v STUK 18

Set Theory in the United Kingdom 18

University College London
Thursday 19 February 2026

Set Theory in the United Kingdom is a research network in set theory that was formed in 2018 and has been funded by three Scheme 3 grants of the London Mathematical Society and two INI Network Support grants by the Isaac Newton Institute for Mathematical Sciences.

The members of the network are the Universities of Bristol, Cambridge, East Anglia, Leeds, Oxford, Warwick and University College London. The current coordinators are Sam Coskey (London), Asaf Karagila (Leeds), and Benedikt Löwe (Cambridge).

STUK 18 is the eighteenth installment of the series and will take place Room 706 of the Mathematics Department of University College London (25 Gordon Street; directions) on Thursday 19 February 2026. The Mathematics Department is is a five minute walk from Euston Station and a 15 minute walk from King's Cross–St Pancras, situated on the corner of Gordon Street and Gower Place above the Students' Union. To get to the Department you should go through the main entrance to the Students' Union at 25 Gordon Street. Turn right along the reception counter and then turn left, going through three sets of swing doors until you reach the second set of lifts—the Mathematics Department lifts. Take a lift to the seventh floor, turn right and go through two sets of doors, and Room 706 is to the left.

Invited speakers:
Tim Button (London)
When are theories equivalent? A case study concerning weak categori(c)al theories of the hierarchy 		Natasha Dobrinen (Notre Dame IN)
Halpern-Läuchli theorems (and failures) on various cardinals and applications to homogeneous structures 		Corey Switzer (Vienna)
Cardinal characteristics and \(\aleph_1\)-dense linear orders
11:00–11:30 Welcome
11:30–12:30 Corey Switzer (Vienna)
Cardinal characteristics and \(\aleph_1\)-dense linear orders
12:30–14:00 Lunch
14:00–15:00 Tim Button (London)
When are theories equivalent? A case study concerning weak categori(c)al theories of the hierarchy
15:00–15:30 Coffee break
15:30–16:30 Natasha Dobrinen (Notre Dame IN)
Halpern-Läuchli theorems (and failures) on various cardinals and applications to homogeneous structures.
16:30–16:45 Coffee break
16:45–18:00 Informal presentations
16:45–17:05 Eric Nichols (Norwich)
17:05–17:25 Paul Levy (Birmingham)
17:25–17:30 Matous Schnabel (London)
17:30–18:00 Andrew Brooke-Taylor (Leeds)
18:00–18:20 Asaf Karagila (Leeds)

Sponsors.

EPSRC EP/V521929/1