PhD scholarship in Algebraic Function Fields and Coding Theory – DTU Compute
Danmarks Tekniske Universitet
Job Description:We are looking for a bright and motivated PhD student for a 3-year fully funded PhD position starting 1 April 2025. The project is financed by Villum Fonden and it is part of the Villum Young Investigator project CREATE “algebraiC cuRvEs in informAtion ThEory: a treasure yet to discover”. It is an excellent opportunity to be involved in advanced research on algebra and coding theory, particularly algebraic function field theory and Algebraic-Geometry codes.The project CREATE aims to investigate the full potential of algebraic curves and algebraic function field techniques in relation with two very important applications: network communication (rank-metric codes) and distributed cloud storage (locally recoverable codes). To investigate this potential, theoretical results about function fields with many rational places and automorphisms are necessary. The purpose of the PhD position is to construct and classify maximal function fields (particularly introducing the invariant a-number as a parameter to distinguish function fields) and function fields with many automorphisms.Responsibilities
Upon joining this project, you will become a member of the algebra group within the Section for Mathematics. You will also join the DTU Compute PhD school and take part in its courses and activities. As part of your PhD training and research activities, you will have research stays at the academic collaborators’ universities.The PhD position will involve:
Your duties will also include some teaching assistance work at DTU, and (possibly) the co-supervision of BSc and MSc student projects related to your research.Qualifications
To be considered for the position, you need to have background in algebra (group theory, ring/field theory and preferably function field theory) and basic coding theory. You will need to document these skills by listing the relevant university courses you took, or the relevant experience you have.You must have a two-year master’s degree (120 ECTS points) or a similar degree with an academic level equivalent to a two-year master’s degree. You can apply prior to obtaining the degree, providing the expected graduation date.Approval and Enrolment
The scholarship for the PhD degree is subject to academic approval, and the candidate will be enrolled in one of the general degree programmes at DTU. For information about our enrolment requirements and the general planning of the PhD study programme, please see .Assessment
The assessment of the applicants will be made by the main supervisor Associate Professor Maria Montanucci, co-supervisor Professor Peter Beelen and hiring manager (and head of the section for Mathematics) Professor Morten Brøns. The assessment of the applicants will take place in January/February 2025.We offer
DTU is a leading technical university globally recognized for the excellence of its research, education, innovation and scientific advice. We offer a rewarding and challenging job in an international environment. We strive for academic excellence in an environment characterized by collegial respect and academic freedom tempered by responsibility.
You may apply prior to obtaining your master’s degree but cannot begin before having received it.Applications received after the deadline will not be considered.All interested candidates irrespective of age, gender, race, disability, religion or ethnic background are encouraged to apply.DTU Compute
DTU Compute is a unique and internationally recognized academic environment spanning the science disciplines mathematics, statistics, computer science, and engineering. We conduct research, teaching and innovation of high international standard – producing new knowledge and technology-based solutions to societal challenges. We have a long-term involvement in applied and interdisciplinary research, big data and data science, artificial intelligence (AI), internet of things (IoT), smart and secure societies, smart manufacturing, and life science.Technology for people
DTU develops technology for people. With our international elite research and study programmes, we are helping to create a better world and to solve the global challenges formulated in the UN’s 17 Sustainable Development Goals. Hans Christian Ørsted founded DTU in 1829 with a clear mission to develop and create value using science and engineering to benefit society. That mission lives on today. DTU has 13,500 students and 6,000 employees. We work in an international atmosphere and have an inclusive, evolving, and informal working environment. DTU has campuses in all parts of Denmark and in Greenland, and we collaborate with the best universities around the world.
Kongens Lyngby, Hovedstaden – Lyngby, Midtjylland
Fri, 11 Oct 2024 00:34:49 GMT
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