We use recent results by Bainbridge–Chen–Gendron–Grushevsky–Möller on
compactifications of strata of abelian differentials to give a comprehensive solution to the …

In this article we provide a stack-theoretic framework to study the universal tropical Jacobian
over the moduli space of tropical curves. We develop two approaches to the process of …

Using the notion of a root datum of a reductive group G we propose a tropical analogue of a
principal G-bundle on a metric graph. We focus on the case G= GL n, ie the case of vector …

Let X be a smooth and projective threefold with a simple normal crossings divisor D. We
construct the Donaldson–Thomas theory of the pair enumerating ideal sheaves on X relative …

We prove an analogue of Kirchhoff's matrix tree theorem for computing the volume of the
tropical Prym variety for double covers of metric graphs. We interpret the formula in terms of …

In this article we use techniques from tropical and logarithmic geometry to construct a non-
Archimedean analogue of Teichmüller space T¯ g whose points are pairs consisting of a …

Consider a pair consisting of an abstract tropical curve and an effective divisor from the
linear system associated to kk times the canonical divisor for k∈ Z⩾ 1 k∈Z_\geqslant1. In …

Algebraic geometry is a classical subject which studies shapes arising as zero sets of
polynomial equations. Such objects, called varieties, may be quite complicated but many …

We define a divisorial motivic zeta function for stable curves with marked points, which
agrees with Kapranov's motivic zeta function when the curve is smooth and unmarked. We …