Research Program

Research Program

I work on the cohomology, structure, and representations of various types of rings, such as Hopf algebras and group-graded algebras. My research program involves collaborations with many mathematicians, including work with postdocs and graduate students. Below is a summary of some of my past and ongoing research projects, which fall loosely into three categories: Hochschild cohomology and defor...

Pacific Rim Research Program

The direction of the arrows in the graph encodes the fact that the class depends on these five attributes, and the lack of any arrows between the attributes explicitly encodes the assumption that the attributes are independent (more precisely, the attributes are independent, given we know the class). For example, if A1 is thorax_length and A3 is wingbeat_frequency, this classifier explicitly as...

The SAVE Program - Research

Multisensory integration of cross-modal stimulus combinations yielded responses that were significantly greater than those evoked by the best component stimulus. J Neurophysiol 97: 3193–3205, 2007. doi:10.1152/jn.00018.2007. Multisensory Versus Unisensory Integration: Contrasting Modes in the Superior Colliculus, Juan Carlos Alvarado, J. William Vaughan, Terrence R. Stanford, and Barry E. Stein...

UK Undergraduate Research Program

UK Undergraduate Research Program