Dr Dimitrios Roxanas

School of Mathematical and Physical Sciences

University Teacher in Mathematics and Statistics

Undergraduate Research Experience Coordinator

Sheffield SIAM-IMA Student Chapter Advisor

d.roxanas@sheffield.ac.uk
+44 114 222 3876

Full contact details

Dr Dimitrios Roxanas
School of Mathematical and Physical Sciences
H13
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
Profile
  • 1/2022 - present: University Teacher, School of Mathematics and Statistics, Sheffield, UK
  • 9/2019-12/2021: University Teaching Associate, School of Mathematics and Statistics, Sheffield, UK
  • 2019: University Teacher in Mathematics, School of Mathematics, University of Bath, UK
  • 2018: Postdoctoral Research Fellow, School of Mathematics, The University of Edinburgh, UK
  • 2017: PhD in Mathematics (supervised by Stephen Gustafson) , University of British Columbia, Vancouver, Canada
  • 2011: MSc in Applied Mathematics, National Technical University of Athens, Greece
  • 2009: BSc/MEng in Electrical and Computer Engineering, National Technical University of Athens, Greece
Research interests

I am an applied mathematical analyst; my current interests are in Inverse Problems, Applied and Computational Harmonic Analysis, and Statistical Signal Processing and Analysis. I am particularly interested in inverse problems in imaging, compressed sensing, as well as applications of higher-dimensional probability to statistical signal estimation. I have previously worked in Pure Maths, mainly Analysis, and specifically on (deterministic and stochastic) Partial Differential Equations, Harmonic Analysis, and Geometric Analysis: most of my work has been on nonlinear dispersive and parabolic differential equations, but I have also studied variational elliptic PDEs with ideas from Nonlinear Functional Analysis. Before that, I did some work in Mathematical Control Theory.

Publications

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Journal articles

All publications

Journal articles

Conference proceedings papers

Preprints

  • Gustafson S & Roxanas D (2017) Global, decaying solutions of a focusing energy-critical heat equation in $mathbb{R}^4$, arXiv. RIS download Bibtex download
Research group

Analysis

Teaching activities
MAS107

Foundations of Pure Mathematics (Semester 2: Analysis)

MAS331 Metric Spaces
MAS31004 Skills Development in Mathematics and Statistics