Articles

Is it Mathematics or is it Software? (link to pdf) Forthcoming in Notices of the American Mathematical Society, CDAR Co-Director Lisa Goldberg explores the concepts and issues surrounding mathematical software development.

Abstract: Computers can empower mathematicians to envision and to prove theorems beyond natural limitations. At the same time, computers can facilitate misdirection and error on a grand scale. Working on software development is, in effect, engaging in an interesting genre of mathematical thinking. Since we are in an age where significant progress has been achieved on both practical and intellectual levels by such thinking, the develop- ment of mathematical software is genuinely part of mathematics. That is, the conceptual breakthroughs in software development should find a home in the academic mathematical community.

The Growing Science of Prediction. CDAR Co-Director Lisa Goldberg’s “Prediction is a Young Science” (link to pdf), published in April 2016 in Notices of the American Mathematical Society, is a look at how prediction science is changing through data analysis and, of course, a bit of trial and error. View the final published piece here.

Abstract: Predictions go back at least as far as the Oracle of Delphi and the astrologers of the Chinese Han Dynasty. Arguably, they are as old as the human race. However, our recently acquired capability to collect, store and analyze data has emphasized statistics and elevated prediction to a science that pervades virtually everything we do. Despite recent advances, prediction is a young science. We are just beginning to explore its limits.