This dissertation proves several results for first passage percolation on graphs of polynomial growth.The class of limit shapes for first passage percolation with stationary weights on Cayley
graphs of virtually nilpotent groups is characterized.
Then strict monotonicity theorems for independent first passage percolation on graphs of
polynomial growth and quasi-trees...
Herein, we present an overview of our studies of the morphology, dynamics, and formation of heterogeneous soft matter systems via the emerging technique of liquid phase transmission electron microscopy (LPTEM). This particular subset of materials, more commonly referred to as emulsions, is tremendously commercially and biologically relevant, encompassing applications in...
Conversation is an important part of human life. Given globalization and the numerous languages around the world, it is increasingly likely that we will be communicating with others speaking in their second language (L2) rather than their first language (L1). In these situations, communication may require more effort. However, people...
Transnational adoption from Asia to the U.S. was institutionalized in the 1950s, when the Korean War left an estimated 100,000 Korean children orphaned or displaced. At the time, the practice was situated as a form of emergency rescue, an act of win-win humanitarianism in which average Americans could take part...
Transcription plays a pivotal role in the transfer of genetic information within living organisms. It serves as the initial step in gene expression, allowing cells to convert the instructions encoded in their DNA into functional molecules. Eukaryotic transcription initiation is a complex and dynamic process that requires joint efforts from...
Gastrointestinal (GI) colonization by Klebsiella pneumoniae is a risk factor for subsequent infection as well as transmission to other patients. Additionally, colonization is achieved by many strain types that exhibit high diversity in genetic content. However, how K. pneumoniae achieves colonization and whether the genetic factors it uses differ by...
Mission-critical systems are those imperative systems whose failures can result in catastrophic consequences. Traditional techniques, such as manual investigation and testing, cannot ensure the absence of errors and security vulnerabilities within these systems. This dissertation leverages formal methods to comprehensively examine several mission-critical systems and their essential components. For each...
The advent of advanced computing and AI has led to social technologies becoming agentic teammates in human-autonomy teams. Interpersonal trust, vital for team functioning, is crucial in determining these teams' success or failure. Trust, while essential, can be easily broken and requires maintenance and repair. This dissertation addresses two questions:...
Breast cancer patients have reported nonspecific neurologic symptoms such as fatigue, depression, and cognitive concerns while undergoing adjuvant therapy. Few neuroimaging studies have examined hormone therapy, an adjuvant therapy, and more research is needed to determine possible neurologic and cognitive effects. Previous estrogen research has found alterations in gray matter...
This dissertation uses the case of Colombia to examine the causes and reproductive mechanisms of civil wars that last more than fifty years, which I call perpetual civil wars. It draws on network analysis of violent events and political claims, content analysis of official archival documents and historical records of...
Swallowing impairment or dysphagia has many possible causes with severe sequelae. One major mediator of the relationship between causes and sequelae is the physiologic impairment of the swallowing mechanism. Assessing the physiology of swallowing impairment is of great importance so that treatment can target physiology to mitigate sequelae. The assessment...
The political history of late twentieth-century Southern Africa was dominated by violent liberation struggles against settler-colonial domination in Angola, Mozambique, Namibia, South Africa, and Zimbabwe. All five countries experienced prolonged settler colonialism, followed by conflicts in which revolutionary national liberation movements (NLMs) sought to both end settler-colonial domination and build...
Recent experiments in participatory democracy, such as Iceland’s 2013 Constitutional Reform process to Chicago’s annual participatory budgeting process, have empowered members of the public to directly make policy decisions. These new participatory democratic institutions depend on citizens having capacity to organize new institutions and the capacity to participate in them....
Derivative-free optimization (DFO) has received growing attention due to important problems arising in practice. Various research communities, ranging from machine learning to engineering design, have adopted distinct DFO methods. In this thesis, we present extensive studies as a meaningful step towards a comprehensive understanding of DFO methods. We study the...
In this work, I try to understand how the movements, attitudes, styles, and positions of the body in representational artworks can be understood as gestures—that is, as moments that interrupt the unfolding of narrative time and produce an interval. The interval is not merely a space that opens up between...
This dissertation theorizes the relation between blackface minstrelsy and contemporary Black performance. The project analyzes the use of nineteenth-century blackface minstrel conventions in Black theatrical performances during later eras where its usage seems counter-intuitive: during the Black freedom struggles of the 1960s; within Black feminist and queer performance of the...
In recent years, the understanding and identification of quantum materials supporting non-trivial band topology has progressed rapidly. This progress has been motivated in part by the potential application of topological quantum materials in quantum computers, sensors, and other next-generation devices. Despite this progress, the computation of bulk topological invariants in...
This dissertation focuses on quantifying protein folding stability determinants and presenting initial experiments that can guide the development of a novel assay that identifies cell-penetrating miniproteins. First, despite over a century of scholarship on protein folding stability, applying this knowledge to design proteins computationally remains limited. Usually, protein designers generate...
This project explores how the variation in language experiences and attitudes that Mexican American Spanish heritage speaker bilinguals in the United States have affects their speech perception in both their languages. Heritage language bilinguals speak as a first language a minority language that they have cultural ties to (e.g., Spanish...
This dissertation investigates how scope relations are constructed and evaluated during real-time human sentence processing. Theoretical approaches to processing scope relations exist in a multi-dimensional space where trade-offs are made around how quickly scope relations can be computed, how many mistakes are made in computing scope relations, and how many...
The field of distributed optimization algorithms is wide and growing, and new techniques for categorizing and analyzing existing algorithms are continually being developed. In this Thesis, we leverage control theoretic analysis and block diagram interpretations for existing algorithms to synthesize entirely new families of algorithms. These new algorithm families have...
Transitioning energy systems from a reliance on fossil fuels to low carbon energy sources is an essential solution for climate change mitigation. However, the industrial sector, which is directly responsible for more than a quarter of global carbon dioxide (CO2) emissions, continues to use fossil fuels for energy and feedstocks....
Necessity is the mother of innovation. In the wake of the pandemic, with no flow of samples and limited fabrication techniques available, necessity demanded a new material platform and adaptable methods to make complex oxide samples worth measuring. The material platform was KTaO3 , the younger successor to the mainstay...
This manuscript describes and contextualizes the research I performed as a PhD student in Northwestern University. The first three chapters, on Markov chains, stochastic thermodynamics, and large deviation theory, describe three interrelated topics that serve as the background for subsequent research detailed in the next three chapters, on understanding the...
This dissertation aims to develop innovative analytical methods that integrate engineering, marketing, and social science disciplines to incorporate heterogeneous consumer preferences into product design using network-based customer preference modeling. Both companies and designers frequently face difficulties in understanding and addressing customer preferences, which can result in product failure and loss...
Machine learning and deep learning have been proven successful across various scientific fields, such as computer vision, natural language processing, and recommendation systems. As models become more complex, with more parameters and intricate architectures, they can achieve higher prediction accuracy when trained on larger datasets. However, despite the great prediction...
The action of the automorphisms of a formal group on its deformation space is crucial to understanding periodic families in the homotopy groups of spheres and the unsolved Hecke orbit conjecture for unitary Shimura varieties. This action is called the Lubin-Tate action. We first show sufficient conditions for geometrically modelling...
Despite the increasing interest in biogenic secondary organic aerosols (SOAs), their role in the climate system remains the greatest source of uncertainty in global models. Cloud formation, critical for the net cooling effect provided by cloud cover, is dependent on the abundance of SOA particles and their ability to activate...
Although elevated stress and dietary change have each been associated with metabolic health decline for resettled populations in the Global North, considerably less attention is paid to the links between these two biosocial pathways. Addressing these linkages can elucidate interrelated diet and stress mechanisms that affect population health disparities over...
Submodularity is a well-known concept in integer programming and combinatorial optimization. Submodular set functions capture the diminishing returns phenomenon, which has wide-ranging applications in various domains. Typically, a submodular set function models the utility of homogenous items selected from a single ground set. Selecting an item or not is naturally...
Controlled delivery of foreign cargo into cells is a critical step in many biological studies and in cell engineering and analysis workflows. Recent advances in micro and nanotechnology, specifically in microfluidics and microfabrication have added significantly to the precision, accuracy, resolution and throughput of cell manipulation and analysis pipelines. These...
Metalloenzymes catalyze remarkable reactions in Nature using transition metal ions. Common earth-abundant metals like copper, iron, zinc, and magnesium catalyze reactions that are the basis of life. These metal sites lend their chemistries to facilitate these reactions, making studying the structure and properties important in understanding the enzymes' abilities and...
For many years silicon tethers have been used to increase yields and control the stereochemical and regiochemical outcomes of coupling reactions. Silicon tethers may be incorporated into a wide range of reaction types including alkene metathesis, cycloadditions, and glycosylations. This thesis focuses on the development of the use of silicon...
Drying oils have been used as a binding medium for oil paints since the 15th century. These oil paints transition from a liquid-like paste to a solid-like film as a result of crosslinks forming between the oil molecules. These reactions have been extensively studied chemically, but other material properties are...
Pollution-intensive industrial manufacturing processes threaten the health of ecosystems and societies through toxic waste streams and energy intensive processes that lead to greenhouse gas emissions. Biological systems present more sustainable routes to many useful industrial chemicals by using enzymes at low temperatures, but the time and effort required to optimized...
This dissertation focuses on quantifying protein folding stability determinants and presenting initial experiments that can guide the development of a novel assay that identifies cell-penetrating miniproteins. First, despite over a century of scholarship on protein folding stability, applying this knowledge to design proteins computationally remains limited. Usually, protein designers generate...
Temperature affects all biological processes, from the rate of cellular growth and metabolism to the stability of proteins that make up the machinery of life itself. Thus, all organisms must have the capacity to detect and respond to external temperature. Thermosensation endows animals with the ability to sense and respond...
This dissertation presents novel advancements in the field of continuous nonlinear optimization, focusing on the development of efficient second-order methods for second-order conic programs (SOCPs) and continuous nonlinear two-stage optimization problems. The primary focus is on the theory and computations of Sequential Quadratic Programming (SQP) methods, which are widely used...
Recent progress in semiconductor synthesis and photophysics has revealed a host of new materials with exciting properties for applications in optoelectronic devices such as sensors, photovoltaics, solid state lighting, and more. One of the most significant recent additions to the field is the class of hybrid and inorganic materials that...
Bacterial infections (BI) are a frequent, expensive, and life-threatening condition for critically ill patients. For patients with serious BI, minimizing the time between admission to the
intensive care unit (ICU) and administration of appropriate antibiotic therapy is crucial to
improve prognosis. However, the current gold-standard for identifying the appropriate
antimicrobials...
Herein, we present an overview of our studies of the morphology, dynamics, and formation of heterogeneous soft matter systems via the emerging technique of liquid phase transmission electron microscopy (LPTEM). This particular subset of materials, more commonly referred to as emulsions, is tremendously commercially and biologically relevant, encompassing applications in...
This dissertation explores the entanglements of performed refusals and witnessing practices in the face of gendered violences. I analyze how contemporary artists use staged performance to generate new modes for witnessing histories of gendered violence across temporal and national boundaries. In particular, I investigate four performances addressing local histories of...
Volunteers play an essential role in humanitarian and non-profit organizations that strive to improve society. 30% of the population in the United States volunteered in 2019, and this percentage has been stable for the past two decades. This dissertation is motivated by the scheduling decision process in nonprofit organizations. These...
The simplicity of morphogenesis, manifested as collective shape changes, emerges from complex biophysical regulations within a multicellular embryo. Constructing a spatio-temporal atlas of mechanical stresses is central for understanding the emergence of this simplicity. Developing a new mathematical theory for the static mechanics of three-dimensional multicellular aggregates involving pressures and...
Bacteria represent the most abundant form of life on Earth and have evolved to successfully colonize nearly every environmental niche. In doing so, bacteria predominately form multicellular communities known as biofilms, resulting in increased resilience, persistence, and emergent behaviors. Consequently, biofilms present an attractive target for engineering and synthetic biology,...
The literature on racial/ethnic diversity in schools largely shows evidence of positive academic outcomes for students in diverse schools relative to segregated schools. At the same time, there is ample research demonstrating the discrimination and marginalization that students of color experience in desegregated schools. In this dissertation, I seek to...
Visual information plays a critical role in controlling movement. People use visual information to plan future actions and correct current actions through feedforward and feedback processes, respectively. We can gain insights into these visually guided motor control processes by quantifying where people look during movement and measuring how much they...
Historians have long argued that humanitarianism—what Thomas Haskell once described as “alleviating the suffering of distant strangers”—first emerged in eighteenth-century Europe as part of a complex set of perceptual changes involving capitalist growth, Enlightenment ideas, and Christian values. Given these claims, it is no coincidence that humanitarianism has often been...
Topology optimization is a powerful tool for maximizing structural performance, enabling multifunctionality of the structure, and reducing the materials waste and cost for sustainable manufacturing. However, current topology optimization tools are limited to a few scales, and the potential of nested topology optimization in engineering design has yet to be...
Early transition metal organometallics chemisorbed on extremely Brønsted acidic sulfated metal oxides such as sulfated alumina (AlS) and sulfated zirconia (ZrS) produce highly active single-site catalysts for olefin polymerization, alkene and arene hydrogenation, and alkane hydrogenolysis, typically with a large percentage of catalytically significant sites. The low support conjugate basicity...