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Subalgebras of the Split Octonions

Creator:: Bentz, Lida
Abstract:: We classify the subalgebras of the split octonions, paying particular attention to the null subalgebras and their extensions.
Resource Type:: Capstone Project

Zeros of Certain Combinations of Products of Eisenstein Series

Creator:: Klangwang, Jetjaroen
Abstract:: In this dissertation, we begin by presenting the result of F. K. C. Rankin and Swinnerton-Dyer on the location of the zeros of the Eisenstein series for the full modular group in the standard fundamental domain. Their simple but beautiful argument shows that all zeros are located on the lower...
Resource Type:: Dissertation
Full Text:: Petsche, Mary Flahive and Ren Guo, for their time and for their teaching that I have had a long time to

Just Beneath the Surface : Analysis of Excavations at 35WS453, The Dalles Chinatown

Creator:: French, Jamie
Abstract:: In a mostly abandoned block, capped by concrete, the building at 210 East 1st Street, The Dalles, Oregon still stands as one of three remaining structures. This building housed the Wing Hong Hai Company, a mercantile store and Chinese laundry, from 1889 to 1926. Beneath the modern concrete that encircles...
Resource Type:: Masters Thesis

Primal Matter : Deep Objects in Historical Accounts of the Glanton Gang

Creator:: Schauer, Austin A.
Abstract:: The question of deep time has been widely debated in the field of American Literature, with scholar Wai Chee Dimock arguing that a deep time perspective puts the chronology of different nations against one another. However, this argument has not adequately addressed the issue of how deep time theories would...
Resource Type:: Masters Thesis

On Small Heights of Totally p-adic Numbers

Creator:: Stacy, Emerald T.
Abstract:: The height of an algebraic number A is a measure of how arithmetically complicated A is. We say A is totally p-adic if the minimal polynomial of A splits completely over the field of p-adic numbers. In this paper, we investigate what can be said about the smallest nonzero height...
Resource Type:: Dissertation

Overpartition Ranks, Cranks, and Frobenius Representations

Creator:: Morrill, Thomas
Abstract:: We generalize overpartition rank and crank generating functions to obtain k-fold variants, and give a combinatorial interpretation for each. The k-fold crank generating function is interpreted by extending the first and second residual cranks to a natural infinite family. The k-fold rank generating functions generate two families of buffered Frobenius...
Resource Type:: Dissertation

New Families of pseudo-Anosov Homeomorphisms with Vanishing Sah-Arnoux-Fathi Invariant

Creator:: Do, Hieu Trung
Abstract:: Translation surfaces can be viewed as polygons with parallel and equal sides identified. An affine homeomorphism φ from a translation surface to itself is called pseudo-Anosov when its derivative is a constant matrix in SL₂(R) whose trace is larger than 2 in absolute value. In this setting, the eigendirections of...
Resource Type:: Dissertation

Continued fractions and the divisor at infinity on a hyperelliptic curve : examples and order bounds

Creator:: Daowsud, Katthaleeya
Abstract:: We use the theory of continued fractions over function fields in the setting of hyperelliptic curves of equation y²=f(x), with deg(f)=2g+2. By introducing a new sequence of polynomials defined in terms of the partial quotients of the continued fraction expansion of y, we are able to bound the sum of...
Resource Type:: Dissertation

Optoelectronic properties of organic semiconductor materials : from bulk to single molecule

Creator:: Shepherd, Whitney E. B.
Abstract:: The behavior and application of organic semiconductor materials depend strongly on their molecular structure, and molecular interactions. Several studies of intermolecular interactions in functionalized polyacene materials are presented. The degree and onset of aggregation of a functionalized anthradithiophene derivative was studied as a function of concentration in two different host...
Resource Type:: Dissertation

Fundamental solution to the heat equation with a discontinuous diffusion coefficient with applications to Skew Brownian Motion and oceanography

Creator:: Harada, Sharon Julie
Abstract:: In this paper, we derive the fundamental solution to the heat equation with a discontinuous diffusion coefficient in the free space, with an absorbing boundary, and with a reflecting boundary. We use the fundamental solution with an absorbing boundary to make connections with the transition probability density of absorbed Skew...
Resource Type:: Masters Thesis
Full Text:: our meetings. I’d also like to thank the rest of my committee, Tevian Dray and Mary Flahive, for

ScholarsArchive@OSU

Subalgebras of the Split Octonions

Zeros of Certain Combinations of Products of Eisenstein Series

Just Beneath the Surface : Analysis of Excavations at 35WS453, The Dalles Chinatown

Primal Matter : Deep Objects in Historical Accounts of the Glanton Gang

On Small Heights of Totally p-adic Numbers

Overpartition Ranks, Cranks, and Frobenius Representations

New Families of pseudo-Anosov Homeomorphisms with Vanishing Sah-Arnoux-Fathi Invariant

Continued fractions and the divisor at infinity on a hyperelliptic curve : examples and order bounds

Optoelectronic properties of organic semiconductor materials : from bulk to single molecule

Fundamental solution to the heat equation with a discontinuous diffusion coefficient with applications to Skew Brownian Motion and oceanography

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