Xuesong Bai
Lecturer in Mathematics
Brandeis University
I am a lecturer in the Mathematics Department at Brandeis University. My research interests include mathematical biology, dynamical systems, probability and stochastic processes, and numerical methods.
As an applied mathematician, my overall goal is to use a combination of analytical and numerical methods to solve problems in natural sciences.
Generally speaking, analytical methods rely on logic and proof and lead to a clear, concise, and rigorous understanding of the problem. However, they often require significant abstraction and simplification of the real-world problem. Numerical methods, on the other hand, can deal with the complexity of real-world problems, but they are less elegant and rigorous and may require tremendous time and computational resources. Combining the two categories of methods is essential in applied mathematics, particularly mathematical biology.
For more information, see the description on my research page.