Highlight's from NANOGrav's Search for Low-Frequency Gravitational Waves

The North American Nanohertz Observatory for Gravitational Waves (NANOGrav) is a galactic-scale low-frequency gravitational wave observatory. Our long-term high precision timing of almost 80 millisecond pulsars (MSPs) provides for unprecedented sensitivity to the gravitational wave Universe at nHz-frequencies. As we continue our timing campaign into its third decade and consistently add newly discovered MSPs to our array, our ever increasing data volume requires the constant development of new analysis techniques. In this talk, I will discuss the current state-of-the-art detection approaches to searching for a gravitational wave signature in NANOGrav data, and present recent results from applying these methods to our data sets.