Research Interest

During my undergraduate years, I have contributed to research projects at St. Olaf College in different fields, including robotics, pure mathematics, computer vision, natural language processing, and system/networking. Overtime, I have developed an interest in building cyber-physical system (mostly AI system) that are reliable, robust, and have adaptive capability. To be more specific, currently, I am interested in Explainable AI, Reinforcement Learning (RL) and Deep RL as well as how these tools would help improving multi-agents system.

News & Update

  • "Efficiently Filling Space" was published at Rocky Mountains Journal of Mathematics in June 2023
  • Delivered a presentation, titled "Strategic Awareness of Surroundings to Reduce Network Disruption while Maximizing Coverage in Multi-Robot Exploration", at Midstates Physical Sciences, Math and Computer Science Undergraduate Research Symposium 2022
  • Presented a poster, titled "Cloud-powered PDC Computations For a Runestone Interactive TextBook", at Midstates Physical Sciences, Math and Computer Science Undergraduate Research Symposium 2022
  • "Finding the Keys to Peano Curve" was published at Acta Mathematica Hungarica in July 2022
  • Presented my work, "Finding the Keys to Peano Curve" ,at 22nd Anual Mathematics on the Northern Plains

    • Full List of Project (Based on Timeline)

    Here, you will find the full list of projects that I have done through out my entire "career". I ordered them based on timeline of when I started them (right to left). Click on Details button if you would like to find more information.

    Multi-Robot Exploration and Communication

    Behavioral model for multi-robotics system in networking-constraint environment

    • Details

    Senior Capstone Project

    Computer vision system that support the study of numberline for kindergarden student in Ghana and Northfield, MN, USA

    • Details

    Cloud-powered PDC Computations for a Runestone Interactive Textbook

    Construction of an backend using cloud technology that support the learning process of parallel and distributed computing for undergraduate students

    • Details

    Self-organizing Rasperry Pi Clusters

    Constructing Raspberry Pi Operating System images that are capable of parallel and distributed computing using PiGen

    • Details

    Efficiently Filling Space

    This is an extended project from the, "Finding Keys to Peano Curve"

    • Details

    Finding Keys to the Peano Curve

    A complete arithmetization and construction of Peano Curve using Hilbert's method and Klein-4 group action

    • Details

    List of Publications

    **If not mention, automatically mean co-authorship**
  • Humke, P., D., K. V. Huynh, and T. H. Vo. "Efficiently Filling Space". The Rocky Mountain Journal of Mathematics, vol. 53 (2023), no. 2, June 2023, pp. 477–484, https://www.doi.org/rmj.2023.53-2
  • Humke, P. D., and K. V. Huynh. “Finding Keys to the Peano Curve.” Acta Mathematica Hungarica, vol. 167, no. 1, 5 July 2022, pp. 255–277, https://doi.org/10.1007/s10474-022-01242-1

    • Remark

    Thank you so much for visitting my website. I try to capture everything that I could possibly fit in a single website but sometimes it could not showcase all of my personality or other aspect of my life. I often update the website with news regarding my journey to become a better researcher. If there is any collaboration chance that you think could be a good fit for me, please do not hesitate to contact me (Link in the Footnote section of the website).

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