Notes for Miscellaneous Lectures

Here I share a few notes I used in various course lectures, talks, etc. Some may be just calculations that in the textbooks are more complicated, scattered, or less specific; others may be simple observations I found useful or curious.Comment: 6 pages. New section 6 adde

Cohomology of the complement to an elliptic arrangement

We consider the complement to an arrangement of hyperplanes in a cartesian power of an elliptic curve and describe its cohomology with coefficients in a nontrivial rank one local system.Comment: AMSLaTeX, 12 page

Aperiodic Tilings: Breaking Translational Symmetry

Classical results on aperiodic tilings are rather complicated and not widely understood. Below, an alternative approach is discussed in hope to provide additional intuition not apparent in classical works.Comment: 4 pages, 2 figures, minor change