Christopher J. Bishop

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 the rank of full professor there in 1997.

Bishop is known for his contributions to geometric function theory,{{cite journal

| last1=Bishop | first1=Christopher J.

| last2=Jones | first2=Peter

| jstor=1971428

| title=Harmonic Measure and Arclength

| journal=Annals of Mathematics

| date=November 1990

| series=Second Series

| volume=132

| issue=3

| pages=511–547

| doi=10.2307/1971428}}{{cite journal

| last1=Bishop | first1=Christopher J.

| title=Conformal welding and Koebe's theorem

| journal=Annals of Mathematics

| date=2007

| pages=613–656

| volume=166

| issue=3

| mr=2373370

| zbl=1144.30007

| doi=10.4007/annals.2007.166.613 | doi-access=free}}{{cite journal

| last1=Bishop | first1=Christopher J.

| title=True trees are dense

| journal=Inventiones Mathematicae

| volume=197

| pages=433–452

| date=August 2014

| issue=2

| doi=10.1007/s00222-013-0488-6| arxiv=2007.04062

| bibcode=2014InMat.197..433B

}}{{cite journal

| last1=Bishop | first1=Christopher J.

| last2=Hakobyan | first2=Hrant

| last3=Williams | first3=Marshall

| title=Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space

| journal=Geometric and Functional Analysis

| volume=26

| pages=379–421

| date=2016

| issue=2

| doi=10.1007/s00039-016-0368-5| s2cid=253641940

}} Kleinian groups,{{cite journal

| last1=Bishop | first1=Christopher J.

| last2=Jones | first2=Peter

| title=Hausdorff dimension and Kleinian groups

| journal=Acta Mathematica

| date=November 1990

| volume=179

| issue=1

| pages=1–39

| doi=10.1007/BF02392718 | doi-access=free| arxiv=math/9403222

}}{{cite conference

| last1=Stratmann | first1=Bernd O.

| contribution=The Exponent of Convergence of Kleinian Groups; on a Theorem of Bishop and Jones

| title=Fractal Geometry and Stochastics III

| series=Progress in Probability

| volume=57

| pages=93–107

| date=2004

| doi=10.1007/978-3-0348-7891-3_6}}{{cite journal

| last1=Bishop | first1=Christopher J.

| title=Divergence groups have the Bowen property

| journal=Annals of Mathematics

| date=2001

| pages=205–217

| volume=154

| issue=1

| doi=10.2307/3062115

| jstor=3062115

| mr=1847593

| zbl=0999.37030}}{{cite journal

| last1=Bishop | first1=Christopher J.

| title=Geometric exponents and Kleinian groups

| journal=Inventiones Mathematicae

| volume=127

| pages=33–50

| date=1997

| doi=10.1007/s002220050113| s2cid=121585615

}}{{cite journal

| last1=Bishop | first1=Christopher J.

| last2=Steeger | first2=Thomas

| title=Representation theoretic rigidity in PSL(2, R)

| journal=Acta Mathematica

| volume=170

| issue=1

| pages=121–149

| date=1993

| doi=10.1007/BF02392456 | doi-access=free}} complex dynamics,{{cite journal

| last1=Bishop | first1=Christopher J.

| title=Constructing entire functions by quasiconformal folding

| journal=Acta Mathematica

| volume=214

| issue=1

| page=1-60

| doi=10.1007/s11511-015-0122-0 | doi-access=free

| date=2015}}{{cite journal

| last1=Bishop | first1=Christopher J.

| title=A transcendental Julia set of dimension 1

| journal=Inventiones Mathematicae

| volume=212

| pages=407–460

| date=2018

| issue=2

| doi=10.1007/s00222-017-0770-0| bibcode=2018InMat.212..407B

| s2cid=253737350

}} and computational geometry;{{cite journal

| last1=Bishop | first1=Christopher J.

| title=Conformal mapping in linear time

| journal=Discrete & Computational Geometry

| date=2010

| volume=44

| issue=2

| pages=330–428

| doi=10.1007/s00454-010-9269-9| doi-access=free

| arxiv=2007.06569

}}{{cite journal

| last1=Bishop | first1=Christopher J.

| title=Nonobtuse Triangulations of PSLGs

| journal=Discrete & Computational Geometry

| date=2016

| volume=56

| pages=43–92

| doi=10.1007/s00454-016-9772-8| arxiv=2007.10041

}} 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.{{cite journal

| last1=Bishop | first1=Christopher J.

| last2=Jones | first2=Peter W.

| title=Harmonic measure, $L^2$-estimates and the Schwarzian derivative

| journal=Journal d'Analyse Mathématique

| date=1994

| volume=62

| pages=77–113

| doi=10.1007/BF02835949| s2cid=17328825

}}

Bishop was awarded the 1992 A. P. Sloan Foundation fellowship.{{Cite web |url=https://sloan.org/past-fellows |title="List of past Sloan fellows." |access-date=2018-07-21 |archive-date=2018-03-14 |archive-url=https://web.archive.org/web/20180314000756/https://sloan.org/past-fellows |url-status=dead }} He was an invited speaker at the 2018 International Congress of Mathematicians.{{Cite web |url=http://www.icm2018.org/portal/en/invited-section-lectures-speakers |title=List of 2018 ICM speakers. |access-date=2018-07-15 |archive-url=https://web.archive.org/web/20171025163517/http://www.icm2018.org/portal/en/invited-section-lectures-speakers |archive-date=2017-10-25 |url-status=dead }} 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"{{citation|url=https://www.ams.org/profession/ams-fellows/new-fellows|title=2019 Class of the Fellows of the AMS|publisher=American Mathematical Society|accessdate=2018-11-07}} and was a 2019 Simons Fellow in Mathematics.{{citation|url=https://www.simonsfoundation.org/2019/03/15/2019-simons-fellows-in-mathematics-and-theoretical-physics-announced/|title=2019 Simons Fellows in Mathematics and Theoretical Physics Announced|publisher=Simons Foundation|accessdate=2021-06-28}} He is on the editorial board of the journal Annales Academiae Scientiarum Fennicae Mathematica as of July 1, 2021.[https://afm.journal.fi/about/editorialTeam "Editorial Team of Annales Academiæ Scientiarum Fennicae."] In November 2021 he was appointed a Distinguished Professor at the State University of New York.[https://www.suny.edu/about/leadership/board-of-trustees/meetings/webcastdocs/2-%20Reso_%20DP-November%202021%20OGC.pdf "November 2021 SUNY Distinguished Professor appointees."]

• {{cite book

| last1=Bishop | first1=Christopher J.

| last2=Peres | first2=Yuval | authorlink2=Yuval Peres

| title=Fractals in probability and analysis

| publisher=Cambridge University Press

| date=2017

| isbn=978-1-107-13411-9

| oclc=967417699

| doi=10.1017/9781316460238}}Reviews of Fractals in Probability and Analysis:

• {{cite journal|title=Review|first=Tushar|last=Das|journal=MAA Reviews|url=https://www.maa.org/press/maa-reviews/fractals-in-probability-and-analysis|date=November 2017}}
• {{cite journal|title=Review|first=David A.|last=Croydon|s2cid=126112481|journal=Mathematical Reviews|mr=3616046|doi=10.1017/9781316460238|year=2017|isbn=9781316460238}}

• [http://www.math.stonybrook.edu/~bishop/ Home page]
• [http://scgp.stonybrook.edu/archives/29488/ Analysis, Dynamics, Geometry and Probability: March 2-6, 2020]
• [https://www.youtube.com/watch?v=O2GoSHhl1DU/ 2018 ICM Lecture]

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Category:Stony Brook University faculty

Category:Sloan Research Fellows

Category:20th-century American mathematicians

Category:University of Chicago alumni

Category:Living people

Category:Fellows of the American Mathematical Society

Category:Year of birth missing (living people)

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