Modular forms, the 'fifth fundamental operation' of math (2023)

quantamagazine.org

87 points·rolph··7 comments

I thought this was not up to Quanta's usual standards. What's an accessible introduction to modular forms, let's say for a grad student who has the appropriate prerequisites but is about to meet them for the first time.

group theory, the M group [the Monsters], and meditations, regarding what curvature really is.

im attempting to understand what space-time actually is from a geometric perspective.

im exploring the idea of space-time confinement, as similar to quark-gluon confinement

[edit] quick link to the basics: https://www.math.uci.edu/~ndonalds/math120a/notes.pdf [PDF]

https://quantum.phys.cmu.edu/qm2/qmc151.pdf[pdf]

Diamond & Shurman

I wrote one https://wstein.org/books/modform/README.html

Thank you!

Modular forms, the ‘fifth fundamental operation’ of math - https://news.ycombinator.com/item?id=37608061 - Sept 2023 (56 comments)

The L-functions and modular forms database - https://news.ycombinator.com/item?id=36929091 - July 2023 (3 comments)

Long-sought math proof unlocks more mysterious ‘modular forms’ - https://news.ycombinator.com/item?id=35173043 - March 2023 (17 comments)

from aleph null

https://www.youtube.com/watch?v=grzFM5XciAY

https://www.youtube.com/watch?v=zLEyIT_BCgk

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