Ivan Z. Feng

collaborators

3 papers

math.PR2026

Cutoff profiles for colored top-m-to-random shuffles with growing block size

Ivan Z. Feng

We study the $p$ -colored top- $m$ -to-random shuffle on $C_{p} ≀ S_{n}$ when the block size $m = m_{n}$ grows with $n$ . Let $E_{k_{n}}^{(m_{n})}$ be the number of labels never touched after $k_…

math.HO2025

The Math Teaching Atlas: Trails, Anchors, and Compass in Action

Ivan Z. Feng

Mathematics is a mountain, but students need more than descriptions of the view: they need a trail they can actually walk. This paper presents the Math Teaching Atlas, a framework…

math.AT2025

Periodicity Uncovered: A Deep Dive into Bott's Theorems in K-Theory and Fiber Bundles

Ivan Z. Feng

This paper presents a comparison between two versions of Bott Periodicity Theorems: one in topological K-theory and the other in stable homotopy groups of classical groups. It begi…