Topic: Cryptography
Mentee: Nicholas Lobosco
Mentor: Surya Teja Gavva
DRP Website
Topics
Discrete Logarithms and Diffie-Hellman
The ElGamal public key cryptosystem
Integer Factorization and RSA
Miller-Rabin Primality test
AKS Primality Test
Lattices and Cryptography
The GGH public key cryptosystem
The NTRU public key cryptosystem
Reduced Bases and LLL Algorithm
Low-Exponent RSA
Attacks on RSA
References
Books
Introduction to Modern Cryptography, J. Katz, Y. Lindell
Secure Multiparty Computation and Secret Sharing
An Introduction to Mathematical Cryptography, J. Hoffstein, J. Pipher, J. Silverman
Applied Cryptography, Neal Koblitz
Cryptography: Theory and Practice, Stinson
Algebraic Aspects of Cryptography, Neal Koblitz
The LLL Algorithm Survey and Applications
Recent Advances in RSA Cryptography, Stefan Katzenbeisser
Cryptanalytic Attacks on RSA, Song Y Yan
Lecture Notes, Articles
The Foundations of Cryptography, Oded Goldreich
A Graduate Course in Applied Cryptography, Dan Boneh and Victor Shoup
Notes
Cryptography, Manoj Prabhakaran
Introduction to Modern Cryptography
Goldwasser, Bellare
A Course on Crypto, Pass and Shelat
Lattice Crypto
Lattice Based Crytpography, D. Micciancio, O. Regev
A Decade of Lattice Cryptography, Chris Peikert
Lattice Based Cryptography for Beginners
Advanced Topics in Cryptography: Lattices, Vinod Vaikuntanathan
Lattices in Computer Science, Oded Regev
Attacks on RSA
Don Coppersmith
RSA Attacks Survey
Boneh- Durfee Low exponent
Historical Papers
Historical Papers in Cryptography Seminar Series
Simons Lecture Videos
Cryptography Boot Camp
Securing Computation
The Mathematics of Modern Cryptography
AKS primality test.
Terry Tao - blog post
PRIMES ARE IN P - Original Paper
Granville's exposition
Another Exposition
suryateja[at]math[dot]rutgers[dot]edu