Christopher J. Bishop

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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[edit]

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[edit]

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[edit]

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[edit]

  • Bishop, Christopher J.; Peres, Yuval (2017). Fractals in probability and analysis. Cambridge University Press. doi:10.1017/9781316460238. ISBN 978-1-107-13411-9. OCLC 967417699.[23]

External links[edit]

References[edit]

  1. ^ Christopher J. Bishop at the Mathematics Genealogy Project
  2. ^ a b "Christopher J. Bishop Curriculum Vitae" (PDF). Retrieved November 2, 2021.
  3. ^ Bishop, Christopher J.; Jones, Peter (November 1990). "Harmonic Measure and Arclength". Annals of Mathematics. Second Series. 132 (3): 511–547. doi:10.2307/1971428. JSTOR 1971428.
  4. ^ Bishop, Christopher J. (2007). "Conformal welding and Koebe's theorem". Annals of Mathematics. 166 (3): 613–656. doi:10.4007/annals.2007.166.613. MR 2373370. Zbl 1144.30007.
  5. ^ Bishop, Christopher J. (August 2014). "True trees are dense". Inventiones Mathematicae. 197 (2): 433–452. arXiv:2007.04062. Bibcode:2014InMat.197..433B. doi:10.1007/s00222-013-0488-6.
  6. ^ Bishop, Christopher J.; Hakobyan, Hrant; Williams, Marshall (2016). "Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space". Geometric and Functional Analysis. 26 (2): 379–421. doi:10.1007/s00039-016-0368-5. S2CID 253641940.
  7. ^ Bishop, Christopher J.; Jones, Peter (November 1990). "Hausdorff dimension and Kleinian groups". Acta Mathematica. 179 (1): 1–39. arXiv:math/9403222. doi:10.1007/BF02392718.
  8. ^ Stratmann, Bernd O. (2004). "The Exponent of Convergence of Kleinian Groups; on a Theorem of Bishop and Jones". Fractal Geometry and Stochastics III. Progress in Probability. Vol. 57. pp. 93–107. doi:10.1007/978-3-0348-7891-3_6.
  9. ^ Bishop, Christopher J. (2001). "Divergence groups have the Bowen property". Annals of Mathematics. 154 (1): 205–217. doi:10.2307/3062115. JSTOR 3062115. MR 1847593. Zbl 0999.37030.
  10. ^ Bishop, Christopher J. (1997). "Geometric exponents and Kleinian groups". Inventiones Mathematicae. 127: 33–50. doi:10.1007/s002220050113. S2CID 121585615.
  11. ^ Bishop, Christopher J.; Steeger, Thomas (1993). "Representation theoretic rigidity in PSL(2, R)". Acta Mathematica. 170 (1): 121–149. doi:10.1007/BF02392456.
  12. ^ Bishop, Christopher J. (2015). "Constructing entire functions by quasiconformal folding". Acta Mathematica. 214 (1): 1-60. doi:10.1007/s11511-015-0122-0.
  13. ^ Bishop, Christopher J. (2018). "A transcendental Julia set of dimension 1". Inventiones Mathematicae. 212 (2): 407–460. Bibcode:2018InMat.212..407B. doi:10.1007/s00222-017-0770-0. S2CID 253737350.
  14. ^ Bishop, Christopher J. (2010). "Conformal mapping in linear time". Discrete & Computational Geometry. 44 (2): 330–428. arXiv:2007.06569. doi:10.1007/s00454-010-9269-9.
  15. ^ Bishop, Christopher J. (2016). "Nonobtuse Triangulations of PSLGs". Discrete & Computational Geometry. 56: 43–92. arXiv:2007.10041. doi:10.1007/s00454-016-9772-8.
  16. ^ Bishop, Christopher J.; Jones, Peter W. (1994). "Harmonic measure, -estimates and the Schwarzian derivative". Journal d'Analyse Mathématique. 62: 77–113. doi:10.1007/BF02835949. S2CID 17328825.
  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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