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...