We compute the generator rank of a subhomogeneous -algebra in terms of the covering dimension of the pieces of its primitive ideal space corresponding to irreducible representations of a fixed dimension. We deduce that every -stable approximately subho…
Let F be a totally real field, and let
be a CM quadratic extension. We construct a p-adic L-function attached to Hida families for the group
. It is characterized by an exact interpolation property for critical Rankin–Selberg L-values, at …
Let K be a number field. For which primes p does there exist an elliptic curve
admitting a K-rational p-isogeny? Although we have an answer to this question over the rationals, extending this to other number fields is a fundamental open problem…
Postnikov constructed a cellular decomposition of the totally nonnegative Grassmannians. The poset of cells can be described (in particular) via Grassmann necklaces. We study certain quiver Grassmannians for the cyclic quiver admitting a cellular decom…
Each metric graph has canonically associated to it a polarized real torus called its tropical Jacobian. A fundamental real-valued invariant associated to each polarized real torus is its tropical moment. We give an explicit and efficiently computable f…
The classical Loewner’s theorem states that operator monotone functions on real intervals are described by holomorphic functions on the upper half-plane. We characterize local order isomorphisms on operator domains by biholomorphic automorphisms of t…
We prove that it is consistent that Club Stationary Reflection and the Special Aronszajn Tree Property simultaneously hold on
, thereby contributing to the study of the tension between compactness and incompactness in set theory. The poset which…
We construct a new type of planar Euler flows with localized vorticity. Let
,
, be m arbitrarily fixed constants. For any given nondegenerate critical point
of the Kirchhoff–Routh function defined on
corresponding to
, we c…