Combinatorics Meets Model Theory, 20-24 June 2022

There have been several exciting developments in recent years illustrating the fruitful cross-interaction between model theory and arithmetic and extremal combinatorics. This workshop aims to bring together the two communities, with an emphasis on tutorials and open problems sessions rather than standard research talks.

This workshop will be held at the Centre for Mathematical Sciences at the University of Cambridge, UK.

It is supported by the University of Cambridge, the Heilbronn Institute for Mathematical Research under its HIMR Focused Research workshop scheme, and organised in partnership with the Clay Mathematics Institute.

University of CambridgeClay Mathematics InstituteHeilbronn Institute for Mathematical Research

Participants |  Programme | Transportation | Accommodation | Eating and Drinking | Health and Safety | Further Visitor Information | Resources for Participants (log-in required)


Due to space and budgetary limitations, participation is by invitation only.

Alexis Chevalier, University of Oxford
Arturo Rodriguez Fanlo, The Hebrew University of Jerusalem
Amador Martin-Pizarro, Albert-Ludwigs-Universität Freiburg
†Anand Pillay, University of Notre Dame
Andrew Thomason, University of Cambridge
†Ben Green, University of Oxford
Boris Bukh, Carnegie Mellon University
*Caroline Terry, The Ohio State University
Chris Laskowski, University of Maryland
Daniel Palacin, Universidad Complutense de Madrid
David Evans, Imperial College London
Dugald Macpherson, University of Leeds
† Ehud Hrushovski, University of Oxford
Emmanuel Breuillard, University of Oxford and University of Cambridge
*Gabriel Conant, The Ohio State University
Hannah Sheats, The Ohio State University
Henry Towsner, UPenn
Imre Leader, University of Cambridge
Itay Kaplan, The Hebrew University of Jerusalem
Jozsef Solymosi, University of British Columbia
*Julia Wolf, University of Cambridge
Leo Versteegen, University of Cambridge
Leonardo Coregliano, IAS
Maryanthe Malliaris, University of Chicago
Matt Tointon, University of Bristol
Mauro di Nasso, Università di Pisa
Martin Hyland, University of Cambridge
Michael Hehmann, UC Irvine
Oliver Janzer, ETH Zürich
Rehana Patel
Sam Braunfeld, Charles University Prague
Sarah Peluse, Princeton University
†Sasha Razborov, University of Chicago
Sean Eberhard, University of Cambridge
Simon Machado, University of Cambridge
†Terence Tao, UCLA
Tim Gowers, Collège de France and University of Cambridge
Tingxiang Zou, Universität Münster
Valeriia Gladkova, University of Cambridge
Yifan Jing, University of Oxford

* Organisers
† Clay-funded speakers

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The full programme, including titles and abstracts, is now available in pdf format: click here. [UPDATED: 23rd June]

All talks will be held in MR4 at the Centre for Mathematical Sciences except where indicated otherwise.

MR5 and MR12 will be available throughout the week for workshop participants to hold meetings and small-group discussions. If you require a more private space for a specific activity, please speak to one of the organisers.

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Arriving by plane

The most direct (although not usually the fastest) way to reach Cambridge from any of London's international airports is by coach. Tickets and timetables may be found at the National Express website.

There are also direct trains between London Stansted and Cambridge and between London Gatwick and Cambridge.

For those who arrive at London Heathrow, an alternative to the coach is to travel by train via London King's Cross. The fastest connection between Heathrow and London is by Heathrow Express, which ends at London Paddington. From there it is a short tube ride to London King's Cross, which has frequent connections to Cambridge. It is also possible to reach King's Cross by tube only, on the Piccadilly line. Use the TFL journey planner to plan your journey.

Arriving by train

Train tickets may be purchased from the National Rail webpage. It is advisable to purchase these in advance. There are direct trains to Cambridge from both London King's Cross and London Liverpool Street. The former tends to have faster connections, at a higher price.

Participants should note that unfortunately a national rail strike is planned for Tuesday 21, Thursday 23, and Saturday 25 June. Service on other days may also be affected. Please check before you travel. Further information is available from National Rail, Greater Anglia, Great Northern and Transport for London.

Reaching your accommodation

Most of Cambridge is walkable, although the main train station is at the opposite end of the city from the workshop venue and the pre-arranged workshop accommodation at Madingley Hall (the new train station 'Cambridge North' is at a similar distance). The coach station is located in the city centre, near Parker's Piece.

Regardless of whether you are arriving by coach or train, it will be necessary to take a taxi to your accommodation once you have arrived in Cambridge. The cost of a one-way trip to Madingley Hall is around £20. If you would like the workshop to cover the cost, please call A1Cabco with your exact arrival time (once known) and pre-book a taxi as per the procedure communicated to you via email. The cost of the trip will be charged directly to the department, but we ask that you complete one of our 'taxi coupons' to help us reconcile the account at the end of the workshop.

If you do not need the department to cover the cost of your taxi journey, there is a standard taxi rank right in front of the main train station. Almost all taxis now accept contactless payments.

Local transportation

Most workshop participants will be staying at Madingley Hall, about 3 miles from the Centre for Mathematical Sciences (CMS), where the workshop will take place. Transportation from Madingley Hall to the CMS has been arranged and will depart promptly at 8.30am from outside Madingley Hall Monday-Friday during the workshop. Please make every effort to be ready outside the main entrance in good time to ensure everyone's timely departure.

We have also arranged transportation from the Clare College to Madingley Hall after the workshop dinner at Clare on Monday 20 June, and from the CMS to Madingley Hall before the informal workshop dinner at Madingley Hall on Thursday 23 June.

For your evening return journey on other days, and your arrival/departure, you may request a taxi pick-up from any location in the city centre with destination Madingley Hall by calling A1Cabco as per the procedure communicated to you via email.

In the interest of the environment (and our budget!), we ask that you share a ride with other participants wherever possible. Please complete one of our 'taxi coupons' for each trip to help us reconcile the account at the end of the workshop.

For those who wish to stretch their legs a little at the end of the day, it is an 8-minute bus ride from the CMS to 'Coton Inglewood', which is within a pleasant quarter-of-an-hour's walk from Madingley Hall. The no. 4 Stagecoach bus departs at quarter past and quarter to the hour from 'Storey's Way' right next to the CMS (and a couple of minutes earlier from 'Castle Street', in case you find yourself in town). Tickets can be bought contactless or with cash when boarding.

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We will confirm by email whether any accommodation has been booked for you. If you are expecting accommodation and have not heard from us by the end of March, please get in touch.

Please be aware that workshops and conferences in the UK are increasingly targeted by accommodation scams. We do NOT use third parties to arrange accommodation. Any correspondence regarding your accommodation will come from one of the organisers, or one of our administrative colleagues with a address.

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Eating and Drinking


Breakfast is available at Madingley Hall 7.00-9.30 Monday to Friday, and 07.30- 10.00 on Saturday and Sunday.

Lunches and coffee breaks

There will be catered coffee breaks at CMS every day (see schedule), as well as fully catered lunch breaks. You are more than welcome to take your food upstairs or outdoors, onto the front lawn or the picnic tables near the Betty and Gordon Moore Library, if the weather permits.

A water cooler will be provided. For the benefit of the environment, please bring your own bottle/mug if you are able to.

CMS Cafeteria

For any additional catering needs during the day, the CMS cafeteria is open 9.00-16.00 Monday-Friday.

Workshop dinner at Clare on Monday

The workshop dinner will be held in the Garden Room at Clare College. Please arrive at 6.45pm for a 7pm start, via the Memorial Court entrance on Queens Road, and follow the signs to the Gillespie Centre.

There will be a seating plan but there is no formal dress code.

Return transportation to Madingley Hall has been pre-arranged.

Informal dinner at Madingley Hall on Thursday

There will be no seating plan (and no dress code) for the informal workshop dinner on Thursday night, to be held in the Hickson Room. Please arrive at 6.45pm for a 7pm start.

If you are staying at Madingley Hall, transportation to Madingley Hall will have been pre-arranged for you after the last talk. For those staying at Marino Place, transportation to Madingley Hall has been arranged departing at 6.30pm.

Local restaurants

A list of possible dining options is available here. For any further or more detailed recommendations, please ask a local. When making dinner plans, please bear in mind that Cambridge is exceptionally busy this week (it's May Week!), so you are advised to book ahead where possible.

Madingley Hall has a cafe and restaurant.


The closest supermarket to CMS is Sainsbury's on Sidney Street. For those staying Marino Place, the Co-op is another option.

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Health and Safety

The organisers wish for this event to be as inclusive as possible. We therefore recommend that participants who are willing and able to wear face coverings indoors whenever practical.

Some more spaced-out seating will be reserved by the window in MR4 for those who wish to maintain some degree of social distancing.

We will also have some FFP2 masks and lateral flow test kits available for those who wish to use them. Please email/speak to one of the organisers.

The UK government's COVID-19 guidance is available at International entry requirements are detailed here.

The latest COVID-19 guidance for the Centre for Mathematical Sciences is available at this link.

If you have any particular concerns with regard to health and safety at the workshop, please get in touch with the organisers.

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Further Visitor Information


Most buildings in the University of Cambridge, including the Centre for Mathematical Sciences and the Colleges, offer access to Wifi via Eduroam. For those who do not have an Eduroam account from their home institution, Wifi tokens will be available to use for the duration of the workshop.

Visa Letters

If you require an invitation letter to support your visa application, please get in touch with the organisers.

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This page was last updated 23rd June 2022.