# Postdoctoral Fellowship: MPS-Ascend: Algebraic and Factorization Properties of Monoid Semidomains

> **NSF 01002526DB NSF RESEARCH & RELATED ACTIVIT** · Jimenez Polo, Harold (CA) · $300,000

## Abstract

Dr. Harold Jimenez Polo is awarded a National Science Foundation Mathematical and Physical Sciences Ascending Postdoctoral Research Fellowship (NSF MPS-Ascend) to conduct a program of research and broader impact activities. This fellowship supports the research project entitled "Algebraic and Factorization Properties of Monoid Semidomains." The project activities will be conducted at the host institution, Clemson University, under the mentorship of Dr. James B. Coykendall.

The research will investigate the algebraic and factorization properties of monoid semidomains—algebraic structures that generalize polynomial rings by dropping the assumption of additive inverses. The work will explore foundational questions such as the ascent of atomicity from semidomains to their polynomial extensions and will study analogues of the Goldbach conjecture within this setting. This research has potential applications across algebraic geometry, number theory, and theoretical computer science. As part of the broader impacts, Dr. Jimenez Polo will lead mentoring activities that support students who are enthusiastic and passionate about mathematics. Through research seminars and workshops—such as the Simple Words seminar and the Summer Workshop for Intrepid Mathematicians (SWIM)—and through initiatives like CrowdMath and MIT PRIMES, he will provide these students with meaningful research experiences and help foster a supportive, collaborative community of emerging mathematicians.

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## Key facts

- **NSF award ID:** 2513588
- **Awardee organization:** Jimenez Polo, Harold (CA)
- **PI:** Harold Jimenez Polo
- **Primary program:** 01002526DB NSF RESEARCH & RELATED ACTIVIT
- **All programs:** POSTDOCTORAL FELLOWSHIPS
- **Estimated total:** $300,000
- **Funds obligated:** $300,000
- **Transaction type:** Fellowship Award
- **Period:** 07/01/2025 → 06/30/2028

## Primary source

NSF Award Search: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2513588

## Citation

> US National Science Foundation, Award 2513588, Postdoctoral Fellowship: MPS-Ascend: Algebraic and Factorization Properties of Monoid Semidomains. Retrieved via AI Analytics 2026-06-07 from https://api.ai-analytics.org/grant/nsf/2513588. Licensed CC0.

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