她主要从事数论、自守形式、群表示论、组合以及编码等方面的研究，是国际著名的数论专家，她关于模形式理论的研究成果曾被Andrew Wiles在他的著名论文“Fermat's Last Theorem”中引用。
Roughly speaking, a zeta function is a counting function. The Selberg zeta function counts closed geodesics in a compact Riemann surface. A combinatorial zeta function is a discrete analogue of the Selberg zeta function. From group theoretical viewpoint, Ihara
generalized the Selberg zeta function from PGL(2) over R to PGL(2) over a p-adic field. Serre realized that Ihara's zeta function can be formulated for all finite graphs.
We studied zeta functions for finite simplicial complexes arising from finite quotients of the building attached to PGL(3) (with Kang) and PGSp(4) (with Fang and Wang) over p-adic fields. Such a zeta function is a rational function with a closed form expression which gives both
topological and spectral information of the underlying combinatorial object. The Artin L-functions for graphs were considered by Ihara, Hashimoto, Stark and Terras, respectively. Very recently in a joint work with Kang we obtained a closed form expression for the Artin L-functions attached to finite quotients of the building of PGL(3).