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190 results
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Richard Borcherds explains the fascinating "Monster group," modular elliptic functions, and the Moonshine Conjecture. He won a ...
5,577 views
1 year ago
This lecture (or rant) is part of an online undergraduate course on the theory of numbers, and is an addendum to the lecture on ...
17,297 views
4 years ago
This lecture describes an astonishingly simple construction of the Leech lattice in 24 dimensions, found by John Conway and ...
62,066 views
3 years ago
This lecture is part of an online undergraduate course on complex analysis. This is the first lecture, and gives a quick overview of ...
107,494 views
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It describes ...
9,487 views
5 years ago
Did Aristotle really believe that heavy bodies fall faster than light ones? While many physics professors claim that he did, it seems ...
7,559 views
Several discussions of the catenary (the curve formed by a hanging chain) claim that Galileo thought a hanging chain formed a ...
2,579 views
This lecture is part of an online course on category theory. We define adoint functors and give severalexamples of them. For the ...
17,222 views
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see ...
5,566 views
The Russian mathematician Vladimir Arnold sometimes challenged his audience to find the limit of (sin tan x - tan sin x)/(asin atan ...
8,255 views
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne ...
1,636 views
14,411 views
18,835 views
This lecture is part of an online course on category theory. We define natural isomorphisms and natural transformations of functors ...
17,911 views
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers ...
5,008 views
This lecture is part of an online undergraduate course on the theory of numbers. We describe how to use Fermat's theorem as a ...
3,062 views
This lecture is part of an online graduate course on modular forms. We show that the theta function of a 1-dimensional lattice is a ...
11,701 views
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It discusses ...
1,841 views
7,803 views