Mattie Ji

activity

20222026

most citedRationality of real conic bundles with quartic discriminant curve

2 citations · 4 across the 9 of their papers we have counts for

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5 papers · 1 filter

math.AT2026

$H Z /4$ is not an $E_{2}$ -Thom Spectrum over the $2$ -Complete Sphere Spectrum

Mattie Ji

For any prime number $p$ , the classic Hopkins-Mahowald theorem asserts that $H Z / p$ is an $E_{2}$ -Thom spectrum over the $p$ -complete sphere spectrum. Kitchloo exten…

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.AT2024

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 $\…

math.AT2023★ 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…

HZ/4 is not an E2​-Thom Spectrum over the 2-Complete Sphere Spectrum

Tensor Product K-theory is Rational Algebraic K-theory

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

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

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

$H Z /4$ is not an $E_{2}$ -Thom Spectrum over the $2$ -Complete Sphere Spectrum

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

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