My name is Karl Jonsson and I am a PhD student at the Department of Mathematics at KTH in Stockholm. My research interests include

➝ qualitative and quantitative aspects of partial differential equations (PDEs),

➝ free boundaries in PDEs, 

➝ homogenization of nonlinear PDEs.

My research supervisors are Henrik Shahgholian and Olof Runborg. 

I am currently

➝ doing research.

➝ taking courses at KTH,

➝ one of the technical editors for Acta Mathematica.

➝ teaching in the course SF1668 during the fall of 2016 at KTH.

I have previously

➝ studied Engineering Physics (Teknisk fysik) at KTH.

➝ studied theoretical philosophy at Stockholm university.

➝ been teaching at International College, Stockholm.

➝ been programming and data mining at the R&D department at Scania AB.

➝ worked with patents at Uppdragshuset.

➝ attended the ’Free Boundary Program’ at the Isaac Newton Institute in Cambridge,

➝ attended the ’Homogenization and Random Phenomena’ Program at Institut Mittag-Leffler, Stockholm.

➝ attended the EMS summer school ‘Interactions between Dynamical systems and Partial Differential equations’ at Universitat Politèchnica de Catalunya, Barcelona.

➝ been a part of the organizing committee for ”Swedish Study Group for Mathematics in Industry 2015” at Institut Mittag-Leffler.

➝ been the editorial assistant for Acta Mathematica.

Some courses taken

➝ Probability theory

➝ Computational stochastic differential equations

➝ The finite element method

➝ Elliptic partial differential equations and harmonic function theory

➝ Enumerative combinatorics

➝ Integration theory

➝ Chaotic dynamical systems

➝ Functional analysis

➝ Commutative algebra and algebraic geometry

➝ Control theory

➝ Analytic function theory

➝ Modern physics

➝ Mechanics

➝ Philosophy of mind

➝ Modal logic

➝ Computer science

Some current general interests include

➝ Teaching and pedagogy

➝ Programming

➝ Philosophy and psychology

➝ Renewable energy

Previous teaching at KTH

➝ SF1624, CDEPR, Algebra & Geometri, HT2011.

➝ SF1626, CDEPR, Flervariabelanalys, VT2012.

➝ SF1625, CDEPR, Envariabelanalys, HT2012.

➝ SF1624, CDEPR, Algebra & Geometri, HT2013.

➝ SF1663, CFATE, Tillämpad linjär algebra med numeriska metoder, HT2013.

➝ SF1665, CFATE, Tillämpad flervariabelanalys med numeriska metoder, VT2014.

➝ Matematikjour, VT2014.

➝ SF1629, CMEDTE, CTFYS, CLGYM Differentialekvationer och Transformer II, HT2014.

➝ SF1629, CMEDTE, CTFYS, CLGYM Differentialekvationer och Transformer II, HT2015.

➝ BE3002, Numeriska metoder för fysiker I, HT2014.

➝ SF1523, CDEPR, Analytiska och numeriska metoder för differentialekvationer, VT2015.

➝ SF1668, CFATE, Matematisk och numerisk analys, HT2016.