Work | Kyle Reiser

top of page

Home
Work
About
Contact

We give a closed-form formula for the dimension of the space of Hodge classes Hdgp(Eg) on the g-fold self-product of a generic elliptic curve E at each codimension p. The formula involves binomial coefficients and Catalan numbers, reflecting the combinatorics of non-crossing pairings in SL2 invariant theory. While the ingredients are individually classical — the Hodge group computation (Ribet), the decomposition of exterior powers of a direct sum, and the Catalan count of SL2-invariant tensors — their assembly into an explicit formula appears to be new. We verify the formula computationally through g = 8.

Planetarium Trifold.png

ACAD Class Booklet Sample.png

Ribbons of Excellence Booklet Sample.png

ACAD Posters.png

1 1 Portfolio.png

hourglass mono.png

PCR Facebook Banners.png

f62a1e139753259.6234eec9848ae.png

Ocular Mono

d51fbf139750633.6234e32c0c6a5.png

Mock Poster.png

d74614116045757.605a377ab6b86.png

© 2026 by Kyle Reiser

bottom of page