Professor Roger Heath-Brown FRS

Background

I went to Welwyn Garden City Grammar School, and then did my BA (in mathematics) at Cambridge, at Trinity College. I stayed on for Part III and for a PhD, under Alan Baker. After 2 years as a Junior Research Fellow there I moved to a tutorial post at Magdalen, in October 1979. I stayed until December 1998, being made an ad hominem Reader in 1990, and becoming an FRS in 1993. In 1999 I moved to Worcester College, as a Statutory Professor in Pure Mathematics, and was elected as an Emeritus Fellow at Magdalen in the same year. I retired in 2016.

Research

My work lies in analytic number theory and Diophantine analysis. In particular I work on prime numbers, exponential sums, the determinant method, and the circle method.

Selected Publications

• A mean value estimate for real character sums (Acta Arith. 72 (1995), 235-275)
• The density of rational points on curves and surfaces (Annals of Math. 155 (2002), 553-595)
• Cubic forms in 14 variables (Invent. Math. 170 (2007), 199-230)