Mike Roth

On the Linear Strand of an Edge Ideal

Let I(G) be the edge ideal associated to a simple graph G. We study the graded Betti numbers that appear in the linear strand of the minimal free resolution of I(G).

Seshadri constants, diophantine approximation, and Roth’s theorem for arbitrary varieties

In this paper, we associate an invariant

DECOMPOSING INVERSION SETS OF PERMUTATIONS AND APPLICATIONS TO FACES OF THE LITTLEWOOD-RICHARDSON CONE

\alpha _{x}(L)

Rational curves on hypersurfaces of low degree

αx(L) to an algebraic point

Curves of Small Degree on Cubic Threefolds

x

The affine stratification number and the moduli space of curves

x on an algebraic variety