Session Chairs
Mark ELIN
Haggai KATRIEL
Optimizing antibiotic treatment – a mathematical investigation
14:30 – 14:45
Haggai KATRIEL, Applied Mathematics
My research interests are in nonlinear analysis and dynamical systems, with a focus on applications to the study of mathematical models in population biology, epidemiology and ecology. Recent research includes optimization of vaccination campaigns against infectious diseases, effects of environmental oscillations on ecological dynamics, and the design of antibiotic dosing schedules.
Stability of laminar monotone shear flows in a channel for high Reynolds number
14:45 – 15:00
Yaniv ALMOG, Applied Mathematics
We consider the stability of a laminar flow in a two-dimensional channel in the large Reynolds number limit. We prove the stability of the flow assumming that it is monotone, under a condition which guaratees that the kernel of the corresponding linearized Euler equation is trivial.
Asymptotic solutions of the difference equation in semiclassical limit
15:00 – 15:15
Evgeny VYBORNYI, Applied Mathematics
We consider the asymptotic approximation for the quantum mechanics equations with the Hamiltonian operator described by a finite-difference equation. The study is aimed at developing rigorous mathematical methods for constructing asymptotic solutions which are similar to the well-known WKB methods for the Schrodinger equation. The results have wide applications in analytic quantum modelling as well as in other areas of mathematics and mathematical physics.
How Combinatorial Problems Lead to Algebraic Questions like the EGH Conjecture
15:15 – 15:30
Abed ABEDELFATAH, Applied Mathematics
My research focuses on combinatorial commutative algebra, especially Hilbert functions, graded ideals, and syzygies. I study monomial and edge ideals, with emphasis on the EGH conjecture and subadditivity of syzygy degrees. I explore how algebraic and combinatorial structures influence homological properties.
The asymptotics of the conjugacy characters of the symmetric groups
15:15 – 15:45
Natalia TSILEVICH, Applied Mathematics
My principal research interests lie in asymptotic representation theory (mostly of symmetric groups) and asymptotic combinatorics. I am especially interested in the interplay between representation theory and other areas of mathematics, such as combinatorics, probability theory, mathematical physics, etc.
