# Our research

## Structure & Symmetry

#### Focused on fundamental research in pure mathematics and mathematical physics, the theme covers algebraic geometry, algebraic number theory, algebraic topology, category theory, geometric group theory, non-commutative algebra, mathematical physics and representation theory.

## Seminars

### EDGE Seminar

The Geometry seminar is held every Tuesday, 3:30-4:30pm normally in the main seminar room at theÂ **Bayes Centre (5th floor, room 5.10)**, but for up-to-date information follow the link on the right.

### EMPG Seminar

The seminars of Â the Edinburgh Mathematical Physics Group (EMPG) take place on Wednesday afternoons. For further information on EMPG, its members and the seminar times following the link on the right.

### MAXIMALS Seminar

The seminar take place on Tuesday afternoons. For the seminar times check the link on the right

### Mathematical Physics

Quantum field theory, conformal field theory, topological and integrable solitons,Â integrability, statistical mechanics, gauge theory, twistor theory,Â string theory, non-commutative geometry in string theory, field theory and quantum gravity, geometry of supersymmetry and supergravity, AdS/CFT duality, holography, black holes, aspects of quantum gravity. For details, see the webpage of the Edinburgh Mathematical Physics Group (EMPG).Â

### Algebra and Representation Theory

Algebraic combinatorics, Lie theoretic representation theory, noncommutative algebra, noncommutative geometry, representations of quivers. For Â details see the webpage of the Hodge Institute.

### Algebraic and Symplectic Geometry

Birational algebraic geometry, derived categories and their applications, moduli spaces, derived algebraic geometry, singularity theory, toric geometry.Â For Â details see the webpage of the Hodge Institute.

### Groups, semigroups and geometry

Geometric, combinatorial and computational group theory, low-dimensional topology, groups and connections to theoretical computer science, group actions in nonpositive curvature, semigroups and operator algebras

### algebraic topology and Category theory

We have strong and well-developed interests in higher-dimensional algebraic topology, category theory and its applications, and the geometry of algebraic numbers. For Â details see the webpage of the Hodge Institute.