List of
publications
Research articles:
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. Resolutions of determinantal varieties and tensor complexes
associated
with symmetric and antisymmetric matrix,
Asterisque 87-88
(1981), 109-189 (with T. Jozefiak and J. Weyman).
4. Classes of determinantal varieties
associated with
symmetric
and antisymmetric matrices,
Algebraic Geometry, Bucharest 1980,
Teubner Texte zur Mathematik 40
(1981), 106-108.
5. 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.
(4.,5. with T. Jozefiak and A. Lascoux).
6. Characteristic free resolution of (n-2)-order Pfaffians of
nxn
antisymmetric matrix, Journal of Algebra 78 (1982), 386-396.
7. Equerres et fonctions de Schur, C. R. Acad. Sci.
Paris
299, Serie I (1984), 955-958 (with A. Lascoux).
8. Complexes associated with trace and evaluation; another
approach
to Lascoux's resolution, Advances in Math. 57
(1985), 163-207.
9. 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,
(8.,9.
with J. Weyman).
10. Foncteurs de Schubert, C. R. Acad. Sci. Paris
304,
Serie I, (1987), 209-211 (with W. Kraskiewicz).
11. A note on elimination theory, Indagationes Math.
49
(1987), 215-221.
12. Determinantal varieties and symmetric polynomials,
Functorial
Analysis and Its Applications, 21 (1987), 89-90 (in Russian);
English translation: (1988), 249-251.
13. Ribbon Schur functions,
European Journal of
Combinatorics
9 (1988), 581-592.
14. S-function series, Journal of Physics A: Math.
Gen.
21 (1988), 4105-4114,
(13.,14. with A. Lascoux).
15. Enumerative geometry of degeneracy loci, Ann.
scient.
Ec. Norm. Sup. 4e Serie, 21 (1988), 413-454.
16. On the generic free resolutions, Journal of
Algebra
128 (1990), 1-44, (with J. Weyman).
17. 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.
18. 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.
19. A determinantal formula for skew Q-functions,
Journal
of the London Mathematical Society, (2) 43
(1991), 76-90 (with T. Jozefiak).
20. Characteristic numbers of degeneracy loci, in
Enumerative
Algebraic Geometry, Proceedings of "The 1989 Zeuthen Symposium",
Contemporary
Mathematics, A.M.S. 123 (1991), 189-197 (with A.
Parusinski).
21. Cohomology of Schubert subvarieties of Gl(n)/P,
Journal
of Differential Geometry, 35 (1992), 511-519 (with E. Akyildiz and A.
Lascoux).
22. On a Jacobi-Trudi formula for supersymmetric polynomials,
Advances in Mathematics, 95 (1992), 8-17 (with A. Thorup).
23. Divided differences and ideals generated by symmetric
polynomials,
Discrete Mathematics, 126 (1994), 209-215 (with A. Lascoux).
24. Polynomials homologically
supported
on degeneracy loci, Ann. della Scuola Normale Superiore di
Pisa, Serie IV, 23(1) (1996), 99-118.
25. Pieri type formula for isotropic Grassmannians; the
operator
approach, Manuscripta Math. 79 (1993), 127-151.
26. A Pieri-type formula for Sp(2m)/P and SO(2m+1)/P,
C.
R. Acad. Sci. Paris, 317, Serie I (1993), 1035-1040,
(24.,25.,26. with
J.
Ratajski).
27. A formula for the Euler characteristic of singular
hypersurfaces,
Journal of Algebraic Geometry, 4 (1995), 337-351.
28. Chern-Schwartz-MacPherson classes and the Euler
characteristic
of degeneracy loci and special divisors,
Journal of the
A.M.S.,
8 (1995), 793-817,
(27., 28. with A. Parusinski).
29. A Pieri-type theorem for Lagrangian and odd Orthogonal
Grassmannians,
J. reine angew. Math. 476 (1996), 143-189,
(with J. Ratajski).
30. On the class of Brill-Noether loci for Prym varieties,
Math. Annalen 302 (1995), 687-697 (with C. De Concini).
31. Symmetric polynomials and divided differences in formulas
of
intersection theory, in "Parameter Spaces", Banach Center
Publications, vol. 36 (1996), 125-177.
32. Formulas for Lagrangian and orthogonal degeneracy loci;
\~Q-polynomial
approach, Compositio Math. 107 (1997), 11-87
(with J.
Ratajski).
33.
A generalization of the Macdonald-You formula, J.
of
Algebra 204 (1998), 573-587.
34. Operator calculus for \~Q-polynomials and Schubert
polynomials,
Advances in Mathematics 140 (1998), 1-43.
35. 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., Birkhauser, Series: Trends
in
Mathematics, pp. 239-263, 2000
(34.,35. with A. Lascoux).
36. Addendum to : ''A generalization of the Macdonald-You
formula'',
J. of Algebra, 226 (2000), 639-648.
37. 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).
38. Characteristic classes of hypersurfaces and characteristic
cycles,
Journal of Algebraic Geometry 10 (2001), 63-79
(with A. Parusinski).
39. Jacobians of symmetric polynomials, Annals of Combinatorics
6
(2002), 169-172.
40. Double Sylvester sums for subresultants and multi-Schur
functions, Journal of Symbolic Computation 35(6)
(2003), 689-710.
(39., 40. with A. Lascoux).
41. 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).
42. A Pieri-type formula for even orthogonal Grassmannians,
Fundamenta Mathematicae 178 (2003), 49-96 (with J. Ratajski).
43. Schubert functors and Schubert
polynomials,
in the special volume of European Journal of Combinatorics 25/8
in honor
of
Alain Lascoux (2004), 1327-1344 (with W. Kraskiewicz).
44.
Multiplying
Schubert classes, in "Topics in cohomological studies of
algebraic
varieties", Trends in Mathematics,
Birkhauser (2005) 163-174.
45. Bezoutians, Euclidean algorithm, and orthogonal polynomials, Annals of Combinatorics 9 (2005), 301-319 (with A. Lascoux).
46. 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.
47. Thom
polynomials
and Schur functions I,
math.AG/0509234.
48.
Positivity
of Schur function expansions of Thom polynomials,
Fundamenta Mathematicae 195
(2007), 85-95
(with A. Weber).
49. Thom polynomials and Schur functions: the singularities I_{2,2}(-), Annales de l' Institut Fourier 57 no. 5 (2007), 1487-1508.
50. Diagonal
subschemes and vector
bundles, (with V. Srinivas and V. Pati), in the special volume
of Pure and Applied Mathematics Quaterly
(2008) vol.4, no.4, part 1, dedicated to
J-P.
Serre on his 80th Birthday (S.T. Yau et al. eds.),
pp.1233-1278.
51. 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.
52. 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, 2007, 105-116.
53. Thom polynomials of invariant
cones, Schur functions,
and positivity, in: "Algebraic
cycles, sheaves, shtukas, and moduli",
"Trends
in Mathematics", Birkhauser, 2007, 117-129 (with A. Weber).
54.
Positivity of Thom polynomials II: the
Lagrange singularities , Fundamenta
Math. 202 (2009), 65-79
(with M.
Mikosz and
A. Weber).
55. 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.AG/08023669, to
appear in Math. Nachrichten.
56. Thom polynomials and Schur
functions: the singularities
A_3(-), math.AG/08102445, Publ. RIMS Kyoto
Univ. 46
(2010), 183-200
(with A.
Lascoux).
57. Positivity of Legendrian Thom
polynomials (with M. Mikosz and A. Weber)
[in
preparation].
Book:
Schubert Varieties and Degeneracy Loci, Springer
Lecture
Notes in Math. 1689 (1998) (with W. Fulton).
Edited books:
E1. Parameter Spaces; enumerative geometry, algebra and combinatorics, Banach Center Publications 36, Warsaw 1996.
E2. Algebraic Geometry: Hirzebruch 70, Contemporary Mathematics A.M.S. 241, Providence R.I. 1999 (with M. Szurek and J.Wisniewski).
E3. Proceedings of the AGAAP Conference 2003, Serdica Math. J. vol. 30 (2004), 2-3 (with V. Brinzanescu and V. Drensky).
E4. Topics in cohomological studies of algebraic varieties; Impanga Lecture Notes, in "Trends in Mathematics", Birkhauser 2005.
E5. Algebraic cycles, sheaves,
shtukas, and moduli; Impanga Lecture
Notes, in "Trends in Mathematics", Birkhauser 2007.
E6. Hoene-Wronski: Zycie, Matematyka i Filozofia, Publications of IM PAN, Warszawa 2008 (in Polish).
Other publications:
O1. Status XV problemu Hilberta w roku 1993 (The 15th problem of Hilbert in 1993),
in "Problemy Hilberta", Publications
of the Institute of History of
Sciences
(Polish Academy of Sciences), 175-184 (in Polish).
O2. Zycie
i
dzielo Alexandra Grothendiecka , Wiadomosci Matematyczne (Ann.
Soc.
Math. Pol.) 40 (2004), 107-127 (in Polish).
O3. Architectonique
des formules preferees d'Alain Lascoux in:
"LascouxFestSchrift",
Seminaire Lotharingien de Combinatoire 52
(2005), Article B52d,
39 pp.
O4. Zycie
i dzielo Jozefa Marii Hoene-Wronskiego, Wiadomosci Matematyczne (Ann. Soc.
Math. Pol.) 43 (2007), 67-86 (in
Polish).
Translations and reeditions:
T1. Notes
on
the life and work of Alexander Grothendieck, (translated
from [O2] by Janusz Adamus), in "Topics in cohomological
studies of
algebraic
varieties", Trends in Mathematics, Birkhauser (2005), 11-28.
T2. Life
and
work of Alexander Grothendieck , (translated from [O2] by Abe
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 Jan 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
Ozer 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,
(translation from [O4], [T3] by Magda Jarosz, Letterio Gatto
and
Francesca Mori) [submitted].
Notes
from some lectures:
N1. Sir 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 on Symmetric
Polynomials (with D. Laksov, A. Lascoux, and A. Thorup); edited by
A. Thorup (1995);
available at the editor's homepage:
www.math.ku.dk/~thorup/notes/sympol.pdf
Also:
Humor w matematyce,
"Konspekt", Krakow, 1/2007 (28),
106-116
(in Polish).