LMS-CMI Research School: Algebraic Topology of Manifolds

Monday, September 11, 2017 (All day) to Friday, September 15, 2017 (All day)

Manifolds are at the centre of much of geometry and topology, and through the influence of axiomatic topological quantum field theory they have become an important organising force in category and representation theory.

Classically, in the 1960s, algebraic topology was at the heart of their classification theory in form of characteristic classes and numbers, cobordism theory, surgery theory, and later Waldhausen’s K-theory of manifolds. We are now experiencing a renaissance of the field as well as a paradigm shift where manifolds not only are the objects of study but become the tools. 

The school aims at inspiring the next generation with this exciting success story of interwoven ideas bouncing between different fields, and giving the participants the tools to contribute to this lively research area.

University of Oxford
Mathematical Institute
Andrew Wiles Building
United Kingdom

Lecture Courses

  • Dan Freed (Austin, USA) Topological Quantum Field Theory
  • Oscar Randall-Williams (Cambridge, UK) Characteristic classes & moduli spaces of manifolds
  • Greg Arone (Virginia, USA) The Goodwillie–Weiss embedding calculus
  • Nathalie Wahl (Copenhagen, Denmark) Homological stability

These lecture courses will be supplemented by tutorial sessions. In addition there will be guest lectures.
For further information, please visit: https://people.maths.ox.ac.uk/tillmann/ATM-SCHOOL.html

Apply online (www.surveymonkey.co.uk/r/RS33-ATManifoldsApplicationForm) by 16 June 2017. 

A reference is also required and referees should complete the online form: https://tinyurl.com/RS33rf


Research students, post-docs and those working in industry are invited to apply. *All applicants will be contacted within three weeks after the deadline; information about individual applications will not be available before then*


  • Research students: £150. There will be no charge for subsistence costs.
  • Early career researchers: £250. There will be no charge for subsistence costs.
  • Other participants: £250 plus subsistence costs.

Research students who will not have completed their PhD’s by the start of the Research School and who would otherwise be unable to attend can apply for financial aid. Application forms for financial aid will be available after the main application deadline on 16 June 2017 but details on the information that will be gathered can be found here: https://www.surveymonkey.net/r/Preview/?sm=HQmr9UGD3JwaYP6FAaQxnnK75MmVMh_2FVSzzy7RX8_2Fq5vWqg_2BqDoRQPMGMmb9jjjJ