Knots (links) are embeddings of the circle (some finite number of circles) into the 3-sphere, modulo ambient isotopy. Knot theory is thus the study of the essentially different ways we can embed a circle into a 3-sphere—a kind of deformation theory for such maps, if you will. 1,414 more words

## Tags » Knot Theory

#### In 4 space dimensions all knots can be unraveled

Nobel laureate Frank Wilczek reminds us in his tutorial article at the Quanta magazine that in 4 space dimensions all knots can be unraveled completely. He explains it as follows: 278 more words

#### Mathematics Stuff To Read Or Listen To

I concede January was a month around here that could be characterized as “lazy”. Not that I particularly skimped on the Reading the Comics posts. But they’re relatively easy to do: the comics tell me what to write about, and I could do a couple paragraphs on most anything, apparently. 445 more words

#### Professor spotlight: Dr. Michael McDaniel

**Story by America DeGraw, Reporter**

**Photo Courtesy of Michael McDaniel**

Dr. Michael McDaniel is not your average math professor. His vivacious and intense personality has garnered him attention from his students in the best ways possible. 685 more words

#### The End 2016 Mathematics A To Z: Unlink

This is going to be a fun one. It lets me get into knot theory again.

## Unlink.

An unlink is what knot theorists call that heap of loose rubber bands in that one drawer compartment. 918 more words

#### Knots (and a lot many things)

Prof. Louis H. Kauffman is here at IISER Pune for a few days. For a man of his age (he’ll turn 72 the coming February), he hardly shows any signs of frailty – he has given three (pretty long) talks in the last two days. 127 more words