. 29 (2004), no. 2, 383–406. - J. Anderson, P. Bonfert-Taylor and E. Taylor,
*Convergence groups, Hausdorff dimension, and a Theorem of Sullivan and Tukia*, Geometriae Dedicata 103 (2004), 51–67. - P. Bonfert-Taylor and E. Taylor,
*Quasiconformal groups, Patterson-Sullivan theory, and the local analysis of limit sets*, Trans. Amer. Math. Soc. 355 (2003), no. 2, 787–811. - P. Bonfert-Taylor and E. Taylor,
*The exponent of convergence and a theorem of Astala*, Indiana Univ. Math. J. 51 (2002), no. 3, 607–623. - P. Bonfert-Taylor and E. Taylor,
*Hausdorff dimension and limit sets of quasiconformal groups*, Mich. Math. J. 49 (2001), no. 2, 243–257. - P. Bonfert-Taylor and G. Martin,
*Quasiconformal groups with small dilatation I*, Proc. Amer. Math. Soc. 129 (2001), no. 7, 2019–2029. - P. Bonfert-Taylor,
*Jørgensen’s inequality for discrete convergence groups*, Ann. Acad. Sci. Fenn. 25 (2000), no. 1, 131–150. - P. Bonfert,
*On the Brjuno condition, Part II*, Progress in Complex Dynamics, Pitman Research Notes in Mathematics 387, 1998, 17–26. - P. Bonfert,
*On Iteration in Planar Domains*, Mich. Math. J. 44 (1997), no. 1, 47–68.