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, COMPLEX HESSIAN MEASURES WITH RESPECT TO A BACKGROUND HERMITIAN FORM, Analysis & PDE 19 (2026), 107-166
- Sławomir Kołodziej, Ngoc Cuong Nguyen, Weak convergence of Monge-Ampère measures on compact Hermitian manifolds, vol. Springer Proc. Math. Stat., 481 (2025), "Complex Geometric Analysis", Springer
- Sławomir Kołodziej, Ngoc Cuong Nguyen, A remark on the Hölder regularity of solutions to the complex Hessian equation, Journal of Functional Analysis 289 (2025), 111005
- 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), 1
- 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
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