Swimming through a river or cave is difficult enough with current and obstalces to avoid. Now imagine being blind and/or unable to physically move in general directions. This is a very real issue autonomous underwater vehicles (AUVs) face with every mission tasked. AUVs are spectacular machines scientists use to map vast sections of the ocean floor, explore hydrothermal vents, and hope to launch to Europa some day. Mike's math research centralized around the application of geometric control theory to mechanical systems, specifically how this mathematical theory is (or can be) extended to AUVs. By exploiting natural properties of an AUV, this math theory lends a tremendous hand in the navigation of the vehicle without the use of sensors. Even more importantly, with a proper understanding of the system, navigation and successful path plans can be determined even if the vehicle has lost the abiliity to move in certain directions (referred to as degrees of freedom). What really made this project awesome was the fact that he had the opportunity to build an AUV using Legos!

During Mike's time as a SUPER-M fellow, he partnered with Minna Chanhboury, a Complex Area Resource Teacher for the Farrignton/Kaiser/Kalani complex areas. Together they planned for monthly teacher coaches' mettings where, specifically, they engaged the coaches in math activities such as the modular pinwheel and nim game) followed by a discussion of the Common Core Standards and the eight Mathematical Practices in relation to said activities. The overachieveing goal for our partnership was to familiarize the groups at these DOE meetings with the Mathematical Practices.

After earning his Masters in 2012, from 2012-2013, Mike served as the SUPER-M Project Manager.

Mike's CV