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Professional Preparation
Ph.D - Mathematics University of Toronto - 2018
B.Sc - Mathematics and Physics University of Toronto - 2011
Research Areas
Massive data analysis, Manifold learning, Nonparametric statistics on manifold.
Publications
Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation 2022 - Journal Article
Strong uniform consistency with rates for kernel density estimators with general kernels on manifolds 2022 - Journal Article
Graph based Gaussian processes on restricted domains 2022 - Journal Article
Inferring manifolds from noisy data using Gaussian processes 2021 - Other
Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples 2021 - Journal Article
Data-driven efficient solvers for langevin dynamics on manifold in high dimensions 2020 - Other
An Upper Bound for the Smallest Area of a Minimal Surface in Manifolds of Dimension Four 2020 - Journal Article
Connecting dots – From local covariance to empirical intrinsic geometry and locally linear embedding 2019 - Journal Article
Appointments
Assistant Professor Department of Mathematical Sciences, UTD [2022–Present]
Assistant Research Professor Department of Mathematics, Duke University [2018–2022]