Most significant publications
- Sławomir Dinew, Sławomir Kołodziej, Liouville and Calabi-Yau type theorems for complex Hessian equations, American Journal of Mathematics 139 (2017), 403-415
- Sławomir Kołodziej, The complex Monge-Ampère equation and pluripotential theory, Memoirs of the American Mathematical Society (2005),
- Sławomir Kołodziej, The Monge-Ampère equation on compact Kähler manifolds, Indiana University Mathematics Journal 52, no. 3, (2003), 667-686
- Sławomir Kołodziej, The complex Monge-Ampére equation, Acta Mathematica (1998), 69-117
Recent publications
- Sławomir Kołodziej, Ngoc Cuong Nguyen, The Dirichlet problem for the Monge–Ampère equation on Hermitian manifolds with boundary, Calculus of Variations and Partial Differential Equations 62 (2023),
- Sławomir Kołodziej, Ngoc Cuong Nguyen, Weak Solutions to Monge–Ampère Type Equations on Compact Hermitian Manifold with Boundary, Journal of Geometric Analysis 33 (2023), 15 pp
- Tien-Cuong Dinh, Sławomir Kołodziej, Ngoc Cuong Nguyen, The complex Sobolev space and Hölder continuous solutions to Monge–Ampère equations, Bulletin of the London Mathematical Society 54 (2022), 772-790
- Sławomir Kołodziej, Valentino Tosatti, Morse-type integrals on non-Kähler manifolds, Pure and Applied Mathematics Quarterly 17 (2021), 991–1004
- Sławomir Kołodziej, Ngoc Cuong Nguyen, Continuous solutions to Monge–Ampère equations on Hermitian manifolds for measures dominated by capacity, Calculus of Variations and Partial Differential Equations 60 (2021), Article number: 93
Interests
Complex geometric analysis. Monge-Ampere and k-Hessian equations and their applications in Kaehler and Hermitian geometry.
Major awards and honours
- Nagroda im. Stefana Bergmana, 2014, American Mathematical Society
Sławomir Kołodziej
academic degree/title Professor positionresearch and faculty staff member group, professor
unit
- Department of Mathematical Analysis
- Institute of Mathematics
slawomir.kolodziej@uj.edu.pl