LMS-CMI Research School: Homotopy Theory and Arithmetic Geometry: Motivic and Diophantine Aspects

Monday, July 9, 2018 (All day) to Friday, July 13, 2018 (All day)


The focus of this research school is on three major advances that have emerged lately in the interface between homotopy theory and arithmetic: cohomological methods in intersection theory, with emphasis on motivic sheaves; homotopical obstruction theory for rational points and zero cycles; and arithmetic curve counts using motivic homotopy theory. The emergence of homotopical methods in arithmetic represents one of the most important and exciting trends in number theory, and the lectures will give a gentle introduction to this highly technical area.

Imperial College
Department of Mathematics
South Kensington Campus, Imperial College London
United Kingdom

The three main lecture course topics are:

  • Cohomological methods in intersection theory.
    • Lecturer: Denis-Charles Cisinski (University of Regensburg) Assistant: Christopher Lazda (University of Amsterdam)
  • Homotopical manifestations of rational points and algebraic cycles.
    • Lecturer: Tomer Schlank (Hebrew University of Jerusalem) Assistant: Ambrus Pal (Imperial College London)
  •  Arithmetic enrichments of curve counts.
    • Lecturer: Kirsten Wickelgren (Georgia Tech), Assistant: Frank Neumann (University of Leicester)
    • These lecture courses will be supplemented by tutorial sessions and a guest lecture by Paul Arne Østvær (University of Oslo), Jon Pridham (University of Edinburgh) and Vesna Stojanovska (University of Illinois at Urbana-Champaign)
  • For further information please visit: http://wwwf.imperial.ac.uk/~apal4/summer/school.html

    Apply online (https://www.surveymonkey.co.uk/r/RS39ApplnForm) by 9 April 2018. 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 (registration fee). There will be a separate charge for accommodation, if required.
  • Fees are not payable until a place at the Research School is offered but will be due by 28 May 2018.


    Financial Aid

    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 9 April 2018 but details on the information that will be gathered can be found here: https://tinyurl.com/mve2fxb


LMS-CMI Research Schools aim to provide training for young researchers in core areas of mathematics. Students and post-docs can meet a number of leading experts in the topic as well as other young researchers working in related areas.

This LMS-CMI Research School is run in partnership with the London Mathematical Society and the Clay Mathematics Institute and is supported by the Heilbronn Institute of Mathematics Research.


The LMS is the UKs learned society for mathematics. Registered charity no. 252660 (www.lms.ac.uk)

The CMI is charitable private operating foundation, incorporated in the USA.