Frank Sottile
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Frank Sottile
Frank Sottile
    Assistant Professor of Mathematics, University of
         Massachusetts, Amherst. 
 MSRI Program  on
        Topological Aspects of Real Algebraic Varieties. 
    
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    Department of Mathematics and Statistics 
    
 
     University of Massachusetts
    
     Lederle Graduate Research Tower
    
     Amherst, MA   01003
    
    Office: 1230  Lederle Graduate Research Tower
    
Telephone: 413-545-6010
    
    FAX:  413-545-1801
    
    Email:  sottile@math.umass.edu
 the following papers are available on our server 
 = dvi format
 = dvi format = ps format
 = ps format = tex format
 = tex format  = pdf format
 = pdf format 
 a_geometric_approach_to_the_combinatorics_of_schubert_polynomials
 a_geometric_approach_to_the_combinatorics_of_schubert_polynomials
 a_monoid_for_the_universal_k_bruhat_order
 a_monoid_for_the_universal_k_bruhat_order
 a_pieri_type_formula_for_isotropic_flag_manifolds
 a_pieri_type_formula_for_isotropic_flag_manifolds
 enumerative_geometry_for_real_varieties
 enumerative_geometry_for_real_varieties
 enumerative_geometry_for_the_real_grassmannian_of_lines_in_projective_space
 enumerative_geometry_for_the_real_grassmannian_of_lines_in_projective_space
 hopf_algebras_and_edge_labeled_posets
 hopf_algebras_and_edge_labeled_posets
 identities_of_structure_constants_for_schubert_polynomials_and_orders_of_sn
 identities_of_structure_constants_for_schubert_polynomials_and_orders_of_sn
 numerical_schubert_calculus
 numerical_schubert_calculus
 pieris_formula_via_explicit_rational_equivalence
 pieris_formula_via_explicit_rational_equivalence
 pieris_rule_for_flag_manifolds_and_schubert_polynomials
 pieris_rule_for_flag_manifolds_and_schubert_polynomials
 pieri_type_formulas_for_maximal_isotropic_grassmannians_via_triple_intersections
 pieri_type_formulas_for_maximal_isotropic_grassmannians_via_triple_intersections
 real_enumerative_geometry_and_effective_algebraic_equivalence
 real_enumerative_geometry_and_effective_algebraic_equivalence
 schubert_polynomials_the_bruhat_order_and_the_geometry_of_flag_manifolds
 schubert_polynomials_the_bruhat_order_and_the_geometry_of_flag_manifolds
 schubert_polynomials_the_bruhat_order_and_the_geometry_of_flag_manifolds
 shifted_quasi_symmetric_functions_and_the_hopf_algebra_of_peak_functions
 shifted_quasi_symmetric_functions_and_the_hopf_algebra_of_peak_functions
 skew_schubert_functions_and_the_pieri_formula_for_flag_manifolds
 skew_schubert_functions_and_the_pieri_formula_for_flag_manifolds
 skew_schubert_polynomials
 skew_schubert_polynomials
 tableau_switching_algorithms_and_applications
 tableau_switching_algorithms_and_applications
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