Professor Shaun Bullett Address : School of Mathematical Sciences Queen Mary, University of London Mile End Road London E1 4NS E-Mail: s.r.bullett followed by qmul.ac.uk

Office Hours :

• Office hours:

  Please contact me by e-mail to make an appointment.

Research :

• main interest: holomorphic dynamics
• other interests: algebraic and geometric topology

  Here are pictures to illustrate some of my work: image1.pdf; image2.pdf; image3.pdf; image4.pdf.

Books :

With Frank Smith (UCL) and Tom Fearn (UCL), I am joint editor of the LTCC Advanced Mathematics Series published by World Scientific:

www.worldscientific.com/series/ltccams

This series is based on courses delivered at the London Taught Course Centre for PhD Students in the Mathematical Sciences. Three volumes were published in 2016 and three more in 2017.

Recent Publications and Preprints :

• `Mating quadratic maps with the modular group III: the modular Mandelbrot set', Shaun Bullett and Luna Lomonaco, preprint revised July 2021, arxiv.org/abs/2010.04273.
• `Mating quadratic maps with the modular group II', Shaun Bullett and Luna Lomonaco, Inventiones Mathematicae, 220(1)(2020), 185-210, online 10 Oct 2019, DOI 10.1007/s00222-019-00927-9.
• `Correspondences in complex dynamics', Shaun Bullett, Luna Lomonaco and Carlos Siqueira, `New Trends in One-Dimensional Dynamics' in honour of Welington de Melo (eds M J Pacifico and P Guarino), Springer Proceedings in Mathematics and Statistics 285 (2019) 251--275. Archive version: arxiv.org/abs/1710.03385
• `Dynamics of modular matings', Shaun Bullett and Luna Lomonaco, preprint revised July 2021, arxiv.org/abs/1707.04764.
• `A holomorphic correspondence at the boundary of the Klein combination locus', Shaun Bullett and Andrew Curtis, Annales Fac. Sci. Toulouse Math., 21(2012), 1119-1137 pdf.
• `Deformations of the modular group as a quasifuchsian correspondence', Shaun Bullett, AMS Journal of Conformal Geometry and Dynamics, 14(2010), 296-321 pdf.
• `Matings in holomorphic dynamics', Shaun Bullett, in `Geometry of Riemann Surfaces', edited by Frederick P Gardiner, Gabino Gonzalez-Diez and Christos Kourouniotis, London Mathematical Society Lecture Notes No. 368, Cambridge University Press (January 2010), 88-119 ps.
• `A family of matings between transcendental entire functions and a Fuchsian group', Shaun Bullett and Marianne Freiberger, in `Transcendental Dynamics and Complex Analysis', LMS Lecture Notes No. 348 (edited by P.J.Rippon and G.M.Stallard), Cambridge University Press (June 2008), 90-110 ps.
• `Pinching holomorphic correspondences', Shaun Bullett and Peter Haissinsky, AMS Journal of Conformal Geometry and Dynamics, 11(2007), 65-89 ps.
• `Holomorphic correspondences mating Chebyshev-like maps with Hecke groups' Shaun Bullett and Marianne Freiberger, Ergodic Theory and Dynamical Systems, 25(2005), 1057-1090 ps.
• `Hecke Groups, Polynomial Maps and Matings', Shaun Bullett and Marianne Freiberger, Int J Modern Physics B, 17(2003), 392 2-3931 ps.
• `Regular and Limit Sets for Holomorphic Correspondences', S Bullett and C Penrose, Fundamenta Mathematica 167(2001),111-171 ps.
• `Mating Circle-Packing Groups with Quadratic Maps', S Bullett, QMUL preprint, October 2000 (42 pages) ps.
• `Mating quadratic maps with Kleinian groups via quasiconformal surgery', S Bullett and W Harvey, Electronic Research Announcements of the AMS, 6(2000),21-30 ps.
• `A Combination Theorem for Covering Correspondences and an Application to Mating Polynomial Maps with Kleinian Groups', S Bullett, Conform. Geom. Dyn., 4(2000),75-96 ps.

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  My Warwick PhD Thesis: `A Z/p Analogue for Unoriented Bordism' (November 1973) as three pdf files (each of about 1Mb): Chapters 1,2 and 3; Chapters 4 and 5; Chapters 6 and 7.

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  London Dynamical Systems Group Graduate School: `Lectures on one-dimensional complex dynamics' (7th-10th November 2005): Lectures 1 and 2; Lectures 3 and 4.

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  Final Report for EPSRC Grant GR R73232/01 (2002-2005) `Conformal Measures and Holomorphic Correspondences' pdf. Research Assistant: Dr Marianne Freiberger.

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Teaching :

At the end of the academic year 2012-13 I retired from teaching.

In the first semester of 2012-13 I taught:

• MTH5104 Convergence and Continuity.

  See http://www.maths.qmul.ac.uk/undergraduate/modules for the official course description, and my web-page for MTH5104 for more information.

  In the second semester of 2012-13 I taught an LTCC advanced module (Feb-March 2013):

• Holomorphic Dynamics and Hyperbolic Geometry.

  See web-page for my LTCC module for more information.
  

Postgraduate Studies :

Postgraduate Studies in the School of Mathematical Sciences at Queen Mary.

From its foundation in 2006 until October 2014 I was one of three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC). Prof Shahn Majid succeeded me in this role.

• For details of current courses visit the London Taught Course Centre website: www.ltcc.ac.uk

• For the World Scientific book series based on LTCC courses visit: www.worldscientific.com/series/ltccams

This page is maintained by Shaun Bullett. The views and opinions expressed in this page are mine. The contents have not been approved or censored by Queen Mary University of London.

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