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I am a BMS Dirichlet postdoctoral fellow working in Professor Tibor Szabó's Combinatorics and Graph Theory group at Freie Universität Berlin. Before this, I completed my PhD at Monash University under the supervision of Professor Ian Wanless. A copy of my CV is available here.
Email: jack DOT allsop AT outlook DOT com
Research output
My research area is combinatorics. I work mainly in design theory, with a particular focus on Latin squares.
Published papers
J. Allsop. Isotopisms of quadratic quasigroups. Algebraic Combinatorics. Accepted for publication. [arXiv]
J. Allsop and I. M. Wanless. Commuting pairs in quasigroups. Journal of Combinatorial Designs. 33.11. (2025). pp. 418–427. [arXiv, journal]
J. Allsop and I. M. Wanless. Subsquares in random Latin rectangles. Combinatorica. 45.3. (2025). Paper No. 29. [arXiv, journal]
J. Allsop and I. M. Wanless. Row-Hamiltonian Latin squares and Falconer varieties. Proceedings of the London Mathematical Society. 128.1. (2024). Paper No. e12575. [arXiv, journal]
J. Allsop. Cycles of quadratic Latin squares and antiperfect 1-factorisations. Journal of Combinatorial Designs. 31.9. (2023). pp. 447–475. [arXiv, journal]
J. Allsop and I. M. Wanless. Degree of orthomorphism polynomials over finite fields. Finite Fields and Their Applications. 75. (2021). Paper No. 101893. [arXiv, journal]
Submitted Preprints
J. Allsop, A. Lamaison, R. Lang, and S. Rathke. Spanning Components and Surfaces Under Minimum Vertex Degree. [arXiv]
J. Allsop, D. Kotlar, and I. M. Wanless. Outline Rectangles, Allocations, and Latin Young Diagrams. [arXiv]
J. Allsop and I. M. Wanless. Perfect 1-factorisations of K₁₁,₁₁. [arXiv]
J. Allsop and I. M. Wanless. Latin squares without proper subsquares. [arXiv]
PhD Thesis
J. Allsop. Latin Subrectangles. Monash University. (2025).
Research talks
Invited/Plenary talks
Joint FU Berlin-UPC Workshop on Extremal and Probabilistic Combinatorics, December 2025, Barcelona, Spain.
Student Symposium in Combinatorics 2022, June 2022, online.
Conference and Workshop talks
46th Australasian Combinatorics Conference, December 2024, Brisbane, Australia.
45th Australasian Combinatorics Conference, December 2023, Perth, Australia.
Constructive and Probabilistic Methods in Combinatorics, September 2023, Zagreb, Croatia.
44th Australasian Combinatorics Conference, December 2022, online.
43rd Australasian Combinatorics Conference, December 2021, online.
5th Australian Algebra Conference, November 2021, online.
Seminar talks
University of Passau Discrete Mathematics Seminar, February 2025.
Freie Universität Berlin Combinatorics Research Seminar, January 2025.
Monash Discrete Mathematics Seminar, September 2024.
Monash Discrete Mathematics Seminar, March 2024.
Charles University Noon lectures, October 2023.
KU Leuven Kulak Algorithmic Graph Theory Seminar, September 2023.
University of St Andrews Algebra and Combinatorics Seminar, September 2023.
Dublin City University Combinatorics Seminar, September 2023.
Monash Discrete Mathematics Seminar, February 2023.
Monash Discrete Mathematics Seminar, October 2022.
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