معرفی
Dr. Heather Macbeth is a Senior Lecturer in Pure Mathematics at Imperial College London, specializing in Kähler geometry, geometric analysis, and the formalization of mathematics. Her research develops geometric analysis techniques for complex manifolds while advancing proof verification through the Lean theorem prover.
She leads the development of Lean's Mathlib library, creating formalizations for differential geometry, functional analysis, and representation theory. Her textbook The Mechanics of Proof introduces proof writing through Lean, integrating computer verification with mathematical pedagogy.
Funded by a Microsoft Research Lean Award, Dr. Macbeth organizes workshops on formal mathematics and serves on the AMS Committee on Publications. Her geometric research examines Ricci solitons, Yamabe invariants, and Kähler-Einstein metrics, while her formalization work includes Sobolev inequalities and semilinear functional analysis.
Research Contributions:
- Geometric analysis of Ricci solitons and Kähler metrics
- Formal verification of functional analysis theorems
- Proof assistant pedagogy and textbook development
- Contributions to Lean's mathematical library
