Christopher J. Bishop

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Christopher Bishop is an American mathematician at Stony Brook University.

Career[]

Bishop received his Ph.D. from the University of Chicago, under the supervision of Peter Jones.[1] Before his appointment at Stony Brook University, he held positions at MSRI in Berkeley, and at UCLA.

Research[]

Bishop is known for his contributions to geometric function theory,[2][3][4][5] Kleinian groups,[6][7][8][9][10] complex dynamics,[11][12] and computational geometry;[13][14] and in particular for topics such as fractals, harmonic measure, conformal and quasiconformal mappings and Julia sets. Along with Peter Jones, he is the namesake of the class of Bishop-Jones curves.[15]

Awards and Honors[]

Bishop was awarded the 1992 A. P. Sloan Foundation fellowship.[16] He was an invited speaker at the 2018 International Congress of Mathematicians.[17] 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".,[18] and was a 2019 Simons Fellow in Mathematics.[19] He is on the editorial board of the journal Annales Academiae Scientiarum Fennicae Mathematica as of July 1, 2021.

Books[]

With Yuval Peres, Bishop is the author of the book Fractals in Probability and Analysis (Cambridge Studies in Advanced Mathematics 162, 2009).[20]

External links[]

References[]

  1. ^ Christopher J. Bishop at the Mathematics Genealogy Project
  2. ^ Christopher J. Bishop and Peter Jones, "Harmonic Measure and Arclength", Annals of Mathematics, November 1990
  3. ^ Christopher J. Bishop, "Conformal welding and Koebe’s theorem", Annals of Mathematics, 2007
  4. ^ Christopher J. Bishop, "True trees are dense" Inventiones mathematicae, August 2014
  5. ^ Christopher J. Bishop, Hrant Hakobyan and Marshall Williams "Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space" Geometric and Functional Analysis, 2016
  6. ^ Christopher J. Bishop and Peter Jones, "Hausdorff dimension and Kleinian groups", Acta Mathematica, November 1990
  7. ^ Bernd O. Stratmann, "The Exponent of Convergence of Kleinian Groups; on a Theorem of Bishop and Jones.", Fractal Geometry and Stochastics, 2004
  8. ^ Christopher J. Bishop, "Divergence groups have the Bowen property.", Annals of Mathematics, 2001
  9. ^ Christopher J. Bishop, "Geometric exponents and Kleinian groups.", Inventiones Mathematicae, 1997
  10. ^ Christopher J. Bishop and Thomas Steeger, "Representation theoretic rigidity in PSL(2, R).", Acta Mathematica, 1993
  11. ^ Christopher J. Bishop, "Constructing entire functions by quasiconformal folding.", Acta Mathematica, 2015
  12. ^ Christopher J. Bishop, "A transcendental Julia set of dimension 1.", Inventiones Mathematicae, 2018
  13. ^ Christopher J. Bishop, "Conformal mapping in linear time.", Discrete Computational Geometry, 2010
  14. ^ Christopher J. Bishop, "Nonobtuse Triangulations of PSLGs.", Discrete Computational Geometry, 2016
  15. ^ Christopher J. Bishop, Peter Jones "Harmonic measure, L^2-estimates and the Schwarzian derivative.", Journal d’Analyse Mathematique, 1994
  16. ^ "List of past Sloan fellows."
  17. ^ "List of 2018 ICM speakers". Archived from the original on 2017-10-25. Retrieved 2018-07-15.
  18. ^ 2019 Class of the Fellows of the AMS, American Mathematical Society, retrieved 2018-11-07
  19. ^ 2019 Simons Fellows in Mathematics and Theoretical Physics Announced, Simons Foundation, retrieved 2021-06-28
  20. ^ Reviews of Fractals in Probability and Analysis:


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