I am a mathematician with a great interest in interdisciplinary research. My main interests are information geometry, stochastic processes, optimal transport, partial differential equations, combinatorics and their applications in mathematical population genetics as well as mathematical finance. I am also interested in statistical analysis methods and machine learning algorithms in order to construct/refer mathematical models based on available big data.
Below is a part of my mathematical genealography
Mathematical Population Genetics is a very old subject (back to 1920s by Sewall Wright and Ronald Fisher) but it remains many interesting open problems and itself contains many beautiful mathematical structures. In this project, we aim to systematically reconsider many particular results of this subject from the point of view of information geometry to gain a better understanding (geometric structures) of the whole behaviour of mathematical models considered. For wonderful works of its probabilistic structu