If you would like to access my dissertation, please click HERE. Next is a list of my publications and articles in preparation, in reverse chronological order.

• A Local-Global Principle for Iterates of Polynomials (Submitted)
• Blocking Sets and Power Residue Modulo Integers with bounded number of prime factors (Joint Work with Paolo Santonastaso). Acta Arithmetica 221 (2025). 181-198. (Arxiv) (DOI)
• Blocking sets in Finite Geometry and Prime Power Residue. (Joint Work with Paolo Santonastaso). Accepted (To Appear in Journal de Théorie des Nombres de Bordeaux). (Arxiv)
• A Generalization of the Grunwald-Wang Theorem for n^th Powers. International Journal of Number Theory. 2025. 21 (02). 377 – 389. (Arxiv) (DOI)
• Polynomials with Factors of the Form (x^q – a) with Roots Modulo Every Integer. Communications in Algebra. 2024. 52(11). 4946-4954 .(Arxiv) (DOI)
• Almost No Subset of Integers Contains a q^th Power Modulo Almost Every Prime. Functiones et Approximatio Commentarii Mathematici. 2024. 1. 129–141.(Arxiv). (DOI)
• Prime power residue and linear coverings of vector space over F_q . Finite Fields and Their Applications. 2023. 89. (Arxiv) (DOI)
• Polynomials over Ring of Integers of Global Fields that have Roots Modulo Every Finite Indexed Subgroup. Journal of Algebra. 2022. 608. 239-258. (Arxiv) (DOI)
• Minimally Intersective Polynomials with Arbitrarily Long Factorization. Integers – Electronic Journal of Combinatorial Number Theory. 2022. 22. Paper No. A15. Journal Link (Open Access)
• Polynomials Consisting of Quadratic Factors with Roots Modulo Any Positive Integer. The American Mathematical Monthly. 2022. 129(2). 178-182. (DOI : Open Access)
• Intersective Polynomials Arising from Sums of Powers. Communications in Algebra, 2021. 49(6). 2633–2644. (DOI : Open Access)