Scholars@Duke

• Background
• 

  Education, Training, & Certifications

  • Ph.D., University of British Columbia (Canada) 2021
• Expertise
• 

  Subject Headings

  • Algebraic topology
  • Applied Topology
  • Homotopy theory
  • Topological Data Analysis
• 

  Global Scholarship

  • Research

    • Canada (Country) 
    • United States of America (Country) 

  • Teaching

    • Canada (Country) 
    • United States of America (Country) 
• Research
• 

  External Relationships

  • University of Calgary
• Publications & Artistic Works
• 

  Selected Publications

  • Academic Articles

    • Arcila-Maya, N., C. Bethea, M. Opie, K. Wickelgren, and I. Zakharevich. “Compactly supported A¹-Euler characteristic and the Hochschild complex.” Topology and Its Applications 316 (July 1, 2022). https://doi.org/10.1016/j.topol.2022.108108.
       Full Text
    • Arcila-Maya, Niny. “Decomposition of Topological Azumaya Algebras,” June 29, 2021. https://doi.org/10.4153/S000843952100045X.
       Full Text  Link to Item
    • Arcila-Maya, Niny, Candace Bethea, Morgan Opie, Kirsten Wickelgren, and Inna Zakharevich. “Compactly supported $\mathbb{A}^{1}$-Euler characteristic and the Hochschild complex,” March 20, 2020.
       Open Access Copy  Link to Item

  • Preprints

    • Arcila-Maya, Niny. “Decomposition of Topological Azumaya Algebras with Orthogonal Involution,” December 13, 2022.
       Link to Item
• Teaching & Mentoring
• 

  Recent Courses

  • MATH 218D-2: Matrices and Vectors 2023
  • MATH 491: Independent Study 2023
  • MATH 112L: Laboratory Calculus II 2022
  • MATH 401: Introduction to Abstract Algebra 2022
  • MATH 701: Introduction to Abstract Algebra 2022
• 

  Advising & Mentoring

  • • Spring 2023: Organizer of Pares Ordenados (Ordered Pairs), a virtual DRP in Spanish.
    • Spring 2022: Participant mentor in the virtual DRP Twoples.
      Mentee: Alice Mehalek, Mathematics undergraduate student at the University of Alaska Southeast in Juneau, AK

  Available to mentor:

  • Masters
  • Undergraduate

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