Hello!

My name is Ben Feuerstein, I am currently studying towards a master's degree in Pure Mathematics at Tel Aviv University, my advisors are Prof. Leonid Polterovich, and Prof. Lev Buhovsky. Before that, I completed my B.A in Pure Mathematics at the Technion.

Publications

I currently have a single e-print out, joint with Prof. Leonid Polterovich, Prof. Lev Buhovsky, and Prof. Egor Shelukhin. You can find it here (arXiv 2408.08854). In it, we prove the dichotomy conjecture of autonomous Hamiltonian flows on the two-sphere using a new tool of symmetrization of Hamiltonians.

I gave a talk about it in the 2024 IMU Student talk day. Here is the abstract of the talk, a copy of the slides, and a video of the talk.

Teaching

Here are some of the class notes I wrote as a teaching assistant at TAU - they are written in Hebrew.

• Calculus 2 For Electrical Engineering, Spring 2024.
• Linear Algebra For Mechanical Engineering, Fall 2023.
• Calculus 2 For Mechanical Engineering, Spring 2023.

Code Visualizations

I enjoy writing software to visualize geometrical concepts. Here are two examples, one for rendering sublevel sets of Morse functions, and one for simulating Hamiltonian flow. Both written in Python - the full source code can be found on my GitHub.

Morse Sublevel sets of \(f(p,q) = \frac{1}{2} \sin(2\pi q)(\cos(8\pi p^2) + \sin(6\pi p^2))\)

Hamiltonian Flow of \(H(p,q) = \sin(2\pi p) +\cos(2\pi q)\)