On Accidental Archaeology

Archaeological excavations in the nineteenth century presented images of past and present collapsed together. Examining the accidental excavation of Roman remains in London and the failed excavation of Silbury Hill in Wiltshire, this essay shows how the intrusion of material from one time into another disrupted notions of linear chronology.

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.