Publications.

Double Jumps of Linear Orders

David Gonzalez, Julia Knight, and Karthik Ravishankar

The Power of Enumerations: Calibrating Generics and Quasiminimals

Karthik Ravishankar

Contrasting the Halves of an Ahmad Pair

Karthik Ravishankar

We study Ahmad pairs in the Σ⁰₂ enumeration degrees. The left halves are precisely the degrees that are low₃ and join irreducible. We prove that every right half is high₂. We also characterize the left halves of Ahmad n-pairs using a hierarchy of join irreducibility notions. These results have consequences for the ∀∃ theory of the local structure of the enumeration degrees.

List Distinguishing Number of Power of Hypercube and Cartesian Powers of a Graph

L. Sunil Chandran, Sajith Padinhatteeri, Karthik Ravi Shankar

We study list distinguishing colorings of powers of hypercubes and Cartesian powers of graphs.