To view my CV and published papers please click the ``Research'' link at the top of the page.
Main Research Interests
The focus of my research is on applications of algebraic and combinatorial methods to problems that arise in data analysis. Some of the topics that I am currently studying are listed below:
- Analyzing the mathematical features of redistricting problems
- Constructing hierarchical, information-theoretic representations of time series data
- Applying the weighted dot product model to data analysis
- Studying complex systems through the lens of multiplex networks
This section contains links to brief descriptions of various research projects, outside of my main areas, that have also captured my interest. Each .pdf contains some background material, thoughts on current approaches, and a bibliography.
- Finding a module-theoretic decomposition of LHCCRR space and its combinatorial consequences
- Creating an efficient algorithm for finding minimal division chains
- Investigating the splitting behaviour of theta series lifted via spherical polynomials
- Extending Generalized Lucas Bases to higher order sequences
- Applying SFC methods to develop efficient implementations for scientific computing