Welcome to the homepage of

Dan Silver

Daniel S. Silver
Professor of Mathematics
Department of Mathematics and Statistics
ILB 325
University of South Alabama
Mobile, AL 36688-0002

(251) 460-6264/ 460-7969 FAX
click here to send e-mail. (Remember to change "at" to "@".)

Here is what you will find inside

• Course information for my graduate students in MA 519 (Linear Algebra II) is here.

• Publications: My research is in topology and combinatorial group theory. I am especially interested in knots and links. Since 1995 I have been working with Susan G. Williams on applications of symbolic and algebraic dynamical systems to knot theory. (Click here to see a photograph of us defending our research in Zacatecas, Mexico.) I have also written articles and book reviews on the history of mathematics and science.

• Non-serious Publications: I have published comic strips on political and social issues for many years. Here is a sample of some of my work in the Harbinger, an alternative paper that published in Mobile for more than fifteen years.

• Mobile Chamber Music Society: For more than ten years I served as President of Mobile Chamber Music Society, a non-profit organization that brings internationally known classical music ensembles to Mobile. I am currently First Vice President, responsible for programming.

  Mathematics and Science History Presentations of General Interest

• Albrecht Dürer, Artist and Mathematician: Albrecht Dürer (1471--1528) was well known in his time both as an artist and a mathematician. ``The new art," he wrote in 1494, ``must be based upon science -- in particular, upon mathematics, as the most exact, logical, and graphically constructive of sciences." In this upcoming presentation at Satori Coffee House, we will survey his interests in geometry and arithmetic. We also discuss mathematical aspects of some of his prints that are on view at the Mobile Museum of Art until January 4. The talk is sponsored by the Mobile Mathematical Society.

• The Last Poem of James Clerk Maxwell : the story behind Maxwell's poem which begins: "My soul's an amphicheiral knot upon a liquid vortex wrought." A dramatic presentation sponsored by the Mobile Mathematical Society. View photos by Susan Williams and text . An article based on this play, appearing in the November 2008 Notices of the American Mathematical Society is here .

• Sigma-Xi Presentation: "Perhaps I Might Explain This...": The Toys and Humor of James Clerk Maxwell A photographic essay with new images taken last June at Cavendish Laboratory, Cambridge and James Clerk Maxwell House, Edinburgh.




Five Minutes of Knot Theory History

Click When Smoke Gets in Your Eyes to watch a 5-minute video of my dangerous attempt to recreate an experiment that P.G. Tait performed for Lord Kelvin in 1867. More about the poisonous session can be found in an article that I wrote recently for American Scientist Knot Theory's Odd Origins. (E-reprints are available. Please ask!) Co-starring are Susan Williams and University of South Alabama chemistry professor Andrzej Wierzbicki.
Helmholtz worked out the interaction of two smoke rings traveling in the same direction: "If they have the same direction, the foremost widens and travels more slowly, the pursuer shrinks and travels faster, till, finally, if their velocities are not too different, it overtakes the first and penetrates it. Then the same goes on in the opposite order, so that the rings pass through each other alternatively." Click here to see a great image produced by an artist at American Scientist. Pas de deux

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Here is a photograph of Ralph Fox that was given to me by my friend and collaborator Wilbur (Red) Whitten. Fox was a pioneer and tireless promoter of knot theory when the subject was still young. An altered version of the photograph appears in John Milnor Collected Papers, Volume 2 (Publish or Perish Press). If you look closely, you can see Fox's signature.

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Click here for a short, elementary exposition on knots and Fox colorings, intended for undergraduates. It is titled ``Why Knot?"

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