Higher Structures
 in Number Theory


Instructional Workshop on Higher Structures in Number Theory


Ivan Fesenko (Nottingham), Yakov Kremnitzer (Oxford), Sir Martin Taylor (Oxford), Boris Zilber (Oxford). 

Supported by the Clay Mathematical Institute and the University of Nottingham.

The workshop is aimed at both young and experienced researchers from neighbouring areas including geometry, topology, mathematical logic, algebra and mathematical physics. 

Eight expository lectures at the workshop will present key fundamental structures in higher dimensional number theory, the theory of arithmetic schemes and associated objects: higher dimensional local, semi-local-global and global fields associated to arithmetic surfaces and schemes, higher Haar measure, different higher adelic structures, higher class field theories, anabelian results for finitely generated fields, zeta functions and adelic zeta integrals of arithmetic schemes and mean-periodicity correspondence.

The workshop precedes a Clay conference on Symmetries and Correspondences in Number Theory, Geometry, Algebra and Quantum Computing: Intra-Disciplinary Trends, which is to be held at the University of Oxford on July 5-10 2014. 


Thursday 3rd - Friday 4th July, 2014


9.30 am, Thursday 3rd July - 3.30 pm, Friday 4th July.

The workshop dinner will be on Thursday evening.


Lecture Theatre C5
Physics Building
The University of Nottingham
University Park 


A small fee will be charged to non-speakers to cover refreshments during the workshop and attendance at the conference dinner, to be determined by participant numbers.

Payment options will be provided on acceptance of a place at the workshop.

Online registration


Registration will close on 25 April 2014

There is a limited amount of funding to support local accommodation costs for the nights of 3rd and 4th July.

Unless the organisers offer to provide this after registration, please arrange your own accommodation for the event. Recommended hotels include the Orchard Hotel on campus, and the IBIS or Jury's Inn in the city centre.

A letter of support for PhD students from their supervisor is required, which can be emailed by the same deadline. 

Applicants will be notified of the outcome within two weeks of the deadline.


Keynote speakers

  • Fedor Bogomolov (Courant Inst./Nottingham) 
  • Oliver Bräunling (Essen) 
  • Alberto Cámara (Besançon) 
  • Ted Chinburg (Philadelphia) 
  • Mikhail Kapranov (Yale) 
  • Matthew Morrow (Bonn) 
  • Thomas Oliver (Nottingham) 
  • Masatoshi Suzuki (TIT, Tokyo)

Is this for you?

The workshop is aimed at both young and experienced researchers from neighbouring research fields.


Conference essentials

The talks will be held in the main Physics Building, which is number 22 on the map above. 

Refreshments will be served in the adjacent Mathematical Sciences Building, which is number 20 on the same map.

The organisers are happy to advise on travel to Nottingham.


Contact the organisers

Questions, comments and suggestions are welcomed by the organisers.




The University of Nottingham
University Park

telephone: +44 (0) 115 951 5151