The Geometry and Topology group have interests in Algebraic Surgery Theory and the Topology of Manifolds; Algebraic Geometry and its relation to Combinatorics, Commutative Algebra, Gauge Theory and Mathematical Physics, Homotopy theory, Symplectic Geometry; Birational Geometry; Category Theory and its Applications; Derived Categories and Moduli Spaces; and Derived Algebraic Geometry. Together with Algebra and Number Theory group we form the Hodge Institute.

We run EDGE, our geometry seminar, and the Topology Seminar. We also have a number of informal activities.

- Ivan Cheltsov
**Head of Research Group**Professor - Toby Bailey Reader
- Arend Bayer Reader
- Harry W Braden Professor
- Iain Gordon Head of School
- Milena Hering Lecturer
- Tom Leinster Chancellor's Fellow
- Antony Maciocia Senior Lecturer
- Johan Martens Chancellor's Fellow
- Jon Pridham Chancellor's Fellow
- Sue Sierra Senior Lecturer
- Roberto Fringuelli
- Natalia Iyudu Research Fellow
- Martin Kalck Research Fellow

- Brent Pym Research Fellow
- Peter Samuelson
- Michael Atiyah Honorary Professor
- Andrew Ranicki Professor, Professor of Algebraic Surgery
- Jenny August Postgraduate Student
- Tom Avery Postgraduate Student
- Sjoerd Beentjes Postgraduate Student
- Matt Booth Postgraduate Student
- Soheyla Feyzbakhsh Postgraduate Student
- Graham Manuell Postgraduate Student
- Thi Nguyen
- Ruth Reynolds
- Fatemeh Rezaee
- Bach Tran