About

Dusty Grundmeier is an Assistant Professor in the Department of Mathematics at The Ohio State University. His professional contact information includes an email address (grundmeier.1@osu.edu), office location (MW 504, 231 W. 18th Ave., Columbus, OH 43210), and a professional website. His research focus is in the area of Complex Analysis, and he is involved in mathematical education. The department emphasizes a broad range of mathematical disciplines and offers various programs and resources for students and faculty. As a faculty member, he contributes to the academic and research environment of the department, supporting undergraduate and graduate students, and engaging in scholarly activities related to his expertise.

Research topics

• Mathematics
• Pure mathematics
• Combinatorics
• Discrete mathematics
• Mathematical analysis

Selected publications

• Invitations to STEM: Activities for Building Community and Enthusiasm from a First-year Seminar

  Scholarship @ Claremont (The Claremont Colleges) · 2026-02-01

  articleOpen access1st authorCorresponding

  We reflect on and analyze a first-year seminar designed as an invitation to Science, Technology, Engineering, and Mathematics (STEM) fields. We present sample activities designed to develop mathematical and scientific problem-solving skills while also building community and enthusiasm. Through solving mathematical puzzles, project-based learning, and reflective activities, students develop a supportive and welcoming STEM-focused community and identity. Along with sample activities, we share our goals, challenges, and student feedback. Finally, we suggest some guiding principles for designing and choosing problems for similar STEM enrichment activities and seminars.

  PublisherOA PDF

• Invitations to STEM: Activities for Building Community and Enthusiasm from a First-year Seminar

  Journal of Humanistic Mathematics · 2026-01-01

  articleOpen access1st authorCorresponding

  We reflect on and analyze a first-year seminar designed as an invitation to Science, Technology, Engineering, and Mathematics (STEM) fields. We present sample activities designed to develop mathematical and scientific problem-solving skills while also building community and enthusiasm. Through solving mathematical puzzles, project-based learning, and reflective activities, students develop a supportive and welcoming STEM-focused community and identity. Along with sample activities, we share our goals, challenges, and student feedback. Finally, we suggest some guiding principles for designing and choosing problems for similar STEM enrichment activities and seminars.

  PublisherDOI

• Invariant polynomials, gaps, and sparseness

  ArXiv.org · 2025-12-05

  preprintOpen access

  We consider each of the three classes of representations of cyclic groups that arise in the study of rational sphere maps. We study the possible number of terms for invariant polynomials with non-negative coefficients that are constant on the appropriate line or hyperplane. Our result provides crucial information about gaps in the possible target dimensions for certain invariant polynomial sphere maps. We interpret our results in terms of sparseness for solutions of certain linear systems.

  PublisherOA PDFDOI

• Rational maps of balls and their associated groups

  São Paulo Journal of Mathematical Sciences · 2024-05-14

  preprintOpen access1st authorCorresponding

  Given a proper, rational map of balls, D'Angelo and Xiao introduced five natural groups encoding properties of the map. We study these groups using a recently discovered normal form for rational maps of balls. Using this normal form, we also provide several new groups associated to the map.

  PublisherOA PDFDOI

• 3D Manipulatives in Integral Calculus: Student Achievement and Confidence in Solids-Of-Revolution Tasks

  Investigations in Mathematics Learning · 2024-02-01 · 2 citations

  article

  In this university study, sections of an integral calculus course were randomly assigned to either a control or treatment group for a lesson on volumes of revolution. Both groups were given similar collaborative tasks, but only the students in the treatment group were given access to a set of 3D manipulatives. Pre- and post-assessments were administered to measure student achievement and confidence on the tasks comparing results for the control and treatment groups as well as for the male and female students. No statistically significant differences in student achievement were detected for the control or treatment group or by reported gender on either an immediate posttest or a delayed posttest. There was statistical significance in confidence after engaging in the 3D manipulative tasks favoring the treatment group. However, further inspection by gender revealed that while males in the treatment group were more likely to report higher confidence ratings than males in the control group, the reverse was true for females.

  PublisherDOI

• Sup-norm estimates for $\overline{\partial}$

  Pure and Applied Mathematics Quarterly · 2022-01-01 · 5 citations

  article1st authorCorresponding
  PublisherDOI

• Sums of CR and projective dual CR functions

  Pure and Applied Mathematics Quarterly · 2022-01-01

  articleSenior author

  A smooth, strongly $\mathbb{C}$-convex, real hypersurface $S$ in $\mathbb{CP}^n$ admits a projective dual CR structure in addition to the standard CR structure. Given a smooth function $u$ on $S$, we provide characterizations for when $u$ can be decomposed as a sum of a CR function and a dual CR function. Following work of Lee on pluriharmonic boundary values, we provide a characterization using differential forms. We further provide a characterization using tangential vector fields in the style of Audibert and Bedford.

  PublisherDOI

• Constructing group-invariant CR mappings

  Complex Analysis and its Synergies · 2022-09-15 · 1 citations

  articleOpen accessCorresponding
  PublisherOA PDFDOI

• Constructing Group-Invariant CR Mappings

  arXiv (Cornell University) · 2022-03-07

  preprintOpen access

  We construct CR mappings between spheres that are invariant under actions of finite unitary groups. In particular, we combine a tensoring procedure with D'Angelo's construction of a canonical group-invariant CR mapping to obtain new invariant mappings. We also explore possible gap phenomena in this setting.

  PublisherOA PDFDOI

• Properties of certain sparse circulant determinants

  Involve a Journal of Mathematics · 2021-04-06

  article1st authorCorresponding
  PublisherDOI

Frequent coauthors

• Jiř́í Lebl

  6 shared

• Jennifer Brooks

  Brigham Young University

  6 shared

• Brendan Whitaker

  The Ohio State University

  5 shared

• Kemen Linsuain

  China Classification Society

  5 shared

• David E. Barrett

  University of Michigan–Ann Arbor

  5 shared

• Berit Stensønes

  Norwegian University of Science and Technology

  3 shared

• Lars Simon

  3 shared

• Alekzander Malcom

  Courant Institute of Mathematical Sciences

  3 shared