Pikes Peak Regional Undergraduate Mathematics Conference


11th Annual Pikes Peak Regional Undergraduate Mathematics Conference
Saturday, February 15, 2014
University of Colorado - Colorado Springs
Conference Poster is available HERE.

The focus of this annual conference is to give undergraduate mathematics students an opportunity to present their research and expository projects in a professional setting. Students throughout the Pikes Peak region and beyond are strongly encouraged to present in the areas of mathematics, mathematics education and the history of mathematics. Presentation topics could include the results of classroom or independent study, as well as REU or other research projects. Both research and expository topics are welcome. Students who do not present are also encouraged to attend, and learn more about the mathematics profession, including graduate school and career opportunities. Based on recent attendance, we expect several dozen student presenters and over one hundred attendees from Colorado, Wyoming and other neighboring states.


Program

8:30–9:15 Registration & Light Breakfast  Dwire Atrium
9:15–9:30 Welcome and Opening Remarks  Dwire Auditorium
9:30–10:30 Keynote Address: Stefan Erickson, Colorado College
Title: Cryptography in The Computer Age: How To Use Number Theory To Take Over The World
Dwire Auditorium
10:45–12:05 Student Presentations in Parallel Sessions (15 minutes each, with 5 minutes between talks) UC 302 & UC 303
12:05–1:10 Lunch—free for all registered participants
(Vegetarian options available)
Unversity Center (2nd floor)
1:10–2:00 Panel Presentation: Beyond an Undergraduate Mathematics Degree UC 302
2:15–4:15 Student Presentations in Parallel Sessions (15 minutes each, with 5 minutes between talks) UC 302, UC 303, UC 307
4:15 Closing Remarks

 

Schedule of Talks & Book of Abstracts

Detailed schedule of the talks is available HERE.  You can also view the Book of Abstracts HERE.

Keynote Address 

Speaker: Dr. Stefan Erickson, Colorado College

Cryptography in the Computer Age:

How to Use Number Theory To Take Over The World

 VIDEO LECTURE 

PDF Presentation

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.

Information for Registered Participants

(Registration is now CLOSED. For questions related to registration, please contact bprinari@uccs.edu)
  • Map with Conference Venues is available HERE 
  • Registration is free for all participants, and includes lunch on Saturday!
  • A pre-conference social event featuring free food and movie will take place Friday evening in Clyde's (1st floor of University Center).
  • Limited travel funds are available for undergraduate student participants. 

(*) In order to allow attendees to get to know each other, we will host a pre-conference event on Friday evening, February 14th, from 6 - 8 pm in the Clyde's restaurant (1st floor of the University Center). The documentary "Achieving the unachievable", by J. Bergeron will be shown: it is a mathematical inquiry around the mystery behind the missing hole in M.C. Escher "Print Gallery". Please join us for a fun evening of conversation, movie, and food!

Location and Parking Info

The registration, welcome and opening remarks and the Keynore Address will occur in Dwire Hall (see map). Please pick up your conference materials before 9:15 AM there. All the other events (after the Keynote) will take place in the University Center.


Parking on the UCCS campus is free on weekends (Saturday and Sunday, as well as Friday after 4pm) — no permit is required.
The most convenient lots are parking garage, and lots 3 and 4 on the south side of campus (see map).

Directions to the UCCS Campus

The UCCS campus is located just off I-25 in Colorado Springs. Below are general directions to the UCCS campus.

From the North – Take I-25 South to the Garden of the Gods Exit 146. Turn left to go under I-25 and follow Garden of the Gods Road. Garden of the Gods turns into Austin Bluffs Parkway (at the Nevada Avenue intersection). Continue up the hill and you will see the university on your left. The first UCCS entrance with the roundabout (first stoplight) accesses El Pomar Center and the Kraemer Family Library. The second entrance (second stoplight), UCCS Drive Meadow Lane, takes you to Cragmor Hall and Main Hall. Financial Aid, Student Success, Academic Advising, and Admissions and Records are located here.

From the South  – Take I-25 North to the Garden of the Gods Exit 146. Follow Garden of the Gods east. Garden of the Gods turns into Austin Bluffs Parkway (at the Nevada Avenue intersection). Continue up the hill and you will see the university on your left. The first UCCS entrance with the roundabout (first stoplight) accesses El Pomar Center and the Kraemer Family Library. The second entrance (second stoplight), UCCS Drive Meadow Lane, takes you to Cragmor Hall and Main Hall. Financial Aid, Student Success, Academic Advising, and Admissions and Records are located here.

From Academy Boulevard – Academy Boulevard intersects with Austin Bluffs Parkway about 1 1/2 miles east of the campus. When driving west on Austin Bluffs from Academy Boulevard, the campus will be on the right.

Travel and Housing

The conference has limited funding available to reimburse participants for travel (mileage) and housing. Requests for reimbursement (including hotel receipts) will be collected at the conference. The amount that we can reimburse will depend on the number of requests we receive; priority will be given to student presenters. Since we cannot guarantee full travel funding, we recommend participants to seek funding from their home institutions.

Attendees from out of town are responsible for making their own hotel arrangements. Here is a link to hotel information.
February tends to be a busy month in Colorado Springs, so if you are staying overnight please make your hotel reservations early!

Need more information? Talk with a mathematics faculty member at your school, or contact Dr. Barbara Prinari.

Sponsors

Funding for PPRUMC is partially provide by NSF grant DMS-084677 through the MAA Regional Undergraduate Mathematics Conference Program.

Additional  support for PPRUMC 2014 from Rocky Mountain Section of the MAA and the UCCS College of Letters, Arts and Sciences is gratefully acknowledged.