San Diego State University Mathematics Research Experience for Undergraduates
Project: Controlling HIV Epidemics
Evaluation of control strategies that recommend initiating antiretroviral therapy (ART) during early infection stage of HIV (Human Immunodeficiency Virus) patients is essential. In particular, the effect of ART-altered within-host infection patterns on the dynamics of between-hosts HIV transmission is poorly understood. In this project, we will develop mathematical models that can link within-host and between-hosts HIV dynamics. The developed models will be used to quantify the effectiveness of various treatment programs on controlling HIV epidemics. Basic knowledge of ordinary differential equations and linear algebra is useful for this project.
Project: Machine Learning Regressions
Two machine learning regression methods have been largely applied into time series forecasting: Support Vector Regression (SVR) and Least Absolute Shrinkage and Selection Operator (LASSO). In this project, we will apply these regression methods to predict zeros of the Riemann-zeta functions, write R-packages to implement the algorithms, and develop extensions of these two regression methods for multiple-output forecasting tasks. Basic understanding of mathematical optimization and statistical regression will be helpful for this project.
Project Director: Naveen Vaidya
Naveen K. Vaidya is an applied mathematician with research interests in mathematical biology (viral dynamics and immune systems, epidemiology, and ecology), mathematical and computational modeling, differential equations, dynamical systems, optimal control, and biostatistics. Currently, his primary focus lies on developing models of infectious diseases, pathogen evolution, and their controls. Dr. Vaidya has degrees from York University, Canada, and Tribhuvan University, Nepal. He has also obtained experience of assistant professorship at University of Missouri - Kansas City, and postdoctoral research at Los Alamos National Laboratory, New Mexico and Western University, Canada.
Project Director: Huan Qin
Dr. Huan Qin is Assistant Professor of Mathematics at San Diego State University-Imperial Valley Campus. Graduated from the University of Iowa in 2011, where she had received B.S. in both Mathematics and Statistics. In 2013, she earned her M.S. in Mathematics, and in 2017, she was awarded her Ph.D. in Mathematics from the University of Iowa, where her thesis advisor was Professor Yangbo Ye. Her research interests include Analytic Number Theory, Automorphic Forms, Subconvexity Bound of L-functions, Resonance Sums, and Representation Theory. She is also interested in work related to Time Series Analysis, Statistical Computing, and Statistical Consulting.

Program Director: Vadim Ponomarenko
Dr. Ponomarenko has been directing undergraduate and REU research for 19 years. Most REU participants he has worked with have been coauthors on at least one paper as a result of this collaboration.

Projects from previous years: 2007, 2008, 2009, 2012, 2013, 2014, 2016, 2017