I am a third-year PhD student in the Department of Data Science at the New Jersey Institute of Technology (NJIT), advised by Dr. Mengjia Xu and a member of the Xu Lab. My research explores how hyperbolic geometry, state-space models, and graph neural networks can be used to build efficient large language models and dynamic graph embeddings.
My most recent work is HyperForecast, a long-term time-series forecasting framework that operates in hyperbolic space. Earlier work includes the Hierarchical Mamba (HiM) framework (published in TMLR, 2026), which combines efficient Mamba2 state-space models with hyperbolic spaces to capture hierarchical relationships in language data, and a comparative study of dynamic graph embedding approaches using transformers and the Mamba architecture. In addition to these projects, I continue to develop hyperbolic models for other domains, exploring how curvature-aware embeddings can benefit a wide range of applications. I was also involved in surveying, and organizing the rapidly growing body of work on hyperbolic large language models, which forms the basis of my accepted survey paper in SIAM Review.
Beyond hyperbolic learning, I work on scientific machine learning: multiscale graph-wavelet compressed sensing for physical simulation data, and machine-learning forecasting of solar active-region emergence with collaborators.
Outside of research, I enjoy playing chess ♟️, hiking 🥾, exploring new cuisines 🍜🌍, and playing video games 🎮.
Hierarchy-aware embeddings, state-space models and large language models in hyperbolic space.
Learning-based compression and recovery of graph-structured scientific simulation data.
Datasets and deep-learning models for forecasting solar active-region emergence from NASA SDO/HMI observations.
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Email: sp3463@njit.edu
Address: New Jersey Institute of Technology, Newark, NJ 07102