Personal profile
Biography
I studied at University of Galway (then UCG) from 1988 to 1993 obtaining a B.Sc (Mathematics) and an M.Sc. (Mathematics). Following that I obtained my PhD from University of Alberta, Canada in 1999 under the supervision of Prof George Peschke. After a period teaching at University College Cork, I have been a lecturer at University of Galway since September 2001
Research Interests
Discrete Geometry: Most of my research focuses on the problems that involve some combinatoricial aspect (e.g. graphs, simplicial complexes, finite groups) and some geomtric or topological aspect (rigidity of structures, embeddings in surfaces). I am particularly interested in graph rigidity
Teaching Interests
I have taught a wide range of courses during my career across all aspects of the undergraduate mathematics syllabus. I have also taught courses in computer science and in actuarial science.
Related documents
Education/Academic qualification
PhD
External positions
Lecturer, University College Cork
1 Sep 1998 → 31 Aug 2001
Accepting PhD Students
- Accepting PhD Students
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Collaborations and top research areas from the last five years
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Algebraic connectivity in normed spaces
Cruickshank, J., Dewar, S. & Kitson, D., 15 Jun 2026, In: Linear Algebra and Its Applications. 739, p. 10-42 33 p.Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review
Open Access -
Rigidity of Graphs and Frameworks: A Matroid Theoretic Approach
Cruickshank, J., Jackson, B., Jordán, T. & Tanigawa, S., 2026Research output: Other contribution (Published) › Electronic Articles › peer-review
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Algebraic connectivity in normed spaces
Cruickshank, J., Kitson, D. & Dewar, S., 2025Research output: Other contribution (Published) › Electronic Articles
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Rigidity of symmetric simplicial complexes and the lower bound theorem
Cruickshank, J., Jackson, B. & Tanigawa, S. I., 20 Jan 2025, In: Forum of Mathematics, Sigma. 13, e4.Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review
Open Access1 Citation (Scopus) -
Volume Rigidity of Simplicial Manifolds
Cruickshank, J., Jackson, B. & Tanigawa, S.-I., 2025Research output: Other contribution (Published) › Electronic Articles
Activities
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Formal Power Series and Algebraic Combinatorics 2027
Cruickshank, J. (Conference Organising Committee Member)
5 Jul 2027 → 9 Jul 2027Activity: Participating in or organising an event › Organising a conference, workshop, ...
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Bridges Galway 2026
Cruickshank, J. (Conference Organising Committee Member)
5 Aug 2026 → 8 Aug 2026Activity: Participating in or organising an event › Organising a conference, workshop, ...
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42nd International Symposium on Computational Geometry (Event)
Cruickshank, J. (Reviewer)
2 Jun 2026Activity: Reviews and editorial work › Reviews and Editorial work
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ICMS workshop on "Rigid Structures in Algebraic Combinatorics and Algebraic Statistics
Cruickshank, J. (Program Committee)
18 May 2026 → 22 May 2026Activity: Participating in or organising an event › Organising a conference, workshop, ...
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COGENT Winter School
Cruickshank, J. (Organising Chair)
1 Dec 2025Activity: Participating in or organising an event › Organising a conference, workshop, ...