Regular biography
Mikhail Isaev is a mathematician with a strong focus on inverse problems, combinatorics, and probability theory. His research spans several areas, including inverse scattering problems, stability estimates, and the enumeration of Eulerian circuits in graphs. He has also contributed to the study of random regular graphs, their properties, and their applications in various mathematical contexts. Isaev has published extensively in top-tier journals such as *Inverse Problems*, *SIAM Journal on Mathematical Analysis*, *Electronic Communications in Probability*, and *European Journal of Combinatorics*. He has also made contributions to the understanding of entropy in ice-type models and the behavior of chromatic numbers in stochastic block models. His work often combines analytical and probabilistic techniques to address complex mathematical questions.
Scholar-generated biography
Dr. Mikhail Isaev is a researcher at UNSW Sydney specializing in random graph theory, combinatorial enumeration, nonlinear PDEs, and inverse problems. His work explores the asymptotic enumeration of graph structures, stability estimates for inverse scattering problems, and the behavior of random regular graphs. Isaev's research includes the analysis of complex martingales, the reconstruction of potentials from impedance boundary maps, and the study of exponential instability in inverse problems. His contributions span both theoretical and applied aspects of these fields, with a focus on rigorous mathematical analysis and numerical reconstruction techniques.