The workshop will be held at the University of York during the week 19 to 23 May 2014. The aim of this workshop is to create a fruitful environment for new interdisciplinary collaborations between those working in electronics and number theory. To assist this plenty of time will be set aside for informal discussion. The focused workshop will be held on Tuesday 20 May and Wednesday 21 May and will consist of at most 5 talks per day. On Monday, members of the York number theory group will give a presentation on aspects of Diophantine approximation relevant to recent applications to interference alignment.

Organisers:

• Victor Beresnevich, victor.beresnevich(at)york.ac.uk
• Jason Levesley, jason.levesley(at)york.ac.uk
• Sanju Velani, sanju.velani(at)york.ac.uk
• Evgeniy Zorin, evgeniy.zorin(at)york.ac.uk

Participants

• Faustin Adiceam (Maynooth)
• Paloma Bengoechea (York, Mathematics)
• Victor Beresnevich (York, Mathematics)
• Keith Briggs (BT, UK)
• Alister Burr (York, Electronics)
• John Clark (York, Computer Science)
• Jason Devaney (Roke, UK)
• Cong Ling (Imperial College London)
• Maurice Dodson (York, Mathematics)
• Uri Erez (Tel Aviv)
• Michael Gastpar (Berkeley+EPFL Lausanne)
• Stijn Hanson (York, Mathematics)
• Alan Haynes (York, Mathematics)
• Nikolaos-Stavros Kargellis (York, Mathematics)
• Jason Levesley (York, Mathematics)
• Robby McKilliam (University of South Australia)
• Abolfazl Seyed Motahari (Sharif University of Technology)
• Bobak Nazer (Boston)
• Or Ordentlich (Tel Aviv)
• Andy Pollington (NSF, USA)
• Felipe Ramirez (York, Mathematics)
• Sennur Ulukus (Maryland)
• Sanju Velani (York, Mathematics)
• Pankaj Vishe (York, Mathematics)
• Steve Wales (Roke, UK)
• Zhengdao Wang (Iowa State University)
• Evgeniy Zorin (York, Mathematics)

Programme

Click here for Abstracts of Talks

Monday, May 19   (All talks in Wentworth W/222)  

14:00 - 14:15     Welcome

14:15 - 15:15     Sanju Velani (University of York), Classical Diophantine approximation revisited

15:15                   Tea

15:45 - 16:30     Victor Beresnevich (University of York), Extremality, the Khintchine-Groshev theorem and badly approximable points (slides)

16:45 - 17:30     Evgeniy Zorin (University of York), Effective Khintchine-Groshev theorem with the view to applications in electronics (slides)

Tuesday, May 20  (All talks in Wentworth W/222)

10:00 - 11:00    Seyed Abolfazl Motahari (Sharif University of Technology), Alignment of Real Numbers: An Application of Diophantine Approximation in Communication Systems (slides)

11:10                  Coffee

11:50 - 12.50     Sennur Ulukus (University of Maryland), Secure Degrees of Freedom of Wireless Networks (slides)

13:00                   Lunch

14.15 - 15.15     Uri Erez (Tel Aviv University), Lattice Codes for Digital Communication (slides)

15:30 - 16:00     Cong Ling (Imperial College London), Secrecy coding for the wiretap channel: lattices and number theory (slides)

16:10                   Tea

16:45 - 17.45     Keith Briggs (BT), A computational approach to generating badly approximable pairs for communications applications (slides)

Wednesday, May 21 (All talks in Berrick Saul BS/005)

10:00 - 11:00     Zhengdao Wang (Iowa State University), Wireless Signaling with Numbers: Designs and Performance Guarantees Based on Results from Number Theory (slides)

11:10                   Coffee

11:50 - 12:50     Alister Burr (University of York), Linear Wireless Physical Layer Network Coding based on two-dimensional lattices (slides)

13:00                   Lunch

14:15 - 15:15     Bobak Nazer (Boston University), "Single-Letterization" of Gaussian Networks into Diophantine Approximation Problems (slides)

15:25                   Tea

16:00 – 17:00    Michael Gastpar (Berkeley+EPFL Lausanne), Diophantine and Lattice problems arising in emerging Wireless Communication Strategies (slides)

19:30                   Conference Dinner

Thursday, May 22 (All talks in Berrick Saul BS/008)

10:00 - 11.00     Or Ordentlich (Tel Aviv University), Lattice Interference Alignment via "Double-Sided" Diophantine Approximation (slides)

11:15                   Coffee

11:45 - 12.45     Robby McKilliam (University of South Australia), Finding shortest and closest vectors in a lattice of Voronoi's first kind (slides)

13:00                   Lunch

Free Afternoon

Friday, May 23 (All talks in Berrick Saul BS/008)

10:00 - 12.00     Discussions & wrap up

13:00                   Lunch

Location

The workshop will be held at the University of York from 19 to 23 May 2014. Details of how to get to the University can be found here. 

Pictures

Pictures of the workshop can be found here.