Keller VandeBogert

collaborators

5 papers

math.AC2026

Carlsson's Conjecture and the Generalized Total Rank Conjecture in Characteristic Two

Keller VandeBogert

We prove the generalized total rank conjecture over regular rings in characteristic $2$ : if $R$ is a regular Noetherian domain of characteristic $2$ and $P$ is a differential $R$ -m…

math.AG2026

Stable sheaf cohomology on flag varieties

Claudiu Raicu, Keller VandeBogert

We prove an effective stabilization result for the sheaf cohomology groups of line bundles on flag varieties parametrizing complete flags in k^n, as well as for the sheaf cohomolog…

math.RT2025

Kostant $I ¨ $ -decomposition of homology I. Finite-dimensional representations

Steven V Sam, Keller VandeBogert, Jerzy Weyman

We give explicit, uniform formulas for the graded characters and total ranks of the Lie algebra homology of finite-dimensional representations in all classical types. In many cases…

math.RT2025

Stable sheaf cohomology and Koszul--Ringel duality

Claudiu Raicu, Keller VandeBogert

We identify a close relationship between stable sheaf cohomology for polynomial functors applied to the cotangent bundle on projective space, and Koszul--Ringel duality on the cate…

math.AC2025

From total positivity to pure free resolutions

Steven V Sam, Keller VandeBogert

Using the Jacobi-Trudi identity as a base, we establish parallels between the theory of totally positive integer sequences and Koszul algebras. We then focus on the case of quadric…