通过在埃塞克斯（Essex）攻读纯数学博士学位，您将有机会研究诸如半群论，群论（尤其是演讲）以及离散数学的各个方面，例如图论。我们有许多在这些领域具有专长的工作人员愿意指导博士生，并且邀请您与我们的部门联系以讨论潜在的研究领域。我们的员工坚决致力于研究和教学。他们出版了多本备受好评的教科书，并在各自的专业领域处于世界领先地位，其论文发表在学术期刊上，例如：线性代数及其应用，离散算法杂志，Semigroup论坛，Acta Arithmetica和《电子组合杂志》 。
Undertaking our PhD Pure Mathematics gives you the opportunity to investigate such areas as: algebraic geometry group theory semigroup theory combinatorics and differential equations You are also invited to contact our School of Mathematics, Statistics and Actuarial Science to discuss other potential research areas. Our staff are strongly committed to research and teaching. They have published several well-regarded text books and are world leaders in their individual specialisms, with their papers appearing in learned journals such as Journal of Algebra, Journal of Pure and Applied Algebra, Acta Arithmetica, Discrete Mathematics, and Journal of Group Theory. Our School of Mathematics, Statistics and Actuarial Science is genuinely innovative and student-focused. Our research groups are working on a broad range of collaborative areas tackling real-world issues. Our data scientists carefully consider how not to lie, and how not to get lied to with data. Interpreting data correctly is especially important because much of our data science research is applied directly or indirectly to social policies, including health, care and education. We do practical research with financial data (for example, assessing the risk of collapse of the UK's banking system) as well as theoretical research in financial instruments such as insurance policies or asset portfolios. We also research how physical processes develop in time and space. Applications of this range from modelling epilepsy to modelling electronic cables. Our optimisation experts work out how to do the same job with less resource, or how to do more with the same resource. Our pure maths group are currently working on two new funded projects entitled “The Calabi problem for smooth Fano threefolds” and “Stability of Brunn-Minkowski inequalities and Minkowski type problems for nonlinear capacity”. We also do research into mathematical education and use exciting technologies such as electroencephalography or eye tracking to measure exactly what a learner is feeling. Our research aims to encourage the implementation of ‘the four Cs' of modern education, which are critical thinking, communication, collaboration, and creativity. We offer an MSD and MPhil in this subject, and both part-time and full-time research study are available. You can also start this course in either October, January or April.