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
+44 114 222 3876
Full contact details
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
-
Show: Featured publications All publications
Featured publications
Journal articles
- Global, decaying solutions of a focusing energy-critical heat equation in R^4. Journal of Differential Equations, 264(9), 5894-5927.
- Global solutions for the critical, higher-degree corotational harmonic map heat flow to $mathbb{S}^2$.
All publications
Journal articles
- Global, decaying solutions of a focusing energy-critical heat equation in R^4. Journal of Differential Equations, 264(9), 5894-5927.
- Global solutions for the critical, higher-degree corotational harmonic map heat flow to $mathbb{S}^2$.
Conference proceedings papers
Preprints
- Research group
-
Analysis
- Teaching activities
-
MAS107 Foundations of Pure Mathematics (Semester 2: Analysis)
MAS331 Metric Spaces MAS31004 Skills Development in Mathematics and Statistics