Ryomei Iwasa

activity

20162024

most citedCohomology of the moduli stack of algebraic vector bundles

5 citations · 13 across the 8 of their papers we have counts for

collaborators

10 papers

math.AG2024

Atiyah duality for motivic spectra

Toni Annala, Marc Hoyois, Ryomei Iwasa

We prove that Atiyah duality holds in the $\infty$ -category of non- $A^{1}$ -invariant motivic spectra over arbitrary derived schemes: every smooth projective scheme is dualiza…

math.AG2023

Algebraic cobordism and a Conner-Floyd isomorphism for algebraic K-theory

Toni Annala, Marc Hoyois, Ryomei Iwasa

We formulate and prove a Conner-Floyd isomorphism for the algebraic K-theory of arbitrary qcqs derived schemes. To that end, we study a stable $\infty$ -category of non-$\mathbb A^1…

math.AG2022★ 1 cited

Motivic spectra and universality of $K$ -theory

Toni Annala, Ryomei Iwasa

We develop a theory of motivic spectra in a broad generality; in particular $A^{1}$ -homotopy invariance is not assumed. As an application, we prove that $K$ -theory of scheme…

math.AG2021★ 5 cited

Cohomology of the moduli stack of algebraic vector bundles

Toni Annala, Ryomei Iwasa

Let $V ect_{n}$ be the moduli stack of vector bundles of rank $n$ on schemes. We prove that, if $E$ is a Zariski sheaf of ring spectra which is equipped with finite…

math.AG2020

Milnor excision for motivic spectra

Elden Elmanto, Marc Hoyois, Ryomei Iwasa +1

We prove that the $\infty$ -category of motivic spectra satisfies Milnor excision: if $A \to B$ is a morphism of commutative rings sending an ideal $I \subset A$ isomorphically onto a…

math.AG2020

Cdh descent, cdarc descent, and Milnor excision

Elden Elmanto, Marc Hoyois, Ryomei Iwasa +1

We give necessary and sufficient conditions for a cdh sheaf to satisfy Milnor excision, following ideas of Bhatt and Mathew. Along the way, we show that the cdh infinity-topos of a…

math.KT2018★ 1 cited

Isomorphisms up to bounded torsion between relative $K_{0}$ -groups and Chow groups with modulus

Ryomei Iwasa, Wataru Kai

In this note, we establish isomorphisms up to bounded torsion between relative $K_{0}$ -groups and Chow groups with modulus as defined by Binda-Saito.

math.KT2017★ 4 cited

Relative $K_{0}$ and relative cycle class map

Ryomei Iwasa

We study relative $K_{0}$ of exact categories and triangulated categories. As an application, we construct a cycle class map from Chow groups with modulus to relative $K_{0}$ .

math.KT2016★ 2 cited

Chern classes with modulus

Ryomei Iwasa, Wataru Kai

In this paper, we construct Chern classes from the relative $K$ -theory of modulus pairs to the relative motivic cohomology defined by Binda-Saito. An application to relative motivi…

math.KT2016

Homology pro stability for Tor-unital pro rings

Ryomei Iwasa

Let ${A_{m}}$ be a pro system of associative commutative, not necessarily unital, rings. Assume that the pro systems $\{\mathrm{Tor}^{\mathbb{Z}\ltimes A_m}_i(\mathbb{Z},\mathbb{Z}…

Atiyah duality for motivic spectra

Algebraic cobordism and a Conner-Floyd isomorphism for algebraic K-theory

Motivic spectra and universality of K-theory

Cohomology of the moduli stack of algebraic vector bundles

Milnor excision for motivic spectra

Cdh descent, cdarc descent, and Milnor excision

Isomorphisms up to bounded torsion between relative K0​-groups and Chow groups with modulus

Relative K0​ and relative cycle class map

Chern classes with modulus

Homology pro stability for Tor-unital pro rings

Motivic spectra and universality of $K$ -theory

Isomorphisms up to bounded torsion between relative $K_{0}$ -groups and Chow groups with modulus

Relative $K_{0}$ and relative cycle class map