School of Mathematical Sciences

Algebra and Analysis

Member of staff writing algebra on a whiteboard


The Algebra subgroup deals with relationships and operations and structures that underpin other areas such as geometry, mathematical physics and computer science.

Research includes:

  • Algebraic cobordism
  • Combinatorial and geometric group theory
  • Commutative algebra and invariant theory
  • Milnor K -theory
  • Nonassociative algebras
  • Quadratic forms and forms of higher degree
  • Quadratic and hermitian lattices

Stephen Scully, a PhD student with Langley and Vishik, was awarded the prestigious LMS Cecil King Travel Scholarship.

The University of Nottingham is part of the Applied Algebra and Geometry research network. This network brings together UK academics who are interested in applications of algebra and geometry and related fields. The scope extends to computational algebra for applications including data-science, biology, medicine, engineering and physics.


The Analysis subgroup focuses on the mathematical description of natural phenomena. Research includes: 

  • Banach algebras 
  • Calculus of variations and PDE 
  • Complex analysis  
  • Functional analysis 
  • Complex dynamics 
  • Data and image analysis 

The Analysis subgroup has resolved prominent long-standing conjectures such as those of Hayman (1959) and Wiman (1911). 


Group Members


Thinking of joining us? 

We are keen to create an environment which supports all staff members by providing:



Dr Alexander Vishik


School of Mathematical Sciences

University of Nottingham
University Park

t: +44 (0) 115 95 14940


School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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