PhD in Categorification In Representation Theory Miemietzvu26Emp

Applications for the Apr 2027 intake are open until Jan 31, 2027.

The School of Engineering, Mathematics and Physics at the University of East Anglia offers a rigorous environment for doctoral research, situated within a city frequently lauded for its high quality of life. This PhD project, supervised by Professor Vanessa Miemietz, delves into the transformative field of categorification, which has fundamentally reshaped representation theory over the past quarter-century.

By shifting the focus from linear maps on vector spaces to the actions of monoidal or 2-categories on other categories, this research explores the deep structural information hidden within algebraic systems. This methodology has been instrumental in landmark mathematical achievements, including the proof of the Kazhdan—Lusztig conjectures and Broué’s abelian defect group conjecture.

Research Scope and Focus

The project is designed for candidates with a robust background in algebra and representation theory who are eager to tackle open questions in higher representation theory. Scholars will:

• Investigate specific examples of categorification to uncover new properties of algebras.
• Work under expert supervision to address current gaps in the general theory of higher representations.
• Develop advanced analytical skills in category theory and its application to complex algebraic structures.

This is an intensive research degree requiring a strong foundation in the field, with additional knowledge of category theory considered a significant advantage for prospective applicants.

University of East Anglia, Norwich is a university in the United Kingdom, founded in 1963, with 2820 international students among its 16872 total students.

The university has 400 programs, covering various subjects and research areas, allowing students to explore their interests.

Norwich provides a great location for students, with a rich history and cultural events to enjoy outside of campus.