Now showing items 1-3 of 3
Singularities, Supersymmetry and Combinatorial Reciprocity
This work illustrates a method to investigate certain smooth, codimension-two, real submanifolds of spheres of arbitrary odd dimension (with complements that fiber over the circle) using a novel supersymmetric quantum ...
Finding and building algebraic structures in finite-dimensional Hilbert spaces for quantum computation and quantum information
In this dissertation, we investigate algebraic structures in finite-dimensional Hilbert spaces, as concerns quantum computation and quantum information, as well as these structures' applications to lattices. On the quantum ...
Moduli of vector bundles on curve and semiorthogonal decomposition
The present dissertation studies the derived categories of coherent sheaves on various versions of moduli of bundles on an algebraic curve over a field of characteristic $0$, including the full moduli stack, the semistable ...