Greetings! Welcome to the homepage about my mathematical activities.

I completed my PhD from the The Ohio State University, Columbus in Spring 2023. Since the Fall of 2023, I have been at the Department of Mathematical Sciences at the University of Memphis in the capacity of a Postdoctoral Fellow. I will be on the job market this year.

I work primarily in the field of Number Theory and Algebra but my work has enjoyed close connection with finite geometry and combinatorics recently. My most recent articles have been about instances of successes and failures of certain local-global principles:

1. My most recent work establishes an analogue of local-global principle for polynomial, along iterates which reads as – every iterate of a polynomial has local roots in almost every p-adic if and only if every iterate of that polynomial has rational roots.
2. I recently established the extension of the Grunwald-Wang theorem to subsets of rational numbers using elementary methods (See Arxiv or DOI).
3. Recently, I and my coauthor (Paolo Santonastaso) established that certain instances of failure of the local-global principle are in one-to-one correspondence with what is known as k-blocking sets in Galois geometry (See Arxiv).

My MR author ID is 1438156. My ORCID and zbMATH author ID can be accessed respectively by clicking here and here. The best way to reach me is through email at : Mylastname.Myfirstname@memphis.edu