Papers to download

Title

Date

A formula for the Euler characteristic of singular hypersurfaces, Journal of Algebraic Geometry, 4 (1995), 337-351 (with A.Parusinski).

01.01.2001

Chern-Schwartz-MacPherson classes and the Euler characteristic of degeneracy loci and special divisors, Journal of the A.M.S. 8(1995), 793-817 (with A. Parusinski).

01.01.2001

Symmetric polynomials and divided differences in formulas of intersection theory, in "Parameter Spaces", Banach Center Publications, vol. 36 (ed. P. Pragacz), 1996, 125-177.

01.01.2001

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).

01.01.2001

. Formulas for Lagrangian and orthogonal degeneracy loci; \~Q-polynomial approach, Compositio Mathematica 107 (1997), 11-87, (with J. Ratajski).

01.01.2001

Operator calculus for \~Q-polynomials and Schubert polynomials, Adv. in Math. 140 (1998), 1-43  (with A. Lascoux).

01.01.2001

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, (with A. Lascoux).

01.01.2001

A generalization of the Macdonald-You formula, J. of Algebra 204 (1998), 573-587.

01.01.2001

Addendum to :``A generalization of the Macdonald-You formula", Journal of Algebra, 226 (2000), 639-648.

01.01.2001

Orthogonal divided differences and Schubert polynomials, \~P-polynomials, and vertex operators, in the special volume 48 of Michigan Mathematical Journal, dedicated to William Fulton (2000),  417-441 (with A. Lascoux).

01.01.2001

Characteristic classes of hypersurfaces and characteristic cycles , Journal of Algebraic Geometry,10 (2001), 63-79 (with A. Parusinski).

26.03.2001

Double Sylvester sums for subresultants and multi-Schur functions, Journal of Symbolic Computation, 35(6) (2003), 689-710 (with A. Lascoux).

10.08.2001

Divided differences of type D and the Grassmannian of complex structures, "Algebraic Combinatorics and Quantum Groups", N. Jing ed., World Scientific (2003), 31-60 (with H. Duan). 

24.12.2001

Jacobians of symmetric polynomials, Annals of Combinatorics 6 (2002), 169-172  (with A. Lascoux). 

22.02.2002

A Pieri-type formula for even orthogonal Grassmannians , Fundamenta Math. 178 (2003), 49-96  (with J. Ratajski).

07.08.02/31.01.03

Examples to even orthogonal Pieri manuscript (10 pages) (with J. Ratajski).

07.08.02/31.01.03

Schubert functors and Schubert polynomials, in the special volume 25/8 of European Journ. of Combinatorics dedicated to Alain Lascoux (2004), 1327-1344  (with W. Kraskiewicz).

18.11.2003

Bezoutians, Euclidean algorithm, and orthogonal polynomials, 22 pp.,  Annals of Combinatorics 9 ( 2005)  301-319  (with A. Lascoux).

29.04.04/31.09.04

Zycie i dzielo Alexandra Grothendiecka ( Life and work of Alexander Grothendieck),   22 pp., Wiadomosci Matematyczne (Ann. Soc. Math. Pol.) 40 (2004), 107-127  (in Polish).

10.04.04/08.08.04

Notes on the life and work of Alexander Grothendieck,    18 pp.,  in  "Topics in cohomological studies of algebraic varieties" Birkhauser (2005), 11-28.

25.08.2004

Multiplying Schubert classes,   13 pp., in  "Topics in cohomological studies of algebraic varieties" Birkhauser (2005), 163-174.

25.08.2004

Architectonique des formules preferees d'Alain Lascoux ,  36  pp.,  in  LascouxFestSchrift,  Seminaire Lotharingien de Combinatoire  52  (2005), Article B52d.

15.01.2005

Formulas for \~Q-functions: a survey for Brian  10  pp.,  in "Symmetry, Spectroscopy and SCHUR", Proc. of Brian Wybourne Commem. Conf., N. Copernicus Press, Torun (2006),  231-240.

15.08.2005

Thom polynomials and Schur functions I.,    26  pp.,  preprint (August 2005) .

30.08.2005


Positivity of Schur function expansions of Thom polynomials ,  13 pp.,  Fundamenta Mathematicae  195  (2007),  85-95  (with A. Weber).

10.05.06/04.04.07

Thom polynomials and Schur functions: the singularities I_{2,2}(-) ,    21 pp.,  Annales de l'Institut Fourier  57 (2007), 1487-1508.

29.03.06/15.03.07


Diagonal subschemes and vector bundles ,  46 pp.,  to appear in the special volume of Quarterly Journal of Pure and Applied Mathematics dedicated to J-P. Serre on his 80th Birthday (S.T. Yau et al. eds.)  (with V. Srinivas and V. Pati).

15.08.06/14.01.08

Thom polynomials and Schur functions: towards the singularities A_i(-),   16 pp., in  "Real and complex singularities - Sao Carlos 2006",  Contemporary Mathematics AMS  459 (2008), 165-178.

25.10.06/6.12.07


Zycie i dzielo Jozefa Marii Hoene-Wronskiego ,  22 pp.,  (in Polish), Wiadomosci Matematyczne 43 (2007),  67-86.

31.01.07/04.05.07

Notes on the life and work of Jozef Maria Hoene-Wronski,    22 pp., in: "Algebraic cycles, sheaves, shtukas, and moduli", Trends in Math., Birkhauser, 2007, 1-20.

22.03.07/30.05.07


Miscellany on the zero schemes of sections of vector bundles (notes by O. Ozturk),  13 pp.,  in: "Algebraic cycles, sheaves, shtukas, and moduli", Trends in Math., Birkhauser, 2007, 105-116.

10.04.07/30.05.07


Thom polynomials of invariant cones, Schur functions, and positivity (with A. Weber) ,  14 pp., in: "Algebraic cycles, sheaves, shtukas, and moduli", Trends in Math., Birkhauser, 2007, 117-129.

29.05.2007

Jozef Maria Hoene-Wronski'nin Hayati ve Calismalari Uzerine Notlar (translated into Turkish by Ozer Ozturk),  18 pp.,  "Oyun"  June (2008), 4-7 and 52-58.

           02.10.2007

A note on the Chow groups of projective determinantal varieties (an appendix to [G. Kapustka and M. Kapustka: A cascade of determinantal Calabi-Yau threefolds]) ,  29 pp.,  preprint  (February  2008).

24.02.2008

Positivity of Thom polynomials II: the Lagrange singularities  (with M. Mikosz and  A. Weber) 
16 pp., preprint, to appear in Fundamenta Math.

           21.04.08/09.08.08

Thom polynomials and Schur functions: the singularities A_3(-)  (with A. Lascoux) ,  18 pp.,  Preprint  RIMS no.1638   (October  2008).

           10.10.2008

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