University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Discrete operator semigroups: spectrum, asymptotics, applications, Ritt operators, Katznelson-Tzafriri type theorems.
Strongly continuous semigroups: existence, asymptotics, applications to damped wave equations, coupled systems, Tauberian type theorems, extensions.
PDEs: well-posedness, energy decay, spectral analysis.
Teaching Assistant at the University of Oxford - B4.1 Banach Spaces/Functional Analysis 1 (Michaelmas Term 2016, 2017, 2018), B4.2 Hilbert Spaces/Functional Analysis 2 (Hilary Term 2017, 2019), C4.2 Linear Operators (Hilary Term 2018; shared duties with Class Tutor)
Tutor at the Australian National University - MATH2320/3116/6110 (Advanced) Analysis 1: Metric Spaces and Applications (Semester 1 2016)
Tutor at the University of Sydney - MATH1002 Linear Algebra (Semester 1 2015), MATH1003 Integral Calculus and Modelling (Semester 2 2015)
Prizes, awards, and scholarships:
University of Sydney Travelling Barker Graduate Scholarship (2016/2017-2018/2019)
University Medal at the University of Sydney (Honours 2015)
Australian Postgraduate Award and Research Supplementary Scholarship at the Australian National University (2016)
Major / recent publications:
'Optimal energy decay in a one-dimensional wave-heat system with infinite heat part' with David Seifert. Journal of Mathematical Analysis and Applications 2020, 482(2), 123563.
'Optimal energy decay in a one-dimensional wave-heat-wave system'. Semigroups of operators: theory and applications, ed. by J. Banasiak, A. Bobrowski, M. Lachowicz, and Yu. Tomilov, Springer Proceedings in Mathematics and Statistics, Springer, Cham 2020; to appear.
'Direct integrals of strongly continuous operator semigroups'. Journal of Mathematical Analysis and Applications 2020; to appear.