William Turner

William Turner is a Lecturer at the School of Natural and Computing Sciences within the University of Aberdeen, where he bridges mathematics and music through interdisciplinary research and teaching. His work explores algebraic structures, cohomology, and similarity-based models in both mathematical and musical contexts.

• Academic Role: Lecturer in Mathematics
• Research Focus: Algebraic geometry, computational musicology, and representation theory
• Contact: w.turner@abdn.ac.uk

Research Interests: Dr. Turner’s research spans abstract algebra (e.g., cohomology of linear groups, extension algebras) and mathematical applications in music. Key areas include:

• Algebraic structures in musical composition
• Similarity-based generative music
• Timbre and tempo analysis
• Representation of consonance through algebra
• Rational number systems in tuning
• Computational methods for musical scales

Article Trends: His publications reveal a synthesis of algebraic research (e.g., GL2 cohomology, Hochschild cohomology) with computational musicology. From 2013–2020, his work increasingly integrated mathematical modeling into musical theory, focusing on algorithmic composition, scale structures, and cross-disciplinary applications of similarity principles.

Additional Contributions: He has developed audio examples and software tools to demonstrate mathematical concepts in music, including tone generation, timbre analysis, and tuning algorithms.