Using factorization homology, we realize the rational homology of the unordered
configuration spaces of an arbitrary manifold M, possibly with boundary, as the homology of …

We use factorization homology over manifolds with boundaries in order to construct
operations on Hochschild cohomology and Hochschild homology. These operations are …

We give a description of the factorization homology and E n topological Hochschild
cohomology of Thom spectra arising from n–fold loop maps f: A→ BO, where A= Ω n X is an …

This paper is based on lectures given at the Vietnamese Institute for Advanced Studies in
Mathematics and aims to present the theory of higher Hochschild (co) homology and its …

We define a relative version of the Loday construction for a sequence of commutative S-
algebras A→ B→ C and a pointed simplicial subset Y⊂ X. We use this to construct several …

This thesis includes two related projects. The first project determines the factorization
homology of Thom spectra of n-fold loop maps, and uses this to study the topological …