This dissertation provides an introduction to the diffraction and scattering theory for the Aharonov--Bohm Hamiltonian with one or multiple poles on $\mathbf{R}^2$. It shows the propagation of diffractive singularities of the wave equation with the magnetic Hamiltonians with singular vector potential, which is related to the so-called Aharonov--Bohm effect. Based...
As the interest in rational synthesis for solid-state materials accelerates, there is an urgent need to understand the design principles concealed within these reactions. In situ material synthesis provides such an avenue to not only uncover these assembling rules, but also for finding new materials even in seemingly familiar phase...
The three essays composing this dissertation are unified by their focus on the macroeconomic aspects of economic development. In Chapter one titled "Land Property Rights, Financial Frictions, and Resource Allocation in Developing Countries'', I study the effects of weak land property rights and limited access to finance on aggregate productivity...
Part I: Evaluating the relationship between Crosslink Kinetics and Thermodynamics with the hydrogel mechanics. The past two decades have witnessed a surge of applications built upon dynamic covalent chemistry (DCC), both attributed to the scope of developed reactions as well as their modularity.1-3 These reactions have comparable strengths to their...
This dissertation leverages methodologies from computer science to understand sources of complexity in economic theory. Chapter 1 considers time complexity: how much time is needed to make a decision. Chapters 2 and 3 consider informational complexity: how much and what kind of data is needed to make a decision. I...
“Coalitional Aesthetics” argues that leftist literary works of the 1930s enacted bonds of solidarity across racial, linguistic, and geographic divides, modeling alternative, non-hierarchical modes of social cohesion. Building on Gramsci’s concept of the coalitional, coalitional aesthetics refers to a set of formal characteristics that insist on the specificity of the...
Black women performers have made, and continue to make, contributions to the U.S.-avant-garde performance canon and Black performance traditions that go largely unaccounted for in academic studies. Research has shown that across temporalities, Black women performers have mobilized experimental avant-garde aesthetics to disrupt and refuse essentialized notions of Blackness in...
Glioblastoma multiforme (GBM) is the most prevalent primary central nervous system tumor, characterized by resistance to therapeutic intervention, inevitable recurrence, and ultimately patient death. The dismal prognosis is due in part to underlying molecular factors that promote an intratumoral cellular state heterogeneity and protect tumor cells from cell death pathways....
A unifying concept across many fields, ranging from chemistry to architecture, is the bottom-up construction of sophisticated structures from simple building blocks. Materials with long-range order allow for consistent, predictable performance throughout the resulting structure. My research focuses on building highly ordered porous materials from atomic level building blocks based...
Since the invitation of ARPANet in 1969, network protocols and communication systems have continued to emerge. Especially in the past decade, the prosperity of mobile internet and cloud computing has resulted in a large number of network protocols and communication systems, which have become critical infrastructure for our society. Availability...