William F. Hammond

GELLMU

Generalized Extensible LaTeX-Like MarkUp (GELLMU) is the name of my project that originated in 1998 with the aim of building a bridge from traditional LaTeX to the new world of XML languages.

A local adaptation of “regular” GELLMU offers the most reliable way to have automatic generation of article-level documents from a single LaTeX-like source file to both (1) the modern form of HTML extended by MathML for optimal, fully accessible, online content and (2) Adobe's portable document format (PDF) for printing.

Recent presentations

Mathematical research interests

The range of my research interests falls within the territory spanned by number theory and algebraic geometry. More specifically, most of my investigations have involved modular forms, the geometry of Hilbert modular surfaces, theta functions, abelian varieties, and "reduction" of Schwartz-Bruhat functions.

Course materials

This is a small collection of special course notes, course-related software, and miscellaneous pedagogical material.

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Information on my courses

I have retired from full-time teaching. Materials from courses taught in the recent past may be found here.

Mathematics and the network

By the fall of 1992 I had become fascinated with the new ability, thanks to the network, to have the library come to my office. In particular, I could go looking around the world for articles about mathematics and have them appear -- in full typeset glory -- on the screen in my office. I have become greatly interested in working to bring the library closer to my office and, indeed, my home.

Curriculum vita

A few pointers

Online Rendering of Math Using Only CSS

What is Author-Level Markup?

HTML Math Examples from arXiv via LaTeXML

HTML Math Examples from arXiv via Tex4ht

Article: Tools for Converting LaTeX to XML

SAGE: Open Source Mathematics Software

The grand unification of computer algebra systems. Sage will play a major role in my spring 2008 course Math 587, Modern Computing for Mathematicians. There is much interesting reading in the SAGE blog kept by William Stein, the founder. For example see the comment “Why I like Sage” by Jason Grout of Iowa State.

Jobs in Computer and Mathematical Sciences to Grow Fastest of All Professions

A forecast for 2008 from the MAA said to originate with the Bureau of Labor Statistics

Online Mathematics Textbooks

A list of 65 online texbooks prepared by Professor George Cain of Georgia Tech.

MoWGLI

A project devoted to mathematics on the web having the goal of moving from "machine-readable" mathematics to "machine-understandable" mathematics.

What Can We Do About Journal Prices?

An article by John Baez.

New Wiki Book on LaTeX

Recommended web browser with native support for MathML:

Firefox, available for most platforms.

About the high cost of commercial mathematics journals:

Donald Knuth's October 2003 letter

What Linux can do for you

An October 2003 PDF slide show from Oxford University by Lou Burnard and Sebastian Rahtz of Oxford University Computing Services.

Orwellian Software Patent Threat in Europe

Software patents are basically patents on abstract concepts. They pose a threat to academic freedom. Do not confuse software patents with software copyrights (which usually are legitimate). Check out the section entited Take Action at The GNU Project site. Are you sure that your latest theorem does not encroach upon a patent?

"Just as interchangeable parts drove the Industrial Age, reusable information powers the Information Age."

XML first became a recommendation of the World Wide Web Consortium on February 10, 1998. Read the article XML at Age 5 by Dave Hollander and C. M. Sperberg-McQueen.

From Egyptian fractions and platonic solids to Dynkin diagrams and non-abelian Hodge theory

A brilliant presentation, dated June 20, 2002, for week 182 of John Baez's expository series of postings titled “This Week's Finds”: http://math.ucr.edu/home/baez/week182.html

Information on XML and SGML

The SGA Project Grothendieck's SGA is headed for arXiv.

Meanwhile graphic images of old pages are available from Harvard

The Modular Curve Theorem (née "The Modular Curve Conjecture")

An archive that I keep.

Cygwin

Cygwin, originally from Cygnus Software, now part of Redhat, purveyor of "Redhat Linux", can give a Windows user an intermediate step toward broader functionality at no cost in that it provides X11 (with mouse-capable remote login to Linux hosts), gcc, bash, and most GNU tools under Windows, as well as a Windows facility for building old friends such as PARI/gp from source.

One of the best posters seen in a while.

From the University's Theater Department, April, 1996.

Dept of Mathematics and Statistics, The University at Albany

This leads to The New York Journal of Mathematics, information about the Department, and information about mathematics and statistics.

University at Albany World Wide Web (WWW) Service

The central entrance for the University at Albany