Melody Molander

UC Santa Barbara

melodymolander(at)ucsb(dot)edu

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Home Research Talks Teaching Quantum Algebra & Topology Seminar

Talks (*=invited)

  1. Joint Mathematics Meetings, "Knots, 3-manifolds, and Their Invariants" Special Session, Seattle Convention Center; Seattle, Washington, January 2025,
    A determinant formula of the Jones Polynomial for a family of braids
  2. Joint Mathematics Meetings, "Advances in Operator Algebras" Special Session, Seattle Convention Center; Seattle, Washington, January 2025,
    Using Diagrams to Describe Quantum Symmetries and Subfactors
  3. AMS Fall Western Sectional Meeting, "Graphical Calculus in Representation Theory and Low-Dimensional Topology" Special Session, University of California, Riverside, Riverside, California, October 2024,
    "Index 4 Subfactor Planar Algebras and Their Corresponding Categories"
  4. Quantum Groups and Representation Theory, North Carolina State University, Raleigh, North Carolina, October 2024,
    "Index 4 Subfactor Planar Algebras and their Corresponding Categories"
  5. Young Mathematicians in C*-Algebras (YMC*A), University of Glasgow, Glasgow, Scotland, August 2024,
    "Using Diagrams to Describe Quantum Symmetries of Subfactors"
  6. Oberwolfach Research Institute for Mathematics, Classification of C*-algebras and Dynamics Seminar, Oberwolfach, Germany, May 2024,
    "Nuclear Dimension of Cuntz-Pimsner Algebras of C*-Correspondences"
  7. Banff International Research Station, Skew Braces, Braids, and the Yang-Baxter Equation Workshop, Banff, Canada, May 2024,
    "Skein Theory of Subfactor Planar Algebras" (Video)
  8. Distinguished Graduate Student in Topology Speaker at the Underrepresented Students in Topology and Algebra Symposium (USTARS), University of Iowa, Iowa City, Iowa, April 2024,
    "Using Diagrams to Describe Quantum Symmetries of Subfactors"
  9. Graduate Student Topology and Geometry Conference, Michigan State University, East Lansing, Michigan, April 2024,
    "Skein Theory for Index 4 Subfactor Planar Algebras"
  10. Southeastern Lie Theory Workshop, Quantum Structures in Lie Theory, University of Virginia, Charlottesville, Virginia, March 2024,
    "Skein Theory for Index 4 Subfactor Planar Algebras"
  11. Women in Mathematics in Southern California Symposium (WiMSoCal), Pomona College, Claremont, California, February 2024,
    "Using Diagrams to Describe Quantum Symmetries of Subfactors"
  12. Joint Mathematics Meetings, “Knots, Skein Modules, and Categorification” Special Session, Moscone Center, San Francisco, CA, January 2024,
    "Skein Theory of Index 4 Subfactor Planar Algebras"
  13. Claremont Topology Seminar, Claremont McKenna College, Claremont, California, November 2023,
    "Skein Theory for Affine ADE Subfactor Planar Algebras"
  14. Twinned Conference on C*-Algebras and Tensor Categories, Fields Institute, Toronto, Canada (in person) and ICMS (streamed live), November 2023,
    "Skein Theory for Affine ADE Subfactor Planar Algebras"
  15. Young Mathematicians in C*-Algebras (YMC*A), KU Leuven, Leuven, Belgium, August 2023,
    "Skein Theory of Subfactor Planar Algebras"
  16. Great Plains Operator Theory Symposium (GPOTS), The Ohio State University, Columbus, Ohio, May 2023,
    "Skein Theory for Index 4 Subfactor Planar Algebras"
  17. AMS Spring Western Sectional, "Algebraic Structures in Knot Theory" Special Session, Fresno State University, Fresno, California, May 2023,
    "Diagrammatic Presentations of Affine Type A Subfactor Planar Algebras of Index 4"
  18. Moab Topology Conference, Utah State University - Moab, Moab, Utah, May 2023,
    "Skein Theory for Affine ADE Subfactor Planar Algebras"
  19. Redbud Topology Conference, University of Oklahoma, Norman, Oklahoma, March 2023,
    "Skein Theory of Affine Type A Subfactor Planar Algebras"
  20. Underrepresented Students in Topology and Algebra Symposium (USTARS), University of Washington, Seattle, Washington, March 2023,
    "Diagrammatic Presentations of Index 4 Planar Algebras"
  21. QGS: Quantum Groups Seminar, Université de Lille, & University of Oslo (On Zoom), March 2023,
    "Skein Theory for Affine ADE Subfactor Planar Algebras" (Video)
  22. Tech Topology Conference, Georgia Institute of Technology, Atlanta, Georgia, December 2022,
    "Diagrammatic Presentations of Index 4 Subfactor Planar Algebras"
  23. Topology Students Workshop, Georgia Institute of Technology, Atlanta, Georgia, July 2022,
    "Diagrammatic Presentations of Affine Type A Subfactor Planar Algebras of Index 4"

Conference and Special Session Organization

  1. Underrepresented Students in Topology and Algebra Symposium (USTARS), TBD, 2025 (Co-organizer)
  2. Texas-Oklahoma Representation Theory and Automorphic Forms for Students (TORAS), University of Oklahoma, Norman, Oklahoma March 2015 (Co-Organizer with J. Merlini, G. Brown, J. Jackson, S. Turki, L. Tran, and J. Zhu)
  3. Math Day Fun Session,"Fractals and the World Around Us", University of Oklahoma, Norman, Oklahoma, November 2015 (Co-Organizer with J. Meyer)

Poster Presentations

  1. Graduate Student Topology and Geometry Conference, Michigan State University, East Lansing, Michigan, April 2024,
    "A Determinant Formula of the Jones Polynomial for a Family of Braids"
  2. BRIDGES: Building Relationships for an Inclusive and Diverse Group of Emerging Students, University of Utah, Salt Lake City, Utah, June 2022,
    "Diagrammatic Presentations of Affine Type A Subfactor Planar Algebras of Index 4"
  3. Undergraduate Research Conference, University of California - Davis, Davis, California, April 2014,
    "Comparing Voting Systems Using Kemeny Rankings"
  4. MAA Golden Section Meeting, Sonoma State University, Sonoma, California, February 2014,
    "Comparing Voting Systems Using Kemeny Rankings"