Dr Derek Kitson
More information
Publications:
- S. Dewar, E. Kastis, D. Kitson, W. Sims, Edge-length preserving embeddings of graphs between normed spaces, Journal of Graph Theory 112 (2026), 491-506. doi
- J. Cruickshank, S. Dewar, D. Kitson, Algebraic connectivity in normed spaces, Linear Algebra and its Applications 739 (2026), 10-42. doi
- S. Dewar, D. Kitson, Rigid graphs in cylindrical normed spaces, SIAM Journal on Discrete Mathematics 39 (2025), no. 3, 1545-1567. doi
- B. G. Chen, J. Cruickshank, D. Kitson, Block-and-hole graphs: Constructibility and (3, 0)-sparsity, Mathematical Proceedings of the Royal Irish Academy 124A (2024), 53–69. doi
- J. Cruickshank, E. Kastis, D. Kitson, B. Schulze. Braced triangulations and rigidity. Discrete and Computational Geometry. 71, 1238–1275 (2024). doi
- J. Cruickshank, D. Kitson, S. C. Power, Q. Shakir. Topological inductive constructions for tight surface graphs. Graphs and Combinatorics. 38, 169 (2022). 25p. doi
- D. Kitson, S. C. Power. The rigidity of infinite graphs II. Graphs and Combinatorics. 38 (2022), no. 3, 83. 23p. doi
- S. Dewar, D. Kitson, A. Nixon. Which graphs are rigid in lpd? Journal of Global Optimization. 83 (2022), no. 1, 49–71. doi
- G. Badri, D. Kitson, S. C. Power. Crystal flex bases and the RUM spectrum. Proceedings of the Edinburgh Mathematical Society. 64(4) (2021), 735-761. doi
- E. Kastis, D. Kitson, J. McCarthy. Symbol functions for symmetric frameworks. Journal of Mathematical Analysis and Applications 497 (2021), no. 2, 124895. 24p. doi
- D. Kitson, A. Nixon, B. Schulze. Rigidity of symmetric frameworks in normed spaces. Linear Algebra and Its Applications 607 (2020), 231-285. doi
- D. Kitson, R. H. Levene. Graph rigidity for unitarily invariant matrix norms. Journal of Mathematical Analysis and Applications 491 (2020), no. 2, 124353. 30p. doi
- K. Clinch, D. Kitson. Constructing isostatic frameworks for the l1 and l∞-plane. Electronic Journal of Combinatorics 27 (2020), no. 2, #P2.49. 21p. doi
- E. Kastis, D. Kitson, S. C. Power. Coboundary operators for infinite frameworks. Mathematical Proceedings of the Royal Irish Academy, 119A (2019), no. 2, 93–110. doi
- J. Cruickshank, D. Kitson, S. C. Power. The generic rigidity of a partially triangulated torus. Proceedings of the London Mathematical Society 118 (2019), no. 5, 1277–1304. doi
- D. Kitson, S. C. Power. The rigidity of infinite graphs. Discrete and Computational Geometry 60 (2018), no. 3, 531–557. doi
- D. Kitson and B. Schulze. Motions of grid-like reflection frameworks. Journal of Symbolic Computation 88 (2018), 47–66. doi
- D. Kitson. Rigidity with polyhedral norms. In: Sitharam, M., St. John, A., Sidman, J. (eds) Handbook of geometric constraint systems principles, 525–541, Discrete Math. Appl. (Boca Raton), CRC Press, Boca Raton, FL, 2018. doi
- J. Cruickshank, D. Kitson, S. C. Power. The generic rigidity of triangulated spheres with blocks and holes. Journal of Combinatorial Theory, Series B., (2017), no. 122, 550–577. doi
- D. Kitson and B. Schulze. Symmetric isostatic frameworks with l1 or l-infinity distance constraints. Electronic Journal of Combinatorics (2016), P4.23. doi
- D. Kitson. Finite and infinitesimal rigidity with polyhedral norms. Discrete and Computational Geometry 54 (2015), no. 2, 390–411. doi
- D. Kitson and B. Schulze. Maxwell-Laman counts for bar-joint frameworks in normed spaces. Linear Algebra and its Applications 481 (2015), 313–329. doi
- D. Kitson and S. C. Power. Infinitesimal rigidity for non-Euclidean bar-joint frameworks. Bulletin of the London Mathematical Society 46 (2014), no. 4, 685–697. doi
- G. Badri, D. Kitson, S. C. Power. The almost periodic rigidity of crystallographic bar-joint frameworks. Symmetry 6 (2014), no. 2, 308–328. doi
- D. Kitson. The Taylor-Browder spectrum on prime C*-algebras. Integral Equations and Operator Theory 72 (2012), no. 3, 403–418. doi
- D. Kitson and R. M. Timoney. Operator ranges and spaceability. Journal of Mathematical Analysis and Applications 378 (2011), 680-686. doi
- D. Kitson. The Browder spectrum of an elementary operator. In: Curto, R., Mathieu, M. (eds) Elementary Operators and Their Applications. Operator Theory: Advances and Applications, vol 212. Springer, Basel, 2011. doi
- R. E. Harte, C. Hernandez, D. Kitson. Weyl’s theorem and tensor products: A counterexample. Journal of Mathematical Analysis and Applications 378 (2011), 128–132. doi
- R. E. Harte, D. Kitson. On Browder tuples. Acta Sci. Math. (Szeged) 75 (2009), 665–677. url
- D. Kitson. Ascent and descent for sets of operators. Studia Mathematica 191 (2009), no. 2, 151–161. doi
Projects:
- IWOTA Lancaster 2020, EPSRC Standard Grant
- An operator-theoretic approach to graph rigidity, EPSRC New Investigator Award
- Infinite bond-node frameworks, EPSRC Standard Grant
- Geometry of auxetic materials, EPSRC Vacation Internship
- Workshop on bond-node structures, Institute for Mathematics and its Applications Small Grant Scheme
- Workshop on Geometric Rigidity, London Mathematical Society Conference Grants Scheme
- New approaches in the spectral theory of linear operators, Royal Irish Academy Mobility Grant Scheme
Memberships:
- Irish Mathematical Society, Secretary
- Institute of Mathematics and its Applications, Fellow and Chair of Irish Branch
- London Mathematical Society, Member
- Physical, Chemical and Mathematical Sciences Committee of the Royal Irish Academy, Member
Postgraduate supervision:
- Dr Sean Dewar, Lancaster University 2015-19. Sean completed his PhD thesis on The rigidity of countable frameworks in normed spaces. He is currently a Senior Postdoctoral Fellow in Mathematics at KU Leuven. Previously, Sean held positions as a Heilbronn Research Fellow at the University of Bristol, as a research scientist at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) in Linz and as a postdoctoral fellow at the Fields Institute in Toronto.
Enquiries regarding postgraduate study in mathematics are very welcome.
Selected Talks:
- ICMS Edinburgh, Rigid structures in algebraic combinatorics and algebraic statistics, 18th May 2026
- ICERM Brown University, Geometry of Materials, 8th April 2025
- DCU-UCD Discrete Mathematics seminar, 19th March 2025
- Johann Radon Institute for Computational and Applied Mathematics (RICAM), Special Semester on Rigidity and Flexibility, 5th March 2024
- University of Liverpool, Selected Topics in Mathematics. (Online). 6th December 2023
- Lancaster University, Graph Rigidity and Applications, 19th April 2023
- Maynooth University, Departmental Colloquium. 30 November 2022
- NUI Galway, 24th Conference of the International Linear Algebra Society. 20 June 2022
- Lancaster University, International Workshop on Operator Theory and its Applications. (Online). 19 August 2021
- Fields Institute, Toronto, Workshop on progress and open problems in rigidity theory. (Online). 23 February 2021
- Washington University in St Louis, Departmental Colloquium. 19 September 2019
- University of Bern, SIAM Conference on Applied Algebraic Geometry. 11 July 2019
- Lancaster University, Geometric Constraint Systems: Rigidity, flexibility and applications. 14 June 2019
- Trinity College Dublin, Analysis, Geometry and Algebra. 8 May 2019
- Leeds University, Young Functional Analysts’ Workshop. 4 April 2019
- King’s College London, Analysis Seminar. 31 May 2018
- TU Chemnitz, International Workshop on Operator Theory and its Applications. 17 August 2017
- Lancaster University, Bond-node structures: Rigidity, combinatorics and materials science. 9 June 2017
- University College Cork, Applied Mathematics Seminar. 16 February 2017
- Newcastle University, Analysis Seminar. 7 February 2017
- International Centre for Mathematical Sciences, Edinburgh, Workshop on Geometric Rigidity Theory and Applications. 2 June 2016
- Trinity College Dublin, Irish Mathematical Society Annual Meeting. 16 April 2016
- Queen’s University Belfast, Pure Mathematics Colloquium. 13 November 2015
- Banff International Research Station, Advances in Combinatorial and Geometric Rigidity Theory. 14 July 2015
- University College Dublin, Lectures on Geometric Rigidity. 18-19 June 2015
- Lancaster University, Workshop on Geometric Rigidity. 11 June 2015
- Trinity College Dublin, Analysis Seminar. 24 February 2015
- Leeds University, Quantum groups, operators and non-commutative probability. 8 January 2015
- Fields Institute, Toronto, Workshop on Making Models. 5 August 2014
- Lancaster University, Geometric Rigidity Workshop. 5 June 2014
- NUI Galway, Irish Geometry Conference. 7 May 2014
- Warsaw Center of Mathematics and Computer Science, Quantum groups, operators and non-commutative probability. 10 July 2013
- University of Glasgow, Analysis Seminar. 14 May 2013
- Bristol University. Geometric and Topological Graph Theory workshop. 18 April 2013
- Oxford University, Functional Analysis Seminar. 26 February 2013
- Leeds University, Yorkshire Functional Analysis Group seminar. 16 October 2012
- King’s College London, Analysis Seminar. 14 June 2012
- Universidad de Sevilla. International Workshop on Operator Theory and its Applications. 5 July 2011
- Newcastle University, Analysis Seminar. 5 May 2011
- Jagiellonian University, Krakow. Functions and Operators conference. 22 June 2010
- Queen’s University Belfast, Pure Mathematics Colloquium. 23 October 2009
- Fields Institute, Toronto. Multivariate Operator Theory Workshop. 12 August 2009
- University of Glasgow, Analysis Seminar. 2 June 2009
- Queen’s University Belfast. Workshop on Elementary Operators. 16 April 2009
- Dublin City University, School of Mathematical Sciences Seminar. 5 March 2009
- College of William and Mary, Williamsburg. International Workshop on Operator Theory and its Applications. 25 July 2008
- University of Aberdeen, Irish-Scottish Operator Algebra Seminar. 11 July 2008
- Queen’s University Belfast. Belfast Functional Analysis Day. 1 December 2007
- Universite Laval, Quebec City. Banach Algebras conference. 11 July 2007
