About me

I am currently working as a Postdoctoral Fellow in the School of Mathematics at the University of Edinburgh.

Research

My main research interests are in Analysis and Differential Equations, Control Theory, Statistical Estimation and Signal Processing, and Mathematics of Data Science.

Publications and Preprints

Global solutions for the focusing energy-critical heat equation in R^4 , with Stephen Gustafson, to appear, Journal of Differential Equations (2018).

Below-threshold solutions of a focusing energy-critical heat equation in R^4, with Stephen Gustafson,to appear, AMS Proceedings Contemporary Mathematics 2017-2018.

Global solutions for the critical, higher-degree corotational harmonic map heat flow to S^2 , with Stephen Gustafson, submitted.

Theses

PhD Thesis

Long-time dynamics for the energy-critical Harmonic Map Heat Flow and Nonlinear Heat equation

  • University of British Columbia, 2017
  • Supervisor: Stephen Gustafson

    MSc Thesis

    Eigenvalue and Bifurcation Problems for the p-Laplacian (in Greek)

  • National Technical University of Athens, 2011
  • Supervisor: Nikolaos Stavrakakis

    Diploma Thesis

    Nonuniform Stabilization for Linear Systems and Application to the Tracking Problem for Nonholonomic Systems in Chained Form (in Greek).

  • National Technical University of Athens, 2011
  • Supervisor: John Tsinias

    Teaching

    Below are some courses I have been an instructor of.

    Research Techniques in Analysis, MIGSAA Taster Project 2, Spring 2018, The University of Edinburgh (graduate course, co-instructor)
    Math 215-201: Elementary Differential Equations, University of British Columbia, Spring 2017
    Math 100-201: Differential Calculus with Applications to Physical Sciences and Engineering, University of British Columbia, Spring 2016
    Math 101-213: Integral Calculus for Physical Sciences and Engineering, University of British Columbia, Spring 2015

    Education

    2011-2017
    PhD in Mathematics, University of British Columbia, Canada
    2009-2011
    Master of Science in Applied Mathematics, National Technical University of Athens, Greece
    2004-2009
    5-year Diploma, Electrical and Computer Engineering, National Technical University of Athens, Greece

    Programming languages and applications

    MATLAB and Simulink, Python, C, R, C++, Fortran, Java, HTML, LINGO, LINDO, LateX

    Languages

    Greek, English (fluent), French (fluent)

    Other Interests

    In my free time I read, play football and squash, and I solve puzzles and chess problems (mostly endgame studies and retrograde problems).

    Contact Me

    You can contact me at dimitrios dot roxanas at ed.ac.uk