Nicholas A. Scoville

Ursinus College Professor of Mathematics / Chair of Mathematics, Computer Science, and Statistics / Joseph Beardwood III Chair of Mathematics

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I am a Professor of Mathematics and Chair of the Department of Mathematics, Computer Science, and Statistics at Ursinus College, where I hold the Joseph Beardwood III Chair of Mathematics. My research focuses on discrete Morse theory, digital topology, and topological data analysis. I am the author of the first comprehensive textbook on discrete Morse theory (AMS, 2019), and I regularly collaborate with undergraduate students on research projects.

news

Jan 15, 2016 A simple inline announcement with Markdown emoji! :sparkles: :smile:
Nov 07, 2015 A long announcement with details
Oct 22, 2015 A simple inline announcement.

latest posts

Mar 26, 2025 a post with plotly.js
Dec 04, 2024 a post with image galleries
May 14, 2024 Google Gemini updates: Flash 1.5, Gemma 2 and Project Astra

selected publications

  1. A McCord-type theorem for pseudotopological spaces and directed graphs
    Nikola Milićević and Nicholas A. Scoville
    Journal of Applied and Computational Topology, 2026
    DOI
  2. On cycles and merge trees
    Julian Brüggemann and Nicholas A. Scoville
    Journal of Pure and Applied Algebra, 2025
  3. A Second Homotopy Group for Digital Images
    Gregory Lupton, Oleg Musin, Nicholas A. Scoville, and 2 more authors
    Journal of Algebraic Combinatorics, 2024
    DOI
  4. Star clusters in the Matching, Morse, and Generalized complex of discrete Morse functions
    Connor Donovan and Nicholas A. Scoville
    New York Journal of Mathematics, 2023