- 1/12/2018: String dualities and calibrated cycles
- 9/11/2017: M-theory/heterotic/type IIA duality
- 6/06/2017: M-theorists’ fantasy shopping list for singular G
_{2}manifolds - 1/09/2017: M theory and Type IIA superstring theory: Six-dimensional limits of G
_{2}Manifolds - 9/15/2016: Codimension seven singularities in M-theory compactifications
- 9/15/2016: Beyond the standard model
- 9/13/2016: The standard model of particle physics
- 9/12/2016: Particle physics for mathematicians
- 9/6/2016: G
_{2}manifolds and particle physics

### January 12, 2018

TITLE: String dualities and calibrated cycles

### September 11, 2017

TITLE: M-theory/heterotic/type IIA duality

### June 6, 2017

TITLE: M-theorists’ fantasy shopping list for singular G_{2} manifolds

### January 9, 2017

TITLE: M theory and Type IIA superstring theory: Six-dimensional limits of G_{2} Manifolds

ABSTRACT: M theory spacetimes which are “fibered” by a circle have an alternative description in Type IIA

superstring theory in the limit that the circle is small. Supersymmetry in Type IIA theory leads to

spacetimes that are “Calabi-Yau threefolds with anti-holomorphic involutions together with special Lagrangian

D-branes and magnetic flux”. M theory/Type IIA duality requires that these arise as S1 collapsed limits of holonomy

-manifolds. I will try and review this picture and emphasise the many open mathematical problems. Time permitting,

I will also discuss how “open Gromov-Witten theory” could be related to associative sub manifolds in M theory.

### September 15, 2016

TITLE: Codimension seven singularities in M-theory compactifications

### September 15, 2016

TITLE: Beyond the standard model

### September 13, 2016

TITLE: The Standard model of particle physics

### September 12, 2016

TITLE: Particle physics for mathmematicians

### September 6, 2016

TITLE: G₂-manifolds and Particle Physics

ABSTRACT: -holonomy spaces serve as well motivated models of the seven extra dimensions of space predicted by M-theory. I will review how this leads to a completely geometric picture of all the known elementary forces including gravity. Special kinds of singularity of -spaces play a crucial role in this picture, which one might regard as a generalisation of the McKay correspondence. I will try to describe some mathematical problems which have arisen from this work concerning the existence of -holonomy metrics with singularities and questions about the moduli space of -manifolds.