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Introducing Preservice STEM Teachers to Computer Science: A Narrative of Theoretically Oriented Design
This paper narrates the process of designing a curricular unit that serves to introduce preservice science, technology, engineering, and mathematics (STEM) teachers to computer science (CS) education. Unlike most literature that focuses on results and findings, this paper explains how a justice-centered approach to CS education informed decisions about the theoretical underpinnings of curricular design choices. Situated in issues related to the gentrification of Austin, Texas, the described curricular unit explores how the increased use of CS and growth of the technology sector are having a direct impact on the historically marginalized residents of East Austin. Connected by a theme that maps are both a form of data visualization and political artifact, the described curricular unit uses CS as a tool to: critique the macro-ethics of politics and society; provide a CS learning environment that can be responsive to the multiple social identities of students; and connect CS to larger struggles for justice and liberation.Educatio
Gauss-Manin connections for p-adic families of nearly overconvergent modular forms
We interpolate the Gauss-Manin connection in p-adic families of nearly
overconvergent modular forms. This gives a family of Maass-Shimura type
differential operators from the space of nearly overconvergent modular forms of
type r to the space of nearly overconvergent modular forms of type r + 1 with
p-adic weight shifted by 2. Our construction is purely geometric, using
Andreatta-Iovita-Stevens and Pilloni's geometric construction of eigencurves,
and should thus generalize to higher rank groups.Comment: Final version accepted for publication in the Annales de l'Institut
Fourier. Minor revisions. 11 page
The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields
For , 4, and 5, we prove that, when -number fields of degree
are ordered by their absolute discriminants, the lattice shapes of the rings of
integers in these fields become equidistributed in the space of lattices.Comment: 12 page
Solar power satellite cost estimate
The solar power configuration costed is the 5 GW silicon solar cell reference system. The subsystems identified by work breakdown structure elements to the lowest level for which cost information was generated. This breakdown divides into five sections: the satellite, construction, transportation, the ground receiving station and maintenance. For each work breakdown structure element, a definition, design description and cost estimate were included. An effort was made to include for each element a reference that more thoroughly describes the element and the method of costing used. All costs are in 1977 dollars
On Greenberg's -invariant of the symmetric sixth power of an ordinary cusp form
We derive a formula for Greenberg's -invariant of Tate twists of the
symmetric sixth power of an ordinary non-CM cuspidal newform of weight ,
under some technical assumptions. This requires a "sufficiently rich" Galois
deformation of the symmetric cube which we obtain from the symmetric cube lift
to \GSp(4)_{/\QQ} of Ramakrishnan--Shahidi and the Hida theory of this group
developed by Tilouine--Urban. The -invariant is expressed in terms of
derivatives of Frobenius eigenvalues varying in the Hida family. Our result
suggests that one could compute Greenberg's -invariant of all symmetric
powers by using appropriate functorial transfers and Hida theory on higher rank
groups.Comment: 20 pages, submitte
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