# 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 = ps format = tex format = pdf format

a_geometric_approach_to_the_combinatorics_of_schubert_polynomials

a_monoid_for_the_universal_k_bruhat_order

a_pieri_type_formula_for_isotropic_flag_manifolds

enumerative_geometry_for_real_varieties

enumerative_geometry_for_the_real_grassmannian_of_lines_in_projective_space

hopf_algebras_and_edge_labeled_posets

identities_of_structure_constants_for_schubert_polynomials_and_orders_of_sn

numerical_schubert_calculus

pieris_formula_via_explicit_rational_equivalence

pieris_rule_for_flag_manifolds_and_schubert_polynomials

pieri_type_formulas_for_maximal_isotropic_grassmannians_via_triple_intersections

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

shifted_quasi_symmetric_functions_and_the_hopf_algebra_of_peak_functions

skew_schubert_functions_and_the_pieri_formula_for_flag_manifolds

skew_schubert_polynomials

tableau_switching_algorithms_and_applications

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