Dr. Nicholas Shepherd Barron

Biography

Nicholas Shepherd-Barron works in aspects of algebraic geometry, particularly focusing on singularities and the Minimal Model Program, along with compactification of moduli spaces and rationality of orbit spaces of moduli spaces of curves of genus 4 and 6. His interests also encompass algebraic surfaces in positive characteristic, including the proof of Raynaud's conjecture, and he is engaged with canonical models in the sense of birational geometry, as well as with Shimura varieties and moduli spaces of abelian varieties. He has contributed significantly to the understanding of the Schottky problem, boundary relations of algebraic groups, and del Pezzo surfaces. Elected a Fellow of the Royal Society in 2006, his research output includes various articles related to elliptic surfaces and cohomology theories. He is also involved with the Geometry Group, which focuses on topics such as geometric analysis, homogeneous spaces, Lie groups, differential geometry, and mirror symmetry.

Research Interests