Workshop on Knotted Surfaces

This workshop aims to bring together researchers and students to discuss topics related to the embedding of surfaces in 4-manifolds. Examples of such topics include:

• comparing and contrasting equivalence relations on surfaces in 4-manifolds;

• the isotopy classification of surfaces;

• the sliceness of 2-links (does every 2-link in the 4-sphere bound a disjoint collection of embedded 3-balls in the 5-ball);

• and more!

The primary objective of the workshop is to introduce PhD students and early career researchers to this exciting and rapidly evolving field. The workshop is intended to be accessible to advanced master's students and PhD students.

Applications:

Update as of 14 October: We are delighted by the unexpectedly high number of people who have expressed an interest in our conference. We have reviewed all the applications received and everyone who registered by today's date should have received an email from us regarding their application.

Please note that, due to capacity and funding limitations, we will most likely only be able to accept very few more applicants. We apologise for this!

 
Later applications are possible until the 15th November 2026. 

Statement on the use of AI:

We would like to ask the participants of this workshop to refrain from using AI in the discussion groups during the workshop. We encourage everyone to engage in face-to-face discussions that focus on human ideas and understanding.

A number of concerns and potential threats surrounding the use of AI in mathematical research can be found e.g. in the

Leiden Declaration on Artificial Intelligence and Mathematics. 

Organizers:

• Simi Hellsten

• Frieda Kern

• Mark Powell

• Paula Truöl