40 research outputs found
Deformations of highly symmetric Calabi-Yau Grassmannian hypersurfaces (computational tools)
No full text<p>This file provides SageMath worksheets and records of Magma sessions associated with the paper "Deformations of highly symmetric Calabi-Yau Grassmannian hypersurfaces" by Adriana Salerno, Ursula Whitcher, and Chenglong Yu.</p>
Mirror Symmetry in Reflexive Polytopes
No full textColor poster with text and images.There are always two Calabi-Yau varieties that produce a particular physical model. In mathematics we call this phenomenon mirror symmetry, the purpose of this study.Blugold Commitment Differential Funds; University of Wisconsin--Eau Claire Office of Research and Sponsored Program
Four Dimensional Tops
No full textColor poster with text and diagrams.String theory predicts that the universe has extra dimensions, which have the structure of
Calabi-Yau varieties; the universes defined by
these varieties are conjectured to occur in physically indistinguishable pairs. The mathematical field of mirror symmetry seeks to understand the geometric correspondences between paired Calabi-Yau varieties. A lattice polytope is defined to be reflexive if its polar dual is also a lattice polytope. It has already been shown that reflexive polytopes can be used to describe Calabi-Yau hypersurfaces. This study looks at reflexive polytopes to gain important insight into the nature of hidden dimensions in space. Reflexive polytopes have been classified in 3D and 4D, with 4,319 and 473,800,776 classes of equivalent polytopes respectively.University of Wisconsin--Eau Claire Office of Research and Sponsored Programs
New Methods of Constructing 4-dimensional Tops
No full textColor poster with text and images.The mathematical field of mirror symmetry
seeks to understand the geometric correspondences
between paired Calabi-Yau varieties.Blugold Commitment; University of Wisconsin--Eau Claire Office of Research and Sponsored Program
Constructing 4-Dimensional Tops
No full textColor poster with text and figures.String Theory predicts that the universe has several extra dimensions, which have the structure of Calabi-Yau varieties; the universes defined by these varieties are conjectured to occur in physically indistinguishable pairs. The purpose of this study was to incorporate the mathematical field of mirror symmetry to understand the geometric correspondences between paired Calabi-Yau varieties.University of Wisconsin--Eau Claire Office of Research and Sponsored Programs
Constructing 4D Tops and Analyzing Reflexive Polygons
No full textColor poster with text and figures.String theory predicts that the universe
has several extra dimensions, which have the
structure of Calabi-Yau varieties. The universes are
defined by these varieties, which are conjectured to
occur in physically indistinguishable pairs.
The mathematical field of mirror symmetry
seeks to understand the geometric correspondences
between paired Calabi-Yau varieties.University of Wisconsin--Eau Claire Office of Research and Sponsored Programs
Branch cuts: writing, editing, and ramified complexities
No full textAs I was preparing my tenure application, the University of Wisconsin Board
of Regents voted to redefine tenure, removing many of the institution's
historical protections. Reevaluating my career priorities in light of these
changes and a resurgent two-body problem, I recognized that my fundamental goal
was communicating mathematical ideas. I found a new role as an editor at
Mathematical Reviews, part of the American Mathematical Society. To my
surprise, thinking more about my identity as a writer and editor also changed
my perspective on my own sexuality and gender identity, inspiring new
approaches to leadership.Comment: Appears in the volume Aspiring and Inspiring: Tenure and Leadership
in Academic Mathematics (AMS, 2023
