CV

Download CV (PDF)

Areas of interest

Finite group theory and combinatorics, with an emphasis on the interactions between these two fields.

Academic positions held

• 2025–2028Postdoctoral research assistant, School of Mathematics and Statistics, The Open University, United Kingdom.

Departmental roles

• 2026–Postdoctoral representative, Athena SWAN committee, School of Mathematics and Statistics, The Open University, United Kingdom.

Education

• 2025PhD Mathematics, University of St Andrews, United Kingdom.
• 2022MASt Pure Mathematics, University of Cambridge, United Kingdom.
• 2021BSc Mathematics Honours, University of Victoria, Canada.

Awards, fellowships, and recognitions

• 2026Cheryl E. Praeger Visiting Fellowship, University of Western Australia.
• 2026Robert Bartnik Fellowship, Monash University.
• 2023–2026Postgraduate Scholarship – Doctoral, Natural Sciences and Engineering Research Council of Canada (NSERC).
• 2022–2025School of Mathematics and Statistics Scholarship, University of St Andrews.
• 2021First prize, University of Victoria (UVic) Science Honoursfest.
• 2021Exceptional TA recognition, Department of Mathematics and Statistics, UVic.
• 2020Undergraduate Student Research Award, NSERC.
• 2019–2021Mathematics and Statistics Scholarship, UVic.
• 2019–2020Alumni Association Undergraduate Scholarship, UVic.
• 2019Faculty of Science Undergraduate Research Award, UVic.
• 2018–2019Betty and Gilbert Kennedy Scholarship in Mathematics, UVic.
• 2017–2019Angus & Annie MacKay Scholarship, UVic.
• 2017–2021President's Scholarship, UVic.
• 2016–2021Dean's List, Faculty of Science, UVic.

Papers

Published articles

• P.J. Cameron, C. del Valle, C.M. Roney-Dougal, Regular bipartite multigraphs have many (but not too many) symmetries. Discrete Anal. Paper No. 22 (2025). [arXiv]
• S. Brenner, C. del Valle, C.M. Roney-Dougal, Irredundant bases for soluble groups. Bull. Lond. Math. Soc. 57(10) (2025), 3013–3023. [arXiv]
• C. del Valle, Another character theoretic formula for base size. Arch. Math. (Basel) 125(5) (2025), 463–468. [arXiv]
• C. del Valle, A character theoretic formula for the base size. Arch. Math. (Basel) 124(5) (2025), 485–490. [arXiv]
• C. del Valle, Greedy base sizes for sporadic simple groups. J. Group Theory 28(5) (2025). [arXiv]
• C. del Valle, C.M. Roney-Dougal, The base size of the symmetric group acting on subsets. Algebr. Comb. 7(4) (2024), 959–967. [arXiv]
• C. del Valle, P.J. Dukes, Balancing permuted copies of multigraphs and integer matrices. J. Combin. Theory Ser. A 198 (2023). [arXiv]
• M. Bailey, C. del Valle, P.J. Dukes, A lower bound on HMOLS with equal sized holes. Finite Fields Appl. 74 (2021). [arXiv]
• C. del Valle, P.J. Dukes, K. Garaschuk, On the cone of weighted graphs generated by triangles. J. Combin. Math. Combin. Comput. 116 (2020), 245–268.
• C. del Valle, P.J. Dukes, Some new block designs of dimension three. Bull. Inst. Combin. Appl. 87 (2019), 85–102. [arXiv]

Submitted articles

• C. del Valle, N. Gill, P. Spiga, On the maximum relational complexity of affine groups. Preprint, arXiv:2610.20077.
• C. del Valle, N. Gill, The binary actions of sporadic groups. Preprint, arXiv:2609.02508.
• C. del Valle, C.E. Praeger, Constructing linear codes from digraphs and groups. Preprint, arXiv:2607.28016.
• D.A. Craven, C. del Valle, C.W. Parker, The Gill–Guillot commuting graph for sporadic and related groups. Preprint, arXiv:2602.02032.
• C. del Valle, C.M. Roney-Dougal, On Cameron's Greedy Conjecture. Preprint, arXiv:2503.23964.

In preparation

• C. del Valle, N. Gill, M.W. Liebeck, The binary actions of low rank groups of Lie type.

Talks and presentations

Invited talks

• 2026On the binary actions of finite simple groups, Modern Flavours of Finite Groups, University of Warwick, UK.
• 2026The binary actions of sporadic groups, Groups and Combinatorics Seminar, University of Western Australia, Australia.
• 2026The binary actions of sporadic groups, Discrete Mathematics Seminar, Monash University, Australia.
• 2026Bases in unexpected places, Heilbronn Algebra Seminar, University of Manchester, UK.
• 2026Bases in unexpected places, Mathematics Seminar, Royal Holloway University of London, UK.
• 2025Base sizes and representation theory, London Algebra Colloquium, Imperial College London, UK.
• 2025The binary actions of sporadic groups, Orbit – meetings on groups and representations, University of Birmingham, UK.
• 2025The binary actions of sporadic groups, Combinatorics Seminar, University of Bristol, UK.
• 2025Bases in unexpected places, Mathematics Colloquium, The Open University, UK.
• 2025Cameron's Greedy Conjecture, Conference on Theoretical and Computational Algebra 2025, University of Évora, Portugal.
• 2025Greedy bases for primitive groups, Finite Groups, Fusion Systems and Applications, Mathematisches Forschungsinstitut Oberwolfach, Germany.
• 2025It's (probably) okay to be greedy, Algebra Seminar, University of Warwick, UK.
• 2024The base size of the symmetric group and an unexpected connection, Junior London Algebra Colloquium, Imperial College London, UK.
• 2024The base size of the symmetric group, Seminars on Groups and Graphs, Southern University of Science and Technology, China.
• 2020Block designs of dimension three, 2020 Canadian Mathematical Society Winter Meeting, Combinatorial Designs session, Canada.

Contributed talks

• 2025A character theoretic formula for base size, Algebra and Combinatorics Seminar, University of St Andrews, UK.
• 2024Greedy base sizes for sporadic simple groups, Centre for Interdisciplinary Research in Computational Algebra (CIRCA) Seminar, University of St Andrews, UK.
• 2024Greedy bases for primitive groups, Topics in Group Theory – on the occasion of Andrea Lucchini's 60th(+) birthday, University of Padova, Italy.
• 2024It's not always bad to be greedy, CIRCA Seminar, University of St Andrews, UK.
• 2023The base size of primitive actions of the symmetric group, CIRCA Seminar, University of St Andrews, UK.
• 2021A complete existence theory for signed graph designs, Discrete Math Seminar, University of Victoria, Canada.

Panel discussions

• 2020How to make an irritating Sudoku puzzle, Ideafest, University of Victoria, Canada.

Teaching

• 2023–2024Tutor (tutorials), MT2505 Abstract Algebra, University of St Andrews, UK.
• 2022–2024Tutor (tutorials and examples classes), MT2504 Combinatorics and Probability, University of St Andrews, UK.
• 2020–2021Indigenous student support tutor, Mathematics and Statistics Assistance Centre, University of Victoria, Canada.
• 2021Tutor (tutorials), Math 100 Calculus I, University of Victoria, Canada.
• 2020Tutor (tutorials), Math 211 Linear Algebra, University of Victoria, Canada.