ICMS-LMS Undergraduate Series: Opportunities and directions in modern mathematics


This online series is held three times annually (November, February and May) and features distinguished mathematical speakers from around the world. The talks are one hour in length, followed by a leisurely Q&A session about the talk and then a Roundtable discussion about the future directions in mathematics and what opportunities are available to prospective PhD students.

The goal is to encourage undergraduates in the mathematical sciences to consider engaging in research degrees in mathematics by:

  • providing an overview of possible avenues of research from the point of view of leaders in the field,
  • discussing how undergraduates can take the next steps towards applying for a postgraduate degree,
  • offering insights to the applications and funding processes,
  • hearing from current Masters and/or PhD students,
  • answering questions from undergraduates who are considering applying for a postgraduate degree after they have completed their current studies.

ICMS-LMS Undergraduate Series - Programme for 2022-23

On behalf of the London Mathematical Society and the International Centre for Mathematical Sciences we are pleased to invite you to attend the 2022-23 talks in the ICMS-LMS Undergraduate Series: Opportunities and directions in modern mathematics. 

1. Wednesday 23 November 2022: 4.00 - 6.00pm (GMT), hosted online by the ICMS.

4.00pm Welcome

Ulrike Tillmann (INI, Cambridge)

Title: Strings and surfaces

Abstract: Surfaces, and manifolds more generally,  are fundamental objects in geometry and topology. It is surprising how rich the study of surfaces is and how much we still don't know.  In this talk, directed at undergraduates, will look at how ideas physics, in particular from quantum field theory and string theory,  have inspired mathematicians to have a fresh look.

Please note that only the lecture will be recorded.  The Q&A session and Roundtable discussion will not be recorded.

5.00pm: Q&A and Roundtable Discussion

Postgraduate applications

The main focus of the roundtable discussion will be on how to apply for a postgraduate degree. 

6.00pm: Thanks and Close.

View more details here.

Register here.


2. Wednesday 22 February 2023: 4.00 - 6.00pm (GMT), hosted online by the ICMS.

4.00pm Welcome

Speaker tbc

Title: To be announced

Abstract: To be announced

Please note that only the lecture will be recorded.  The Q&A session and Roundtable discussion will not be recorded.

5.00pm: Q&A and Roundtable Discussion

6.00pm: Thanks and Close.

Further details including how to register will be available in due course here and on the ICMS website here


3. Wednesday 31 May 2023: 4.00 - 6.00pm (BST), hosted online by the ICMS.

4.00pm Welcome

Speaker tbc

Title: To be announced

Abstract: To be announced

Please note that only the lecture will be recorded.  The Q&A session and Roundtable discussion will not be recorded.

5.00pm: Q&A and Roundtable Discussion

6.00pm: Thanks and Close.

Further details including how to register will be available in due course here and on the ICMS website here


Previous Undergraduate Mathematical Colloquia

Thursday 19 May 2022 - Barry Mazur (Harvard) Hilbert's Hotel and other encounters with infinity


Thursday 24 February 2022 - Simon Donaldson (Imperial and Stony Brook) Invitation to Geometric Analysis

Abstract: “Geometric Analysis”, in the sense of this talk, is a mixture of the analysis of partial differential equations and differential geometry. A geometric question, such as finding the shape of a soap film spanning a wire loop, is asking about the solution of a partial differential equation. Only very rarely can solutions be written down explicitly, but we can still hope to prove that solutions do (or do not) exist and, when they do, say something about them. The setting is frequently a global one, on a “manifold” with interesting topology. This is a large and highly active area in modern mathematical research and there are many connections to other fields such as topology, algebraic geometry and mathematical physics. In the talk we will sketch, with variable detail, a few of the famous results in this area.


These lectures are recorded and, pending approvals the recording, will be available on the ICMS website approx. two weeks after the event.