Mathematics (Applied)
Invisibility and Inverse Problems: Theoretical and Computational Approaches
Doctoral Candidate Name: Ray Abney Program: Mathematics (Applied) Defense Date and Time: April 9, 2025 – 12:30 PM Defense Location: https://charlotte-edu.zoom.us/j/99161155496 Committee chair’s Name: Dr. Gregory Gbur and Dr. Loc Nguyen Committee Members: Dr. Xingjie Li and Dr. Taufiquar Khan Abstract: In this dissertation, we discuss invisibility and inverse problems. First, we discuss nonradiating orbital […]
Dimension Reduction for Vector Autoregressive (VAR(P)) Models via Spatial Quantile Regression
Doctoral Candidate Name: Yijiang Wang Program: Mathematics (Applied) Defense Date and Time: April 8, 2025 – 2:30 PM Defense Location: https://charlotte-edu.zoom.us/j/93548362996 Committee chair’s Name: Jiancheng Jiang Committee Members: Maciej Noras; Eliana Christou; Wenyu Gao Abstract: We propose frameworks for dimension reduction in high-dimensional Vector Autoregressive (VAR) models using Spatial Quantile Regression (SQR). By incorporating adaptive […]
Statistical Methods For The Deconvolution Of Bulk Tissue Rna Sequencing Data
Doctoral Candidate Name: Su Xu Program: Mathematics (Applied) Defense Date and Time: April 8, 2025 – 9:00 AM Defense Location: Fretwell 315 Committee chair’s Name: Dr. Shaoyu Li, Dr. Duan Chen Committee Members: Dr. Xue Wang, Dr. Daniel Janies Abstract: Bulk RNA sequencing (RNA-seq) provides a cost-effective overview of gene expression but lacks resolution to […]
Stratified Semiparametric Regression Analysis of Partly Interval Censored Failure Time Data with Missing and Mis-Measured Longitudinal Covariates
Doctoral Candidate Name: Gang Cheng Program: Mathematics (Applied) Defense Date and Time: April 4, 2025 – 1:30 PM Defense Location: Fretwell 340Q Committee chair’s Name: Dr.Yanqing Sun Committee Members: Dr.Qingning Zhou, Dr.Yinghao Pan, Dr.Asissis Nasipuri Abstract: Partly interval-censored failure time data are common in clinical and epidemiological studies, where the failure time of interest is […]
Stratified Semiparametric Regression Analysis of Partly Interval Censored Failure Time Data With Missing and Mis-Measured Longitudinal Covariates
Doctoral Candidate Name: Gang Cheng Program: Mathematics (Applied) Defense Date and Time: April 4, 2025 – 1:00 PM Defense Location: Fretwell 315 Committee chair’s Name: Dr.Yanqing Sun Committee Members: Dr.Qingning Zhou, Dr.Yinghao Pan, Dr. Asis Nasipuri Abstract: Partly interval-censored failure time data are common in clinical and epidemiological studies, where the failure time of interest […]
On the dynamics of actions on compact metrizable spaces
Doctoral Candidate Name: Jade Raymond Program: Mathematics (Applied) Defense Date and Time: March 27, 2025 – 12:30 PM Defense Location: Fretwell 315 Committee chair’s Name: Dr. Kevin McGoff Committee Members: Dr. William Brian, Dr. Michael Grabchak, Dr. Tony Brizendine Abstract: In Chapter 1, we show that every shift of finite type (SFT), sofic shift, and […]
TEMPERED STABLE DISTRIBUTIONS AND HIGH FREQUENCY FINANCIAL MODELING
Doctoral Candidate Name: Sina Saba Program: Mathematics (Applied) Defense Date and Time: March 20, 2025 – 2:00 PM Defense Location: Fretwell 210 Committee chair’s Name: Dr. Michael Grabchak Committee Members: Dr. Stanislav Molchanov, Dr. Isaac Sonin, Dr. Taghi Mostafavi Abstract: In this dissertation, we explore two applications of discrete tempered stable (DTS) distributions, a flexible […]
Discrete maximum principle preserving scheme for 1-D nonlocal to local diffusion problem: development, analysis, simulation, and application
Doctoral Candidate Name: Amanda Gute Program: Mathematics (Applied) Defense Date and Time: November 8, 2024 – 2:30 PM Defense Location: Fretwell 315 Committee chair’s Name: Dr. Ronald E. Smelser Committee Members: Dr. Duan Chen, Dr. Kevin McGoff, Dr. Bill Chu Abstract: Diffusion is a scientific phenomena that can be modeled by partial differential equations. In […]
New version of optimal stopping problem
Doctoral Candidate Name: Wai-Lun Lam Program: Mathematics (Applied) Defense Date and Time: April 9, 2024 – 12:30 PM Defense Location: Fretwell 315 Committee chair’s Name: Professor Stanislav Molchanov Committee Members: Professor Isaac Sonin, Professor Michael Grabchak, Professor Zhiyi Zhang, Professor Paul Gaggl Abstract: This dissertation contains several new results concerning Moser-type optimal stopping problems. In […]
Multiscale Modeling for Crystalline Materials: A Comprehensive Study in Statics and Dynamics
Doctoral Candidate Name: Elaine Gorom Program: Mathematics (Applied) Defense Date and Time: April 4, 2024 – 2:30 PM Defense Location: Fretwell 315 Committee chair’s Name: Dr. Xingjie Helen Li Committee Members: Dr. Duan Chen, Dr. Loc Nguyen, Dr. Xiuxia Du Abstract: Computational materials science plays a crucial role in advancing new and improved materials. To […]