David A. Cox Picture of David A. Cox
Professor of Mathematics

Department of Mathematics and Statistics

Amherst College


404 Seeley Mudd Building
Amherst, MA 01002
413-542-2082 (phone)
413-542-2550 (fax)

Click here for my Amherst College Faculty Profile


Lecture Notes

Here are some postscript or pdf files containing lecture notes for various lectures given in recent years.
Cover of Toric Varieties

Toric Varieties

Click here for the web page for my book Toric Varieties, written with John Little and Hal Schenck. This book is about a wonderful part of algebraic geometry that has deep connections with polyhedral geometry. It is published by the American Mathematical Sociedty.



Cover of Galois Theory

Galois Theory

Click here for the web page for my book Galois Theory. This book is about the wonderful interaction between group theory and the roots of polynomials. It is now in its second edition and is published by John Wiley & Sons. The book has been translated into Japanese.



Cover of Primes book

Primes of the Form x2 + ny2

Click here for the web page for my book Primes of the Form x2 + ny2. This book is about Fermat, class field theory, and complex multiplication, and was written for anyone who loves number theory. It is now in its second edition is published by John Wiley & Sons. The book is available in a modestly priced paperback edition.



Cover of Ideals, Varieties and Algorithms

Ideals, Varieties, and Algorithms

Click here for the web page for my book Ideals, Varieties and Algorithms, written with John Little and Don O'Shea. This book is an introduction to algebraic geometry and commutative algebra, and was written for undergraduate math majors. It is now in its third edition and is published by Springer-Verlag. The book has been translated into Japanese and Russian.



Cover of Using Algebraic Geometry

Using Algebraic Geometry

Click here for the web page for my book Using Algebraic Geometry, also written with John Little and Don O'Shea. This book is an introduction to Gröbner bases and resultants, which are two of the main tools used in computational algebraic geometry and commutative algebra. It also discusses local methods and syzygies, and gives applications to integer programming, polynomial splines and algebraic coding theory. It is published by Springer-Verlag and is available in hardcover and paperback. The second edition appeared in the Spring of 2005. The book has also been translated into Japanese.


Cover of Mirror Symmetry and Algebraic 

Geometry

Mirror Symmetry and Algebraic Geometry

Click here for the web page for my book Mirror Symmetry and Algebraic Geometry, written with Sheldon Katz. This monograph is an introduction to the mathematics of mirror symmetry, with a special emphasis on its algebro-geometric aspects. Topics covered include the quintic threefold, toric geometry, Hodge theory, complex and Kähler moduli, Gromov-Witten invariants, quantum cohomology, localization in equivariant cohomology, and the work of Lian-Liu-Yau and Givental on the Mirror Theorem. The book is written for algebraic geometers and graduate students who want to learn about mirror symmetry. It is also a reference for specialists in the field and background reading for physicists who want to see the mathematical underpinnings of the subject. It is published by the American Mathematical Society.


Affiliations

I am a member of the Advisory Board of the Graduate Studies in Mathematics series, published by the American Mathematical Society. Click here for the home page of the series.

I am also on the Editorial Board of the Journal of Symbolic Computation, published by Elsevier. Click here for the home page of the journal.


You can contact me at
dac@math.amherst.edu