I am a researcher at the Department of Mathematics at KTH Royal Institute of Technology. My research interests are in Partial Differential Equations, Calculus of Variations and Mathematical Physics, with a focus on nonlinear elliptic partial differential equations with connections to nonlinear elasticity, geometric function theory and statistical mechanics.

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Contact

Email:		duse at kth dot se
Address:		KTH Department of Mathematics Lindstedtsvägen 25 SE-100 44 Stockholm Sweden
Office:
Maps:		Campus map (pdf) Google maps

CV

(pdf)

Publications and preprints

1. Conformal Structure of Autonomous Leray-Lions Equations in the Plane and Linearisation by Hodograph Transform
   preprint, arXiv:2201.11721 (2022).
2. Second Order Linear Elliptic Equations and Hodge-Dirac Operators
   J. Funct. Anal. 281(12) , 109267 (2021).
3. A generalized Montel theorem for a class of first order elliptic equations with measurable coefficients
   preprint, arXiv:2011.12185 (2020).
4. Dimer Models and Conformal Structures
   with Kari Astala, István Prause and Xiao Zhong
   preprint, arXiv:2008.07061 (2020).
5. Asymptotic geometry of discrete interlaced patterns: Part II
   with Anthony Metcalfe
   Ann. Inst. Fourier, Grenoble 70, 1 (2020) 375-436.
6. Universal Edge Fluctuations of Discrete Interlaced Patterns
   with Anthony Metcalfe
   Ann. Math. Blaise Pascal Vol. 25 (2018) no. 1. p. 75-197.
7. The Cusp-Airy Process
   with Kurt Johansson and Anthony Metcalfe
   Electron. J. Probab. Vol. 21 (2016) paper no. 57,
8. Asymptotic geometry of discrete interlaced pat- terns: Part I
   with Anthony Metcalfe
   Int. J. Math. Vol. 26 (2015) No. 11



Awards and Grants

• Knut och Alice Wallenbergs Stiftelse postdoctoral scholarship in mathematics Grant number: KAW 2016.0416 (2017)
• Ruth och Nils-Erik Stenbäcks Stiftelse Scholarship in mathematics (2021)



Education and employment

Since July 2020		Researcher at Department of Mathematics KTH Royal Institute of Technology
2019-2020:		Researcher at the Department of Mathematics and Statistics KTH Royal Institute of Technology funded by KAW
2017-2019:		Post-doc at the Department of Mathematics and Statistics Helsinki University funded by KAW
2016-2017:		Post-doc at the Department of Mathematics and Statistics Helsinki University
2010-2015:		Ph.D. in mathematics, KTH
2005-2010:		M.Sc. in engineering physics, KTH

Links

• Focus group Random Matrices, Stochastic Models and Analysis
• KTH Mathematics Calendar
  
• Seminars at KTH: Random Matrix Theory.
• Focus group on geometric analysis and partial differential equations, University of Helsinki
• Studying at KTH: Ph.D. programs in mathematics; M.Sc. program in mathematics, joint with Stockholm University SU at Stockholm Mathematics Center SMC