**Robert C. Gunning**

**Professor of
Mathematics
Princeton University **

Mailing address: Fine Hall, Washington Road, Princeton, NJ 08544

e-mail: gunning@math.princeton.edu

List of graduate students

This is a leisurely survey of compact Riemann surfaces from the point of view of function theory. It combines material from graduate lectures I have given on this topic over a number of years; some earlier lectures had been published in other forms but have been reworked and considerably extended for inclusion here, while the rest of the material is from more recent lectures. The book is a work in progress. Included here are those chapters that are in fairly final form; the table of contents lists other chapters that are still being revised or written, to be added eventually. I would greatly appreciate any corrections or suggestions that readers would care to send on to me.

During the predceding few years I taught one of the terms of the regular honors sequence, that covering just calculus in several variables, using the math218 notes (revised version, January 2012) as text for the course. The material in these notes has been incorporated in the notes for the year-long intensive honors course.

There are a number of misprints and errors of one sort and another in the volumes of

Laura Wesson, who began her studies in algebra but whose interest in functions of several complex variables was inspired by Roger Penrose's book

Peter Landweber kindly sent along the following further corrections.

I would welcome any other contributions to the list of corrections.

The American Mathematical Society has reprinted the book

A number of years ago I wrote a preliminary version of Part II of the paper

Several years ago I gave a series of graduate courses on Riemann surfaces and second-order theta functions. Preliminary and rather informal (and uncorrected) notes of the courses were prepared, but other distractions have so far prevented me from reworking this material. However it is available here, in case there is any interest in it.

70th birthday conference: former students pictured (left to right standing) Richard S. Hamilton, Yum-Tong Siu, Mrs. Xavier Gomez-Mont, Xavier Gomez-Mont, Bun Wong, Henry B. Laufer, Michael G. Eastwood, G. Cristan Poor, L. Andrew Campbell, Sheldon H. Katz