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

collaborators

10 papers

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 $\…

cs.CG2023

On the Injectivity of Euler Integral Transforms with Hyperplanes and Quadric Hypersurfaces

Mattie Ji

The Euler characteristic transform (ECT) is an integral transform used widely in topological data analysis. Previous efforts by Curry et al. and Ghrist et al. have independently sh…

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…

stat.ME2023★ 1 cited

Statistical Inference on Grayscale Images via the Euler-Radon Transform

Kun Meng, Mattie Ji, Jinyu Wang +4

Tools from topological data analysis have been widely used to represent binary images in many scientific applications. Methods that aim to represent grayscale images (i.e., where p…

math.AG2023

Explicit equations of the fake projective plane $(a = 7, p = 2, \emptyset, D_{3} X_{7})$

Lev Borisov, Mattie Ji, Yanxin Li

We find explicit equations of the fake projective plane $(a = 7, p = 2, \emptyset, D_{3} X_{7})$ , which lies in the same class as the fake projective plane $(a = 7, p = 2, \emptyset, D_{3} 2_{7})$ with…

math.AG2023

On the Geometry of a Fake Projective Plane with $21$ Automorphisms

Lev Borisov, Mattie Ji, Yanxin Li +1

A fake projective plane is a complex surface with the same Betti numbers as $C P^{2}$ but not biholomorphic to it. We study the fake projective plane $\mathbb{P}_{\operatorn…

math.AG2022★ 2 cited

Rationality of real conic bundles with quartic discriminant curve

Lena Ji, Mattie Ji

We study real double covers of $P^{1} \times P^{2}$ branched over a $(2, 2)$ -divisor, which have the structure of a conic bundle threefold with smooth quartic discriminant…

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

On the Injectivity of Euler Integral Transforms with Hyperplanes and Quadric Hypersurfaces

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

Statistical Inference on Grayscale Images via the Euler-Radon Transform

Explicit equations of the fake projective plane (a=7,p=2,∅,D3​X7​)

On the Geometry of a Fake Projective Plane with 21 Automorphisms

Rationality of real conic bundles with quartic discriminant curve

$H Z /4$ 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 $R P^{2} \land C P^{2}$

Explicit equations of the fake projective plane $(a = 7, p = 2, \emptyset, D_{3} X_{7})$

On the Geometry of a Fake Projective Plane with $21$ Automorphisms