Scholars@Duke

• Background
• 

  Education, Training, & Certifications

  • Ph.D., New York University 2021
• Recognition
• 

  In the News

  • JAN 12, 2022

    Yahoo

    Modern Day Explorers Successfully Tag Six Gill Sharks From Homemade Submarine
• Expertise
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  Subject Headings

  • Differential geometry
  • Geometric analysis
  • Geometric evolution equations (mean curvature flow)
  • Geometric measure theory
• Research
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  Fellowships, Supported Research, & Other Grants

  • Simons Collaboration Postdoc awarded by Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics 2021 - 2024
• Publications & Artistic Works
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  Selected Publications

  • Academic Articles

    • Mramor, A., and A. Payne. “Ancient and eternal solutions to mean curvature flow from minimal surfaces.” Mathematische Annalen 380, no. 1–2 (June 1, 2021): 569–91. https://doi.org/10.1007/s00208-021-02149-y.
       Full Text
    • Payne, Alec. “Mass Drop and Multiplicity in Mean Curvature Flow,” September 29, 2020.
       Link to Item
    • Allen, Brian, Lisandra Hernandez-Vazquez, Davide Parise, Alec Payne, and Shengwen Wang. “Warped tori with almost non-negative scalar curvature.” Geometriae Dedicata 200, no. 1 (June 2019): 153–71. https://doi.org/10.1007/s10711-018-0365-y.
       Full Text
    • Mramor, Alexander, and Alec Payne. “Nonconvex Surfaces which Flow to Round Points,” January 9, 2019.
       Link to Item
• Teaching & Mentoring
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  Recent Courses

  • MATH 222: Advanced Multivariable Calculus 2022

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