01.  Anish's Home Page

One stop for plenty of cryptology and security related information.

02. A list of large Math routines
Listing of software packages to develop, test and verify various cryptology primitives involving large numbers.

03. Abstract Algebra: The Basic Graduate Year
This is a student-oriented text covering the standard first year graduate course in algebra authored by Robert B. Ash

04. A Computational Introduction to Number Theory and Algebra.

 By Victor Shoup, a book introducing basic concepts from computational number theory and algebra, including all the necessary mathematical background. The book is published by Cambridge University Press. The book will continue to be freely available online in PDF format under a Creative Commons license. 

05. Handbook of Applied Cryptography.

The book is authored by Alfred J. Menezes, Paul C. van Oorschot and Scott A. Vanstone. It is published by CRC press

06. Course Notes For Analytic Number Theory
By Graham Everest

07. Course notes on Elementary Number Theory
Notes are from a course taught by Michael Filaseta

08. CryptoBytes
Free technical newsletter on cryptography from RSA Laboratories, the research center of RSA Security Inc.

09. Cryptogram
A free monthly security newsletter released on 15th of every month by Dr.Bruce Schneier.

10. Cryptology ePrint Archive at IACR
The Cryptology ePrint Archive provides rapid access to recent research in cryptology.

11. Dr. Mike Rosing's Home Page

Plenty of information on Elliptic Curve Cryptography.

12. Elliptic Curve Cryptography Tutorial (ECC)
A very short introduction to ECC on Certicom

13. Elliptic Curves and Their Applications to Cryptography: An Introduction
Authored by Andreas Enge

14. J.S. Milne's Course Notes
Notes on Cryptography.

15. Lecture Notes on Cryptography
This is a set of lecture notes for a summer course on cryptography, taught by the authors at the Massachusetts Institute of Technology (MIT), 1996--2001.

16. Lecture notes on Algebra and Number Theory
Authored by A.Baker.

17. Lecture notes on Elementary Number Theory
Taught by William A. Stein

18. Lecture notes on the complexity of some problems in number theory
Authored by Dana Angluin

19. Lectures on Cryptography
By Gerhard Frey

20. Millennium Prize Problems, Clay Mathematics Institute

Certain math problems if proved would get you a million dollars.

21. Modern Cryptography - Winter 2000

22. The Foundations of Cryptography - drafts of a two-volume book
Authored by Oded Goldreich

23. The Pairing-Based Crypto Lounge
References to cryptosystems based on the existence of bilinear, non-degenerate, efficiently computable mappings (called pairings) over certain groups.