Christopher J. Bishop

Christopher Bishop is an American mathematician at Stony Brook University. He is known for his contributions to geometric function theory,[1][2][3] Kleinian groups,[4][5][6][7][8] complex dynamics,[9][10] and computational geometry;[11] and in particular for topics such as fractals, harmonic measure, conformal and quasiconformal mappings and Julia sets. He received his Ph.D. from the University of Chicago in 1987, under the supervision of Peter Jones.[12]

Bishop was awarded the 1992 A. P. Sloan Foundation fellowship,[13] was an invited speaker at the 2018 International Congress of Mathematicians.[14] He was included in the 2019 class of fellows of the American Mathematical Society "for contributions to the theory of harmonic measures, quasiconformal maps and transcendental dynamics".[15]

Books

With Yuval Peres, Bishop is the author of the book Fractals in Probability and Analysis (Cambridge Studies in Advanced Mathematics 162, 2009).[16]

References
  1. Christopher J. Bishop and Peter Jones, "Harmonic Measure and Arclength", Annals of Mathematics, November 1990
  2. Christopher J. Bishop, "Conformal welding and Koebe’s theorem", Annals of Mathematics, 2007
  3. Christopher J. Bishop, "True trees are dense" Inventiones mathematicae, August 2014
  4. Christopher J. Bishop and Peter Jones, "Hausdorff dimension and Kleinian groups", Acta Mathematica, November 1990
  5. Bernd O. Stratmann, "The Exponent of Convergence of Kleinian Groups; on a Theorem of Bishop and Jones.", Fractal Geometry and Stochastics, 2004
  6. Christopher J. Bishop, "Divergence groups have the Bowen property.", Annals of Mathematics, 2001
  7. Christopher J. Bishop, "Geometric exponents and Kleinian groups.", Inventiones Mathematicae, 1997
  8. Christopher J. Bishop and Thomas Steeger, "Representation theoretic rigidity in PSL(2, R).", Acta Mathematica, 1993
  9. Christopher J. Bishop, "Constructing entire functions by quasiconformal folding.", Acta Mathematica, 2015
  10. Christopher J. Bishop, "A transcendental Julia set of dimension 1.", Inventiones Mathematicae, 2018
  11. Christopher J. Bishop, "Conformal mapping in linear time.", Discrete Computational Geometry, 2010
  12. Christopher J. Bishop at the Mathematics Genealogy Project
  13. "List of past Sloan fellows."
  14. "List of 2018 ICM speakers". Archived from the original on 2017-10-25. Retrieved 2018-07-15.
  15. 2019 Class of the Fellows of the AMS, American Mathematical Society, retrieved 2018-11-07
  16. Reviews of Fractals in Probability and Analysis:


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