Workshop I: Number Theory and Cryptography – Open Problems

Part of the Long Program Securing Cyberspace: Applications and Foundations of Cryptography and Computer Security
October 9 - 13, 2006

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, October 9, 2006

Morning Session
8:00 - 8:45 Check-In/Breakfast (Hosted by IPAM)
8:45 - 9:00 Welcome and Opening Remarks
9:00 - 10:00
Antoine Joux (Université Versailles/Saint Quentin-en-Yvelines)

Discrete Logarithm in all finite fields Short
Audio (MP3 File, Podcast Ready)
PDF Presentation
10:00 - 10:30 Break
10:30 - 11:30
Ronald Rivest (Massachusetts Institute of Technology)

Controlled Algebras and GII’s
Audio (MP3 File, Podcast Ready)
Presentation (PowerPoint File)
11:30 - 1:30 Lunch (on your own)

Afternoon Session
1:30 - 2:30
2:30 - 2:45 Break
2:45 - 3:45
3:45 - 4:15 Break
4:15 - 5:15
5:15 - 7:00 Wine/Cheese Reception (Hosted by IPAM)

Tuesday, October 10, 2006

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 10:00

To Be Announced
10:00 - 10:30 Break
10:30 - 11:30
11:30 - 1:30 Lunch (on your own)

Afternoon Session
1:30 - 2:30
Tanja Lange (Technische Universiteit Eindhoven)

Open Problems in Pairings
Audio (MP3 File, Podcast Ready)
PDF Presentation
2:30 - 2:45 Break
2:45 - 3:45
3:45 - 4:15 Break
4:15 - 5:15
Neal Koblitz (University of Washington)

Generic Groups
Audio (MP3 File, Podcast Ready)
5:30 - 7:00 Dinner (Hosted by IPAM)

Wednesday, October 11, 2006

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 10:00
Renate Scheidler (University of Calgary)

Real Hyperelliptic Curves
Audio (MP3 File, Podcast Ready)
PDF Presentation
10:00 - 10:15 Break
10:15 - 11:15
11:15 - 11:45 Break
11:45 - 12:45
12:45 - 2:00 Lunch (on your own)

Afternoon Session
2:00 - 3:00
4:00 - 5:00 Igor Shparlinski, Macquarie University "Inversions " (* talk located in Math Science (MS) Bldg. 6943)
5:15 - 6:15 Joseph Silverman, Brown University "Dynamical Systems from an Arithmetical Viewpoint "(* talk located in Math Science (MS) Bldg. 6943)

Thursday, October 12, 2006

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 10:00
10:00 - 10:30 Break
10:30 - 11:30
11:30 - 1:30 Lunch (on your own)

Afternoon Session
1:30 - 2:30
Everett Howe (Center for Communications Research)

Low-genus curves over finite fields
Audio (MP3 File, Podcast Ready)
PDF Presentation
2:30 - 2:45 Break
2:45 - 3:45
3:45 - 4:15 Break
4:15 - 5:15

Friday, October 13, 2006

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 10:00
10:00 - 10:15 Break
10:15 - 11:15
11:15 - 11:30 Break
11:30 - 12:30
12:30 - 1:30 Lunch (on your own)

Afternoon Session
1:30 - 2:30
2:45 - 3:45