Hurwitz numbers count ramified covers of a Riemann surface with prescribed monodromy. As such, they are purely combinatorial objects. Tautological classes, on the other hand, are distinguished… (More)

We prove an analogue of Fujino and Mori’s “bounding the denominators” [7, Theorem 3.1] in the log canonical bundle formula (see also [19, Theorem 8.1]) for Kawamata log terminal pairs of relative… (More)

In this paper we will prove that for a threefold of general type and large volume the second plurigenera is positive and the fifth canonical map is birational.

We study the relation among the genus 0 Gromov-Witten theories of the three spaces X ← Z ← Y , where X = [C/Z3], Z is obtained by a weighted blowup at the stacky point of X , and Y is the crepant… (More)

Electric field induced light scattering by suspensions of cation-depleted purple membranes, obtained by deionization of purple membrane (PM) suspensions on a cation exchange column or by… (More)

Autosomal-dominant (AD) polycystic kidney disease (PKD) is a leading cause of renal failure in the United States, and currently lacks available treatment options to slow disease progression.… (More)