Anastassiya Semenova
Assistant Professor, Applied Mathematics
School of Mathematics and Statistics
College of Science
Office Hours
T-Th: 1pm-2pm
Office Location
Office Mailing Address
GOS 2272
Anastassiya Semenova
Assistant Professor, Applied Mathematics
School of Mathematics and Statistics
College of Science
Bio
My research interests span a wide range of topics in fluid dynamics, nonlinear wave phenomena, and scientific computing. Currently, the main topic of my research is the study of incompressible Euler equations and water waves problem.
Select Scholarship
Semenova A., 2025. Two-crested Stokes waves. Applied Mathematics Letters, 167, p.109560.
Deconinck B., Dyachenko S.A. and Semenova, A., 2024. Self-similarity and recurrence in stability spectra of near-extreme Stokes waves. Journal of Fluid Mechanics, 995, p.A2.
Deconinck B., Dyachenko S.A., Lushnikov P.M. and Semenova, A., 2023. The dominant instability of near-extreme Stokes waves. Proceedings of the National Academy of Sciences, 120(32), p.e2308935120.
Currently Teaching
MATH-181
Calculus I
4 Credits
This is the first in a two-course sequence intended for students majoring in mathematics, science, or engineering. It emphasizes the understanding of concepts, and using them to solve physical problems. The course covers functions, limits, continuity, the derivative, rules of differentiation, applications of the derivative, Riemann sums, definite integrals, and indefinite integrals.
MATH-241
Linear Algebra
3 Credits
This course is an introduction to the basic concepts of linear algebra, and techniques of matrix manipulation. Topics include linear transformations, Gaussian elimination, matrix arithmetic, determinants, vector spaces, linear independence, basis, null space, row space, and column space of a matrix, eigenvalues, eigenvectors, change of basis, similarity and diagonalization. Various applications are studied throughout the course.
MATH-331
Dynamical Systems
3 Credits
The course revisits the equations of spring-mass system, RLC circuits, and pendulum systems in order to view and interpret the phase space representations of these dynamical systems. The course begins with linear systems followed by a study of the stability analysis of nonlinear systems. Matrix techniques are introduced to study higher order systems. The Lorentz equation will be studied to introduce the concept of chaotic solutions.
MATH-790
Research & Thesis
0-9 Credits
Masters-level research by the candidate on an appropriate topic as arranged between the candidate and the research advisor.