Williams, Matthew M., authorCavalieri, Renzo, advisorGillespie, Maria, committee memberPeterson, Chris, committee memberTucker, Dustin, committee member2024-09-092024-09-092024https://hdl.handle.net/10217/239243We study the relationship between Hodge classes on moduli spaces of pseudostable and stable curves given by the contraction morphism T. While Mumford's relation does not hold in the pseudostable case, we show that one can express the (pullback via T of the) Chern classes of E ⊕ E^∨ solely in terms of strata and ψ classes. We organize the combinatorial structure of the pullback of products of two pseudostable λ classes and obtain an explicit comparison of arbitrary pseudostable and stable quadratic Hodge integrals, as well as certain families of cubic and higher degree pseudostable Hodge integrals.born digitaldoctoral dissertationsengCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.moduli space of curvespseudostableMumford's relationHodge integralsText