By Juan Maldacena Carl P. Feinberg Professor, School of Natural Sciences Institute for Advanced Study, Princeton NJ Juan Maldacena is Carl P. Feinberg Professor at the Institute for Advanced Study in Princeton. After receiving his Ph.D. from Princeton in 1996, Juan Maldacena became associate professor of physics at Harvard in 1997. In November of that … Read more
Geometry, from the ancient Greek geo (earth) and metron (measurement), is often considered a universal quality in human thinking. In fact, this idea of an innate ability to “know” geometry dates back to Plato. In the dialogue Meno, written about 380 BC by Plato, the philosopher Socrates draws out an accurate answer to a geometric … Read more
Carl Schoonover’s acclaimed book Portraits of the Mind is a fascinating visual odyssey exploring how we investigate the workings of the human brain through images—from medieval sketches and 19th century drawings by the founder of neuroscience, to state-of-the-art techniques that fuel research today. Schoonover is a postdoctoral research scientist in the Axel Laboratory at Columbia … Read more
By George Sterman, Director of the C.N. Yang Institute for Theoretical Physics Most of us would agree that addition and subtraction are simpler than multiplication and division, at least for big numbers. And this is not just for people who lack an affinity for math. When quantitative astronomy began in earnest, astronomers like Tycho Brahe … Read more
By Kenji Fukaya Recently there has been a discussion among mathematicians, as well as in press and several blogs, covering the developments in symplectic geometry. Professor Fukaya expressed interest in giving his opinion and we are happy to present it here: The set of the solutions of the equation x2 + y2 – z2 = … Read more
By Simon Donaldson If we have four objects—say A, B, C, D—there are just three ways of dividing them into pairs: (AB)(CD) (AC)(BD) (AD)(BC). The salient property is that 3 is less than 4. This simple fact expresses something special about the number 4. For example if we take 6 objects there are 10 ways to divide … Read more
