Eigenvalues of functional difference operators associated to mirror curves
| Program start date | Application deadline |
| 2024-10-01 | - |
Program Overview
It combines mathematics and physics, offering advanced coursework, research opportunities, and collaboration with experts in the field. Graduates will be well-prepared for careers in academia and industry.
Program Outline
Eigenvalues of Functional Difference Operators Associated to Mirror Curves
Degree Overview:
- Investigate the intriguing connection between these operators and Calabi-Yau manifolds.
- Explore the potential applications of these operators in various fields, including quantum field theory and string theory.
- Develop expertise in spectral theory and its applications in various branches of mathematics.
Program Description:
This program is designed for highly motivated students with a strong background in mathematics and physics, particularly in analysis, differential equations, and algebraic geometry. Students will benefit from a stimulating environment that fosters collaboration and intellectual growth. The program includes:
- Advanced coursework: Students will take advanced courses in functional analysis, spectral theory, and mathematical physics.
- Research opportunities: Students will have the opportunity to conduct research under the supervision of experienced faculty.
- Seminars and workshops: Students will participate in weekly research seminars and workshops, where they will have the opportunity to present their work and receive feedback from leading experts in the field.
- Collaboration opportunities: Students will have the opportunity to collaborate with researchers from other universities and institutions.
Other:
- The program is offered by the Mathematical Sciences department at Loughborough University.
- The program is a full-time program, with a duration of 3 years.
- The program is open to students from all over the world.
- Students are expected to have a strong background in mathematics and physics, particularly in analysis, differential equations, and algebraic geometry.
Additional Notes:
- This program is a challenging and demanding program, but it is also a rewarding one.
- Students who successfully complete this program will be well-prepared for a variety of careers in both academia and industry.
UK fee £4,712 Full-time degree per annum International fee £20,250 Full-time degree per annum 2024-25 tuition fees are applicable to projects starting in October 2024, January 2025, April 2025 and July 2025. University fees and charges can be paid in advance and there are several methods of payment, including online payments and payment by instalment. Fees are reviewed annually and are likely to increase to take into account inflationary pressures.
Loughborough University
Overview:
Loughborough University is a public research university located in Loughborough, Leicestershire, England. It is renowned for its strong academic programs, particularly in sports science, engineering, and business. The university boasts a vibrant campus life and a strong focus on research and innovation.
Student Life and Campus Experience:
Loughborough University offers a diverse and engaging campus experience. Students can participate in a wide range of extracurricular activities, including sports, societies, and volunteering opportunities. The university has a strong sporting heritage and is home to world-class facilities. Students can also enjoy a vibrant social scene with numerous bars, restaurants, and events happening on campus.
Key Reasons to Study There:
World-class facilities:
Loughborough University boasts state-of-the-art facilities, including a dedicated sports village, a modern library, and cutting-edge research labs.Strong academic reputation:
The university is consistently ranked among the top universities in the UK for its academic excellence.Vibrant campus life:
Students can enjoy a lively and diverse campus community with numerous opportunities for social interaction and personal development.Focus on research and innovation:
Loughborough University is a leading research institution, with a strong focus on tackling real-world challenges.Excellent career prospects:
Graduates from Loughborough University are highly sought after by employers, with strong career prospects in various fields.Academic Programs:
Loughborough University offers a wide range of undergraduate and postgraduate programs across various disciplines, including:
Engineering:
Aerospace, Chemical, Civil, Electrical, Mechanical, and more.Business and Economics:
Accounting, Finance, Management, Marketing, and more.Sport Science:
Exercise Science, Sports Coaching, Sports Management, and more.Humanities and Social Sciences:
Psychology, Sociology, History, and more.Science and Technology:
Chemistry, Physics, Computer Science, and more.Other:
Loughborough University has a strong commitment to sustainability and social responsibility. The university is actively working towards achieving net-zero carbon emissions and promoting inclusivity and diversity within its community.
Entry Requirements:
UK Applicants:
- Applicants should have, or expect to achieve, at least a 2:1 Honours degree (or equivalent) in mathematics or physics.
- A relevant Master’s degree and/or a strong background in analysis are of advantage.
EU Applicants:
- Entry requirements for EU applicants are the same as for UK applicants.
International Applicants:
- Applicants should have, or expect to achieve, at least a 2:1 Honours degree (or equivalent) in mathematics or physics.
- A relevant Master’s degree and/or a strong background in analysis are of advantage.
- Applicants must meet the minimum English language requirements.
2024 Entry Requirements for Different Countries:
Note:
This information is provided as a general guide, and specific entry requirements may vary depending on the individual's qualifications and country of origin.
- Afghanistan: First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%)
- Albania: First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%)
- Algeria: First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%)
- Argentina: First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) (See context for full list of countries)
Language Proficiency Requirements:
Applicants whose first language is not English must meet the minimum English language requirements.
Important Notes:
- These entry requirements are for the academic year 2024. Entry requirements for subsequent years may be different.
