Scholarship

Scholarly Activity

Contribution to Scholarly Growth of Students

Present Students
Brian Larson Master's Student
Alternate Plan Paper
Expected Summer 2026
Paper: Tiling Systems for High Dimensional Data (In Progress)

Past Students
Isaac Wicklund Undergraduate Student — Minnesota State University, Mankato
Capstone Project
Graduated: Spring 2026
Current: Graduate Student (EE) at Minnesota State University, Mankato
Paper: Graph-Theoretic and Linear Optimization Approaches to Boolean Logic Minimization
Brendan Schlader Master's Student — Minnesota State University, Mankato
Master's Thesis
Graduated: Summer 2025
Current: Ph.D. Student at University of Kansas
Paper: Spectral Theory and the Gelfand Transform
Hunter Wilmes Master's Student — Minnesota State University, Mankato
Alternate Plan Paper
Graduated: Spring 2024
Current: Predictive Analytics Analyst at Salt River Project
Paper: Topics in Frame Theory: Frames of Translates
Presentation: Topics in Frame Theory: Frames of Translates
Paige Skrip (née Shumskas) Undergraduate Student — University of Delaware
Summer GEMs REU
Graduated: Spring 2021
Current: Process Engineer at Air Products
Presentation: TODO: Add title here.
Nathaniel Kim Undergraduate Student — University of Delaware
Summer GEMs REU
Graduated: N/A
Current: N/A
Presentation: TODO: Add title here.

Open Educational Resource Development
obsidian-doenet Beta
Creator and Lead Developer (May 2026 - present)
Description: Community plugin for Obsidian.md that integrates DoenetML content into Markdown notes, allowing users to embed and interact with Doenet activities directly within their Obsidian workspace. Current central piece for creating my WCAG 2.2 compliant OER course content, with plans to expand its capabilities and user base.
Technologies Used: Obsidian.md DoenetML JavaScript TypeScript Node.js html css
github repo
Project Responsibilities:
Task responsibility:
Designed and developed the Obsidian-DoenetML plugin, enabling users to integrate Doenet content into their Obsidian Markdown notes seamlessly.
Task responsibility:
Implemented features such as embedding Doenet activities, running offline, remote fetch of Doenet content, and local caching for improved performance.
Task responsibility:
Currently missing documentation for submission to the Obsidian plugin marketplace, but the plugin is functional and available on GitHub for users to try out.
Task responsibility:
Currently managing and maintaining the project on GitHub.
DoenetML In Development
Curriculum Editor (January 2026 - present)
Description: DoenetML is a markup language designed for creating interactive, accessbile educational content, particularly in the context of open educational resources (OER). It allows educators to create rich, interactive activities that can be embedded in various platforms, including Obsidian.md through the Obsidian-DoenetML plugin. As an advisory board member, I provide guidance on the development and implementation of DoenetML to ensure it meets the needs of educators and learners.
Technologies Used: DoenetML
Doenet.org
Project Responsibilities:
Task responsibility:
Review submitted DoenetML content for inclusion in the DoenetML OER curated collection of educational activities, ensuring it meets quality and accessibility standards.
DoenetML In Development
Advisory Board Member (May 2021 - present)
Description: DoenetML is a markup language designed for creating interactive, accessbile educational content, particularly in the context of open educational resources (OER). It allows educators to create rich, interactive activities that can be embedded in various platforms, including Obsidian.md through the Obsidian-DoenetML plugin. As an advisory board member, I provide guidance on the development and implementation of DoenetML to ensure it meets the needs of educators and learners.
Technologies Used: DoenetML JavaScript github
Doenet.org
Project Responsibilities:
Task responsibility:
Attend bi-weekly meetings to provide guidance on the development and implementation of DoenetML and the prioritization of feature developments and bug fixes.
Task responsibility:
Report bugs and issues encountered while using DoenetML to help improve the platform.
Task responsibility:
Test new features and provide feedback to the development team to ensure DoenetML meets the needs of educators and learners.
Task responsibility:
Collaborate with the development team to ensure DoenetML is accessible and user-friendly for educators and learners.

Published Scholarship and Preprints
Discrete frames for \(L^2(\mathbb R^{n^2})\) arising from tiling systems on \(\rm{GL}_n(\mathbb{R})\) Published
Journal of Mathematical Analysis and Applications
Mahya Ghandehari and Kris Hollingsworth. Discrete frames for \(L^2(\mathbb R^{n^2})\) arising from tiling systems on \(\rm{GL}_n(\mathbb{R})\). Journal of Mathematical Analysis and Applications, 503(2), 2021.
Access: arXiv DOI
Gabor-type frames for signal processing on graphs Published
Journal of Fourier Analysis and Applications
Mahya Ghandehari, Dominique Guillot, and Kris Hollingsworth. Gabor-type frames for signal processing on graphs. Journal of Fourier Analysis and Applications, 27(25), 2021.
Access: arXiv DOI
A non-commutative viewpoint on graph signal processing Published
Proceedings of the International Conference on Sampling Theory and Applications (SampTA)
Mahya Ghandehari, Dominique Guillot, and Kris Hollingsworth. A non-commutative viewpoint on graph signal processing. Proceedings of the International Conference on Sampling Theory and Applications (SampTA), 2019.
Presentations
  • obsidian-doenet, A New Tool for Embedding Interactive Content in Markdown Doenet Community Workshop 2026 (workshop) — Institute for Mathematics and its Applications, Minneapolis, MN invited Jun 2026
  • Constructing Discrete Frames from Continuous Wavelet Transforms SLU's Math Colloquium (colloquium) — St. Louis University, St. Louis, MO invited Nov 2024
  • A Friendly Introduction to Graph Signal Processing MAA-NCS Spring Sectional Meeting (conference) — University of St. Thomas, St. Paul, MN keynote Apr 2024
  • Harry Potter Grading for Higher Ed: EMRN Grading MAA-NCS Spring Sectional Meeting — Winona State University, Winona, MN contributed Mar 2023
  • Life After Delaware (with some Job Search Advice) University of Delaware Winter Research Symposium — University of Delaware, Newark, DE invited Mar 2023
  • Discrete Frame Constructions on Regular (and Irregular) Domains ECET Department Research Seminar — Minnesota State University, Mankato, Mankato, MN invited Feb 2023
  • Introducing Abstract Harmonic Analysis to Undergraduate Researchers AMS Special Session on Analysis at Undergraduate Institutions (JMM 2023) — Joint Mathematics Meetings, Boston, MA contributed Jan 2023
  • Constructing Discrete Frames from Continuous Wavelet Transforms CAHAS — Banff International Research Station, Calgary, AB invited Jun 2022
  • Alumni in Industry and Academia SIAM Student Chapter Alumni Panel (panel discussion) — University of Delaware, Newark, DE invited May 2022
  • Specifications Grading MathCEP Seminar — University of Minnesota, Minneapolis, MN seminar Nov 2020
  • Data Representation for Signal Processing Women in Engineering STEM Presentation Workshop — University of Delaware, Newark, DE contributed Oct 2019
  • Mathematical Techniques in Signal Processing Graduate Students' Forum for Research and Creative Works — University of Delaware, Newark, DE contributed Apr 2019
  • Fourier Analysis on Graphs Mid-Atlantic Analysis Meeting — Virginia Tech, Blacksburg, VA contributed Nov 2018
  • An Introduction to Frame Theory Undergraduate Math Club — University of Delaware, Newark, DE seminar Oct 2018
  • Constructing Discrete Frames from Continuous Wavelet Transforms Northeast Analysis Network — University at Albany, Albany, NY contributed Sep 2018
  • Constructing Discrete Frames from the Continuous Wavelet Transform Summer Research Symposium — University of Delaware, Newark, DE seminar Aug 2018
  • Constructing Discrete Frames from Continuous Wavelet Transforms Hallenbeck Graduate Student Seminar — University of Delaware, Newark, DE seminar Feb 2018
  • Sound Exploder: Viewing Audio as a Mathematical Object MathCounts Day — University of Delaware, Newark, DE invited Jan 2018
  • An Introduction to Graph Signal Processing PRODAG Seminar — University of Delaware, Newark, DE seminar Nov 2017
  • Some Fun With Hypercubes Hollenbeck Graduate Student Seminar — University of Delaware, Newark, DE contributed Mar 2017
  • Constructing a Frame from a Continuous Wavelet Transform What's Hot in Mathematics Workshop — University of Delaware, Newark, DE seminar Feb 2017
  • Constructing a Discrete Frame from a Continuous Wavelet Transform Summer Research Symposium — University of Delaware, Newark, DE seminar Aug 2016
  • A (brief) Introduction to Frame Theory Summer Research Seminar — University of Delaware, Newark, DE seminar Jul 2016