Summer School on "Computational Number Theory and Applications to Cryptography"

June 19-July 7, 2006

Laramie, Wyoming

See Public Lecture Video (56k) (256k)

Organizers - Sponsors - Lecturers - Participants - Student Research Projects -  Description - Public Lecture - PrerequisitesAccommodation, Registration, Funding - Travel
Contact Information
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Course Material - Tentative Schedule - Participant Talks  - Activities - Program T-Shirts

Program Pictures
 

Rho Rho Rho Your Points (song by Eric Landquist)

 


Organizers: (TOP)

 

Sponsors:  (TOP)


                      
                                                                   


 

Lecture Abstracts

 

Participant List  
Student Research Projects   Click here to see which project you've been assigned!
Course Material  

Description:  (TOP)

The Workshop will be held at the University of Wyoming in Laramie, Wyoming, under the auspices of the Rocky Mountain Consortium and the Fields Institute. This summer school is also supported in part by the Informatics Circle of Research (iCORE) and the Institute for Mathematics and its Application (IMA) through its Participating Institution (PI) Program. PI members may use IMA/PI funds to support travel of their personnel to this conference.

The purpose of this summer school is to bring student participants up to speed on the most recent developments in mathematical cryptography.  Early registration is suggested since space is limited this year. In addition to the lectures, the conference will consist of student projects, group discussions, question and answer times, problem sessions and workshop periods.

The summer school will take place immediately before the Fall 2006 Fields Institute Thematic Program in Cryptography. A related program takes place at IPAM, on the topic of "Securing Cyberspace."

This three-week Summer School will introduce the participants to the theory and applications of computational number theory and its consequences for cryptography. Topics include:

  • Arithmetic of algebraic number fields and algebraic function fields.
  • Primality and integer factorization.
  • Discrete logarithm: Pollard rho, Pollard kangaroo, index calculus.
  • Public key cryptography
  • Elliptic curve cryptosystems (ECC)
  • Hyperelliptic curve cryptosystems (HCC)
  • Pairings
  • Computational complexity
  • Multivariate Public-Key Cryptosystems
  • Lattices and lattice-based cryptosystems
     

Prerequisites  (TOP)
Undergraduate courses in algebra or number theory. A graduate course in Algebra or number theory would be very helpful, but not necessary.


Public Lecture  ***(AG Auditorium)***
Public Lecture - RRMC 2006 (PPT)

Tentative Schedule

Accommodation, Registration, Funding:  (TOP)

A limited number of stipends will be issued on a competitive basis and will be divided among participants. Each faculty and graduate student wishing to attend the conference should complete the registration. The application can be completed electronically. Faculty seeking funding should submit a vita, a letter describing his or her professional aspirations and what he or she hopes to accomplish by participation in this conference, and a letter of recommendation from the applicant's department chairperson. Graduate students seeking funding should submit a supporting letter from their advisor or department head. Participants not seeking funding should fill out the housing application and indicate that no funds are requested.


Travel    (TOP)

RMMC Transportation 2006 (PDF)

RMMC Transportation 2006 (.doc)

Transportation from the Denver International Airport to Laramie, Wyoming for the 2006 IMA/RMMC Conference 

Laramie is located 130 miles north of Denver, Colorado, 60 miles north of Fort Collins, Colorado and 45 miles west of Cheyenne, Wyoming. Denver International Airport (DIA) is the major airport serving Wyoming. 

Participants can book a flight to Laramie from Denver; however flights are limited into Laramie. The following are the flight times from DIA to Laramie (via Great Lakes Aviation). We recommend flying to Laramie as the best option and there is free pickup by University staff for transportation to the residence halls. Reservations for this service must be made with Mr. Terry Shearin at: 

Mathematics Department
Dept 3036
10000 E. University Ave.
Laramie, WY 82070
307 766 4222
ashearin@uwyo.edu 

Denver to Laramie Via GREAT LAKES AVIATION

 

Saturday, June 17th

 

Depart Denver:  11:01 A.M.

Arrive Laramie: 11:46 A.M. 

Depart Denver:  4:00 P.M.

Arrive Laramie: 4:45 P.M.

 

Sunday, June 18th

 

Depart Denver: 3:52 P.M.

Arrives Laramie: 4:37P.M. 

Depart Denver: 9:05 P.M.

Arrive Laramie: 9:50 P.M.

 

Laramie to Denver Via GREAT LAKES AVIATION

Friday, July 7th

 

Depart Laramie: 7:05 A.M.

Arrive Denver: 7:48 A.M. 

Depart Laramie: 12:01A.M.

Arrive Denver: 12:44 P.M. 

Depart Laramie: 4:47 P.M.

Arrive Denver:  5:30 P.M.  

Saturday, July 8th

 

Depart Laramie: 8:17 A.M.

Arrive Denver: 9:00 A.M. 

Depart Laramie: 12:01A.M.

Arrive Denver: 12:44 P.M.

Sunday, July 9rh

 

Depart Laramie: 7:05 A.M.

Arrive Denver: 7:48 A.M. 

Housing may not be available in the residence halls for Saturday night. 

 

     
 

A bus shuttle, Shamrock Airport Express provides transportation from DIA to Cheyenne, Wyoming. A schedule of Shamrock Airport Express is available at www.rideshamrock.com. The one-way fee is $34.00. The University of Wyoming Math Department will provide a shuttle from Cheyenne to Laramie. Participants should take the shuttle from DIA to the Hitching Post in Cheyenne.  

There will be no transportation from Cheyenne on Saturday, June 17th. (Except in emergencies—contact Terry Shearin @ (307) 399-2399) On Sunday, June 18th there will be three shuttles: 4:30 P.M, 7:30 P.M and 9:30 P.M. The round-trip fee for this shuttle is $25.00 and must be paid in advance. Send check or money order made out to RMMC to Terry Shearin by May 1, 2006. Math Department staff will be wearing University of Wyoming t-shirts and driving a University of Wyoming van.  

Participants may prefer to rent a car at DIA. The most direct route to Laramie from DIA is U.S. Interstate 25 (I-25) north to Cheyenne, WY. From there take I-80 west to Laramie. Maps of the University can be found at: http://uwadmnweb.uwyo.edu/uw/visitors

There are flights from Denver to Cheyenne, however there is no shuttle service from Cheyenne airport to Laramie so participants would be on their own finding transportation from Cheyenne to Laramie. 

Return shuttles from Laramie to Cheyenne will be at the following times. On Friday July 7th there will be three shuttles at 9:30 A.M, 12:30 P.M. and 3:30 P.M. On Saturday July 8th there will be one shuttle at 4:40 AM. The conference ends at 11:00 A.M. on July 7th

Remember that reservations must be made with Shamrock Airport between Cheyenne and DIA and that reservations and prepayment must be made with Terry Shearin for the shuttle between Cheyenne and Laramie.

Please contact Terry Shearin (ashearin@uwyo.edu or 307-766-4222) and not Professor Andreas Stein with any questions about transportation to Laramie.


For further information, please contact:  (TOP)

Andreas Stein
Department of Mathematics
University of Wyoming
P.O. Box 3036, 1000 E. University Ave
Laramie, WY 82071-3036
Phone: +1 (307) 766-2209
FAX: +1 (307) 766-6838
e-mail: astein@uwyo.edu


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