Li Li

Research Interest

• Cluster algebra and related geometry and combinatorics.

• Algebra, Geometry and Combinatorics of Schubert varieties.

• Algebra, Geometry and Combinatorics of points in the plane or in higher dimensional spaces, which include: the ideal defining the diagonal locus in (C^2)^n and the related combinatorial object such as q,t-Catalan numbers; Hilbert scheme of points on a Deligne-Mumford stack.

• Algebro-geometrical, topological and combinatorial properties of the objects related to arrangement of subvarieties, including hyperplane arrangement and subspace arrangement; wonderful compactifications of arrangements of subvarieties;the relation of arrangement with the study of singularities.

• The theory of Lawson homology and morphic cohomology.

• Groups and Cayley graphs.

Teaching

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