Theory of Spintronics

我在2021年完成了变分法（M820）和解析数论（M823）模块，每个模块都达到了一个优秀的水平。在2022年，我获得了Maple高级数学方法（M833）和非线性常微分方程（M821）两门课程的优等生。在我今年的学习模块伽罗瓦理论（M838）和数学论文（M840）中，我将保持这一标准。在获得硕士学位之后，我的意图是在数学相关领域从事研究——甚至获得博士学位。去年夏天，英国开放大学（The Open University）向我提供了一笔奖学金，让我与本·梅斯特尔博士（Dr Ben Mestel）一起研究一个项目——“在保面积扭转图中构建一套计算机辅助证明程序”。我很高兴被这个项目录取，在熟悉了Julia编程语言，理解了所需的理论之后，我开始了这个项目的工作。我很快就明白了，这是我喜欢的工作，尽管有很多挑战。我喜欢编写涉及高级数学的代码，并解决我们共同面临的各种问题。我准备并向开放大学数学与统计学院的成员提交了一份工作总结。梅斯特尔博士对这项工作很满意，我们希望在不久的将来发表。当我表示有兴趣从事研究时，梅斯特尔博士建议我应该攻读博士学位，他说我问的问题很好，而且我具备在这样一个项目上取得成功的必要素质。有机会为MRAM技术做出贡献是非常令人兴奋的。安德烈·乌默斯基博士在隧道磁电阻理论及其在硬盘技术中的应用方面所取得的成就给我带来了灵感，这是一项重要的日常工程。作为一个有创造力的人，我相信我可以为这个新兴的技术领域做出有价值的贡献。我渴望更多地了解“非平衡系统”中的“层间交换耦合”，并且在硕士学习期间增加了我在应用数学和计算方面的知识，我希望有机会应用这些技能。

I completed the Calculus of Variations (M820) and Analytic Number Theory (M823) modules in the year of 2021, each to a level of Distinction. In 2022, I achieved a level of Distinction in both Advanced Mathematical Methods with Maple (M833)and Nonlinear Ordinary Differential Equations (M821). I am on track to maintain this standard in my modules of study this year, namely Galois Theory (M838), and the Dissertation in Mathematics (M840). Beyond the MSc, my intention is to undertake a research path - even obtaining a PhD - in a mathematically-related field.Last summer, I was offered a bursary by The Open University to work on a project with Dr Ben Mestel - 'Building a Suite of Routines for Computer-Assisted Proofs in Area-Preserving Twist Maps'. I was delighted to be accepted onto the programme, and after assimilating myself with the programming language Julia, as well as understanding the required theory, I began work on the program. It soon became clear to me this was work I enjoyed, despite the challenges, which were numerous. I enjoyed writing code involving high-level mathematics and solving the various problems we faced together. I prepared and presented a summary of the work carried out to members of the School of Mathematics and Statistics at The Open University. Dr Mestel was pleased with the work, which we are hoping to publish in the near future. When I expressed my interest to pursue a research path, Dr Mestel suggested that I should pursue a PhD, stating that I asked good questions, and that I possessed the necessary attributes to succeed on such a programme.The opportunity to undertake work contributing to the MRAM technology is extremely exciting. I am inspired by what Dr Andrey Umerski has achieved in his work on the theory of tunnelling magnetoresistance and its applications to hard disk technology, revolutionising an important everyday piece of engineering. As a creative person, I believe that I could make a valuable contribution to this emerging technological field. I am keen to learn more about "interlayer exchange coupling" in "out-of-equilibrium systems" and having increased my knowledge in applied mathematics and computing during my studies on the MSc, I would welcome the opportunity to apply these skills.