Online Math: Algebra and Algebraic Geometry
Alexandre Stefanov long maintained a list of
online math texts and other materials at Geocities, but it appears
that his original web site is no longer available.
Because these resources may be of interest to our readers,
we present here a modified version of Stefanov's list as of November 18, 2009.
We welcome corrections or suggested additions to this list.
See also Math on the Web, compiled by the American Mathematical Society, for more online math resources.
Topics include the following:


Abstract Algebra
 Workbook in Higher Algebra, by David Surowski with index, many exercises
 A Course in Universal Algebra, by Stanley N. Burris and H.P. Sankappanavar
 An Invitation to General Algebra and Universal Constructions, by George M. Bergman
 Varieties of Lattices, by Peter Jipsen and Henry Rose
 Elementary Abstract Algebra, by Edwin Clark
 Intro to Abstract Algebra, by Paul Garrett
 Elements of Abstract and Linear Algebra, by Edwin H. Connell
 Abstract Algebra: The Basic Graduate Year, by Robert Ash
 A Course In Commutative Algebra, by Robert Ash
 Notes for geometric group theory course, by John R. Stallings
 Advanced Linear Algebra lecture notes, by Keith Matthews
 Commutative algebra, by Ivan Fesenko
 Abstract Algebra  Number Theory, Group Theory, Galois Theory, by David Wilkins
 Abstract group theory, Papers and Notes by Chuck Miller
 Finite Groups and their Representations, by Andrew Baker
 Classical Groups, by Peter Cameron
 Galois theory, by Miles Reid
 Toeplitz and Circulant Matrices, by R. M. Gray
 Homogeneous spaces and equivariant embeddings, by Dmitri A. Timashev
 Algebra: Abstract and Concrete, by Frederick M. Goodman
 Commutative Algebra, Algebraic Geometry, Number theory, Field Theory, Galois Theory, by Sudhir R. Ghorpade
 Fundamental Problems in Algorithmic Algebra, by Chee Yap
 A. N. Whitehead's Universal Algebra, by Stephen Blake
 Commutator Theory for Congruence Modular Varieties, by Ralph Freese and Ralph McKenzie
 Constructive Aspects of the Inverse Galois Problem, by C. Jensen, A. Ledet, and N. Yui
 Publications and prepublications about braids
Algebraic Geometry
 Determinantal rings, by Winfried Bruns and Udo Vetter
 Algebraic geometry and projective differential geometry, by Joseph M. Landsberg
 Introduction to Algebraic Geometry, by Igor V. Dolgachev
 Algebraic Geometry, by J.S. Milne.
 Modular forms, by Igor Dolgachev
 Complex analytic and algebraic geometry, by JeanPierre Demailly
 Introduction to Algebraic Geometry, by Yuriy Drozd
 Moduli Spaces in Algebraic Geometry, edited by L. Goettsche
 Algebraic Curves, by Hendrik L. Lenstra
 Algebraic Geometry, Toric Varieties, Galois Theory, by David A. Cox
 Quasiprojective Moduli for Polarized Manifolds, by Eckart Viehweg
 Lectures on Vanishing Theorems, by Hélène Esnault, Eckart Viehweg
 Introduction to Algebraic Geometry, by Ravi Vakil
 Resolution of Singularities, by János Kollár
 Eleven books on geometry, topology, and algebra, by Andrew Ranicki
Elliptic Curves
Category Theory
 Toposes, Triples and Theories, by Michael Barr and Charles Wells
 Abstract and Concrete Categories, by J. Adamek, H. Herrlich, G. Strecker
 A Gentle Introduction to Category Theory, by Maarten M.Fokkinga
 Introduction to the Theory of Categories, by David Madore
 HigherDimensional Categories: an illustrated guide book, by Eugenia Cheng and Aaron Lauda
 Higher Operads, Higher Categories, by Tom Leinster
Lie Algebras
