A personal notebook

A place for
curious thinking.

I’m Keivan. This is where I collect mathematical ideas, explore them through code, and leave a little room for the unexpected.

Ways to explore

Follow a thread

A question to think about, with a solution to uncover when you’re ready.

Follow an idea through mathematics, code, images, and experiments.

Build understanding step by step, with explanations and hands-on learning.

Problem Sep 2026 Solution included

For a natural number n, prove that n + 2 and n² + n + 1 cannot both be perfect cubes.

number theoryperfect powers

Exploration Apr 2024

From independent Gaussian increments to a sample path, with a small NumPy implementation.

probabilityPythonsimulation

Paper / 2026

Keivan Mirzaei, Jinniao Qiu

Measurability and adapted approximation tools for metric-space-valued maps, with applications to path-dependent stochastic control.

Preprint

University of Calgary