About:

Additive combinatorics is in an astonishingly active period of development, in the UK and worldwide. There have been so many major advances in the past decade that we cannot list them all, but they include: quasipolynomial upper bounds in Roth's theorem, a resolution of the cap-set problem, effective inverse theorems for Gowers uniformity norms, a power-saving bound for difference sets avoiding shifted primes, polynomial bounds in the true complexity problem for linear systems, the resolution of the Erdos sumset conjecture, lower-bounds on off-diagonal van der Waerden numbers W(3,k), effective bounds for sets lacking shifted polynomial patterns of distinct degrees, the introduction of stable arithmetic regularity, and continued progress on the Erdos-Szemeredi sum-product problem.

The aim of this workshop is to gather together experts from different subfields of additive combinatorics, to foster in-depth discussion of the legion of recent advances, and to explore avenues for future research. Specific places have been reserved for PhD students, to develop and encourage the next generation of researchers. A volume of conference proceedings will be compiled, including 5 expository plenary talks, along with a list of open problems.

Participation:

Participants have been sent an invitation email directly from ICMS. If you have not received this, please check your junk/spam inbox or get in touch.

Please note, this workshop is at maximum capacity. We are unable to accept further registrations.

​Scam Warning

We are aware of a very convincing scam targeting participants in mathematical research events. These scammers may telephone or email you and tell you that they are organising accommodation in Edinburgh for you on behalf of ICMS. If you are approached by a third party (eg travellerpoint.org) asking for booking or payment details, please ignore. ICMS will never ask you for credit/debit card information. If we are booking accommodation for you, the email will come from ICMS, never a third party. It seems the scammers are picking up speaker names from workshop webpages so please be vigilant if you are attending other workshops elsewhere next year. This is not the only workshop and ICMS is not the only institute to be targeted. These scammers were prolific before the pandemic and would now appear to be back in business.