With the recent surge of infectious disease outbreaks across college campuses in the United States, there is a mounting need to ascertain strategies that best mitigate an outbreak’s size and duration. Thus, this paper (i) ...

In this paper, we compute several cobordism groups. We use these calculations to classify invertible extended topological field theory with Hn structures and give a classification of Symmetric Protected Topological (SPT) ...

This thesis studies several compactness problems in gauge theory and explores their applications is low dimensional topology. The first chapter studies a connection between taut foliations and Seiberg-Witten theory. Let Y ...

In this paper, I give an exposition on the emergence of the giant component, the sudden appearance of a component of order Θ(n) beyond a critical threshold in random graph processes. Drawing from the language of statistical ...

The United Nations World Food Programme (WFP) is the leading humanitarian organization in the world, with yearly operations in 80 different countries, providing humanitarian assistance to over 80million people in need. The ...

We examine the problem of universal noise models in machine learning.

The time to equilibrium of the local statistics of Dyson Brownian motion with general initial data is investigated. In the bulk of the spectrum it is established that the local statistics coincide with the invariant GOE/GUE ...

Based on the conventions of staff-based music notation, musical passages that sound alike can often be written down in multiple ways, with each representation being considered a different "pitch-spelling". In this thesis, ...

One goal in healthcare is to be able to accurately personalize treatments, including the ability to maintaining overall efficacy in treatment while minimizing the harm and quantity of mistreated patients. With the recent ...

Stochasticity is a fundamental component of evolution. Many essential evolutionary phenomena cannot be modeled without it. In developing and analyzing stochastic processes that model the dynamics of evolution, this ...