Wednesday,
April 23
Where: Stratton Hall 202
When: 12:00 pm to 1:00 pm
Topic: Statistical Learning and Some Applications
Abstract: Statistical learning has been an active field of research for a long time. It lies at the intersection of Mathematical Statistics, Bayesian Statistics, Machine Learning and Data Science. I will briefly discuss my previous and current research experiences in this area, along with some future research plans. Finally, I will briefly share my graduate life experience.
Wednesday,
March 26
Where: Stratton Hall 201
When: 12:00 pm to 1:00 pm
Topic: Inverse Problems and Data-Informed Predictive Modeling
Abstract: In this talk, I will give a brief overview of my research in inverse problems and uncertainty quantitation, focusing on Bayesian inference techniques to estimate unknown parameters in dynamical systems and how we can use these estimates to make data-informed model predictions. I will highlight my recent work developing computational methods for time-varying parameter estimation and relevant applications in biology and medicine. I will also discuss my academic journey and career path in the mathematical sciences.
Wednesday,
February 19
Where: Stratton Hall 201
When: 12:00 pm to 1:00 pm
Topic: An Introduction to Multigrid Methods
Abstract: I will provide a brief introduction to multigrid methods, discussing their origins, development over time, and future directions. Along the way, I will highlight the mathematical tools used and the theories developed. Finally, I will share my academic journey and the insights I have learned over the years.
Tuesday,
December 3
Where: Stratton Hall 201
When: 12:00 pm to 1:00 pm
Topic: Finite Element Method
Tuesday,
October 22
Where: Stratton Hall 201
When: 12:00 pm to 1:00 pm
Topic: Water waves on graphs
Abstract: This is a topic in which I currently have PhD students working. It combines mathematical modeling in PDEs, such deducing new wave equations and new compatibility conditions on a graph, some theory (when possible), together with scientific computing. I will give a brief account on my academic training and trajectory.
Tuesday,
September 24
Where: Stratton Hall 202
When: 12:00 pm to 1:00 pm
Topic: Analysis of mobile health studies and a biostatistician’s journey
Abstract: In this talk, I will briefly explore how we can draw inferences from data collected by wearable devices. Specifically, I will demonstrate the use of functional data analysis to identify sleep patterns observed from wrist actigraphy data. Afterwards, I will discuss my personal journey in choosing biostatistics and pursuing a career in academia.
Tuesday,
April 3
Topic: Regularized Stokeslets, early career mathematician lessons, and related thoughts
Abstract: I completed my mathematics PhD at Tulane University in August 2023 and started my current postdoc position at WPI a few weeks later advised by Dr. Olson. I’ll give a friendly introduction to my research (numerical methods for Stokes flow) and talk a little bit about some lessons I’ve learned over the last several years.
Tuesday,
February 20
Topic: Neural networks and the relevance of dynamical systems in studying them
Abstract: Neural networks (NN) can be divided into two broad categories, recurrent and non-recurrent and they are often treated as distinct families of machine learning algorithms. In this talk we will argue that there is a closer relationship between these two types of neural networks than is normally appreciated and both can often be studied from the perspective of dynamical systems.
Tuesday,
January 30
Topic: Kirchhoff graphs and some applications
Abstract: Abstract: Neural networks (NN) can be divided into two broad categories, recurrent and non-recurrent and they are often treated as distinct families of machine learning algorithms. In this talk we will argue that there is a closer relationship between these two types of neural networks than is normally appreciated and both can often be studied from the perspective of dynamical systems.
Monday,
December 4
Topic: Working as a statistician in the corporate world and then transitioning into academia as a professor of practice
Monday,
October 30
Topic: Applying techniques from nonlinear PDEs and calculus of variations to understand physical systems
Abstract: I'm interested in applying comprehensive techniques from nonlinear PDEs and calculus of variations to understand complex singularity structures in certain physical systems, including superconductors, liquid crystals, thin film blisters, convection pattern formations and some systems described by hyperbolic conservation laws. The studies of these systems are highly interdisciplinary. The mathematical studies of such problems require the development of new mathematical tools, and these studies further foster the fundamental understanding in related fields of sciences.
Monday,
April 10
Topic: Advantages and challenges of utilizing nonlocal operators in modeling
Monday,
March 20
Topic: Biological fluid dynamics and its connections to computing, analysis, and optimization
Monday,
February 20
Topic: Using educational technology data to estimate what works in education, how it works, and for whom
Monday,
January 23
Topic: Stochastic control and its potential connections to the Navier-Stokes equations
Thursday,
December 8
Topic: Understanding particles and fluid transport at the microscale
Thursday,
November 10
Topic: Powerset operators and their connection to matroids
Thursday,
October 6
Topic: Bridging the gap between molecular and cellular biology with mathematical models