Integrating Teaching and Research: Stories from Probability, Statistics, and Combinatorial Geometry
We will discuss how research problems can be integrated into undergraduate teaching and homework design. In particular, Prof. Bhattacharya will talk about his experiences with the celebrated birthday paradox from undergraduate probability which asks: What is the chance that among a group of friends, there are two friends who have the same birthday? This problem, which can be solved by an elementary counting argument, has various surprising consequences, from understanding coincidences to detecting lottery fraud, and is connected with fundamental research questions in statistical inference, cryptology, and network analysis. We will also talk about the relevance of building a broad knowledge base and interdisciplinary research with anecdotes connecting seemingly elementary problems in combinatorial geometry and modern statistical research.
Counts toward the CTL Teaching Certificate. All graduate students are welcome. This event grows out of concerns in Statistics and Engineering and so may be most useful to students in related fields.