activity
20062025
most citedBounded Negativity and Arrangements of Lines

36 citations · 76 across the 17 of their papers we have counts for

collaborators

27 papers

math.AG2025

Waldschmidt constants of symmetric sets of points in

Sebastian Calvo, Jack Huizenga, Tomasz Szemberg

Configurations of points defined by complex reflection groups have attracted a lot of attention recently in several directions of research, e.g., the containment problem between or…

math.AG2024

Brill-Noether theory on the projective plane for bundles with many sections

Izzet Coskun, Jack Huizenga, Neelarnab Raha

The Brill-Noether theory of curves plays a fundamental role in the theory of curves and their moduli and has been intensively studied since the 19th century. In contrast, Brill-Noe…

math.AG2023

The Brill-Noether Theory of the Moduli Spaces of Sheaves on Surfaces

Izzet Coskun, Jack Huizenga, Howard Nuer

In this paper, we survey recent developments in the Brill-Noether Theory of higher rank vector bundles on complex projective surfaces. We focus on weak Brill-Noether Theorems on ra…

math.AG2023

Interpolation and moduli spaces of vector bundles on very general blowups of the projective plane

Izzet Coskun, Jack Huizenga

In this paper, we study certain moduli spaces of vector bundles on the blowup of the projective plane in at least 10 very general points. Moduli spaces of sheaves on general type s…

math.AG2022

Stability and cohomology of kernel bundles on projective space

Izzet Coskun, Jack Huizenga, Geoffrey Smith

In this paper, we study the cohomology of vector bundles on projective space defined as kernels or cokernels of general maps , where the are direct sums of line…

math.AG2021

Disconnected moduli spaces of stable bundles on surfaces

Izzet Coskun, Jack Huizenga, John Kopper

We use hypersurfaces containing unexpected linear spaces to construct interesting vector bundles on complete intersection surfaces in projective space. We discover examples of modu…