Dr Monika Kudlinska

MSc (Bristol), DPhil (Oxon)

Research Fellow; Director of Studies in Mathematics

Biography

I am the Meggitt Fellow and Director of Studies in Mathematics at Emmanuel College. Prior to this, I completed a DPhil in Mathematics at Magdalen College, Oxford.

I was born and spent early parts of my childhood in Poland. My family emmigrated from Poland to the UK in 2007, settling in a small village in South Wales. I was partially educated at a specialist music school in Manchester where I studied violin and piano, before enrolling in the undergraduate course in Mathematics at the University of Bristol.

Research

My research is in an area of pure mathematics known as geometric group theory, which is the study of the relationships between abstract geometric structures and their symmetries.

A group is an algebraic object designed to encode symmetries. In many areas of science, symmetries are used to study the structure and predict the behaviour of spaces and systems. The key insight of geometric group theory is that one can reverse this processs in order to deduce algebraic properties of abstract groups from the geometry of the spaces on which they act.

My work focuses on a class of groups known as algebraically fibered groups, which generalise groups of symmetries of certain fibered manifolds. My research aims to understand all the different possible fibered structures of a given group, whether certain features of a group can be ''read-off" from the fibering structure, and how such structures can be detected.

Email

• mak74@cam.ac.uk

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