Expander graphs are graphs that are simultaneously sparse and very well-connected. These graphs are useful in a wide range of applications, from generating pseudorandom numbers through random walks, to robust error-correction and channel communication. Graph connectivity is related to the spectral gap of the adjacency matrix, which motivates constructing expander graphs with maximal spectral gap, known as Ramanujan graphs.

As it turns out, random regular graphs drawn uniformly at random are already excellent expanders and, according to recent work, even often Ramanujan. They have few small cycles, locally tree-like structure, and large spectral gaps. Yet, derandomizing such constructions or replacing them with explicit graphs is an open problem.

I will present progress on a project to investigate possible new methods of generating regular graphs with expander-like properties, such as enforced tree-like configurations, and generate such expander-like graphs more easily and with higher probability.

Design, build, and test a new process and measurement equipment for NAVAIR to use for certifying air transport worthiness of cargo and vehicles.

Young adults are becoming more conscious of their alcohol consumption across the nation. SoberSense is a novel blood alcohol content (BAC) monitoring device which uses sweat to constantly detect BAC with 99% accuracy, allowing users to track the effects of alcohol consumption. The device uses a two-step process to report the BAC of an individual: iontophoresis to induce sweat and amperometry to detect alcohol concentration in sweat. The BAC is continuously measured, and these measurements are then transmitted via Bluetooth to the SoberSense app within 5 minutes. Within the app, users can track BAC over time, share their real-time BAC with friends, and set automatic actions if a certain BAC is reached, such as texting an emergency contact or ordering a rideshare home. SoberSense is the future of responsible alcohol consumption.

Using statistical analysis on features of the golf downswing, we created a dashboard that combines users’ data with the research to provide golf insights and advice from our virtual coach.