activity
20172026
most citedTopological Equivalences of E-infinity Differential Graded Algebras

2 citations · 2 across the 8 of their papers we have counts for

collaborators

9 papers

math.AT2026

On the integral algebraic K-theory of Morava K-theory

Gabriel Angelini-Knoll, Haldun Özgür Bayındır

We compute the cardinalities of the integral algebraic K-theory groups of connective Morava K-theory in all degrees that are not congruent to or modulo . After…

math.AT2025

Towards the classification of DGAs with polynomial homology

Haldun Özgür Bayındır, Markus Land

We study the classification of -DGAs with polynomial homology with , motivated by computations in algebraic -theory. This class…

math.AT2023

Algebraic -theory of the two-periodic first Morava -theory

Haldun Özgür Bayındır

Using the root adjunction formalism developed in an earlier work and logarithmic THH, we obtain a simplified computation of for . Through this, we also pr…

math.AT2022

Adjunction of roots, algebraic -theory and chromatic redshift

Christian Ausoni, Haldun Özgür Bayındır, Tasos Moulinos

Given an -ring and a class satisfying a suitable hypothesis, we define a map of -rings realizing the adjunction of an th ro…

math.AT2020

Algebraic -theory of

Haldun Özgür Bayındır, Tasos Moulinos

In this work we study the -ring as a graded spectrum. Following an identification at the level of -algebras with , t…

math.AT2020

Admissible replacements for simplicial monoidal model categories

Haldun Özgür Bayındır, Boris Chorny

Using Dugger's construction of universal model categories, we produce replacements for simplicial and combinatorial symmetric monoidal model categories with better operadic propert…

math.AT2019

Extension DGAs and topological Hochschild homology

Haldun Özgür Bayındır

In this work, we study those differential graded algebras (DGAs) that arise from ring spectra through the extension of scalars functor. Namely, we study DGAs whose corresponding Ei…

math.AT2019

DGAs with polynomial homology

Haldun Özgür Bayındır

In this work, we study the classification of differential graded algebras over (DGAs) whose homology is , i.e. the polynomial algebra over $\mathbb{F}…

math.AT2017★ 2 cited

Topological Equivalences of E-infinity Differential Graded Algebras

Haldun Ozgur Bayindir

Two DGAs are called topologically equivalent if the corresponding Eilenberg-Mac Lane ring spectra are weakly equivalent as ring spectra. Quasi-isomorphic DGAs are topologically equ…