Knot Theory and Floer Homology are two interrelated domains in modern mathematical research that bridge topology with sophisticated analytical methods. Knot Theory, historically focused on the ...

It took Lisa Piccirillo less than a week to answer a long-standing question about a strange knot discovered over half a century ago by the legendary John Conway. In the summer of 2018, at a conference ...

You may not have heard of knot theory. But take it from Bill Menasco, a knot theorist of 35 years: This field of mathematics, rich in aesthetic beauty and intellectual challenges, has come a long way ...

Sometimes, a simple, even childish question turns out to be connected to the deepest secrets of the universe. Here’s one: How many different ways can you tie your shoelaces? Mathematicians have been ...

For various, typically historical reasons, even the best physicists claim things that sound egregious to modern observers. That doesn’t necessarily mean these ideas are completely useless—if anything, ...

AI software has collaborated with mathematicians to successfully develop a theorem about the structure of knots, but the suggestions given by the code were so unintuitive that they were initially ...

Why is untangling two small knots more difficult than unravelling one big one? Surprisingly, mathematicians have found that larger and seemingly more complex knots created by joining two simpler ones ...

The noted mathematician and author Steven Strogatz explains how the conversations with experts in his new Quanta Magazine podcast address his lifelong fascination with timeless mysteries. Two recent ...