About Me

I am a Ph.D. candidate in Mathematics at Syracuse University, where I work with Prof. William Wylie. My research interests span Riemannian Geometry, Representation Theory, and Number Theory.

Currently, my work focuses on special metrics on manifolds, especially quasi-Einstein metrics, and conformal Einstein metrics on homogeneous spaces. 

Before coming to Syracuse, I completed my Master’s degree in Mathematics at the  Indian Institute of Science Education and Research (IISER) Pune.

My broader goal is to explore geometric structures that bridge ideas across differential geometry, algebra, and analysis.

contact: nvaliyak@syr.edu