Infinite hyperplane arrangements whose vertices form a lattice are studied from the point of view of commutative algebra. The quotient of such an arrangement modulo the lattice action represents the minimal free resolution of the associated binomial ideal, which defines a toric subvariety in a product of projective lines. Connections to graphic arrangements and to Beilinson’s spectral sequence ...

1 Institute for Data Analysis and Visualization, University of California, Davis, 1 Shields Avenue, Davis CA 95616, USA {myhuang,oruebel,bhamann}@ucdavis.edu 2 International Research Training Group “Visualization of Large and Unstructured Data Sets,” University of Kaiserslautern, Germany [email protected] 3 Visualiztion Group, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Be...

Chesworth, R., Brown, R., Kim, J., Ledent, C. and Lawrence, A. “Adenosine 2A receptors modulate reward behaviours for methamphetamine”. May 2014. ASMR Victorian Student Research Symposium. Chesworth, R., Brown, R., Kim, J., Ledent, C. and Lawrence, A. “Activity in the infralimbic cortex and nucleus accumbens shell is associated with methamphetamine place preference”. January 2014. Australian Ne...

A non-singular sesquilinear form is constructed that is preserved by the Lawrence-Krammer representation. It is shown that if the polynomial variables q and t of the Lawrence-Krammer representation are chosen to be appropriate algebraically independant unit complex numbers, then the form is negativedefinite Hermitian. Since unitary matrices diagonalize, the conjugacy class of a matrix in the un...