Jonathan Rohleder

Associate Professor
Department of Mathematics

Campus Albano, house 1 (Albanovägen 28), Room E1349
jonathan.rohleder[at]math.su.se
+46 08-16 45 46

Postal address:
Matematiska institutionen
Stockholms universitet
106 91 Stockholm
Sweden


Events
Teaching Autumn Term 2024
  • MM2001 Matematik I: analys del 2
Current externally funded research projects
  • A new tool in spectral geometry, funded by the Swedish Research Council (VR), 2023-2026
Research Topics
  • Spectral theory
  • Elliptic differential operators
  • Quantum graphs
  • Inverse problems
  • Schrödinger operators with singular interactions
Publications
Refereed publications
  1. Corentin Léna and Jonathan Rohleder
    Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width
    Anal. Math. Phys.14 (2024), Paper No. 42; arXiv

  2. Jonathan Rohleder and Christian Seifert
    Spectral theory for Schrödinger operators on compact metric graphs with δ and δ' couplings: a survey
    Trends Math., accepted for publication; arXiv

  3. Nausica Aldeghi and Jonathan Rohleder
    Inequalities between the lowest eigenvalues of Laplacians with mixed boundary conditions
    J. Math. Anal. Appl. 524 (2023), no. 1, Paper No. 127078; arXiv

  4. Hannes Gernandt and Jonathan Rohleder
    A Calderón type inverse problem for tree graphs
    Linear Algebra Appl. 646 (2022), 29-42; arXiv

  5. Jonathan Rohleder
    Quantum trees which maximize higher eigenvalues are unbalanced
    Proc. Amer. Math. Soc. Ser. B 9 (2022), 50–59; arXiv

  6. James B. Kennedy and Jonathan Rohleder
    On the hot spots of quantum graphs
    Commun. Pure Appl. Anal. 20 (2021), no. 9, 3029-3063; arXiv

  7. Jacob Muller and Jonathan Rohleder
    The Krein-von Neumann extension for Schrödinger operators on metric graphs
    Complex Anal. Oper. Theory 15 (2021), no. 2, 27; arXiv

  8. Jonathan Rohleder
    Inequalities between Neumann and Dirichlet eigenvalues of Schrödinger operators
    J. Spectr. Theory 11 (2021), 915-933; arXiv

  9. Pavel Kurasov and Jonathan Rohleder
    Laplacians on bipartite metric graphs
    Oper. Matrices 14 (2020), 535-553; arXiv

  10. Jussi Behrndt and Jonathan Rohleder
    Inverse problems with partial data for elliptic operators on unbounded Lipschitz domains
    Inverse Problems 36 (2020) 035009 (18pp); arXiv

  11. Jonathan Rohleder and Christian Seifert
    Spectral monotonicity for Schrödinger operators on metric graphs
    Oper. Theory Adv. Appl. 281 (2020), 291-310; arXiv

  12. Jonathan Rohleder
    A remark on the order of mixed Dirichlet-Neumann eigenvalues of polygons
    Oper. Theory Adv. Appl. 276 (2020), 570-575; arXiv

  13. Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, and Jonathan Rohleder
    Spectral enclosures for non-self-adjoint extensions of symmetric operators
    J. Funct. Anal. 275 (2018), 1808–1888; arXiv

  14. Jussi Behrndt, Jonathan Rohleder, and Simon Stadler
    Eigenvalue inequalities for Schrödinger operators on unbounded Lipschitz domains
    J. Spectr. Theory 8 (2018), 493-508; arXiv

  15. Christian Kühn and Jonathan Rohleder
    Visibility of quantum graph spectrum from the vertices
    J. Phys. A: Math. Theor. 51 (2018), 095204 (11pp); arXiv

  16. Jonathan Rohleder and Christian Seifert
    Absolutely continuous spectrum for Laplacians on radial metric trees and periodicity
    Integral Equations Operator Theory 89 (2017), 439-453; arXiv

  17. Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, and Jonathan Rohleder
    Quasi boundary triples and semibounded self-adjoint extensions
    Proc. Roy. Soc. Edinburgh Sect. A 147 (2017), 895-916; arXiv

  18. Vladimir Lotoreichik and Jonathan Rohleder
    Eigenvalue inequalities for the Laplacian with mixed boundary conditions
    J. Differential Equations 263 (2017), 491-508; arXiv

  19. Jussi Behrndt, Rupert L. Frank, Christian Kühn, Vladimir Lotoreichik, and Jonathan Rohleder
    Spectral theory for Schrödinger operators with δ-interactions supported on curves in ℝ³
    Ann. Henri Poincaré 18 (2017), 1305-1347; arXiv

  20. Jonathan Rohleder
    Eigenvalue estimates for the Laplacian on a metric tree
    Proc. Amer. Math. Soc. 145 (2017), 2119-2129; arXiv

  21. Pavel Exner and Jonathan Rohleder
    Generalized interactions supported on hypersurfaces
    J. Math. Phys. 57 (2016), 041507 (23pp); arXiv

  22. Jussi Behrndt and Jonathan Rohleder
    Titchmarsh-Weyl theory for Schrödinger operators on unbounded domains
    J. Spectr. Theory 6 (2016), 67-87; arXiv

  23. Jussi Behrndt and Jonathan Rohleder
    Spectral analysis of selfadjoint elliptic differential operators, Dirichlet-to-Neumann maps, and abstract Weyl functions
    Adv. Math. 285 (2015), 1301-1338; arXiv

  24. Vladimir Lotoreichik and Jonathan Rohleder
    An eigenvalue inequality for Schrödinger operators with δ and δ'-interactions supported on hypersurfaces
    Oper. Theory Adv. Appl. 247 (2015), 173-184; arXiv

  25. Jonathan Rohleder
    Recovering a quantum graph spectrum from vertex data
    J. Phys. A: Math. Theor. 48 (2015), 165202 (20pp); arXiv; Publisher's pick

  26. Jonathan Rohleder
    Strict inequality of Robin eigenvalues for elliptic differential operators on Lipschitz domains
    J. Math. Anal. Appl. 418 (2014), 978–984; arXiv

  27. Jussi Behrndt and Jonathan Rohleder
    An inverse problem of Calderón type with partial data
    Comm. Partial Differential Equations 37 (2012), 1141–1159; arXiv

  28. Vladimir Lotoreichik and Jonathan Rohleder
    Schatten-von Neumann estimates for resolvent differences of Robin Laplacians on a half-space
    Oper. Theory Adv. Appl. 221 (2012), 453–468; arXiv
Submitted papers
  1. Pavel Exner and Jonathan Rohleder
    Optimization of quantum graph eigenvalues with preferred orientation vertex conditions; arXiv

  2. James B. Kennedy and Jonathan Rohleder
    On the hot spots conjecture in higher dimensions; arXiv

  3. Jonathan Rohleder
    Curl curl versus Dirichlet Laplacian eigenvalues; arXiv

  4. Nausica Aldeghi and Jonathan Rohleder
    On the first eigenvalue and eigenfunction of the Laplacian with mixed boundary conditions; arXiv

  5. Jonathan Rohleder
    Inequalities between Neumann and Dirichlet Laplacian eigenvalues on planar domains; arXiv

  6. Jonathan Rohleder
    A new approach to the hot spots conjecture; arXiv
Conference proceedings
  1. Jonathan Rohleder
    A variational approach to the hot spots conjecture
    Extended Abstracts 2021/2022, Methusalem Lectures, Trends Math. 2024; arXiv

  2. James Kennedy and Jonathan Rohleder
    On the hot spots of quantum trees
    Proc. Appl. Math. Mech. 18 (2018); arXiv

  3. Jussi Behrndt, Christian Kühn, and Jonathan Rohleder
    Eigenvalues of Schrödinger operators and Dirichlet-to-Neumann maps
    Proc. Appl. Math. Mech. 13 (2013), 517–518

  4. Jonathan Rohleder
    Spectral properties of selfadjoint Schrödinger operators and Dirichlet-to-Neumann maps
    Oberwolfach Rep. 02 (2012), 26–28

  5. Jussi Behrndt, Christian Kühn, and Jonathan Rohleder
    Selfadjoint Schrödinger operators on the half-space with compactly supported Robin boundary conditions
    Proc. Appl. Math. Mech. 11 (2011), 885–886

  6. Jussi Behrndt and Jonathan Rohleder
    A characterization of the eigenvalues of Schrödinger operators with Dirichlet and Neumann boundary conditions
    Proc. Appl. Math. Mech. 10 (2010), 657–658

  7. Jussi Behrndt and Jonathan Rohleder
    An L² model for selfadjoint elliptic differential operators with constant coefficients on bounded domains
    Proc. Appl. Math. Mech. 9 (2009), 673–674
Theses
  1. Jonathan Rohleder
    Titchmarsh-Weyl Theory and Inverse Problems for Elliptic Differential Operators, Dissertation, TU Graz, 2013 University Press TU Graz

  2. Jonathan Rohleder
    Ein Multiplikationsoperator-Modell für selbstadjungierte Realisierungen elliptischer Differentialausdrücke auf beschränkten Gebieten, Diploma Thesis, TU Berlin, 2009