Publications and Preprints

1. Estimates for the d-bar-equation on canonical surfaces
   (with M. Andersson, R. Lärkäng, H. Samuelsson Kalm & E. Wulcan),
   Journal of Geometric Analysis 30 (2020), 2974-3001. [arXiv]
2. Dolbeault cohomology of complex nilmanifolds foliated in toroidal groups
   (with A. Fino & S. Rollenske),
   The Quarterly Journal Of Mathematics 70 (2019), 1265-1279. [arXiv]
3. Chern forms of singular metrics on vector bundles
   (with R. Lärkäng, H. Raufi & M. Sera),
   Advances in Mathematics 326 (2018), 465-489. [arXiv]
4. L²-Serre duality on singular complex spaces and rational singularities,
   International Mathematics Research Notices 23 (2018), 7198-7240. [arXiv]
5. Koppelman formulas on affine cones over smooth projective complete intersections
   (with R. Lärkäng),
   Indiana University Mathematical Journal 67 (2018), 753-780. [arXiv]
6. L²-theory for the d-bar-operator on complex spaces with isolated singularities,
   Annales de la Faculté des Sciences de Toulouse Mathématiques 28 (2019), 225-258. [arXiv]
7. Explicit Serre duality on complex spaces
   (with H. Samuelsson Kalm & E. Wulcan),
   Advances in Mathematics 305 (2017), 1320-1355. [arXiv]
8. Modifications of torsion-free coherent analytic sheaves
   (with M. Sera),
   Annales de l'Institut Fourier 67 (2017), 237-265. [arXiv]
9. Koppelman formulas on the A_1-singularity
   (with R. Lärkäng),
   Journal of Mathematical Analysis and Applications 437 (2016), 214-240. [arXiv]
10. Parabolicity of the regular locus of complex varieties,
    Proceedings of the AMS 144 (2016), 225-233. [arXiv]
11. L²-Riemann-Roch for singular complex curves
    (with M. Sera),
    Journal of Singularities 11 (2015), 67-84. [arXiv]
12. Adjunction for the Grauert-Riemenschneider canonical sheaf and extension of L²-cohomology classes
    (with H. Samuelsson Kalm & E. Wulcan),
    Indiana University Mathematical Journal 64 (2015), 533-558. [arXiv]
13. L²-theory for the d-bar-operator on compact complex spaces,
    Duke Mathematical Journal 163 (2014), 2887-2934. [arXiv]
14. L²-properties of the d-bar and the d-bar-Neumann operator on spaces with isolated singularities
    (with N. Ovrelid),
    Mathematische Annalen 359 (2014), 803-838. [arXiv]
15. Subelliptic estimates for the dbar-problem on a singular complex space
    (with D. Ehsani),
    Journal of Geometric Analysis 24 (2014), 1844-1859. [arXiv]
16. Compactness of the d-bar-Neumann operator on singular complex spaces,
    Journal of Functional Analysis 260 (2011), 3363-3403. [arXiv]
17. Friedrichs' extension lemma with boundary values and applications in complex analysis,
    Complex Variables and Elliptic Equations 56 (2011), 423-437. [arXiv]
18. An explicit d-bar-integration formula for weighted homogeneous varieties II, forms of higher degree
    (with E.S. Zeron),
    Michigan Mathematical Journal 59 (2010), 283-295. [arXiv]
19. On Hartogs' extension theorem on (n-1)-complete spaces
    (with M. Coltoiu)
    Journal für die reine und angewandte Mathematik 637 (2009), 41-47. [Preprint]
20. The d-bar equation on homogeneous varieties with an isolated singularity,
    Mathematische Zeitschrift 263 (2009), 447-472. [arXiv]
21. The Dolbeault complex with weights according to normal crossings,
    Mathematische Zeitschrift 263 (2009), 425-445. [arXiv]
22. An explicit d-bar-integration formula for weighted homogeneous varieties
    (with E.S. Zeron),
    Michigan Mathematical Journal 58 (2009), 441-457. [arXiv]
23. About the d-bar equation at isolated singularities with regular exceptional set,
    International Journal of Mathematics 20 (2009), 459-489. [arXiv]
24. A d-bar-theoretical proof of Hartogs' extension theorem on Stein spaces with isolated singularities,
    Journal of Geometric Analysis 18 (2008), 1127-1132. [arXiv]

Conference Proceedings

1. Chern forms of singular metrics on vector bundles,
   Oberwolfach Reports 15 (2018), 2291-2293.
2. L²-Serre duality on singular complex spaces and applications,
   Complex Analysis and Geometry, Proceedings of the KSCV10 Symposium, Springer Proceedings. [arXiv]
3. L²-cohomology of isolated singularities, integral representation formulas and canonical singularities,
   Oberwolfach Reports 12 (2015), 258-260.
4. Analytic Serre duality on singular complex spaces,
   Oberwolfach Reports 11 (2014), 2195-2198.
5. L²-cohomology of singular spaces,
   Oberwolfach Reports 8 (2011), 1102-1105.

Other Publications and Preprints

1. A d-bar theoretical proof of Hartogs' extension theorem on (n-1)-complete spaces,
   Preprint 2008, arXiv:0811.1963.

Qualifying Theses

1. Analysis on Singular Complex Spaces,
   Habilitationsschrift, Wuppertal, 2011, iv+94 pp. [PDF]
2. Zur Regularität der Cauchy-Riemannschen Differentialgleichungen auf komplexen Räumen,
   Dissertation, Bonner Mathematische Schriften 380 (2006), 215 pp. [PDF]
3. Zur Regularität der Cauchy-Riemannschen Differentialgleichungen auf komplexen Kurven,
   Diplomarbeit, Bonn, 2003, 69 pp. [PDF]