Stony Brook University

Office: 4-112 Mathematics Building

Phone: (631)-632-8274

Dept. Phone: (631)-632-8290

FAX: (631)-632-7631

Webpage for MAT 126 Fall 2020, Lecture 1 (Sections 1-5), Calculus B

Webpage for MAT 638 Fall 2020, Topics in Real Analysis: The Weil-Petersson class, traveling salesman theoresm and minimal surfaces in hyperbolic space

Webpages for courses from previous semesters (1999-present)

Papers: this is a list of my papers and preprints with abstracts in TeX format.

Lectures these are transparencies for some of my recent talks.

Here is the Project Summary for my NSF grant running from 2013-2016. It is a very brief, non-technical description of the research performed under that grant, and gives a glimpse of what kind of problems I have been working on recently. Much more detailed and more technical descriptions can be found under the "Vita" link below.

Vita: Here is a copy of my vita, a list of my papers (no abstracts) and other information related to my research.

Harmonic Measure: Algorithms and Applications
my contribution to the proceedings of the 2018 ICM in Rio de Janeiro.
This gives a survey of topics involving planar harmonic measure, roughly
from Makarov's theorems in the 1980's up to the present, with an
emphasis on topics of interest to me: dimension of harmonic measure,
rectifiability, hyperbolic 3-manifolds and Klienian groups, conformal
welding, numerical conformal mappings, optimal meshing, dessins d'enfants
and transcendental dynamics.

Video of my ICM lecture.

Fractals in
Probability and Analysis book by Christopher Bishop
and Yuval Peres. Cambridge Studies in Advanced Mathematics, vol 162.
Posted version as of Nov. 20, 2016.
Publication due January 2017.

Cambridge University Press
,
Amazon
,
endorsements
,
bookcover ,
known typos and errors
,

Analysis, Dynamics, Geometry and Probability: March 2-6, 2020 SCGP, Stony Brook March 9, 2020 .

Low-dimensional and Complex Dynamics . December 2-6, 2019, Bernoulli Center at EPFL, Lausanne, Switzerland.

Illustrating Dynamics and Probability ICERM, Providence RI, Nov 11 - 15, 2019.

Analytic Low-Dimensional Dynamics: a celebration of Misha Lyubich's 60th birthday Fields Institute, University of Toronto, May 27 - June 7, 2019 .

International Congress of Mathematicians Rio de Janeiro, Brazil, August 1-9, 2018 .

ICM TV 2018 YouTube videos produced by WebsEdge including lectures, interviews (e.g., Etienne Guys, Cedric Villani, Ingrid Daubechies, Sir Michael Atiyah ) and promotional videos for various organizations, including Stony Brook's IMS , Microsoft Research , Swiss MAP .

Analysis and Geometry of Random Shapes IPAM-UCLA, January 7-11, 2019, schedule of talks and links to videos.

Topics in Geometric Function Theory Les Diablerets, Switzerland, February 11-16, 2018 . Swiss Rail map

SCGP Spring School on Discrete and Computational Geometry: April 17-21, 2017
.

Conference on Geometry, Analysis and Probability
.
Korea Institute for Advanced Study, May 8-12, 2017

Organizers:
Christopher J. Bishop (Stony Brook), Nam-Gyo Kang (KIAS),
Raanan Schul (Stony Brook), Ignacio Uriarte-Tuero (Michigan State).
Mail to "pj2017 at math stonybrook edu" will be
forwarded to all the organizers.

Special Session on Geometric Measure Theory and Its Applications AMS Spring 2016 Eastern Sectional Meeting. SUNY Stony Brook, session organizers: Matthew Badger, Christopher J. Bishop, Raanan Schul

Makarov Conference, Saas Fee Switzerland, March 6-11, 2016

Connections between analysis and computational geometry A workshop at SoCG 2012,
UNC Chapel Hill, Monday, June 18, 2012.

Coifman-Jones-Rokhlin conference, Yale, June 4-6, 2012. Conference Poster

Workshop on Computational and Conformal Geometry April 20-22, 2007

My research interests center on conformal geometry. Within this broad area I have worked on problems involving harmonic measure (conformal image of Lebesgue measure on the circle), Kleinian groups and Riemann surfaces (groups of conformal maps on hyperbolic space), Brownian motion (a conformally invariant random process), computational conformal geometry, optimal meshing, non-obtuse triangulation, numerical conformal mappings, quasiconformal maps, holomorphic and harmonic function theory, iteration of holomorphic maps, especially entire functions.

Journals: this is a list of some links to online journal archives.

People: some links to mathematicians with related interests.

Kiriil Lazevnik's 2017 thesis, "Several constructions in the Eremenko-Lyubich class".

Hrant Hakpbyan's 2006 thesis, "Conformal dimension of Cantor sets and curve families in the plane. Central sets of Hausdorff dimension 2"

Chris Green's 2011 Thesis: My former student's PhD thesis on the Ahlfors iteration for determining Schwarz-Christoffel parameters.

Karyn Lundberg's 2005 Thesis: My former student's PhD thesis "Boundary behavior of uniformly convergent conformal maps".

Zusanna Gonye's PhD thesis "Dimension of escaping geodesics" .

TAMS paper based on Gonye's thesis

Tutorial on C-programming C-Programming, U. of Strathcylde, Glasgow

Travel : Links to campus map, ferry schedules, train schedules, airlines.

Links to SB math dept, Math Reviews , the Combined Membership List. 2000 Math Reviews classification.

NSF graduate fellowship application webpage.

Squirrel .

SBU mail .

Simons Summer Research Program for high school students at Stony Brook University

Mathematics Summer Program for high school students at Stony Brook University

American Math Society list of Summer Programs for high school students