Killian O'Brien

Dr. Killian O'Brien is a Senior Lecturer in Mathematics at Manchester Metropolitan University, affiliated with the School of Computing and Mathematics. His expertise lies in knot theory and algebraic topology, with a focus on computational methods involving polynomial rings. He holds a PhD from Durham University (2002) and a BA from Trinity College Dublin (1998), where he received the 1998 Bishop Law Prize. He is a Fellow of the Higher Education Academy and teaches using tools like Python and SageMath.

Education:

• BA Mathematics, Trinity College Dublin (1998)
• PhD Mathematics, Durham University (2002)
• PGCert Academic Practice, Open University (2012)

Research Interests: Dr. O'Brien's work centers on knot theory, particularly the application of polynomial ring algorithms to study Seifert surfaces and Alexander ideals. His research blends traditional topological concepts with computational techniques, emphasizing algorithmic approaches to knot invariants.

Awards:

• Bishop Law Prize (1998)

Advising & Grants: No advisees or grant details are listed in the provided material. His role emphasizes teaching and foundational research in mathematics.

Labs/Teams: No specific laboratory or team affiliations mentioned.