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Associate Professor Jeffrey Hogan is an academic in the Mathematics discipline within the School of Computer and Information Sciences at the University of Newcastle, Australia, where he has served since 2009. He earned his BSc (Hons) in 1985 and PhD in 1990 from the University of New South Wales, supervised by Professors John Price and Michael Cowling. His career includes postdoctoral positions as Lecturer at the University of Texas at Austin (1989-1991), Research Associate at Flinders University (1991-1993) and Macquarie University (1993-2000), Assistant Professor (2000-2006) and Associate Professor (2006-2008) at the University of Arkansas, Department of Mathematical Sciences. At Newcastle, he teaches undergraduate courses in calculus, linear algebra, differential equations, complex analysis, numerical analysis, and Fourier analysis. Administrative roles include Head of Mathematics Discipline (July 2023-present), Deputy Head of School of Mathematical and Physical Sciences (2015-2022), Acting Head of Mathematics Discipline (2017-2018), MAPS HDR Coordinator (2017-present), and Bachelor of Mathematics Convenor (2009-2012).
Hogan's research specializes in pure, applied, and computational harmonic analysis, encompassing uncertainty principles for the Fourier transform on locally compact groups, singular integrals and wavelet frames, sampling theory in Fourier and wavelet analysis, Clifford-Fourier theory, bandlimited and bandpass prolate functions in one and higher dimensions, applications of optimisation in constructing one- and multi-dimensional wavelets, and fractionation of minerals according to size and density. Key fields include Lie groups, harmonic and Fourier analysis (60%), approximation theory and asymptotic methods (30%), and signal processing (10%). Notable publications include 'Duration and Bandwidth Limiting: Prolate Functions, Sampling, and Applications' (2012, with J.D. Lakey), 'Time-frequency and time-scale methods: adaptive decompositions, uncertainty principles, and sampling' (2005, with J.D. Lakey), 'Smooth Molecular Decompositions of Functions and Singular Integral Operators' (2002, with J.E. Gilbert et al.), 'Quaternionic B-splines' (2017, with P. Massopust), and 'Prolate Shift Frames and Sampling of Bandlimited Functions' (2020, with J.D. Lakey). He has secured grants totaling $1,163,034, including ARC Discovery Projects on enhanced fractionation of mineral particles (2020, $546,913) and relaxed reflection methods for feasibility problems (2016, $593,621). Hogan has supervised eight completions, including PhDs on metric projections, higher-dimensional prolate functions, and multidimensional wavelets, and collaborates with researchers such as Laureate Professor Kevin Galvin and Professor Joseph Lakey.
Dive into career opportunities, salaries, benefits, and culture at the School of Information and Physical Sciences (SIPS) at University of Newcastle. Explore lecturer roles, research positions, and professional growth in computing, data science, and mathematics.
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