About the lecture

In this mini-lecture, we cover Topic G1 by introducing important terms and notation used in geometry. In particular, we focus on: (i) defining the plane, points, and lines; (ii) defining parallel and perpendicular lines, and how to recognise them; (iii) defining polygons, vertices, edges; (iv) examples of polygons, such as pentagons and triangles, including triangle notation for edges and angles; (v) regular polygons, for example the square; and (vi) reflection (horizontally, vertically, and diagonally) and rotation symmetries of the square and how these symmetries compare to those of the rectangle.

About the lecturer

Jason Lotay is a Professor of Pure Mathematics at the University of Oxford. He has previously held academic positions at UCL, Imperial College London, and Berkeley. His research interests are in differential geometry, particularly related to special holonomy, minimal submanifolds, gauge theory and geometric flows, and instantons.