Mattie Ji

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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.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 $\…

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

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

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