H. O. Bayindir

activity

20242026

collaborators

3 papers

math.AT2026

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

Gabriel Angelini-Knoll, Haldun ÃzgÃ¼r BayÄ±ndÄ±r

We compute the cardinalities of the integral algebraic K-theory groups of connective Morava K-theory $k (n)$ in all degrees that are not congruent to $0$ or $1$ modulo $2 p - 2$ . After…

math.AT2025

Towards the classification of DGAs with polynomial homology

Haldun ÃzgÃ¼r BayÄ±ndÄ±r, Markus Land

We study the classification of $Z$ -DGAs with polynomial homology $F_{p} [x]$ with $∣ x ∣ > 0$ , motivated by computations in algebraic $K$ -theory. This class…

math.AT2024

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

Haldun ÃzgÃ¼r BayÄ±ndÄ±r

Using the root adjunction formalism developed in an earlier work and logarithmic THH, we obtain a simplified computation of $T (2)_{*} K (k u)$ for $p > 3$ . Through this, we also pr…

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

Towards the classification of DGAs with polynomial homology

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

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