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 Papers are listed in reverse chronological order (most recent first) and unpublished preprints are listed at the end.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.