We show that the order three algebraic differential equation over Q satisfied by the analytic j-
function defines a non-ℵ0-categorical strongly minimal set with trivial forking geometry …

Generalizing and unifying the known theorems for difference and differential fields, it is
shown that for every finite free algebra scheme 𝒟 over a field A of characteristic zero, the …

Generalizing Atiyah extensions, we introduce and study differential abelian tensor
categories over differential rings. By a differential ring, we mean a commutative ring with an …

Building on the abstract notion of prolongation developed by Moosa and Scanlon ('Jet and
prolongation spaces', J. Inst. Math. Jussieu 9 (2010), 391–430), the theory of iterative Hasse …

We study model theory of actions of finite groups on substructures of a stable structure. We
give an abstract description of existentially closed actions as above in terms of invariants …

Let $ K $ be a $\mathbb {Q} $-Clifford algebra associated to an $(n-1) $-ary positive definite
quadratic form and let $\mathcal {O} $ be a maximal order in $ K $. A Clifford-Bianchi group …

We show new upper and lower bounds for the effective differential Nullstellensatz for
differential fields of characteristic zero with several commuting derivations. Seidenberg was …

We develop a theory of tensor categories over a field endowed with abstract operators. Our
notion of a “field with operators”, derived from the work of Moosa and Scanlon, includes the …

The Chow variety is a parameter space for effective algebraic cycles on P n (or A n) of given
dimension and degree. We construct its analog for differential algebraic cycles on A n …

L $\def\Q {\overline {\mathbb {Q}}}\def\V {\mathbb {V}} $ Let $ f: X\to S $ be a family of smooth
projective algebraic varieties over a smooth connected base $ S $, with everything defined …