Energy and the Environment - What Physicists Can Do
John Baez University of California System
Mathematical physics, including mathematics, is a research area where novel mathematical techniques are invented to tackle problems in physics, and where novel mathematical ideas find an elegant physical realization. Historically, it would have been impossible to distinguish between theoretical physics and pure mathematics. Often spectacular advances were seen with the concurrent development of new ideas and fields in both mathematics and physics. Here one might note Newton's invention of modern calculus to advance the understanding of mechanics and gravitation. In the twentieth century, quantum theory was developed almost simultaneously with a variety of mathematical fields, including linear algebra, the spectral theory of operators and functional analysis. This fruitful partnership continues today with, for example, the discovery of remarkable connections between gauge theories and string theories from physics and geometry and topology in mathematics.
John Baez University of California System
Pedro Vieira Perimeter Institute for Theoretical Physics
Pedro Vieira Perimeter Institute for Theoretical Physics
Pedro Vieira Perimeter Institute for Theoretical Physics
Calin Lazaroiu Horia Hulubei National Institute of Physics and Nuclear Engineering
Bianca Dittrich Perimeter Institute for Theoretical Physics
Seth Major Hamilton College
Daniele Oriti Ludwig-Maximilians-Universitiät München (LMU)
Roberto Percacci SISSA International School for Advanced Studies
Tobias Fritz Universität Innsbruck
Konstantin Zarembo Nordic Institute for Theoretical Physics
Ramamurti Shankar Yale University
Pedro Vieira Perimeter Institute for Theoretical Physics
Pedro Vieira Perimeter Institute for Theoretical Physics
Karol Zyczkowski Jagiellonian University