Peikai Qi

activity

20182026

collaborators

7 papers

math.NT2026

On the Quotient of a Pseudo-null Module

Peikai Qi

Motivated by questions arising in noncommutative Iwasawa theory, let $R$ be a (not necessarily commutative) ring, $T \in R$ a regular central element, and $M$ a pseudo-null $R$ -mod…

math.NT2026

Pseudonullity for fine Selmer groups over multiple $Z_{p}^{d}$ -extensions

Peikai Qi, Ruichen Xu

In this article, we develop vertical control theorems for fine Selmer groups associated with Galois representations and their deformations in $p$ -adic families. We apply them to pr…

math.NT2024

An Analogue of Greenberg's Conjecture for CM Fields

Qi Peikai, Matt Stokes

Let $K$ be a CM field and $K^{+}$ be the maximal totally real subfield of $K$ . Assume that the primes above $p$ in $K^{+}$ split in $K$ . Let $S$ be a set containing exactly half of the…

math.NT2024

On the Non p-Rationality and Iwasawa Invariants of Certain Real Quadratic Fields

Peikai Qi, Matt Stokes

Let $p$ be an odd prime, and $m, r \in Z^{+}$ with $m$ coprime to $p$ . In this paper we investigate the real quadratic fields $K = Q (m^{2} p^{2 r} + 1)$ . We first…

math.NT2024

Iwasawa $λ$ invariant and Massey product

Peikai Qi

We compute Iwasawa $λ$ invariant in terms of Massey products in Galois cohomology with restricted ramification. When applied to imaginary quadratic fields and cyclotomic fields, we…

math.CO2023

Multivariate Fibonacci-like Polynomials and their Applications

Sejin Park, Etienne Phillips, Peikai Qi +2

The Fibonacci polynomials are defined recursively as $f_{n} (x) = x f_{n - 1} (x) + f_{n - 2} (x)$ , where $f_{0} (x) = 0$ and $f_{1} (x) = 1$ . We generalize these polynomials to an arbitrary number o…

math.GN2018

Universally uniformly continuous metric spaces

Katrina Gensterblum, Peikai Qi, Willie Wong

We answer the question: "on which metric spaces $(M, d)$ are all continuous functions uniformly continuous?" Our characterization theorem improves and generalizes a previous result…

On the Quotient of a Pseudo-null Module

Pseudonullity for fine Selmer groups over multiple Zpd​-extensions

An Analogue of Greenberg's Conjecture for CM Fields

On the Non p-Rationality and Iwasawa Invariants of Certain Real Quadratic Fields

Iwasawa λ invariant and Massey product

Multivariate Fibonacci-like Polynomials and their Applications

Universally uniformly continuous metric spaces

Pseudonullity for fine Selmer groups over multiple $Z_{p}^{d}$ -extensions

Iwasawa $λ$ invariant and Massey product