Poetry Reading - Poet Laureate of the UP

Russell Thorburn, Poet Laureate of the Upper Peninsula, is visiting Michigan Tech and presenting a reading, workshop, and slide show to the Michigan Tech community from 7 to 8:30 p.m., on Thursday, April 10, in the East Reading room of the Van Pelt and Opie Library. This exceptional event is open to the public and is sponsored by the Friends of the Van Pelt Library; all are welcome and no preregistration is required.

Applications of finite geometries to designs and codes

This dissertation concerns the intersection of three areas of discrete mathematics: finite geometries, design theory, and coding theory. The central theme is the power of finite geometry designs, which are constructed from the points and t-dimensional subspaces of a projective or affine geometry. We use these designs to construct and analyze combinatorial objects which inherit their best properties from these geometric structures. A central question in the study of finite geometry designs is Hamada’s conjecture, which proposes that finite geometry designs are the unique designs with minimum p-rank among all designs with the same parameters. In this dissertation, we will examine several questions related to Hamada’s conjecture, including the existence of counterexamples. We will also study the applicability of certain decoding methods to known counterexamples. We begin by constructing an infinite family of counterexamples to Hamada’s conjecture. These designs are the first infinite class of counterexamples for the affine case of Hamada’s conjecture. We further demonstrate how these designs, along with the projective polarity designs of Jungnickel and Tonchev, admit majority-logic decoding schemes. The codes obtained from these polarity designs attain error-correcting performance which is, in certain cases, equal to that of the finite geometry designs from which they are derived. This further demonstrates the highly geometric structure maintained by these designs. Finite geometries also help us construct several types of quantum error-correcting codes. We use relatives of finite geometry designs to construct infinite families of q-ary quantum stabilizer codes. We also construct entanglement-assisted quantum error-correcting codes (EAQECCs) which admit a particularly efficient and effective error-correcting scheme, while also providing the first general method for constructing these quantum codes with known parameters and desirable properties. Finite geometry designs are used to give exceptional examples of these codes.

'Työmies?': Finnish Canadians in the Economy: A Historiographic Overview

Finnish immigrants are often seen as labor activists, even “radicals,” and key players in the “left-right” political divide, thus indicating a real presence on the “other” side of the economy. How did successive historians build these now-standard views? This paper takes a sweeping tour of writing on Finnish Canadian workers, tracing the evolution of these assessments. Archives and histories provided basic notions of “the” Finnish Canadian and were key sources as professional scholars – many Finns themselves – began their work. In Canada, new academics – Varpu Lindstrom most prominently – wrote about women, arts and culture, intellectual activity, and the impact of Finns as “exceptional” historical actors in socioeconomic terms. But, have historians of Finnish Canadian workers built a convincing case? Examination of Finnish Canadian “economic” historiography offers insights into the Finnish Canadian “story,” and the nature of generalization in immigrant and ethnic history.

Light Transport in PT-invariant Photonic Structures with Hidden Symmetries

We introduce a recursive bosonic quantization technique for generating classical PT photonic structures that possess hidden symmetries and higher order exceptional points. We study light transport in these geometries and we demonstrate that perfect state transfer is possible only for certain initial conditions. Moreover, we show that for the same propagation direction, left and right coherent transports are not symmetric with field amplitudes following two different trajectories. A general scheme for identifying the conservation laws in such PT-symmetric photonic networks is also presented.