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PhD Students
Using an overset grid scheme to study the dynamics of particles confined to fluid interfaces. (Advisors: David Chopp and Michael Miksis)
Developing experimental design methods to address identifiability issues in sparse model selection (SINDy) as applied to synthetic biological systems (Advisor: Niall Mangan).
Design of computer simulations with probability and applied analysis (Advisor: Chang-Han Rhee).
Nonlinear analysis and math modeling with application in astrophysics and social systems (Advisor: Daniel M. Abrams)
Dynamics of cell differentiation in the gastrulating mouse embryo (Advisor: Madhav Mani)
Achieving efficient and robust numerical simulations of astrophysical and geophysical fluid flows via numerical analysis of timestepping stability in spectral methods (Advisor: Daniel Lecoanet)
Investigation of motility and shape fluctuations of droplets containing active particles. (Advisor: Petia Vlahovska)
My research is about deep learning, neural networks, focused on computer vision and natural language processing (Advisor: Diego Klabjan).
Use physics-inspired or machine learning methods to describe dynamics of gene expressions, such as under the condition of aging or small environmental variations. (Advisor: Madhav Mani)
I work on machine learning applications in health care and autonomous parking. I recently completed a project on implementation and application of Monte Carlo Tree Search (MCTS) to feature acquisition with focus on medical diagnosis application. I am currently working on development and implementation of federated MCTS with application to autonomous parking (Advisor: Diego Klabjan).
Mathematical modelling of tissue deformation appearing in the esophageal diseases using continuum mechanics theories, dynamical systems theory and numerical simulations. (Advisor: Neelesh Patankar).
Statistical modelling of biological systems from sequence data, focusing on machine learning and maximum entropy models.(Advisor: Rosemary Braun)
My research involves designing and analyzing algorithms at the intersections of reinforcement learning, federated learning, and nonconvex optimization (Advisor: Diego Klabjan).
(Advisor: Neelesh Patankar)
Gene network reconstruction methods, graph theory (Advisor: Diego Klabjan).
Nonlinear optimization of physics-based simulations (Advisor: Daniel Lecoanet)
I design and analyze machine learning algorithms with a focus on federated learning (Advisor: Diego Klabjan).
(Advisor: David Chopp)
Modeling and analysis of single cell RNA sequencing data (Advisor: Rosemary Braun).
Designing computer vision models and algorithms to detect, locate, and specify degraded tissue states in medical imaging of the urethra. Mapping gene expression and modeling physical behavior to understand underlying mechanics in different esophageal disease phenotypes (Advisor: Neelesh Patankar).
Using modeling approaches to investigate the neural basis of learning and memory, specifically by exploring the mechanisms and properties of the olfactory system (Advisor: Hermann Riecke).
Decomposing biomedical data into components and groups for analysis. More specificly, using Bayesian statistics in order to compute the Tucker decomposition of tensors (Advisor: Diego Klabjan).
Mathematical modeling of firefly (P. malaccae) synchronization built on a framework of nonlinear dynamics and coupled oscillators. Developing computer vision algorithms for tracking the identities and flashing patterns of individual fireflies in a swarm (Advisor: Daniel Abrams).
Mathematical modeling of fruit fly navigation and behaviour (Advisor: William Kath, Marco Gallio).
I develop mathematical models to understand pain crisis events in Sickle Cell Disease. The modelling approach draws from Stochastic Processes, Dynamical Systems and Machine Learning. (Advisor: Daniel Abrams)
Mathematical modeling of wastewater networks for uncertainty quantification. (Advisors: Niall Mangan, Aaron Packman)
(Advisor: Niall Mangan)
Numerical simulation and asymptotic analysis of nonlinear electrodynamics across a biomembrane. (Advisors: Petia Vlahovska and Michael Miksis)
(Advisors: Michael Miksis and Petia Vlahovska)
MS Students
