Flag Varieties

V. LAKSHMIBAI is professor at Northeastern University, Boston, U.S.A. and a fellow of the American Mathematical Society since January 2013. She earned her PhD from the Tata Institute of Fundamental Research, Mumbai, India. She, together with C.S. Seshadri and C. Musili, founded the standard monomial theory for generalized flag varieties (as well as their Schubert subvarieties), as a generalization of the classical Hodge-Young theory (for the Grassmannians as well as their Schubert subvarieties). Her areas of research are algebraic geometry, representation theory, and combinatorics, particularly in flag varieties, Grassmannian varieties as well as their Schubert subvarieties. She has authored five books including Singular Loci of Schubert Varieties with co-author Sara Billey (Birkhauser), Standard Monomial Theory with co-author K.N. Raghavan (Springer) and The Grassmannian Variety with co-author Justin Brown (Springer).

JUSTIN BROWN is associate professor of mathematics at Olivet Nazarene University in Bourbonnais, Illinois, U.S.A. He earned his PhD on the topic "Some geometric properties of certain toric varieties and Schubert varieties" at Northeastern University, under the guidance of Prof. V. Lakshmibai. His areas of research include algebra, algebraic geometry, topology, and combinatorics. He has co-authored two books with Prof. V. Lakshmibai including The Grassmannian Variety (Springer).