Lecture notes
Everybody is welcome to make use of the notes below. The readers, if they use
them e.g. when giving a course or for their research, are only requested to treat them
the same way as a published material and to acknowledge them accordingly.
- pdf Several Complex Variables,
PhD course, UAM, Fall 2014
- pdf
Cauchy-Riemann meet Monge-Ampère, Bulletin of Mathematical Sciences
4 (2014), 433-480
- pdf
Minicourse on pluripotential theory, University of Vienna, September 2012
- pdf
The complex Monge-Ampère equation in Kähler geometry, course given
at CIME Summer School in Pluripotential Theory, Cetraro, Italy, July 2011,
eds. F. Bracci, J. E. Fornæss, Lecture Notes in Mathematics 2075, pp. 95-142,
Springer, 2013
- pdf Bergman kernel and metric,
PhD course, Jagiellonian University, Fall 2010
- pdf PDE,
part of an undergraduate course, Jagiellonian University, Spring 2010
- pdf Funkcje analityczne,
jednosemestralny wykład dla sekcji nieteoretycznych, Uniwersytet Jagielloński,
2008
- pdf Funkcje analityczne,
dwusemestralny wykład dla sekcji teoretycznej, Uniwersytet Jagielloński, 2007
- pdf
Some applications of the Ohsawa-Takegoshi extension theorem,
lecture given at the University of Hong Kong, May 2, 2007, appeared in
Expositiones Mathematicae, 27 (2009), 125-135
- pdf
The Calabi-Yau theorem, course given at the Winter School in Complex Analysis,
Toulouse, January 2005, appeared in "Complex Monge-Ampère equations and
geodesics in the space of Kähler metrics", ed. V. Guedj, Lecture Notes in Mathematics 2038,
pp. 201-227, Springer, 2012.
- pdf
Defining nonlinear elliptic operators for non-smooth functions,
appeared in: Complex Analysis and Digital Geometry, Proceedings from the
Kiselmanfest, 2006, ed. M. Passare, Acta Universitatis Upsaliensis, vol. 86,
pp. 111-124, Uppsala, 2009
- pdf
The complex Monge-Ampère operator in pluripotential theory,
unfinished lecture notes based on graduate course at Jagiellonian
University, 1997, last modified: November 2002
Back to main
page