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Christopher Bishop - teaching and research

My
long CV
includes brief abstracts of my publications and preprints and the
short CV
excludes the abstracts. Updated August 2019.

Links to many of the papers can be found
here .
Papers are listed in reverse chronological
order (most recent first) and unpublished preprints are
listed at the end.

Here is
teaching portfolio
that
includes a brief statement on teaching philosophy, a list
of recently taught courses, some letters from former
students, and comments from recent student evaluations.

My research plans, describes
some problems I am currently interested in. This is a more
expository version of my recent NSF proposals, given below, which
contain less background and more technicalities.

My 2018 ICM article, describes
much of my past work.

A random walk in
analysis is an expository article that describes
some of my work on harmonic measure, hyperbolic manifolds and
computational geometry.

This is my
2018 NSF proposal, which describes
some of my current interests in greater detail.

Here are some previous NSF proposals, written in:
2015,
2012,
2009,
2006,
2003,
2000.

The corresponding proposal reviews from:
2018,
2015,
2012,
2009,
2006,
2003 ,
2000.

Slides (and a few videos) for some of my lectures are posted at
lectures .

Fractals in Probability and Analysis by Christopher Bishop
and Yuval Peres. Cambridge Studies in Advanced Mathematics, vol 162, 2017.
Math Reviews ,
MAA Review ,
endorsements.

Introduction to transcedental dynamics , lecture notes on hyperbolic
geometry, quasiconformal mappings and application to dynamics,
by Christopher Bishop (in preparation).

The Riemann mapping theorem , lecture notes on numerical conformal mapping,
by Christopher Bishop (in preparation).

Math 331, Fall 2018 , webpage for class in mathematical experimenting
via MATLAB. We cover the simplest cases of various topics like
root finding, graph theory,
simply cryptography, image compression, random walks, ... using
'hand-made' methods , rather than pre-existing software.