1 citations · 1 across the 3 of their papers we have counts for
5 papers
Tensor Product -theory is Rational Algebraic -theory
Amartya Shekhar Dubey, Mattie Ji
For a commutative ring with unity, its algebraic -theory space may be obtained by group-completing the symmetric monoidal category of finitely generated free -modu…
Quantum Cellular Automata: The Group, the Space, and the Spectrum
Mattie Ji, Bowen Yang
Over an arbitrary commutative ring , we develop a theory of quantum cellular automata. We then use algebraic K-theory to construct a space of quantum cellular au…
Euler Characteristics and Homotopy Types of Definable Sublevel Sets, with Applications to Topological Data Analysis
Mattie Ji, Kun Meng
Given a definable function on a definable set , we study sublevel sets of the form for all . U…
The -homology of and
Irina Bobkova, Jack Carlisle, Emmett Fitz +6
Let be the Morava E-theory of height 2 at the prime 2. In this paper, we compute the homotopy groups of and $\…
On the Geometry of a Fake Projective Plane with Automorphisms
Lev Borisov, Mattie Ji, Yanxin Li +1
A fake projective plane is a complex surface with the same Betti numbers as but not biholomorphic to it. We study the fake projective plane $\mathbb{P}_{\operatorn…