Professor, Department of Mathematics and Statistics, Oakland University
Office: 350 MSC
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.
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