Main navigation
- Programs
- Subjects
- Universities
- Destinations
- Advice
If you're considering launching an academic path or aiming to enhance your abilities for an industry career, pursuing a PhD will ignite your enthusiasm for your field while challenging you to achieve your highest capabilities. Analysis serves as a fundamental pillar of contemporary mathematics, exploring spaces and functions with measurable distances that enable the examination of limit processes. At its core, analysis establishes the rigorous framework for calculus and integration theory. At advanced levels, it becomes essential for addressing partial differential equations and stochastic processes. Current number theory and differential geometry also incorporate significant analytical aspects. At Leeds, analysis research focuses on functional analysis, partial differential equations, geometric analysis, and harmonic analysis, covering both theoretical foundations and practical uses in mathematical physics and engineering.