Regular biography
Niraj Khare is an Associate Teaching Professor in the Department of Mathematics at Carnegie Mellon University, affiliated with CMU Qatar. His research is associated with CMU Qatar, and he is based in Education City, Doha, Qatar. He can be contacted via email at nkhare@cmu.edu or through his website at https://www.cmu.edu/math/people/faculty/khare.html. His profile indicates a Ph.D. from Ohio State University, and he is involved in teaching and grading activities at the university.
Scholar-generated biography
Niraj Khare is an Assistant Teaching Professor at Carnegie Mellon University Qatar, specializing in Discrete Mathematics, enumerative combinatorics, and extremal Graph and Hyper-graph Theory. His research focuses on the structural properties of graphs and hypergraphs, particularly in relation to matching numbers, valency restrictions, and extremal conditions. Khare's work explores the interplay between combinatorial structures and their statistical properties, including moments of matching statistics and central limit theorems for permutation statistics. His publications address problems such as the maximum number of edges in graphs with restricted independence numbers and the characterization of hypergraphs with specific valency constraints. These studies contribute to the broader understanding of combinatorial enumeration and extremal graph theory.