Open Research Fellow Position Estimating the Topology of Low-Dimensional Data
Abstract: This project aims at analysing the topology of 2-, 3- or 4-dimensional manifolds associated with real data or in simulation. While these spaces count as low-dimensional, they can be beyond human visual comprehension if they are sufficiently complex. The topology of manifolds describes their essential properties such as the number of connected components, holes, tunnels and cavities of various dimensions. Traditional methods from computational topology can fail in large practical applications due to computational restrictions. This project investigates approximations or alternatives that potentially can open new doors to data analysis in material science, medical imaging, dynamical systems and other applications. Project duration: up to 12 months full-time or part-time, starting as soon as possible. Location: University of Newcastle or alternatively remote work from within Australia. Salary level: Academic A based on experience and availability. Possible criteria: * Demonstrated excellence in research * Background in one or more areas such as machine learning, topology, mathematics, physics, statistics, material science, medical imaging, nano-structures, time series, video analysis, computer graphics, visualisation * Good programming skills * Good mathematical skills How to apply: Please send me * Resume including research track record. * Availability and visa status if applicable This project is part of ARC Discovery Project DP210103304. For questions please contact stephan.cha...@newcastle.edu.au<mailto:stephan.cha...@newcastle.edu.au> -------------------------------------------------------------------------- Professor Stephan Chalup School of Information and Physical Sciences The University of Newcastle Callaghan NSW 2308, Australia https://nam04.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.newcastle.edu.au%2Fprofile%2Fstephan-chalup&data=05%7C01%7Cuai%40engr.orst.edu%7C49aa2ac51a264cdad19308db25741858%7Cce6d05e13c5e4d6287a84c4a2713c113%7C0%7C0%7C638144952797637947%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C3000%7C%7C%7C&sdata=ROypo2waUuR%2BBMV2297a%2FpnXGtGbTWDsRAr%2BvMbvz2Y%3D&reserved=0
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