As part of the undergraduate program at Modern Math Workshop, each student attends one of the two mini-courses:
1) Statistics for Undergraduates will be taught by Dr. Rudy Guerra of Rice University. The course will include a discussion of statistical modeling and applications, together with a hands-on data analysis project utilizing R, a statistical software program. Dr. Guerra will also talk about careers in statistics.
Dr. Guerra’s research interests include biostatistics, statistical genetics, bioinformatics, proteomics, educational disparities, health disparities and immigration. His genomic research includes working with high-throughput microarray data (genotype, RNA expression, miRNA, copy number, methylation), as well as protein data from mass spectrometry and protein arrays. Applications include cardiology, obesity, metabolic syndrome, adult and pediatric cancer, and stem cells. Dr. Guerra is highly interested in increasing under-represented minorities in STEM fields, especially in mathematics and statistics. On his spare time he enjoys baseball and reading.
2) Self-exciting Point Processes and Their Applications will be taught by Dr. Nancy Rodriguez. Self-exciting point processes are versatile models that can be used to describe a wide range of systems from criminal activity to number of views of different Youtube videos. In the first part of this mini-course we will introduce these type of models and discuss some of their many applications. In the second part students will have the opportunity to test these models on various data sets. For example, we will try to determine which crimes are the contagious-type and which are not.
Dr. Rodriguez is currently at Stanford University and will join the faculty of the University of North Carolina at Chapel Hill during the summer of 2014. She is working on partial differential equations with applications in social, ecological,and biological systems. She received her Ph.D. from UCLA under the guidance of Prof. Andrea Bertozzi. Outside of mathematics she enjoys biking, mountaineering, skiing, and being outdoors.