Research Interests
Research Interests
I am particularly interested in cluster algebras, representation theory of finite-dimensional algebras, and its related combinatorics. My research interests also extend to closely related fields such as algebraic geometry, homological algebra, and category theory.
Some of the key terms that have been central to my research thus far include cluster algebras, frieze patterns, semi-invariant rings, Littlewood-Richardson coefficients, τ-tilting theory, and Galois covering.
Here's my Research Statement
Counting 3-way contingency tables via quiver semi-invariants (with Calin Chindris). arXiv preprint
Growth of infinite frieze patterns of affine type (with Karin Baur, Anna Felikson, Pavel Tumarkin, and Emine Yildirim). arXiv preprint
Galois coverings, τ-rigidity, and mutations (with Charles Paquette, and David Wehlau). arXiv preprint
Semi-invariant rings: UFD and codimension one orbits (with Charles Paquette, and David Wehlau). arXiv preprint
ॐ गं गणपतये नमो नम: ॐ नमः शिवाय ऊँ ग्रां ग्रीं ग्रौं सः गुरुवे नमः।।