University of Oxford

Sarah Hart·University of Oxford

Professor Sarah Hart explores the profound, often subconscious, mathematical structures underpinning musical harmony and rhythm, revealing how number theory and group theory elucidate our aesthetic responses to sound.

Irene Tracey·University of Oxford

Professor Irene Tracey, Vice-Chancellor of the University of Oxford, presents her annual address on the institution's strategic direction and academic priorities.

Roger PenroseNobel Laureate·University of Oxford

Explains light-cone causal topology, trapped surfaces, Weyl curvature vanishing at the Big Bang, and conformal rescaling across cosmological aeons.

Jason Starr·University of Oxford

This lecture introduces two fundamental models of hyperbolic space: the upper half-plane and the Poincaré disk. It rigorously examines their intrinsic symmetries, geodesic paths, and the deep connection to Möbius transformations in complex analysis.

Parinya Chalermsook·University of Oxford

Parinya Chalermsook explores the reciprocal influence between extremal combinatorics and the design and analysis of algorithms and data structures, from Ramsey theory to sorting paradigms.

Richard Mycroft·University of Oxford

Richard Mycroft presents an asymptotically optimal minimum positive codegree condition for Hamilton cycles in k-graphs, generalizing Dirac's theorem for hypergraphs.