Abhinav Natarajan

Abhinav Natarajan is a Research Fellow in the Mathematical Institute at the University of Oxford. His research interests include computational topology, discrete Morse theory, multi-parameter persistence, cellular sheaves, and Bayesian statistics. Natarajan's recent publications include works on Morse Theory for Chromatic Delaunay Triangulations and Cohesion and Repulsion in Bayesian Distance Clustering. His research is conducted within the Mathematical Institute, located at the Andrew Wiles Building, Radcliffe Observatory Quarter, Oxford.

Abhinav Natarajan is a doctoral student at the University of Oxford, specializing in topological data analysis, statistics, and machine learning. His research explores the intersection of these fields, focusing on methods for uncovering structural patterns in complex data. His work includes Bayesian distance clustering, unsupervised statistical learning for die analysis in ancient numismatics, and applications of Morse theory to chromatic Delaunay triangulations. He also investigates the topology of multi-species localization and develops prior distributions for graphical models. His research emphasizes statistical rigor and the integration of topological insights into machine learning frameworks.