List of Publications
Schubert Varieties and Degeneracy
Loci, Lecture Notes in Math. vol.1689,
Springer, Berlin 1998 (with W.
Fulton)
E1. Parameter Spaces;
enumerative geometry, algebra and combinatorics,
Banach Center Publications 36,
Warsaw 1996
E2.
Algebraic Geometry: Hirzebruch 70,
Contemporary Mathematics AMS 241,
Providence R.I. 1999 (with M. Szurek and J. Wisniewski)
E3.
Proceedings of the AGAAP
Conference 2003, Serdica Mathematical Journal
30 (2-3), 2004 (with
V. Brinzanescu and V. Drensky)
E4.
Topics in cohomological studies
of algebraic varieties; Impanga Lecture Notes,
Trends in Mathematics, Birkhauser 2005.
E5.
Algebraic cycles, sheaves,
shtukas, and moduli; Impanga Lecture Notes,
Trends in Mathematics, Birkhauser 2008
E6.
Hoene-Wronski: Zycie, Matematyka
i Filozofia, Publications of IM PAN,
Warszawa 2008 (in Polish)
E7. Contributions to Algebraic
Geometry; Impanga Lecture Notes, EMS
Ser. Congr. Rep., EMS Publ. House, Zurich 2012
Research
papers:
1. Syzygies des
Pfaffiens, C. R. Acad. Sci. Paris,
287, Serie I (1978), 89-91
2. Ideals generated by Pfaffians, Journal of
Algebra 61 (1979), 189-198
(1, 2 with T. Jozefiak)
3. On
the syzygies of Grassmannians, Preprint of IM PAN
Torun, 16 pp.,
1980 (with J. Weyman)
(published partially in 10)
4. Resolutions of determinantal varieties and tensor
complexes associated with
symmetric and antisymmetric matrices, Asterisque
87-88 (1981), 109-189 (with
T. Jozefiak and J. Weyman)
5. Classes of determinantal varieties
associated with symmetric and
antisymmetric matrices, Algebraic Geometry, Bucharest
1980, Teubner Texte zur
Mathematik 40 (1981), 106-108
6. Classes of determinantal varieties associated with
symmetric and
skew-symmetric matrices, Izwiestja AN SSSR, vol. 45,
no. 9 (1981), 662-673
(in Russian); English translation: vol. 18 (1982),
575-586
(announced in 5)
(5, 6 with T. Jozefiak and A. Lascoux)
7. Characteristic free resolution of (n-2)-order
Pfaffians of nxn antisymmetric
matrix, Journal of Algebra 78 (1982), 386-396
8. Equerres et
fonctions de Schur, C. R. Acad. Sci. Paris, 299,
Serie I (1984), 955-958
(with A. Lascoux)
9. Complexes associated with trace and evaluation;
another approach to
Lascoux's resolution, Advances in Mathematics 57
(1985), 163-207
(published version of
the IRMA Strasbourg Preprint no.208/P-120, 1983)
10.
On the construction of resolutions of determinantal
ideals: a survey,
Seminaire d'Algebre Dubreil-Malliavin 1985 (M.-P. Malliavin ed.)
Springer Lect. Notes
in Math. 1220 (1986), 73-92
(9, 10 with J. Weyman)
11. A
new proof of the Giambelli-Thom-Porteous formula, Preprint of
IM PAN
Torun, 5 pp., 1985
(published in 37)
12. Foncteurs de Schubert,
C. R. Acad. Sci. Paris, 304, Serie I (1987), 209-211
(with W. Kraskiewicz)
13. Determinantal varieties
and symmetric polynomials, Functorial Analysis and
Its Applications, 21 (1987), 89-90 (in Russian); English
translation: (1988), 249-251
14. A note on the elimination
theory, Indagationes Math. 49 (1987), 215-221
(announced partially in 13; an extended version of the IMPAN
preprint
"A note on the elimination theory I, 1986)
15. Ribbon Schur functions,
European Journal of Combinatorics 9 (1988), 581-592
16. S-function series, Journal of Physics A:
Math. Gen. 21 (1988), 4105-4114
(15, 16 with A. Lascoux)
17. Enumerative geometry of degeneracy loci,
Ann. scient. Ec. Norm. Sup.
4e Serie, 21 (1988), 413-454
(partially announced in
13; an extended version of the IMPAN preprints
"Degeneracy loci and symmetric functions I and II, 1986)
18. On the generic free resolutions, Journal
of Algebra 128 (1990), 1-44
(with J. Weyman)
19. Cycles of isotropic subspaces and formulas for
symmetric degeneracy loci,
Topics in Algebra, Banach Center Publications, Polish Scientific
Publishers (S. Balcerzyk
et al. eds.) vol. 26 (2) (1990), 189-199
20. Euler
characteristic of degeneracy loci, Preprint of MPI Bonn
no.68, 1990 (with
A. Parusinski)
(published in 33)
21. Algebro-geometric applications of Schur S- and
Q-polynomials, in
"Topics in Invariant Theory", Seminaire d'Algebre
Dubreil-Malliavin 1989-1990
(M-P. Malliavin ed.), Springer Lect. Notes in Math. 1478
(1991), 130-191
(published version of the
Dept. Math. KTH Stockholm Preprint no.14, 1988;
contains the IMPAN preprint "A note on the elimination theory
II", 1986)
22. A determinantal formula for skew Q-functions,
Journal of the London
Mathematical Society, (2) 43 (1991), 76-90 (with T.
Jozefiak)
23. Characteristic numbers of degeneracy loci,
in Enumerative Algebraic Geometry,
Proceedings of "The 1989 Zeuthen Symposium", Contemporary
Mathematics
AMS 123 (1991), 189-197 (with A. Parusinski)
(published version of the
Dept. Math. Univ. Ferrara Prepint no.147, 1990)
24. Cohomology of Schubert subvarieties of Gl_n/P,
Journal of Differential
Geometry 35 (1992), 511-519 (with E. Akyildiz and A. Lascoux)
(published version of the
Dept. Math. King Fahd Univ. Petroleum and Minerals
Preprint no.112, 1989)
25. On a Jacobi-Trudi formula
for supersymmetric polynomials,
Advances in Mathematics, 95 (1992), 8-17 (with A. Thorup)
(published version of the
Dept. Math. Copenhagen Univ. Preprint no.16, 1990)
26. Pieri type formula for isotropic Grassmannians; the
operator approach,
Manuscripta Math. 79 (1993), 127-151 (with J. Ratajski)
(published version of
the MPI Bonn Preprint No.9, 1992)
27. Geometric
applications of symmetric polynomials; some recent
developments,
MPI Bonn Preprint No.16 (1992)
(published in 37)
28. A Pieri-type formula for
Sp(2m)/P and SO(2m+1)/P, C. R. Acad. Sci. Paris, 317,
Serie I (1993), 1035-1040
(published version of the IHES
Preprint no.4 , 1993)
29. Formulas
for some symplectic and orthogonal degeneracy loci,
manuscript 11 pp., Math. Inst. Polish Acad. Sci., Torun,
August 1993
(published in 38)
(28, 29 with J. Ratajski)
30. Divided differences and ideals generated by
symmetric polynomials,
Discrete Mathematics, 126 (1994), 209-215 (with A. Lascoux)
(published version of
the Dept. Math. Univ. Bergen Preprint no.59-25-04-91)
31. Polynomials homologically
supported on degeneracy loci, Ann. della Scuola
Normale Superiore di Pisa, Serie IV, 23(1) (1996), 99-118 (with
J. Ratajski)
(published version of the
Dept. Math. Univ. Bergen Preprint no.61-25-10-91)
32. A formula for the Euler
characteristic of singular hypersurfaces, Journal
of Algebraic Geometry, 4 (1995), 337-351
(published version of the
Dept. Math. Univ. Sydney Preprint no.16, 1994)
33. Chern-Schwartz-MacPherson classes and the Euler
characteristic of
degeneracy loci and special divisors, Journal of the
Amer. Math. Soc. 8
(1995), 793-817
(published version of the
Dept. Math. Univ. Sydney Preprint no.17, 1994 )
(32, 33 with A. Parusinski)
34. Fundamental
classes, diagonals and Gysin maps, Preprint of MPI Bonn
no.141, 1995
(published in 37 and 38)
35. A Pieri-type theorem for Lagrangian and odd
Orthogonal Grassmannians,
J. reine angew. Math. 476 (1996), 143-189 (with J. Ratajski)
(published version of the MPI
Bonn Preprint no.15, 1994)
36. On the class of Brill-Noether loci for Prym
varieties, Math. Annalen 302
(1995), 687-697 (with C. De Concini)
(extended and published
version of the SNS Pisa Preprint no.17, 1994)
37. Symmetric polynomials and divided differences in
formulas of intersection
theory, in "Parameter Spaces", Banach Center
Publications, vol. 36 (1996), 125-177
(extended and published
version of 27 and arXiv:alg-geom/9605014)
38. Formulas for Lagrangian
and orthogonal degeneracy loci; \~Q-polynomial
approach, Compositio Math. 107 (1997), 11-87 (with J.
Ratajski)
(extended and published
version of the MPI Bonn Preprint no.132, 1994
and arXiv:alg-geom/9602019)
39.
A generalization of the Macdonald-You formula,
Journal of Algebra 204 (1998),
573-587 (published version of
the IM PAN Warsaw Preprint no.573, 1997)
40. Operator calculus for \~Q-polynomials and Schubert
polynomials, Advances in
Mathematics 140 (1998), 1-43
41. Schur Q-functions and degeneracy locus formulas for
morphisms with
symmetries, in "Recent Progress in Intersection
Theory", G. Ellingsrud,
W. Fulton, and A. Vistoli eds., Trends in Mathematics,
Birkhauser, 2000, 239-263
(published version of arXiv/9901126)
(40, 41 with A.
Lascoux)
42. Addendum to : ''A generalization of the
Macdonald-You formula'', Journal
of Algebra 226 (2000), 639-648
(published version of the note
"Restricting Schubert classes": arXiv math/9907092)
43. Orthogonal divided differences and Schubert
polynomials, \~P-polynomials,
and vertex operators, in the special volume 48 of
Michigan Mathematical Journal,
in honor of William Fulton (2000), 417-441 (with A.
Lascoux)
(published version of
arXiv:math/0008006)
44. The
degrees of Schubert varieties on SO(2n+1)/U(n),
Preprint of Inst.Math.Chinese
Acad. Sci. Beijing, 9 pp., 2001 (with D. Haibao)
(published in 48)
45. Characteristic classes of hypersurfaces and
characteristic cycles, Journal of
Algebraic Geometry 10 (2001), 63-79 (with A. Parusinski)
(published version of the
Dept. Math. Univ. Angers Preprint no.51, 1998
and arXiv:math/9801102)
46. Jacobians of symmetric polynomials, Annals of
Combinatorics 6 (2002), 169-172
47. Double Sylvester sums for subresultants and
multi-Schur functions, Journal of
Symbolic Computation 35(6) (2003), 689-710
(published version of the MPI
Bonn Preprint no.30, 2001)
(46, 47 with A. Lascoux)
48. Divided differences of type D and the Grassmannian
of complex structures, in:
''Algebraic Combinatorics and Quantum Groups'', N. Jing ed.,
World Scientific (2003),
31-60 (with H. Duan)
(published version of the MPI
Bonn Preprint no.107, 2001)
49. A Pieri-type formula for even orthogonal
Grassmannians, Fundamenta
Mathematicae 178 (2003), 49-96 (with J. Ratajski)
(published version of the MPI
Bonn Preprint no.83, 1996)
50. Architectonique
des formules preferees d'Alain Lascoux in:
"LascouxFestSchrift",
Seminaire Lotharingien de Combinatoire 52 (2005), Article B52d, 39
pp.
51. Schubert functors and Schubert
polynomials, in the special volume of European
Journal of Combinatorics 25/8 in honour of Alain
Lascoux (2004), 1327-1344
(with W. Kraskiewicz)
(announced in 12; extended and
published version of the authors' Dept. Math.
Univ. Torun Preprint, 1986 )
52.
Multiplying Schubert classes,
in "Topics in cohomological studies of algebraic
varieties", Trends in Mathematics, Birkhauser (2005) 163-174
53.
Bezoutians, Euclidean algorithm, and orthogonal polynomials,
Annals of
Combinatorics 9 (2005), 301-319 (with A.
Lascoux)
54. Formulas
for
\~Q-functions: a survey for Brian in: "Symmetry,
Spectroscopy,
and SCHUR", Proceedings of the Brian Wybourne
Commemorative Meeting
(R.C. King et al. eds.), N. Copernicus Press, Torun
(2006), 231-240
55. Thom
polynomials
and
Schur functions I, math.AG/0509234
(published in 57, 59 and 64)
56.
Positivity of Schur function
expansions of Thom polynomials, Fundamenta
Mathematicae 195
(2007), 85-95 (with A. Weber)
(extended and published
version of the MPI Bonn Preprint no.60, 2006
and arXiv:math/0605308)
57. Thom
polynomials
and
Schur functions: the singularities I_{2,2}(-), Annales
de l' Institut Fourier 57 no. 5 (2007), 1487-1508
(extended and published
version of the MPI Bonn Preprint no.83, 2006
and arXiv:0705.1375)
58. Diagonal
subschemes
and vector bundles, Pure and Applied Mathematics
Quaterly vol.4, no.4, part 1 of 2, Special Issue in
honor of Jean-Pierre Serre
(2008), 1233-1278 (with V. Pati and V. Srinivas)
(published version of the MPI
Bonn Preprint no.110, 2006 and
arXiv:math/0609381)
59. Thom
polynomials
and
Schur functions: towards the singularities A_i(-) ,
in: "Real and complex singularities - Sao Carlos 2006",
Contemporary Mathematics
AMS 459, (2008) 165-178
(extended and published
version of the MPI Bonn Preprint no.139, 2006
and arXiv:0810.2441)
60. Miscellany on the zero schemes of
sections of vector bundles, (notes by
O. Ozturk), in "Algebraic cycles, sheaves, shtukas, and
moduli", Trends in
Mathematics, Birkhauser, 2008, 105-116
61. Thom polynomials of
invariant cones, Schur functions, and positivity, in:
"Algebraic cycles, sheaves, shtukas, and moduli, Trends in
Mathematics, Birkhauser,
2008,
117-129 (with A. Weber)
(published version of
arXiv:0709.1191)
62. Positivity of Thom polynomials II:
the Lagrange singularities, Fundamenta
Mathematicae 202 (2009), 65-79 (with
M. Mikosz and A. Weber)
(published version of
arXiv:0710.5251)
63. A note on the Chow groups of
projective determinantal varieties ,
an appendix to [G. and M. Kapustka "A cascade of
determinantal Calabi-Yau
threefolds"], Math. Nachrichten 283(12) (2010),
1829–1832
64. Thom polynomials and Schur functions:
the singularities A_3(-),
Publ. RIMS
Kyoto Univ. 46 (2010), 183-200 (with A. Lascoux)
(published version of the RIMS Kyoto
Preprint no.1638, 2008
and
arXiv:0810.2445)
65. Positivity of Legendrian
Thom polynomials, Journal of Differential
Geometry
89(1) (2011), 111-132 (with M. Mikosz and A. Weber)
(published version of
arXiv:1005.1283)
66. On Schur function expansions
of Thom polynomials in
"Contributions to
Algebraic
Geometry", EMS Ser.Congr.Rep., EMS Publ. House, Zurich 2012,
443-479
(with O. Ozturk)
(published version of arXiv:1111.6612)
67. Positivity of Thom
polynomials and Schubert calculus, Advanced Studies
in Pure
Mathematics Vol. 71 (2016) "Schubert Calculus - Osaka 2012"
pp. 419-451
(published
version of arXiv:1304.2573)
68. A Gysin formula for
Hall-Littlewood polynomials, Proc. Amer. Math. Soc. 143
(2015)
no.11, 4705-4711; Corrigenda 144 (2016) no.7 p. 3197
(arXiv:1403.0788)
69. Diagonals of flag bundles (with S. Kaji)
(arXiv:
1503.03217)
70. Universal Gysin formulas for flag bundles, International
Journal
of
Mathematics Vol. 28, No.11 (2017) 1750077 (23 pages) (with
L. Darondeau)
(arXiv:
1510.07852)
71. On a certain family of U(b)-modules, in: "Schubert varieties, equivariant
cohomology and characteristic classes, IMPANGA 15", EMS
Ser. Congr. Rep.,
EMS Publ. House, Zurich
(2018), 203-224
(arXiv:
1603.0018)
72. Gysin maps, duality, and Schubert classes, Fundamenta
Mathematicae
244 (2019), 191-208 (with
L. Darondeau)
(arXiv:
1602.01983)
73. Flag bundles, Segre polynomials, and push-forwards, in
"Schubert
Calculus
and its applications in combinatorics and representation theory",
Springer
Proceedings in Mathematics & Statistics 332
(2020), 17-25
(with L.
Darondeau)
(arXiv:
1802.09039)
74. Order of tangency between manifolds, in "Schubert
Calculus and its
applications in combinatorics and representation theory",
Springer Proceedings
in
Mathematics & Statistics 332 (2020), 27-42 (with
W. Domitrz and P. Mormul)
(arXiv:
1803.07664)
75. On some properties of the Łojasiewicz exponent,
Comptes Rendus.
Mathematique, Volume 359 (2021), no.8 p. 991-997
(with
Ch. Eyral and T. Mostowski)
(arXiv:2003.13031)
Other publications:
O1.
Status XV problemu Hilberta w roku 1993, in "Problemy Hilberta",
Publications
of Institute of History of Sciences of Polish Academy of
Sciences, Warszawa 1997,
175-184 (in Polish)
O2. Geometria enumeratywna
rozmaitosci osobliwych, in "Dzialalnosc naukowa:
wybrane zagadnienia", Polska Akademia Nauk, Warszawa 2000, no.9,
111-113
(in Polish)
O3.
Zycie i dzielo Alexandra
Grothendiecka, Wiadomosci Matematyczne 40 (2004)
107-127 (in Polish)
O4. Zycie i dzielo Jozefa Marii
Hoene-Wronskiego,
Wiadomosci Matematyczne
43 (2007) 67-86 (in
Polish)
O5. Jaroslaw Wlodarczyk
pierwszym laureatem Nagrody IM PAN, Wiadomosci
Matematyczne 46(1) (2010)
95-96 (in Polish),
O6. Dziesiec lat Impangi, Wiadomosci
Matematyczne 47(1) (2011) 45-54 (in Polish)
O7. A memorial writing: Alain Lascoux (1944-2013),
2 pp., Advanced
Studies
in Pure Mathematics Vol. 71 (2016) "Schubert Calculus - Osaka
2012"
O8. IMPANGA 2000-2015, in NEWSLETTER of IMPAN, Spring
2015, 8-9
O9. Friedrich Hirzebruch - garść reminiscencji,
Wiadomosci Matematyczne
52(1) (2016) 37-51 (in Polish)
O10. Biogram Piotra Michała Pragacza, Zlota Ksiega
Nauki Polskiej
vol. II, p. 302 (2020) (in Polish)
Translations and
reeditions:
T1. Notes on the life and
work of Alexander Grothendieck, (translated from
[O3] by
J. Adamus), in "Topics in cohomological studies of algebraic
varieties", Trends in
Mathematics, Birkhauser, 2005, xi-xxviii
T2. Life and work of
Alexander Grothendieck, (translated from [O3] by
A. Shenitzer), American Mathematical Monthly 113(9), November 2006,
831-846
T3. Notes on the life and work of
Jozef Maria Hoene-Wronski, (translated from
[O4] by J. Spalinski), in "Algebraic cycles,
sheaves, shtukas, and moduli", Trends in
Mathematics, Birkhauser, 2007, 1-20
T4. Jozef Maria Hoene-Wronski'nin Hayati ve Calismalari
Uzerine Notlar,
(translated into Turkish from [T3] by O. Ozturk), "Oyun"-
the Journal of "Turk Zeka
Vakfi" (Turkish Ingenuity Foundation), June
2008, 4-7 and 52-58
T5. Zycie i dzielo Jozefa Marii
Hoene-Wronskiego
in "Hoene-Wronski: Zycie,
Matematyka i Filozofia", IM PAN Publications 2008, 7-26 (in
Polish; a modified
version of [O4])
T6. La vita e l'opera di
Jozef Maria Hoene-Wronski,
(extension of [O4] for an Italian
reader;
translation from [O4], [T3] by M. Jarosz, L. Gatto and F.
Mori), Atti della
Accademia Peloritana - Classe di Scienze Fisiche, Matematiche e
Naturali vol. 89
no.1 (2011) 19 pp.
T7. Friedrich Hirzebruch - a handful of reminiscences
(extension of [O9]; translation
from [O9] by Masha Vlasenko), in: "Schubert varieties, equivariant cohomology
and characteristic classes, IMPANGA 15", EMS Ser. Congr.
Rep., EMS Publ. House,
Zurich (2018), 9-23
Notes from lectures:
N1. M. Atiyah: Physics and Geometry: a look at the
last twenty years , in
"Algebraic Geometry: Hirzebruch 70", Contemporary
Mathematics AMS 241 (1999)
1-8 (notes by P. Pragacz)
N2. J. Schuermann: Lectures on characteristic classes
of constructible functions,
in "Topics in cohomological studies of algebraic
varieties", Trends in Mathematics,
Birkhauser, 2005, 175-201 (notes by P. Pragacz and
A. Weber)
Unpublished
notes:
The LLPT Notes (with D. Laksov, A. Lascoux, and A. Thorup)
edited by
A. Thorup (1995), available at http:
//web.math.ku.dk/noter/filer/sympol.pdf
Also:
Humor w matematyce,
"Konspekt", Krakow, 1/2007 (28), 106-116 (in Polish)
Corrections to [69]-... and
[Oi], [Ti]
(30.09.2021)