Fox & Hedgehog Seminar

The Fox and Hedgehog seminar, established in 2023, aims to forge closer ties within our broad academic community: between mathematicians and physicists, and between junior and senior members. The seminars are a collaboration among the various partner institutions in the AGQ CDT: the schools/departments of mathematics at Glasgow, Edinburgh, and Heriot-Watt, and the Higgs Centre for Theoretical Physics. The target audience of this series is PhD students, although any and all interested staff and students are always welcome to attend.

In an article in the New York Review of Books, Freeman Dyson writes, “Great scientists come in two varieties, which Isaiah Berlin, quoting the seventh-century-BC poet Archilochus, called foxes and hedgehogs. Foxes know many tricks, hedgehogs only one. Foxes are interested in everything, and move easily from one problem to another. Hedgehogs are interested only in a few problems which they consider fundamental, and stick with the same problems for years or decades… Science needs both hedgehogs and foxes for its healthy growth, hedgehogs to dig deep into the nature of things, foxes to explore the complicated details of our marvelous universe.”

Every two weeks, we invite a member of our community to give a pedagogical blackboard talk aimed at a broad audience of PhD students from mathematics, mathematical physics, and theoretical physics. Every speaker will be asked to answer the following:
     – What is one big problem/idea in your field, and why is it interesting/motivating to you?
     – How did you first encounter this problem/idea? How did you come to approach it, and how has your thinking and methodology developed along the way?
     – Are you a Hedgehog or a Fox?

The seminar will alternate among our different physical locations, always available online. For in-person participants, the seminar will be followed by refreshments and a half-hour informal discussion, starting with “a day in the life” of the speaker.

Student organisers: Maegan Anderson (UoE/Higgs), Giorgio Frangi (Higgs), Rafaela Ioannou (HW)

Staff contacts: Clark Barwick (UoE), Vaibhav Gadre (Glasgow), Anton Ilderton (Higgs), Alessandro Sisto (HW)

Administrative contact: Emma Johnston (Higgs)

Next seminars:

  • 7 October, 2025, 3:30-4:30pm, Higgs Centre, Edinburgh (JCMB 4305)
    Speaker: Tudor Dimofte

    Re-innovating the wheel: Tannaka duality and extended operators in QFT

    Tannaka duality was developed in the late 1930’s in order to reconstruct a complex Lie group from its category of representations. Its generalization, more often simply called “reconstruction theory,” has now become a fundamental part of representation theory — in particular, representation theory of categories and higher categories. It was used in physics in the 1990’s (and the 2000’s… and again in the 2010’s…) to represent line operators in topological QFT’s — by folks like Freed, Witten, and Costello. I will talk about how I stumbled into it in the course of my work, was drawn in by its power, and have been seeking new applications.

  • 21 October, 2025, 3:30-4:30pm, Bayes Centre area, Edinburgh (50 George Square G.01)
    TBA
  • 4 November - no seminar, join the AGQ student conference in Glasgow!
  • 18 November, 2025, 3:30-4:30pm, Higgs Centre, Edinburgh (JCMB 4305)
    TBA
  • 2 December, 2025, 3:30-4:30pm, Glasgow
    TBA
  • 16 December, 2025, 3:30-4:30pm, Bayes Centre, Edinburgh (Bayes 5.46)
    TBA

Past seminars: 

For seminars from 2023-24 and 2024-25, visit our previous website.