Regular biography
Konstantin Tikhomirov is an Associate Professor in the Department of Mathematical Sciences at Carnegie Mellon University. His research interests are not explicitly detailed in the provided information. Tikhomirov's contact details include an email address and a website link. He is affiliated with the Mellon College of Science and holds the title of Associate Professor. His profile page includes information about his educational background, though specific degrees are not listed beyond the Ph.D. from the University of Alberta, Canada.
Scholar-generated biography
Konstantin Tikhomirov is a researcher at Carnegie Mellon University, focusing on the spectral properties of random matrices and related probabilistic methods. His work explores the invertibility, singularity, and spectral behavior of random matrices, including Bernoulli matrices, sparse matrices, and matrices with heavy-tailed distributions. He investigates the smallest singular value, anti-concentration phenomena, and the impact of dependencies on eigenvalue distributions. His research also extends to random graphs, such as the matching of random graphs and the spectral radius of random matrices. These studies contribute to understanding the structure of eigenvectors and the convergence of empirical covariance matrices.