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Higher Dimensional Analogues
(Abelian Varieties)
- Elliptic curves are modular, which means they live in Jacobians of modular curves.  
- Most of the Jacobian of a modular curve consists of higher-dimensional analogues of elliptic curves called abelian varieties.
- I have created a database about most abelian varieties of level < 4000.  (Maybe give live 
demonstration via internet.)
- I intend to greatly extend this database using MECCAH. 
Notes: