Mattie Ji

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20242026

most citedEuler Characteristics and Homotopy Types of Definable Sublevel Sets, with Applications to Topological Data Analysis

1 citations · 1 across the 3 of their papers we have counts for

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math.AT2026

Tensor Product $K$ -theory is Rational Algebraic $K$ -theory

Amartya Shekhar Dubey, Mattie Ji

For a commutative ring $R$ with unity, its algebraic $K$ -theory space $K (R)$ may be obtained by group-completing the symmetric monoidal category of finitely generated free $R$ -modu…

math.AT2026

Quantum Cellular Automata: The Group, the Space, and the Spectrum

Mattie Ji, Bowen Yang

Over an arbitrary commutative ring $R$ , we develop a theory of quantum cellular automata. We then use algebraic K-theory to construct a space $Q (X)$ of quantum cellular au…

math.AT2026★ 1 cited

Euler Characteristics and Homotopy Types of Definable Sublevel Sets, with Applications to Topological Data Analysis

Mattie Ji, Kun Meng

Given a definable function $f : S \to R$ on a definable set $S$ , we study sublevel sets of the form $S_{t}^{f} : = {x \in S : f (x) \leq t}$ for all $t \in R$ . U…

math.AT2025

The $E_{2}^{h C_{6}}$ -homology of $R P^{2}$ and $R P^{2} \land C P^{2}$

Irina Bobkova, Jack Carlisle, Emmett Fitz +6

Let $E_{2}$ be the Morava E-theory of height 2 at the prime 2. In this paper, we compute the homotopy groups of $E_{2}^{h C_{6}} \land R P^{2}$ and $\…

Tensor Product K-theory is Rational Algebraic K-theory

Quantum Cellular Automata: The Group, the Space, and the Spectrum

Euler Characteristics and Homotopy Types of Definable Sublevel Sets, with Applications to Topological Data Analysis

The E2hC6​​-homology of RP2 and RP2∧CP2

Tensor Product $K$ -theory is Rational Algebraic $K$ -theory

The $E_{2}^{h C_{6}}$ -homology of $R P^{2}$ and $R P^{2} \land C P^{2}$