Depression is a challenging mental illness that requires individuals to manage their moods and emotions over time. While past mental health literature describes how individuals seek and share support on social media and within online communities, the ways that offline and one-on-one supportive interactions unfold is less clear. To address...
This dissertation consists of three essays that deal with problems of information acquisition and aggregation and the incentives to acquire such information. The first of the essays is titled The Timing of Complementary Innovations and studies the problem of an agent that acquires information about the viability of a project...
This dissertation comprises three essays in distinct areas of economic theory. The first chapter is co-authored with Gregorio Curello. We identify a new and pervasive dynamic agency problem: that of incentivising the prompt disclosure of productive information. To study it, we introduce a model in which a technological breakthrough occurs...
We study Hermitian metrics with constant Chern scalar curvature on a compact complex manifold. In the first part of the thesis, we prove a priori estimates for metrics of constant Chern scalar curvature on a compact complex manifold conditional on an upper bound on the entropy, extending a recent result...
Chirality and polarity describe orthogonal mechanisms of inversion symmetry breaking, which is the origin of valuable properties in crystalline materials including nonlinear optical activity, ferroelectricity, and piezoelectricity. Noncentrosymmetric (NCS) materials have numerous applications yet opportunities remain for cooperative coupling between chiral and polar basic building units to realize high-performance materials....
By 2030, up to half of the world’s population is projected to suffer from water insecurity: a chronic scarcity of potable water due to rapidly warming temperatures, increased agricultural demand, and pollution. The health impacts of contaminated water are profound: hundreds of thousands of global deaths each year are ascribed...
Cardiovascular disease is the leading cause of death in US and non-invasive cardiac imaging has vital importance for early detection and diagnosis of heart disease. Cardiac Magnetic Resonance (CMR) is arguably the most versatile imaging modality and capable of a comprehensive evaluation of heart disease without ionization radiation. Despite the...
The topic of this dissertation is the coherent-constructible correspondence (CCC). CCC is a version of homological mirror symmetry for toric varieties. It equates the derived category of coherent sheaves on a toric variety and the category of constructible sheaves on a torus whose singular support lies in the specific conical...
his dissertation addresses questions of investment theories in financial economics. Chapter 1 studies investment problem with ambiguity and agency friction in a optimal contracting framework, where investors (principal) have ambiguous beliefs about the cash flows and the managers (agent) can pursue unobservable risk-taking strategies that earn cash flow but may...
Nanoparticles are nanometer scale (1-1000 nm) structures capable of encapsulating a diverse range of cargoes. Encapsulation of a cargo can drastically alter its pharmacokinetics, cytotoxicity, and biodistribution while allowing for informed and rational design of the nanoparticle itself. Poly(ethylene glycol)-block-poly(propylene sulfide) (PEG-b-PPS) is an amphiphilic diblock co-polymer able to self-assemble...