prof. dr hab. Sławomir Kołodziej

Jednostki:

  • Wydział Matematyki i Informatyki UJ
  • Instytut Matematyki
  • Katedra Analizy Matematycznej

Profesura  Otwarcie: 2004-01-08, Zamknięcie: 2005-04-04

Publikacje:

51.
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 vol. 62 (2023),
50.
Sławomir Kołodziej, Ngoc Cuong Nguyen
Weak Solutions to Monge–Ampère Type Equations on Compact Hermitian Manifold with Boundary, Journal of Geometric Analysis vol. 33 (2023), 15 pp
49.
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 vol. 54 (2022), 772-790
48.
Sławomir Kołodziej, Valentino Tosatti
Morse-type integrals on non-Kähler manifolds, Pure and Applied Mathematics Quarterly vol. 17 (2021), 991–1004
47.
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 vol. 60 (2021), Article number: 93
46.
Sławomir Kołodziej, Ngoc Cuong Nguyen
A Remark on the Continuous Subsolution Problem for the Complex Monge-Amp`ere Equation, Acta Math Vietnam vol. 45 (2020), 83–91
45.
Sławomir Kołodziej, Ngoc Cuong Nguyen
An Inequality Between Complex Hessian Measures of Holder Continuous m-subharmonic Functions and Capacity vol. 333, Progress in Mathematics (2020), " Geometric Analysis", Birkhäuser
44.
Sławomir Kołodziej, Marcin Sroka
Regularity of solutions to the quaternionic Monge-Ampere equation, Journal of Geometric Analysis vol. 30(3) (2020), 2852–2864
43.
Sławomir Kołodziej, Ngoc Cuong Nguyen
Stability and regularity of solutions of the Monge-Ampere equation on Hermitian manifolds, Advances in Mathematics vol. 346 (2019), 264-304
42.
Sławomir Kołodziej, Ngoc Cuong Nguyen
Holder continuous solutions of the Monge-Ampere equation on compact Hermitian manifolds, Annales de l'Institut Fourier vol. 68 (2018), 2951-2964
41.
Sławomir Dinew, Sławomir Kołodziej
Non standard properties of m-subharmonic functions, Dolomites Research Notes On Approximation vol. 11 (2018), 35-50
40.
Sławomir Kołodziej
Weak solutions of the Monge–Ampère equation on compact Hermitian manifolds, International Journal of Mathematics vol. 28 (2017), 1740002
39.
Sławomir Dinew, Sławomir Kołodziej
Liouville and Calabi-Yau type theorems for complex Hessian equations, American Journal of Mathematics vol. 139 (2017), 403-415
38.
Sławomir Kołodziej, Ngoc Cuong Nguyen
Weak solutions of complex Hessian equations on compact Hermitian manifolds, Compositio Mathematica vol. 152 (11) (2016), 2221-2248
37.
Sławomir Kołodziej, Ngoc Cuong Nguyen
Weak solutions to the complex Monge-Ampere equation on Hermitian manifolds, Contemporary Mathematics vol. 644 (2015), 141-158
36.
Sławomir Dinew, Sławomir Kołodziej
A priori estimates for complex Hessian equations, Analysis & PDE vol. 7 (2014), 227-244
35.
Jean-Pierre Demailly , Sławomir Dinew, Vincent Guedj, Sławomir Kołodziej, Hoang Hiep Pham , Ahmed Zeriahi
Hölder continuous solutions to Monge–Ampère equations, Journal of the European Mathematical Society vol. 16 (2014), 619-647
34.
Sławomir Kołodziej
Weak solutions to the complex Monge–Ampere equation, (2012), "European Congress of Mathematics Kraków, 2-7 July, 2012", European Mathematical Society (EMS)
33.
Sławomir Dinew, Sławomir Kołodziej
Pluripotential estimates on compact Hermitian manifolds vol. Advanced Lectures in Math. 21 (2012), "Advances in Geometric Analysis,", International Press, Boston
32.
Urban Cegrell, Sławomir Kołodziej, Ahmed Zeriahi
Maximal subextensions of plurisubharmonic functions, Annales de La Faculté Des Sciences de Toulouse (2011), 101-122
31.
Per Ahag, Urban Cegrell, Pham Hoang Hiep, Sławomir Kołodziej
Partial pluricomplex energy and integrability exponents of plurisubharmonic functions, Advances in Mathematics (2009), 2036-2058
30.
Sławomir Kołodziej, V.Guedj,A.Zeriahi
Hölder continuous solutions to Monge-Ampere equations, Bulletin of the London Mathematical Society (2008), 1070-1080
29.
Sławomir Kołodziej
Hölder continuity of solutions to the complex Monge-Ampere equation with the right-hand side in $Lsp p$: the case of compact Kähler manifolds, Mathematische Annalen (2008), 379-386
28.
Sławomir Kołodziej, G.Tian
A uniform $Lsp infty$ estimate for complex Monge-Ampere equations, Mathematische Annalen (2008), 773-787
27.
Zbigniew Błocki, Sławomir Kołodziej
On regularization of plurisubharmonic functions on manifolds, Proceedings of the American Mathematical Society (2007), 2089-2093
26.
Sławomir Kołodziej, U.Cegrell
The equation of complex Monge-Ampère type and stability of solutions, Mathematische Annalen vol. no. 4, (2006), 713-729
25.
Sławomir Kołodziej
The complex Monge-Ampère equation and pluripotential theory, Memoirs of the American Mathematical Society (2005),
24.
Sławomir Kołodziej
The set of measures given by bounded solutions of the complex Monge-Ampère equation on compact Kähler manifolds, Journal of the London Mathematical Society vol. (2) 72, no. 1, (2005), 225-238
23.
Sławomir Kołodziej, U.Cegrell,A.Zeriahi
Subextension of plurisubharmonic functions with weak singularities, Mathematische Zeitschrift vol. 250 (2005), no. 1 (2005), 7-22
22.
Sławomir Kołodziej
The complex Monge-Ampère equation and methods of pluripotential theory, CUBO MAT. EDUC. 6 (2004), no. 1, 259--279
21.
Sławomir Kołodziej
Regularity of entire solutions to the complex Monge-Ampère equation, COMM. ANAL. GEOM. 12 (2004), no. 5, 1173--1183
20.
Sławomir Kołodziej
The Monge-Ampère equation on compact Kähler manifolds, Indiana University Mathematics Journal vol. 52, no. 3, (2003), 667-686
19.
Sławomir Kołodziej
A regularity theorem for the complex Monge-Ampère equation in $Bbb CBbb Psp n$, ANN. POLON. MATH. 80 (2003), 185--192
18.
Sławomir Kołodziej
Equicontinuity of families of plurisubharmonic functions with bounds on their Monge-Ampere masses, MATH. Z. 240 (2002), no. 4, 835--847
17.
Sławomir Kołodziej
A bounded plurisubharmonic function which is not an infinite sum of continuous plurisubharmonic functions, ICPA98 (HAMMAMET). POTENTIAL ANAL. 15 (2001), no. 1-2, 39--42
16.
Sławomir Kołodziej
Weak solutions of equations of complex Monge-Ampere type, ANN. POLON. MATH. 73 (2000), no. 1, 59--67
15.
Sławomir Kołodziej
A sufficient condition for solvability of the Dirichlet problem for the complex Monge-Ampére operator, Communications in Contemporary Mathematics (1999),
14.
Sławomir Kołodziej, U.Cegrell
The global Dirichlet problem for the complex Monge-Ampére equation, J. GEOM. ANAL. 9 (1999), no. 1, 41--49
13.
Sławomir Kołodziej, U.Cegrell,S.Kolodziej,N.Levenberg
Two problems on potential theory for unbounded sets, MATH. SCAND. 83 (1998), no. 2, 265--276
12.
Sławomir Kołodziej
The complex Monge-Ampére equation, Acta Mathematica (1998), 69-117
11.
Zbigniew Błocki, Sławomir Kołodziej, N.Levenberg
Extremal functions and equilibrium measures for Borel sets, BULL. POLISH ACAD. SCI. MATH. 45 (1997), no. 3, 291--296
10.
Sławomir Kołodziej
Some sufficient conditions for solvability of the Dirichlet problem for the complex Monge-Ampére operator, ANN. POLON. MATH. 65 (1996), no. 1, 11--21
9.
Sławomir Kołodziej, J.Thorbiörnson
Separately harmonic and subharmonic functions, POTENTIAL ANAL. 5 (1996), no. 5, 463--466
8.
Sławomir Kołodziej
The range of the complex Monge-Ampére operator, Indiana University Mathematics Journal (1995), 765-782
7.
Sławomir Kołodziej
The range of the complex Monge-Ampere operator, Indiana University Mathematics Journal (1994), 1321-1338
6.
Sławomir Kołodziej, U.Cegrell
The Dirichlet problem for the complex Monge-Ampére operator: Perron classes and rotation-invariant measures, MICHIGAN MATH. J. 41 (1994), no. 3, 563--569
5.
Sławomir Kołodziej, U.Cegrell
An identity between two capacities, UNIV. IAGEL. ACTA MATH. no. 30 (1993), 155--157
4.
Sławomir Kołodziej, Józef Siciak
Laplace domains, (1992), "Proc. of the 6th Symposium on Classical Analysis", World Scientific Publishing
3.
Sławomir Kołodziej
Jung's type theorem for polynomial transformations of C2, PROCEEDINGS OF THE TENTH CONFERENCE ON ANALYTIC FUNCTIONS (SZCZYRK, 1990). Ann. Polon. Math. 55 (1991), 207--212
2.
Sławomir Kołodziej
Capacities associated to the Siciak extremal function, ANN. POLON. MATH. 49 (1989), no. 3, 279--290
1.
Sławomir Kołodziej
The logarithmic capacity in Cn, ANN. POLON. MATH. 48 (1988), no. 3, 253--267

Konferencje:

25.
Sławomir Kołodziej.
PDE methods in complex geometry. , American Institute of Mathematics, Pasadena, USA, 2024-08-26 - 2024-08-30
24.
Sławomir Kołodziej.
CR geometry and PDEs X, CIRM, Włochy, Levico Terme, Włochy, 2024-05-27 - 2024-05-30
23.
Sławomir Kołodziej, Sławomir Dinew.
Index theory and complex geometry Part 2, IMS-NUS, Singapur, Singapur, 2024-04-29 - 2024-05-03
22.
Zbigniew Hajto, Sławomir Kołodziej, Łukasz Kosiński, Dariusz Zawisza, Paweł Raźny.
Spanish-Polish Mathematical Meeting, PTM, RSME, SEMA, SCM, Łódź, Polska, 2023-09-04 - 2023-09-08
21.
Sławomir Kołodziej.
Complex Analysis, Geometry, and Dynamics - Portorož 2023, Ljubljana University, Portoroż, Słowenia, 2023-06-05 - 2023-06-09
20.
Sławomir Kołodziej, Rafał Czyż, Anand Chavan.
Nordan 2023, Lund University, Lund, Szwecja, 2023-05-05 - 2023-05-07
19.
Sławomir Kołodziej.
Complex Analysis and Geometry - XXVI, CIRM, Levico, Włochy, 2022-09-19 - 2022-09-23
18.
Sławomir Kołodziej.
Geometric Methods of Complex Analysis (hybrid meeting), MFO, Oberwolfach, Niemcy, 2021-05-17 - 2021-05-20
17.
Sławomir Kołodziej.
Current developments in Complex and Analytic Geometry, Istituto Nazionale di Alta Matematica "Francesco Severi", Cortona, Włochy, 2019-06-03 - 2019-06-07
16.
Sławomir Kołodziej.
CR-Geometry and PDE’s – VIII, CIRM Italy, Levico Terme, Włochy, 2018-06-03 - 2018-06-09
15.
Sławomir Kołodziej.
Nevanlinna theory and Complex Geometry in Honor of Lê Văn Thiêm's Centenary, Vietnam Institute for Advanced Study in Mathematics, Hanoi, Wietnam, 2018-02-26 - 2018-03-02
14.
Sławomir Kołodziej.
CONFERENCE ON GEOMETRIC AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, Australian National U., BICMR, PIMS i USYD, South Durras, Australia, 2018-02-05 - 2018-02-09
13.
Sławomir Kołodziej.
Conference on Geometric Analysis, Pacific Institute for the Mathematical Sciences, Vancouver, Kanada, 2017-07-24 - 2017-07-28
12.
Sławomir Kołodziej.
International Conference in Current Developments and New Directions in Kähler Geometry, Center for Mathematics at Notre Dame, South Bend, USA, 2017-06-26 - 2017-06-30
11.
Sławomir Kołodziej.
Complex analyic and differential geometry (Demailly 60), Institute Fourier, Grenoble, Francja, 2017-06-06 - 2017-06-09
10.
Sławomir Kołodziej.
Conference on Complex Geometry, Dynamical Systems and Foliation Theory, Institute for Mathematical Sciences, Singapur, Singapur, 2017-05-15 - 2017-05-19
9.
Sławomir Kołodziej.
The complex Monge-Ampere equation, American Institute of Mathematics, San Jose, USA, 2016-08-14 - 2016-08-19
8.
Sławomir Kołodziej.
Monge-Ampere equation and Calabi-Yau manifolds , Laboratory of Algebraic Geometry, Moskwa, Rosja, 2016-05-23 - 2016-05-27
7.
Sławomir Kołodziej.
Nonlinear Equations Conference, Center of Mathematical Sciences and Applications, Harvard U., Cambridge, USA, 2016-04-08 - 2016-04-10
6.
Sławomir Kołodziej.
Kähler Geometry, Einstein Metrics, and Generalizations, MSRI/Clay Institute, Berkeley, USA, 2016-03-21 - 2016-03-25
5.
Sławomir Kołodziej.
Komplex Analysis Winter School-KAWA 7, Uniwersytety w Barcelonie i Tuluzie, Tuluza-Albi, Francja, 2016-03-07 - 2016-03-12
4.
Sławomir Kołodziej.
Sanya School in Complex Analysis and Geometry , Tsinghua Sanya International Mathematics Forum, Sanya, Chiny, 2016-01-11 - 2016-01-20
3.
Sławomir Kołodziej.
Geometric Methods in Complex Analysis , Oberwolfach Research Institute for Mathematics, Oberwolfach , Niemcy, 2015-01-25 - 2015-01-31
2.
Włodzimierz Zwonek, Sławomir Kołodziej.
Geometric Methods of Complex Analysis, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Niemcy, 2015-01-25 - 2015-01-31
1.
Sławomir Kołodziej.
Complex Geometry and Algebraic Geometry, Beijing International center for Mathematical Science, Pekin, Chiny, 2014-07-14 - 2014-07-18

Konferencje organizowane:

2.
Sławomir Kołodziej.
Symposium on complex analysis and geometry, Będlewo, 2016-06-05, 2016-06-11
1.
Sławomir Kołodziej.
Workshop on geometric analysis, Kraków, 2015-06-01, 2015-06-02

Doktoranci (po 27 października 2003 roku)

DoktorantOtwarcieZakonczenie
Marcin Sroka2020-05-282021-10-21
Ngoc Cuong Nguyen2013-06-272014-09-25
Sławomir Dinew2007-11-292009-10-29

Recenzje (po 27 października 2003 roku)

Granty (realizowane po maju 2009 roku)

Nagrody

RokRodzajRodzaj uhonorowanej działalnościTyp 
2010nagrodawybitny dorobek naukowy lub artystycznykrajowaSzczegóły
2014nagrodawybitny dorobek naukowy lub artystycznyzagranicznaSzczegóły