The Math 8806-8807 sequence will cover the following topics: Group Theory (Group actions, Sylow, Nilpotent/Solvable, simple groups, Jordan-Holder series, presentations); commutative algebra ...

This detailed yet accessible text provides an essential introduction to the advanced mathematical methods at the core of theoretical physics. The book steadily develops the key concepts required for ...

The outstanding examples of the power of mathematics to relate the facts of nature can be found in physics. The latest example is the use of group theory to relate the fundamental particles ...

MATH 2290 Number Theory for Teachers (Alternate Spring semesters ... It proceeds through the study of the model-building process, examination of exemplary models, and individual and group efforts to ...

Little kids are looking at a lot of dots these days. The theory behind this increasingly popular practice is that an ...

Representation theory transforms abstract algebra groups into things like simpler matrices. The field’s founder left a list ...

Only about 20 mathematicians around the world support Mochizuki’s theory. One of them is Ivan Fesenko, a math professor at the University of Warwick in Britain, who hailed Mochizuki’s work as ...

For close to 40 years, a simple little hypothesis has been quietly sitting in a corner of graph theory, minding its own ...

Alex Bogacz, a senior scientist at the U.S. Department of Energy's Thomas Jefferson National Accelerator Facility since 1997, ...

Since it was first demonstrated in the 1960s, spontaneous parametric down-conversion (SPDC) has been at the center of many ...

Researchers at New York University have devised a mathematical approach to predict the structures of crystals—a critical step in developing many medicines and electronic devices—in a matter of ...

Sep. 20, 2024 — A single treatment session, which includes the video game Tetris, can reduce symptoms of post-traumatic stress disorder (PTSD). This has been shown in a new study carried out ...