M. B. Can

collaborators

5 papers

math.AG2026

(Equivariant) Cohomology of Homogeneous Spaces Associated with Composition Algebras

Mahir Bilen Can, Ana Casimiro, Ferruh Ãzbudak

We study homogeneous spaces arising from embeddings of associative composition algebras of dimensions 2 and 4, with particular emphasis on the Hamiltonian quaternion algebra. For i…

math.CO2026

Toric Schubert Varieties in Partial Flag Varieties

Mahir Bilen Can, Arpita Nayek, Pinakinath Saha

In this article, we investigate the toric Schubert varieties in partial flag varieties $G / P$ for a connected semisimple algebraic group $G$ . Using Deodhar's decomposition of Richar…

cs.IT2025

Generalized Hyperderivative Reed-Solomon Codes

Mahir Bilen Can, Benjamin Horowitz

This article introduces Generalized Hyperderivative Reed-Solomon codes (GHRS codes), which generalize NRT Reed-Solomon codes. Its main results are as follows: 1) every GHRS code is…

cs.IT2025

Evaluation Codes in Bottleneck Metrics

Mahir Bilen Can, Dillon Montero, Ferruh Ãzbudak

Analogs of Reed-Solomon codes are introduced within the framework of bottleneck poset metrics. These codes are proven to be maximum distance separable. Furthermore, the results are…

math.CO2025

Mixing and Merging Metric Spaces using Directed Graphs

Mahir Bilen Can, Shantanu Chakrabartty

Let $(X_{1}, d_{1}), \dots, (X_{N}, d_{N})$ be metric spaces, where $d_{i} : X_{i} \times X_{i} \to [0, 1]$ is a distance function for $i = 1, \dots, N$ . Let $X$ denote the set theoreti…