Bhawesh Mishra

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20242026

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math.NT2026

The Dynamical Mordell--Lang Conjecture for Relatively Étale Systems over Products of Curves

Bhawesh Mishra

We establish the dynamical Mordell--Lang conjecture over $\mathbb C$ for endomorphisms that are relatively étale over arbitrary endomorphisms of finite products of smooth project…

math.NT2026

Simultaneous Periods for Families of Rational Maps Modulo Primes

Bhawesh Mishra

Let $K$ be a number field, and $φ_{1}, \dots, φ_{g} \in K (t)$ be finitely many rational maps, each of degree at least $2$ . We first show that for generic finite sets $\mathcal{A}_{1}…

math.NT2025

Blocking Sets and Power Residue Modulo Integers with Bounded Number of Prime Factors

Bhawesh Mishra, Paolo Santonastaso

Let $q$ be an odd prime and $k$ be a natural number. We show that a finite subset of integers $S$ that does not contain any perfect $q^{t h}$ power, contains a $q^{t h}$ power residu…

math.NT2025

Prime Power Residues and Blocking Sets

Bhawesh Mishra, Paolo Santonastaso

Let $q$ be a fixed odd prime. We show that a finite subset $B$ of integers, not containing any perfect $q^{t h}$ power, contains a $q^{t h}$ power modulo almost every prime if and on…

math.NT2024

A Generalization of the Grunwald-Wang Theorem for $n^{t h}$ Powers

Bhawesh Mishra

Let $n$ be a natural number greater than $2$ and $q$ be the smallest prime dividing $n$ . We show that a finite subset $A$ of rationals, of cardinality at most $q$ , contains a $n^{t…

The Dynamical Mordell--Lang Conjecture for Relatively Étale Systems over Products of Curves

Simultaneous Periods for Families of Rational Maps Modulo Primes

Blocking Sets and Power Residue Modulo Integers with Bounded Number of Prime Factors

Prime Power Residues and Blocking Sets

A Generalization of the Grunwald-Wang Theorem for nth Powers

A Generalization of the Grunwald-Wang Theorem for $n^{t h}$ Powers