Ever since I was young, Mathematics has been a passion of mine. This stems from my inquisitive nature and my love of problem solving. Furthermore, I have always wanted to contribute to the knowledge of humankind, inspiring me to study Mathematics at university and to go on further to teaching and research in the area. In particular, I have a particular love for the field of Partial Differential Equations. This passion was built up through my university education, starting with my bachelor’s degree in Mathematics at the University of Warwick, where I graduated 5th in the year out of 254 students with a high first and an overall percentage of 90.6%. Subsequently, I was awarded an academic award by the department for ‘outstanding academic achievement’. I then progressed on to studying for a masters in Pure Mathematics at the University of Cambridge, where I completed my thesis on Onsager’s conjecture under the supervision of Prof. Edriss Titi. The year was incredibly challenging, not only due to Covid but owing to the fact that the masters course at Cambridge, known famously as part III, is regarded as one of the hardest and most intensive Mathematics courses in the world. However, despite the difficulties that faced me, I really enjoyed my time there and overcame the challenges to be awarded a distinction for my masters and was bestowed a titular scholarship by my college Clare Hall for academic achievement in my masters.After the difficult period that everyone has faced due to covid over the past academic year, I decided I wanted to explore something different for a year before starting my PhD. Therefore, I successfully applied for a teaching assistant job at the African Institute for Mathematical Sciences (AIMS). AIMS is an institution set up by universities of the likes of Cambridge and Oxford and provides a challenging masters course in Mathematics, aimed to develop incredibly bright African students to become leaders in industry or academia. It is this course I will be helping teach. Over my time there, it is my job to help provide support to the lecturers, follow lectures, and arrange tutorials with the students and more. I also look forward to taking part in my own research and conducting self-study while there.
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Teaching AssistantAfrican Institute For Mathematical Sciences (Aims) Nov 2021 - Jul 2022Cape Town, Western Cape, South AfricaAIMS is Africa’s first and largest network of centres of excellence for postgraduate training in the mathematical sciences, enabling Africa’s youth to shape the continent through Science, Technology, Engineering and Mathematics. AIMS is in fact partnered with the University of Cambridge and many other world leading academic institutions across the world. AIMS has many highly respected visiting lecturers from around the world each year. As a teaching assistant, it is my responsibility to provide general assistance to the principal and professors in the university program, for example by participating in problem solving and computer lab courses, following group and individual tutorials as needed, contributing to the assessment of student performance on an ongoing basis, preparing instructional materials and additional exercises as needed. -
Undergraduate Research Summer SchemeUniversity Of Warwick Jun 2020 - Sep 2020Coventry, England, United KingdomMy research project was on using machine learning to approximate solutions to high dimensional PDE. The motivation for this is that general numerical analysis methods suffer from the problem of dimensionality and will not work for high dimensions. For my project, I looked at the algorithm proposed recently in a paper by Weinan E, Jiequn Han, and Arnulf Jentzen. Where they converted the PDE into an SDE, which they then discretised to form a stochastic control problem, which was the basis for the algorithm. I implemented the algorithm and studied the cases where the algorithm failed to work well. Moreover, I then went on to compare the convergence rates of the algorithm to standard numerical analysis for low dimensions. Furthermore, since the algorithm only dealt with PDE without boundary conditions, I came up with different ways to extend the algorithm in order to deal with PDE with boundary conditions. Finally, I compared the algorithm to other such machine learning algorithms, to see how we might improve the algorithm in the cases where it failed.
Sam Charles Education Details
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Mathematics -
Distinction -
First (90.6% Average)
Frequently Asked Questions about Sam Charles
What is Sam Charles's role at the current company?
Sam Charles's current role is DPhil Mathematics student at the University of Oxford.
What schools did Sam Charles attend?
Sam Charles attended University Of Oxford, University Of Cambridge, University Of Warwick.
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Sam Charles
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Sam Charles
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Sam Charles
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