博士分析

我们的分析研究小组是英国该领域最重要的研究中心之一，尤其是线性和非线性PDE和谐波分析。与世界一流的学术人员接触和监督，丰富的研讨会和工作组计划，以及最终获得具有国际声誉的血统证书，将使您对数学分析的热情得到回报。数学学院是一个充满活力的社区，由60多名学术和相关人员组成，负责监督60名学生。我们特别关注经典欧几里德谐波分析与现代PDE理论之间的相互作用。我们研究数论，几何量度论，组合论，离散几何和几何不变性不等式中的谐波分析思想，并研究谐波分析在具有粗糙系数和/或粗糙域的椭圆和抛物线偏微分方程中的应用。
Our analysis research group is one of the UK's top centres for research in the field, especially in linear and nonlinear PDEs and harmonic analysis.<br><br>Your passion for mathematical analysis will be rewarded by contact with, and supervision by, world-leading academic staff, a rich seminar and working group programme and ultimately a qualification that boasts an internationally respected pedigree.<br><br>The School of Mathematics is a vibrant community of more than 60 academic and related staff supervising 60 students.<br><br>We have a unique focus on the interplay of classical Euclidean harmonic analysis with the modern theory of PDEs. We study harmonic analytic ideas in number theory, geometric measure theory, combinatorics, and discrete geometry and geometrically invariant inequalities, and we investigate applications of harmonic analysis to elliptic and parabolic PDEs with rough coefficients and/or on rough domains.