activity
20242026
collaborators

7 papers

math.DS2026

Dynamical Mordell--Lang Conjecture for Higher-Rank Radially Ramified Skew Products

Bhawesh Mishra

We establish the dynamical Mordell--Lang conjecture over the complex numbers for a family of radially ramified polynomial skew products in arbitrary base dimension and fiber rank.…

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

Superpolynomially Large Support in Every Irreducible Factor of Lacunary Polynomials

Bhawesh Mishra

We show that there exist infinitely many polynomials with exactly nonzero coefficients such that every irreducible factor of \(F\) over \(\mathbb{Q}\) has \…

math.NT2026

Simultaneous Periods for Families of Rational Maps Modulo Primes

Bhawesh Mishra

Let be a number field, and be finitely many rational maps, each of degree at least . 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 be an odd prime and be a natural number. We show that a finite subset of integers that does not contain any perfect power, contains a power residu…

math.NT2025

Prime Power Residues and Blocking Sets

Bhawesh Mishra, Paolo Santonastaso

Let be a fixed odd prime. We show that a finite subset of integers, not containing any perfect power, contains a power modulo almost every prime if and on…

math.NT2024

A Generalization of the Grunwald-Wang Theorem for Powers

Bhawesh Mishra

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