Research
Research
Publications
Quotients of M-convex sets and M-convex functions, Combinatorial Theory (2025), with Marie-Charlotte Brandenburg and Georg Loho (to appear) (arXiv)
Convex geometry over ordered hyperfields, Innovations in Incidence Geometry (2025), with James Maxwell (to appear) (arXiv)
Root polytopes, tropical types and toric edge ideals, Algebraic Combinatorics, Volume 8 (1) (2025), with Ayah Almousa and Anton Dochtermann (journal) (arXiv)
Geometry of tropical extensions of hyperfields, Proceedings of the Royal Society of Edinburgh Section A (2024), with James Maxwell (journal) (arXiv)
On complete classes of valuated matroids, TheoretiCS, Volume 3 (2024), with Edin Husić, Georg Loho and László A. Végh (journal) (proceedings) (arXiv)
Face posets of tropical polyhedra and monomial ideals, Electronic Journal of Combinatorics, Volume 30 (4) (2023), with Georg Loho (journal) (arXiv)
Convergent Hahn series and tropical geometry of higher rank, Journal of the London Mathematical Society, Volume 107 (4) (2023), with Michael Joswig (journal) (arXiv)
Matching Fields and Lattice Points of Simplices, Advances in Mathematics, Volume 370 (2020), with Georg Loho (journal) (arXiv)
Commutative Algebra of Generalised Frobenius Numbers, Algebraic Combinatorics, Volume 2, no. 1, p. 149-171 (2019), with Madhusudan Manjunath (journal) (arXiv)
Preprints
k-fold circuits and coning in rigidity matroids, with John Hewetson, Bill Jackson and Tony Nixon (2025) (arXiv)
A tropical approach to rigidity: counting realisations of frameworks, with Oliver Clarke, Sean Dewar, Daniel Green Tripp, James Maxwell, Anthony Nixon and Yue Ren (2025) (arXiv)
k-fold circuits in matroids, with Bill Jackson and Tony Nixon (2024) (arXiv)
Matroids over tropical extensions of tracts (2024) (arXiv)
Computing Tropical Varieties in Macaulay2, with Carlos Améndola, Kathlén Kohn, Sara Lamboglia, Diane Maclagan, Jeff Sommars, Paolo Tripoli and Magdalena Zajaczkowska, (2017) (arXiv)