"While the move from dimension 2 to dimension 3 appears to be the obvious step there is a sense in which one should mo…"

"Should you just be an algebraist or a geometer? is like saying Would you rather be deaf or blind? If you are blind, y…"

"Like Moses, André Weil caught sight of the Promised Land, but unlike Moses, he was unable to cross the Red Sea on dry…"

"There is still something in the system which gravels me. I have not yet any clear views as to the extent to which we …"

"It is possible to form an analogous theory with seven imaginary roots of (-1)."

"The real numbers are the dependable breadwinner of the family, the complete ordered field we all rely on. The complex…"

"Besides their possible role in physics, the octonions are important because they tie together some algebraic structur…"

"The octonions are much stranger. Not only are they noncommutative, they are also break another familiar law of arithm…"

"But mathematicians know that the number system we study in school is but one of many possibilities. And indeed, other…"

"But perhaps most important, it wasn’t clear in Hamilton’s time just what the octonions would be good for. They are cl…"