My research is in nonlinear algebra and nonlinear statistics. I develop, analyze, and apply statistical models for discrete relational data such as networks. I also study randomized algorithm approaches to computational algebra problems whose expected runtimes are much lower than the well-known worst-case complexity bounds, develop probabilistic models to study average and extreme behavior of algebraic objects, and use machine learning to predict and improve the behavior of algebraic computations.
Prior to joining IIT in 2013, I was on faculty at Penn State Statistics. In 2015 I became an Elected Member of the International Statistical Institute (ISI), received the College of Science Dean’s Junior Research Excellence Award, and in 2018 the College of Science Excellence in Teaching Award. My research has been supported by the NSF, AFOSR, and DARPA.
I actively mentor and involve students in my projects.
I co-organize the department's Nonlinear algebra and statistics (NLASTATS) seminar, lead the NLASTATS research group, and am a Managing Editor of the new journal Algebraic Statistics. In 2020, I was one of the organizers of the international Algebraic Statistics Online Seminar.
Inspired by the various difficulties of the year 2020, I lead the creation of SoReMo: an initiative to help train students in multidisciplinary communication & enhance their social responsibility portfolio.
Apart from mathematics and statistics, I love living in Chicago and watching its spectacular sunsets, traveling (yes, still, even with small kids in tow!), playing bass guitar, dancing, biking, improvisational cooking, some easy rock climbing, and swimming in Lake Michigan (in the summer only!).
The year 2020 has been very trying for many members of our community, but we can't fail to acknowledge two very important milestones for the field of algebraic statistics: that the 2020 MSC classification now includes 62R01 for 'algebraic statistics', and that a new journal has been established!