Representations of complex reflection groups and related objects
| Program start date | Application deadline |
| 2024-10-01 | - |
Program Overview
This PhD program delves into the theory and applications of complex reflection groups, providing advanced research skills in this area. Students explore the structure, representations, and applications of these mathematical objects, contributing to the advancement of knowledge and pursuing careers in academia, research, or industry.
Program Outline
PhD in Mathematics: Representations of Complex Reflection Groups and Related Objects
Degree Overview:
This program delves into the fascinating world of complex reflection groups and their associated objects.
Objectives:
- Deepen understanding of complex reflection groups and related objects.
- Develop advanced research skills in this area.
- Contribute to the advancement of knowledge in complex reflection groups and related areas.
- Become a skilled researcher, capable of independent and collaborative work.
Program Description:
The program is designed to provide a comprehensive and rigorous education in the theory and applications of complex reflection groups. It combines theoretical foundations with practical applications, equipping students with the necessary skills to become successful researchers in this field.
Outline:
The program curriculum covers a wide range of topics, including:
- Complex reflection groups and their properties
- Representations of complex reflection groups
- Hecke and Cherednik algebras
- Applications to other areas of mathematics, such as topology and number theory
Modules:
- Complex Reflection Groups: An in-depth exploration of the structure and properties of complex reflection groups.
- Representations of Complex Reflection Groups: A study of the different types of representations of complex reflection groups and their applications.
- Hecke and Cherednik Algebras: A comprehensive examination of these important mathematical objects and their connections to complex reflection groups.
- Applications of Complex Reflection Groups: An exploration of the diverse applications of complex reflection groups in various areas of mathematics.
Assessment:
Assessment methods include:
- Written examinations
- Oral presentations
- Research thesis
- Research proposal Assessment criteria include:
- Depth of understanding of the subject matter
- Originality and creativity in research
- Clarity and effectiveness of communication
Teaching:
The program is taught by a team of internationally recognized experts in complex reflection groups and related fields. The teaching methods include:
- Lectures
- Seminars
- Group discussions
- Individual supervision
Careers:
Graduates of the program are well-positioned for careers in academia, research, and industry. Potential career paths include:
- Research fellow
- Postdoctoral researcher
- Lecturer
- Professor
- Data scientist
- Quantitative analyst
Other:
- The program offers the opportunity to participate in research conferences and workshops.
- Students have access to a dedicated research library and computing facilities.
- The program provides a supportive and stimulating environment for research.
UK fee: £4,712 Full-time degree per annum International fee: £20,250 Full-time degree per annum 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 and EU students:
- Applicants should have, or expect to achieve, at least a 2:1 Honours degree or equivalent in a mathematics-related degree.
International students:
| Country/Region | Entry Requirements | |---|---| | 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%) | | Armenia | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Australia | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Austria | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Azerbaijan | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Bahamas | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Bahrain | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Bangladesh | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Barbados | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Belarus | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Belgium | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Belize | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Benin | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Bermuda | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Bolivia | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Bosnia and Herzegovina | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Botswana | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Brazil | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Brunei | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Bulgaria | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Burundi | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Cambodia | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Cameroon | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Canada | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Chile | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | China |
- Shanghai Rank Top 250: 83%
- Shanghai Rank 251-500: 88%
- Shanghai Rank 501+: 92% | University | Shanghai Rank | Equivalent Final Mark | |---|---|---| | Affiliated colleges (Universities in the top 250 Shanghai rankings) | Top 250 | 75%-84% | | Affiliated colleges (Universities ranked 251-500 in the Shanghai rankings) | 251-500 | 80%-87% | | Affiliated colleges (Universities ranked above 500 in the Shanghai rankings) | 501+ | 80%-87% | | Schools | Equivalent Final Mark | |---|---| | School of Business and Economics | 80%-87% | | All other programmes | 80%-87% | | University | Shanghai Band | Consider as in | |---|---|---| | Beijing Film Academy | Top 250 | Top 250 | | Capital University of Physical Education and Sports | Top 250 | Top 250 | | Central Academy of Drama | Top 250 | Top 250 | | Central Conservatory of Music | Top 250 | Top 250 | | China Academy of Art | Top 250 | Top 250 | | China Conservatory of Music | Top 250 | Top 250 | | Guangzhou Sport University | 251-500 | 251-500 | | Harbin University of Finance (Harbin Finance University) | 251-500 | 251-500 | | Northwest University of Political Science and Law | Top 250 | Top 250 | | Shanghai Customs College | Top 250 | Top 250 | | Tianjin Sport University | Top 250 | Top 250 | | Colombia | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Costa Rica | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Croatia | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Cuba | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Cyprus | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Czech Republic | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Denmark | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Dominican 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(70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | South Korea | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Spain | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Sri Lanka | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Sudan | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Sweden | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Switzerland | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Syria | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Taiwan | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Tajikistan | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Tanzania | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Thailand | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Trinidad and Tobago | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Tunisia | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Turkey | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Turkmenistan | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Uganda | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Ukraine | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | United Arab Emirates | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | United States of America | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Uruguay | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Uzbekistan | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Venezuela | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Vietnam | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Zambia | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) | | Zimbabwe | First-class honours (70%) / Upper second-class honours (60%) / Lower second-class honours (50%) |
Language Proficiency Requirements:
Applicants whose first language is not English are required to meet the following minimum English language proficiency requirements:
- IELTS: 7.0 overall, with no score below 6.0 in any sub-test
- TOEFL: 100 overall, with a minimum of 24 in each section
- PTE Academic: 65 overall, with no score below 54 in any of the communicative skills sections
