11th Pikes Peak Regional Undergraduate Mathematics Conference (PPRUMC) University of Colorado – Colorado Springs Saturday, February 15 th , 2014 Keynote Address >> Cryptography has been used for centuries to keep critical information private. The need for secure communication has grown ever more important with the advent of computers and the Internet. Today's mobile devices give individuals, corporations, and government’s unparalleled access to personal information. The recent revelations of the NSA spying program has brought computer security and privacy to the forefront of public debate. >> Most modern cryptosystems are based on mathematical problems that are "easy" to compute in one direction and "hard" to compute in the opposite direction. Since computers are based on discrete values, often times these problems come from number theory. For example, it is relatively easy to test whether a large number is prime or not, but relatively hard to factor the product of two large prime numbers. Cryptographers have exploited this simple fact to construct secure cryptosystems that serve as the backbone of Internet security. >> This talk will explore the various mathematical techniques of modern-day cryptography. After a brief history, we will delve into the algorithms for private key encryption, public key encryption, key exchange protocols, quantum computers, and post-quantum cryptography. We will also address some of the ethical issues of security and privacy in the "big data" age. No background in number theory or cryptography is necessary. Schedule 8:30–9:15 9:15–9:30 9:30–10:30 10:45–12:05 12:05–1:10 1:10–2:00 2:15–4:15 4:15 Registration & Light Breakfast Welcome and Opening Remarks Keynote Address: Stefan Erickson, Colorado College Title: Cryptography in The Computer Age: How To Use Number Theory To Take Over The World Student Presentations in Parallel Sessions Lunch—free for all registered participants (Vegetarian options available) Panel Presentation: Beyond an Undergraduate Mathematics Degree Student Presentations in Parallel Sessions Closing Remarks Contact Information Dwire Atrium Dwire Auditorium Dwire Auditorium UC 302 & UC 303 2nd floor Univ Center (UC) UC 302 UC 302, UC 303, UC 307 Sponsors Dr. Barbara Prinari, bprinari@uccs.edu University of Colorado Colorado Springs http://www.uccs.edu/math/pprumc.html