Nature, Poetry, and Liminality in the Poetry of Robert Frost

Explores how Frost examines and configures the divide between life’s imperfections and its rewards. I am particularly interested in how Frost positions both the non-human natural world and poetry itself as intermediary (or liminal) realms that might help us live simultaneously in the worlds of reality and the imagination, or truth and beauty, or heaven and earth.

Verifying Harder's Conjecture for Classical and Siegel Modular Forms

A conjecture by Harder shows a surprising congruence between the coefficients of “classical” modular forms and the Hecke eigenvalues of corresponding Siegel modular forms, contigent upon “large primes” dividing the critical values of the given classical modular form. Harder’s Conjecture has already been verified for one-dimensional spaces of classical and Siegel modular forms (along with some two-dimensional cases), and for primes p 37. We verify the conjecture for higher-dimensional spaces, and up to a comparable prime p.