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Full-Text Articles in Mathematics
Uniform Approximation Of Continuous Functions On A Compact Riemann Surface By Elliptic Modular Forms, Michael Berg
Uniform Approximation Of Continuous Functions On A Compact Riemann Surface By Elliptic Modular Forms, Michael Berg
Mathematics, Statistics and Data Science Faculty Works
We show that the graded algebra of elliptic modular forms and their conjugates comprises a uniformly dense subspace of the space of all continuous functions on the compactification of the fundamental domain for the action of SL2(Z) on the complex upper half-plane by fractional linear transformations.
A Few Weight Systems Arising From Intersection Graphs, Blake Mellor
A Few Weight Systems Arising From Intersection Graphs, Blake Mellor
Mathematics, Statistics and Data Science Faculty Works
No abstract provided.
A Geometric Interpretation Of Milnor's Triple Invariants, Blake Mellor, Paul Melvin
A Geometric Interpretation Of Milnor's Triple Invariants, Blake Mellor, Paul Melvin
Mathematics, Statistics and Data Science Faculty Works
Milnor's triple linking numbers of a link in the 3-sphere are interpreted geometrically in terms of the pattern of intersections of the Seifert surfaces of the components of the link. This generalizes the well known formula as an algebraic count of triple points when the pairwise linking numbers vanish.
Finding Common Ground: Collaboration Across The Disciplines In The Scholarship Of Teaching, Elaine K. Yakura, Curtis D. Bennett
Finding Common Ground: Collaboration Across The Disciplines In The Scholarship Of Teaching, Elaine K. Yakura, Curtis D. Bennett
Mathematics, Statistics and Data Science Faculty Works
Many recent writings on the scholarship of teaching discuss the need to locate this scholarship within the disciplines. The authors argue that while scholarship within the disciplines is important, it should not come at the expense of work across the disciplines. They demonstrate the usefulness of cross-disciplinary collaboration for the scholarship of teaching and learning through the specific example of how collaboration contributed to their understanding of the role of such scholarship in the teaching of mathematics and negotiations courses. The authors also outline some of the pitfalls of cross-disciplinary collaboration, and they offer suggestions for beginning collaborative initiatives.