The London School of Geometry and Number Theory is a research group within the Department of Mathematics at University College London (UCL). It is dedicated to the study of fundamental problems in geometry, number theory, and related fields, with a focus on both pure and applied research.
The MPhil/PhD program in Geometry and Number Theory at UCL is designed to provide students with advanced training in these fields, as well as the opportunity to conduct original research in a supportive and intellectually stimulating environment. The program typically takes 3-4 years to complete and is available on a full-time or part-time basis.
Students in the program will work closely with a supervisor or a team of supervisors who are experts in their area of research. They will also have access to a wide range of seminars, conferences, and other events organized by the London School of Geometry and Number Theory and the Department of Mathematics at UCL.
The program consists of coursework in the first year, which is designed to provide students with a strong foundation in the core areas of geometry and number theory. This is followed by an extended period of research, during which students will conduct independent research under the supervision of their advisors. Finally, students will be required to write a thesis summarising their research findings and defend their work in a viva voce examination.
Strong research focus: The program is designed to prepare students for research careers in geometry and number theory. The programme provides a comprehensive understanding of the theoretical and applied aspects of these fields and focuses on the latest research developments.
Flexibility: The program can be completed on a full-time or part-time basis, allowing students to balance their research with other commitments.
Expert supervision: Students are assigned a supervisor who is an expert in their field of research. Supervisors provide guidance, support and feedback to ensure that students are making good progress in their research.
Access to resources: Students have access to a wide range of resources, including seminars, workshops, and conferences, to facilitate their research and learning.
High-quality teaching: The program is delivered by leading academics in the field, who are experts in their research areas and have a passion for teaching.
Interdisciplinary approach: The program takes an interdisciplinary approach to research, allowing students to explore the interface between geometry, number theory, and related fields.
Career prospects: Graduates of the programme are well-equipped for careers in academia, industry, or government research, and are prepared for postdoctoral research positions.
There is no specific entrance exam for this program. However, applicants are expected to hold a relevant master's degree and demonstrate their research potential through their application materials and interview.
Admission to the programme is highly competitive and based on academic excellence and research potential. Applicants are required to submit their academic transcripts, letters of recommendation, a research proposal, and a personal statement. Shortlisted applicants will be invited for an interview to further assess their suitability for the programme.
Applicants are required to have a relevant master's degree in mathematics or a related field, with a minimum grade of distinction or equivalent. They should also demonstrate research potential through their previous academic and research experience.
The programme typically takes 3-4 years to complete on a full-time basis. Part-time options are also available.
Selection Criteria: Applicants are assessed on the basis of their academic excellence, research potential, and fit with the research interests of the London School of Geometry and Number Theory. The selection process includes a review of academic transcripts, research proposal, letters of recommendation, and a personal statement, followed by an interview.
Applicants are required to submit an online application through the UCL website, providing details of their academic qualifications, research experience, and personal statement. They should also provide the names and contact information of their referees, who will be contacted to submit their letters of recommendation. Applicants should ensure that their application is complete and submitted by the deadline.
Overall, the MPhil/PhD programme in Geometry and Number Theory at the London School of Geometry and Number Theory is a highly competitive and rigorous programme designed for students who are passionate about research in these fields. Applicants are encouraged to review the programme's admission requirements carefully before applying.
The application form for the MPhil/PhD program in Geometry and Number Theory can be accessed online through the UCL website.
The application process typically involves submitting an online application form, academic transcripts, a research proposal, a personal statement, and letters of recommendation. Shortlisted applicants will be invited for an interview to further assess their suitability for the program.
The tuition fee for the MPhil/PhD program in Geometry and Number Theory at UCL varies depending on the mode of study and duration of the program. Information about current fees can be found on the UCL website.
The syllabus for the programme is designed to provide students with a strong foundation in geometry and number theory. The programme typically includes coursework in the first year, followed by an extended period of research under the supervision of a faculty advisor. The exact syllabus may vary depending on the research interests of the student and the faculty advisor.
Advanced Geometry:
Number Theory:
Mathematical Analysis:
Algebraic Structures:
Logic and Set Theory:
Research Methodologies:
Seminar Courses:
Thesis Work:
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Graduates of the MPhil/PhD program in Geometry and Number Theory are well-equipped for careers in academia, industry, or government research. Salaries for research positions in these fields vary depending on the location, experience, and job responsibilities.
University Professor/Researcher: You can work as a professor or researcher in a university or research institution, conducting advanced research in geometry, number theory, or related fields. This role involves teaching, mentoring students, and publishing research papers.
Mathematical Consultant: You can work as a consultant for companies or government agencies that require expertise in mathematical modeling, data analysis, and problem-solving. This role may involve working on projects related to cryptography, computer algorithms, or optimization.
Quantitative Analyst: In the finance industry, you can work as a quantitative analyst, using your mathematical skills to analyze financial data, develop models for pricing and risk management, and make informed investment decisions.
Data Scientist: With a strong background in mathematics and analytical thinking, you can pursue a career as a data scientist, analyzing large datasets, building predictive models, and deriving insights to drive business decisions.
Software Engineer (with focus on Mathematical Software): You can work as a software engineer specializing in mathematical software development, creating algorithms, libraries, and tools for mathematical computation, simulation, and visualization.
Actuary: Actuaries use mathematical and statistical techniques to assess risk in insurance, finance, and other industries. With a PhD in Geometry and Number Theory, you can pursue a career as an actuary, working on complex risk analysis and financial modeling.
Research Scientist: You can work as a research scientist in industries such as aerospace, technology, or healthcare, where mathematical modeling and analysis are crucial for innovation and problem-solving.
Graduates of the program are prepared for research careers in geometry and number theory. They are also well-equipped for postdoctoral research positions or other advanced research positions in academia, industry, or government research.
The London School of Geometry and Number Theory is one of the top research groups in these fields, with a strong focus on both pure and applied research. Other top colleges for research in geometry and number theory include the University of Cambridge, the University of Oxford, and the École Polytechnique Fédérale de Lausanne.
Q.1 - What is the procedure for Ph.D.? Admission to the University?
ANSWER: - The Ph.D. and M.Phil. programs of prestigious Universities are conducted and guided strictly as per the provisions and regulations dictated by the UGC (Minimum Standards and Procedure for Award of Ph.D./M.Phil. Degrees) (1st Amendment) Regulations, 2018 and subsequent amendments. The entire procedure for admission to the research programs encompasses a Research Entrance Exam (RET) and then an Interview/Viva Voce. The performance of a candidate in the RET is given 70% weightage, and the remaining 30% weightage is given to his/her performance at the Interview.
Q.2 - What are the modes of pursuing M.Phil. & Ph.D. programs at the University?
ANSWER: -Both the full-time and part-time modes are available at University for pursuing its Ph.D. programs and only the full-time mode is available for M.Phil. program in the desired subjects/fields. These highly-qualitative and prolific research programs are available in a rather broad range of fields/subjects. At University, the minimum time duration of the M.Phil. and Ph.D. programs is 1.5 Years and 3 Years, respectively, in general.
Q.3 - Are the Ph.D. and M.Phil. Degrees granted by any University valid abroad?
ANSWER: -Yes, of course. If the University is properly recognized under section 2(f) of the UGC Act of 1956 and is a prestigious member of the AIU (the Association of Indian Universities). It is an M.Phil. and Ph.D. degrees granted in various fields/subjects are duly valid across India and the world.
Q.4 - What are the main eligibility criteria for participating in the University Research Entrance Exam (RET)?
ANSWER: -The following are the main eligibility conditions for participating in the RET: - A rigorous Master’s Degree in the proposed subject/field obtained from any recognized university/institution located in India or abroad, with a minimum 55% marks in aggregate or an equivalent grade. Candidates belonging to SC/ST/OBC/Differently-abled categories are given a 5% relaxation in respect of this eligibility criterion. Candidates with an M.Phil. degree in the proposed field/subject, or have qualified for the UGC (JRF) Examinations/ NET/ SET/ SELT, etc., will be allowed to appear directly for the interview, without appearing in the RET. Impressive academic records, and any prior experience in research work, will be given additional advantages.
Q.5 - What relaxations are granted to the reserved categories for Ph.D.? Admission to the University?
ANSWER: - Candidates belonging to the categories of SC/ST/OBC (Non-Creamy layer)/Differently-Abled, and so on, are given all relaxations prescribed by the Govt. of India and the UGC. These relaxations are provided in form of 5% reduced marks for them at post-graduation, and also in the minimum qualifying marks at RET. Thus, candidates belonging to these categories only need to score a minimum of 45% marks at RET, to qualify for the final interview.
Q.6 - How will be the pattern of RET?
ANSWER: - The syllabus or pattern of RET consists of subject-specific matters, research methodology, and aptitude (covering logical reasoning, numerical ability, analytical reasoning, statistics, etc.).Thus, RET will contain a total of 70 multiple-choice questions (MCQs).
Q.7 - Are M.Phil. Holders/UGC- NET (including JRF)/ UGC-CSIR NET (including JRF)/ SLET/ GATE exempted from appearing at RET?
ANSWER: - Yes. The holders of M.Phil. degrees in their respective fields/subjects are made exempt from appearing in RET. The same is the situation in cases of aspiring candidates who have qualified exams like UGC-NET (including JRF)/ UGC-CSIR NET (including JRF)/ SLET/ GATE, etc.
Q.8 - How is the application fee paid?
ANSWER: - The Application Fee (i.e. the fee for getting participated in RET) can be paid online or offline, like the Application Form. Payment Modes: DD (in Favor of the University) / NEFT/ Cash Deposit.
Q.9 - Do working candidates require to obtain NOC from employers for pursuing research at any University?
ANSWER: - Yes, necessarily. Working Professionals who are interested in research at any University are required to obtain the NOC (No Objection Certificate) from their respective employers, in order to avert any intrusion ever during the entire doctoral course.
Q.10 - Does an M.Phil. holder require to undergo Ph.D. coursework?
ANSWER: - Yes. M.Phil. holders are again required to undergo the coursework in Ph.D. at some Universities. However, their prior knowledge in the field/subject will be very supportive to them for learning and performing efficiently during the Ph.D. program.
Q.11 - Can I pay the yearly program/course fee in installments?
ANSWER: - Yes, you can pay the yearly course fee as many as in two installments, but well within the yearly session.
Q.12 - Does Any University provide any scholarship or stipend to pursuing scholars?
ANSWER: - Yes, of course. Many Universities offer scholarships as well as stipends to meritorious and talented candidates who undertake research studies at the University. Scholarships are granted to those candidates who come under the top 21 by scoring higher marks in RET and interviews. And, stipends are provided to those scholars who also give lectures to UG or PG students at the University, in addition to doing their Ph.D. coursework. The amount of the monthly stipend will be commensurate with the candidate’s qualifications and capabilities and may go up to Rs. 20,000.
Q.13 - What other many facilities are provided to research scholars at the University Campus?
ANSWER: - All necessary and constructive resources, amenities, and facilities are offered by well-established and prestigious universities to research scholars in various streams/subjects. These facilities include the following - spacious and peaceful study rooms, erudite and well-experienced academicians and research experts, Wi-Fi and diverse IT devices, state-of-the-art laboratories, well-stocked libraries, lavish R&D amenities, separate amenities for lodging and foods for male and female candidates, peaceful and constructive environment within the university campus, and many other comforting and convenient facilities and services.