Bazzoni-Glaz Conjecture

In their paper, Bazzoni and Glaz conjecture that the weak global dimension of a Gaussian ring is $0,1$ or $\infty$. In this paper, we prove their conjecture.Comment: arXiv admin note: substantial text overlap with arXiv:1107.044

The linguistic sign: Metonymy and virtuality

Grounded in a rich philosophical and semiotic tradition, the most influential models of the linguistic sign have been Saussure’s intimate connection between the signifier and the signi-fied and Ogden and Richards’ semiotic triangle. Within the triangle, claim the cognitive lin-guists Radden and Kövecses, the sign functions in a metonymic fashion. The triangular semi-otic model is expanded here to a trapezium and calibrated with, on the one hand, Peirce’s conception of virtuality, and on the other hand, with some of the tenets of Langacker’s Cogni-tive Grammar. In conclusion, the question “How does the linguistic sign mean?” is answered thus: it means by virtue of the linguistic form activating (virtually) the entire trapezium-like configuration of forms, concepts, experienced projections, and relationships between all of the above. Activation of the real world remains dubious or indirect. The process is both meto-nymic and virtual, in the sense specified

Peak finding through Scan Statistics

We discuss the conditions under which Scan Statistics can be fruitfully implemented to signal a departure from the underlying probability model that describes the experimental data. It is shown that local perturbations (``bumps'' or ``excesses'' of events) are better dealt within this framework and, in general, tests based on these statistics provide a powerful and unbiased alternative to the traditional techniques related with the chi2 and Kolmogorov distributions. Approximate formulas for the computation of Scan Statistics in the range of interest for high energy and nuclear physics applications are also presented.Comment: 14 pages, 5 figures, to appear in Nucl.Instrum.Meth.

The number of dense arrangements

AbstractConsider arrangements of N elements of two kinds, A and B, such that any segment of length m contains at least k type A elements. We evaluate the number of such arrangements

A Selection of Poems from Ode to Numbers

My first poetry collection, Ode to Numbers, was published by Antrim House in September 2017 (http://www.antrimhousebooks.com/glaz.html). The book contains poems written over a quarter of a century and inspired by mathematics and my life as a mathematician. The poems in this folder are a small selection from the book—a series of seven poems focusing on events from the history of mathematics

Pythagoras plays his lyre

A poem about the Pythagoreans\u27 beliefs and way of life

The Music Is All That Counts! A Poem-Collage Pair Created During The Pandemic

The poem-collage pair presented here is a work of collaboration between the mathematician and poet, Sarah Glaz, and the collage and ceramic artist, Mark Sanders. The piece is part of their larger joint poem-collage project involving the history of mathematics. Created at the height of the pandemic, the poem-collage pair reflects the reality of living during a plague and embodies the solace offered by long-distance collaboration and by the arts. Included as background is a brief discussion on the history and mathematics involved, information about Sarah’s poem and Mark’s collage, and a reflection on how the pandemic influenced both the choice of poem and the imagery appearing in the collage. To see the poem-collage pair as originally envisioned by Sarah and Mark please place them side by side

Between Heaven and Earth! A Poem-Collage Pair About Hypatia of Alexandria

The poem-collage pair presented here is a work of collaboration between the mathematician and poet, Sarah Glaz, and the collage and ceramic artist, Mark Sanders. The piece is part of their larger joint poem-collage project involving the history of mathematics. Included as background is a brief discussion on the history and mathematics involved, and a reflection on several landmark locations and some of the relevant imagery appearing in the poem and the collage