Ben Andrews (mathematician)

Ben Andrews is an Australian mathematician at the Australian National University. He is known for contributions to geometric analysis, with a majority of his work being in the field of extrinsic geometric flows. He received his Ph.D. from Australian National University in 1993, under the supervision of Gerhard Huisken. As of 2020, he has had nine Ph.D. students.

Recognition

In 2002, he was an invited speaker at the International Congress of Mathematicians. In 2003, he received the Australian Mathematical Society Medal, along with Andrew Hassell, for distinguished research in the mathematical sciences. In 2012 he became a fellow of the American Mathematical Society.

Publications

Textbooks

• Andrews, Ben; Hopper, Christopher (2011). The Ricci flow in Riemannian geometry. A complete proof of the differentiable 1/4-pinching sphere theorem. Lecture Notes in Mathematics. Vol. 2011. Heidelberg: Springer. doi:10.1007/978-3-642-16286-2. ISBN 978-3-642-16285-5. MR 2760593. Zbl 1214.53002.
• Andrews, Ben; Chow, Bennett; Guenther, Christine; Langford, Mat (2020). Extrinsic Geometric Flows. Graduate Studies in Mathematics. Vol. 206. Providence, RI: American Mathematical Society. doi:10.1090/gsm/206. ISBN 978-1-4704-5596-5. MR 4249616. Zbl 1475.53002.

Notable articles

A94.

Andrews, Ben (1994). "Contraction of convex hypersurfaces in Euclidean space". Calculus of Variations and Partial Differential Equations. 2 (2): 151–171. doi:10.1007/BF01191340. MR 1385524. Zbl 0805.35048.

A98.

Andrews, Ben (1998). "Evolving convex curves". Calculus of Variations and Partial Differential Equations. 7 (4): 315–371. doi:10.1007/s005260050111. MR 1660843. Zbl 0931.53030.

A99.

Andrews, Ben (1999). "Gauss curvature flow: the fate of the rolling stones". Inventiones Mathematicae. 138 (1): 151–161. doi:10.1007/s002220050344. MR 1714339. Zbl 0936.35080.

AC11.

Andrews, Ben; Clutterbuck, Julie (2011). "Proof of the fundamental gap conjecture". Journal of the American Mathematical Society. 3 (1): 899–916. arXiv:1006.1686. doi:10.1090/S0894-0347-2011-00699-1. MR 2784332. Zbl 1222.35130.