# Dr Derek Kitson

Lecturer in Pure Mathematics## Research Overview

Rigidity and flexibility of frameworks

Discrete geometry and combinatorics

Operator theory and functional analysis

## Current Teaching

Real Analysis

MSci dissertations supervisor

Group projects supervisor

Previous teaching:

- Topology and Fractals (2015-17)

- Calculus (2014-16)

- Engineering Mathematics (2014-15)

- Complex Analysis (2011-12)

- Metric spaces (2009-12)

- Mathematics for Scientists (2009-12)

- Analysis II (2008-09)

- Multivariable Calculus for Science (2008-10)

## Professional Role

Outreach officer

- Royal Institution Mathematics Masterclasses organiser

- Engineering Development Trust Headstart summer school organiser

- Contributer to a range of community days and schools events

Academic employability champion

- Supporting and promoting student employability

MAGIC: postgraduate courses in pure and applied mathematics

- Lancaster node representative and programme committee member

Academic tutor

- Supporting students on academic matters

## PhD Supervision Interests

I am interested in supervising projects in geometric and combinatorial rigidity (both theory and application areas). I am particularly interested in rigidity properties of periodic structures, rigidity under alternative metrics, and aspects which border analysis, operator theory and Banach space geometry. A good background in either combinatorics or analysis is sufficient to get started. For more information please contact me.

Selected Publications

Finite and infinitesimal rigidity with polyhedral norms

Kitson, D. 09/2015 In: Discrete and Computational Geometry. 54, 2, p. 390-411. 22 p.

Journal article

The rigidity of infinite graphs

Kitson, D., C. Power, S. 10/2018 In: Discrete and Computational Geometry. 60, 3, p. 531-557. 27 p.

Journal article

Infinitesimal rigidity for non-Euclidean bar-joint frameworks

Kitson, D., Power, S. 2014 In: Bulletin of the London Mathematical Society. 46, 4, p. 685-697. 13 p.

Journal article

The Taylor-Browder spectrum on prime C*-algebras.

Kitson, D. 03/2012 In: Integral Equations and Operator Theory. 72, 3, p. 403-418. 16 p.

Journal article

Operator ranges and spaceability

Kitson, D., Timoney, R.M. 15/06/2011 In: Journal of Mathematical Analysis and Applications. 378, 2, p. 680-686. 7 p.

Journal article

The Browder spectrum of an elementary operator

Kitson, D. 2011 In: Elementary operators and their applications . Basel : BirkhĂ¤user Verlag p. 17-24. 8 p.

Chapter (peer-reviewed)

On Browder tuples

Harte, R.E., Kitson, D. 2009 In: Acta Scientiarum Mathematicarum. 75, 3-4, p. 665-677. 13 p.

Journal article

Weyl's theorem and tensor products: a counterexample.

Harte, R.E., Kitson, D., Hernandez, C. 2011 In: Journal of Mathematical Analysis and Applications. 378, 1, p. 128-132.

Journal article

Ascent and descent for sets of operators

Kitson, D. 2009 In: Studia Mathematica. 191, 2, p. 151-161. 11 p.

Journal article

All Publications

IWOTA Lancaster 2020: International Workshop on Operator Theory and its Applications to be held at Lancaster from 17th to 21st August 2020 (Postponed until 16-20 August 2021)

01/09/2019 → 31/08/2020

Research

An operator-theoretic approach to graph rigidity

01/03/2019 → 31/08/2020

Research

Workshop on bond-node structures 2018

01/04/2018 → 31/07/2018

Research

Infinite bond-node frameworks

03/07/2017 → 02/07/2019

Research

Crystal Frameworks, Operator Theory and Combinatorics

01/09/2012 → 31/08/2014

Research

Geometric Constraint Systems: rigidity, flexibility and applications

Participation in conference

Analysis, Algebra and Geometry 2019

Oral presentation

Young Functional Analysts' Workshop 2019

Invited talk

EDT Headstart Summer School

Other

Bond-node structures: rigidity, combinatorics and chemistry

Participation in conference

Analysis seminar, King's College London

Invited talk

Campus in the City

Participation in workshop, seminar, course

Royal Institution Masterclasses

Participation in workshop, seminar, course

Fun Palaces 2017

Festival/Exhibition/Concert

EDT Headstart Summer School

School Engagement

International Workshop on Operator Theory and Applications 2017

Participation in conference

Applied Mathematics Seminar, University College Cork

Invited talk

Analysis Seminar, Newcastle University

Invited talk

Royal Institution Masterclasses

Participation in workshop, seminar, course

Fun Palaces 2016

Festival/Exhibition/Concert

EDT Headstart Summer School

School Engagement

Geometric rigidity theory and applications

Participation in conference

Geometric rigidity theory and applications, ICMS Edinburgh

Invited talk

Irish Mathematical Society Meeting 2016

Participation in conference

Campus in the City

Festival/Exhibition/Concert

Pure Mathematics colloquium, Queen's University Belfast

Participation in workshop, seminar, course

Fun Palaces

Festival/Exhibition/Concert

EDT Headstart Summer School

School Engagement

Advances in combinatorial and geometric rigidity

Participation in workshop, seminar, course

University College Dublin

Visiting an external academic institution

Geometric Rigidity Workshop

Participation in workshop, seminar, course

Royal Institution Masterclass

Participation in workshop, seminar, course

Analysis seminar, Trinity College Dublin

Invited talk

QOP Meeting in Leeds

Participation in workshop, seminar, course

Fun Palaces

Festival/Exhibition/Concert

Workshop on Making Models: Stimulating Research In Rigidity Theory And Spatial-Visual Reasoning

Participation in workshop, seminar, course

Geometric Rigidity One-Day Workshop

Participation in workshop, seminar, course

Irish Geometry Conference, NUI Galway

Invited talk

Seminar "Selected Topics in Mathematics", University of Liverpool

Invited talk

Geometric Rigidity One-Day Workshop

Participation in workshop, seminar, course

QOP meeting, Insitute of Mathematics, Polish Academy of Sciences, Warsaw

Invited talk

Analysis seminar, University of Glasgow

Invited talk

QOP Meeting in Lancaster, Banach and Operator Spaces

Participation in workshop, seminar, course

Geometric and topological graph theory, University of Bristol

Participation in workshop, seminar, course

NBFAS Meeting, University of Sheffield

Participation in workshop, seminar, course

Functional Analysis seminar, University of Oxford

Invited talk

NBFAS Meeting, Newcastle University

Participation in workshop, seminar, course

North Yorkshire Functional Analysis seminar, University of Leeds

Invited talk

Rigidity Theory: Progress, Applications and Key Open Problems

Participation in conference

Analysis seminar, King's College London

Invited talk

International Workshop on Operator Theory and Applications 2011

Participation in conference

Analysis seminar, Newcastle University

Invited talk

- Analysis and Probability
- Discrete Mathematics and Geometric Rigidity