Christopher J. Bishop

Christopher Bishop is an American mathematician on the faculty at Stony Brook University. He received his bachelor's in mathematics from Michigan State University in 1982, going on from there to spend a year at Cambridge University, receiving at Cambridge a Certificate of Advanced Study in mathematics, before entering the University of Chicago in 1983 for his doctoral studies in mathematics. As a graduate student in Chicago, his advisor, Peter Jones,[1] took a position at Yale University, causing Bishop to spend the years 1985–87 at Yale as a visiting graduate student and programmer. Nonetheless, he received his PhD from the University of Chicago in 1987.[2]

Career

Upon receiving his PhD, Bishop went to MSRI in Berkeley from 1987–88. After that, he was the Henrik Assistant Professor at UCLA from 1988–91. In 1992 he joined, and remains on, the faculty of Stony Brook University, attaining full professor there in 1997.[2]

Research

Bishop is known for his contributions to geometric function theory,[3][4][5][6] Kleinian groups,[7][8][9][10][11] complex dynamics,[12][13] and computational geometry;[14][15] 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.[16]

Awards and honors

Bishop was awarded the 1992 A. P. Sloan Foundation fellowship.[17] He was an invited speaker at the 2018 International Congress of Mathematicians.[18] 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".,[19] and was a 2019 Simons Fellow in Mathematics.[20] He is on the editorial board of the journal Annales Academiae Scientiarum Fennicae Mathematica as of July 1, 2021.[21] In November 2021 he was appointed a Distinguished Professor at the State University of New York.[22]

Books
  • Bishop, Christopher J.; Peres, Y. (2017). Fractals in probability and analysis. Cambridge, United Kingdom. ISBN 978-1-107-13411-9. OCLC 967417699.[23]

References
  1. Christopher J. Bishop at the Mathematics Genealogy Project
  2. "Christopher J. Bishop Curriculum Vitae" (PDF). Retrieved November 2, 2021.
  3. Christopher J. Bishop and Peter Jones, "Harmonic Measure and Arclength", Annals of Mathematics, November 1990
  4. Christopher J. Bishop, "Conformal welding and Koebe’s theorem", Annals of Mathematics, 2007
  5. Christopher J. Bishop, "True trees are dense" Inventiones mathematicae, August 2014
  6. Christopher J. Bishop, Hrant Hakobyan and Marshall Williams "Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space" Geometric and Functional Analysis, 2016
  7. Christopher J. Bishop and Peter Jones, "Hausdorff dimension and Kleinian groups", Acta Mathematica, November 1990
  8. Bernd O. Stratmann, "The Exponent of Convergence of Kleinian Groups; on a Theorem of Bishop and Jones.", Fractal Geometry and Stochastics, 2004
  9. Christopher J. Bishop, "Divergence groups have the Bowen property.", Annals of Mathematics, 2001
  10. Christopher J. Bishop, "Geometric exponents and Kleinian groups.", Inventiones Mathematicae, 1997
  11. Christopher J. Bishop and Thomas Steeger, "Representation theoretic rigidity in PSL(2, R).", Acta Mathematica, 1993
  12. Christopher J. Bishop, "Constructing entire functions by quasiconformal folding.", Acta Mathematica, 2015
  13. Christopher J. Bishop, "A transcendental Julia set of dimension 1.", Inventiones Mathematicae, 2018
  14. Christopher J. Bishop, "Conformal mapping in linear time.", Discrete & Computational Geometry, 2010
  15. Christopher J. Bishop, "Nonobtuse Triangulations of PSLGs.", Discrete & Computational Geometry, 2016
  16. Christopher J. Bishop, Peter Jones "Harmonic measure, L^2-estimates and the Schwarzian derivative.", Journal d'Analyse Mathématique, 1994
  17. ""List of past Sloan fellows."". Archived from the original on 2018-03-14. Retrieved 2018-07-21.
  18. "List of 2018 ICM speakers". Archived from the original on 2017-10-25. Retrieved 2018-07-15.
  19. 2019 Class of the Fellows of the AMS, American Mathematical Society, retrieved 2018-11-07
  20. 2019 Simons Fellows in Mathematics and Theoretical Physics Announced, Simons Foundation, retrieved 2021-06-28
  21. "Editorial Team of Annales Academiæ Scientiarum Fennicae."
  22. "November 2021 SUNY Distinguished Professor appointees."
  23. Reviews of Fractals in Probability and Analysis:


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