The Jacobian of a regular orthogonal matroid and torsor structures on spanning quasi-trees of ribbon graphs
with Matthew Baker and Changxin Ding. Adv. Math., September 2026.
We show that the set of spanning quasi-trees of a ribbon graph inherits a group structure from its Jacobian group without a distinguished identity element.
DOIarXiv
Baker-Bowler theory for Lagrangian Grassmannians
Int. Math. Res. Not. IMRN, April 2025.
Introduces antisymmetric matroids, a combinatorial object related to ribbon graphs, symplectic Grassmannians, delta-matroids, and gaussoids.
DOIarXiv
Orthogonal matroids over tracts
with Tong Jin. Forum Math. Sigma, August 2025.
Extends the theory of matroids with coefficients to orthogonal matroids, equivalently even delta-matroids.
DOIarXiv