Jack Allsop

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: allsop AT mi DOT fu-berlin DOT de

Research output

My main research area is combinatorics, with a particular focus on combinatorial design theory.

Journal publications

J. Allsop, A. Lamaison, R. Lang, and S. Rathke. Spanning Components and Surfaces Under Minimum Vertex Degree. Combinatorics, Probability and Computing. Accepted for publication. [arXiv]

J. Allsop, D. Kotlar, and I. M. Wanless. Outline Rectangles, Allocations, and Latin Young Diagrams. Discrete Mathematics. Accepted for publication. [arXiv]

J. Allsop, K. Hendrey, G. Royle, A. Southwell, J. Tan, I. M. Wanless, and D. R. Wood. Latin Tableaux. 2025 Matrix Annals Part 1. 9. (2026). pp. 387–400.

J. Allsop and I. M. Wanless. Perfect 1-factorisations of K₁₁,₁₁. Australasian Journal of Combinatorics. 95.1. (2026). pp. 114–130. [arXiv, journal]

J. Allsop. Isotopisms of quadratic quasigroups. Algebraic Combinatorics. 9.1. (2026). pp. 75–94. [arXiv, journal]

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]

Conference publications

J. Allsop, D. Kotlar, and I. M. Wanless. On the wide partition conjecture for free matroids. Proceedings of the 13th European Conference on Combinatorics, Graph Theory and Applications. 2025. pp. 32–36.

Submitted Preprints

J. Allsop, C. Bowtell, T. Lesgourgues, and K. Petrova. Improved bounds on completion of partial Latin squares. [arXiv]

J. Allsop and P. Morris. Universal probability bounds for partial Latin squares. [arXiv]

J. Allsop and I. M. Wanless. Latin squares without proper subsquares. [arXiv]

Theses

J. Allsop. Latin Subrectangles. PhD Thesis. Monash University. (2025).

J. Allsop. Row-Hamiltonian Latin squares. Honours Thesis. Monash University. (2021).

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