Krystal Taylor
Mathematics · The Ohio State University
Publications
49
Citations
112
Est. group size
—
Recurring co-author estimate
Active years
16
Publishing since 2011
Krystal Taylor works in geometric measure theory and harmonic analysis, studying how fractal sets like Cantor sets interact with geometric patterns such as point configurations, arithmetic progressions, and distances. Much of this research asks when sets that look 'thin' or irregular still contain rich geometric structure, such as triangles, trees of points, or lattice points near curved surfaces. This work connects to longstanding open problems in the field, including variants of the Erdős similarity conjecture.
Publication output grew steadily from 2017 through a peak in 2022, then leveled off to a consistent pace of several papers per year through 2026.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Counting Lattice Points Near Korányi Spheres via Generalized Radon Transforms
Journal of Fourier Analysis and Applications · 2026
- Triangles in the plane and arithmetic progressions in thick compact subsets of upper R Superscript d$\mathbb {R}^d$ <mml:math xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mnf="http://cambridge.org/core/manifest" xmlns:cup="http://contentservices.cambridge.org" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:m="http://cambridge.org/core/metadata" xmlns:core="http://cambridge.org/core" xmlns:c="http://cambridge.org/core/content" display="inline"> <mml:mstyle mathvariant="double-struck"> <mml:msup> <mml:mi>R</mml:mi> <mml:mi>d</mml:mi> </mml:msup> </mml:mstyle> </mml:math>
Canadian Journal of Mathematics · 2026
- Triangles in the plane and arithmetic progressions in thick compact subsets of $\mathbb {R}^d$
Canadian Journal of Mathematics · 2026
- Interior of pinned distance trees over thin Cantor sets
Journal of Fractal Geometry Mathematics of Fractals and Related Topics · 2026
- Realizing trees of configurations in thin sets
Pacific Journal of Mathematics · 2025
- Point configurations in sets of sufficient topological structure and a topological {E}rdős similarity conjecture
ArXiv.org · 2025
- Point configurations in sets of sufficient topological structure and a topological Erdős similarity conjecture
Research in the Mathematical Sciences · 2025
- Interior of distance trees over thin Cantor sets
arXiv (Cornell University) · 2025
- Nonempty interior of configuration sets via microlocal partition optimization
Mathematische Zeitschrift · 2024
- Realizing trees of configurations in thin sets
arXiv (Cornell University) · 2024
- Connections Between Fractal Geometry and Projections
Notices of the American Mathematical Society · 2024
- Finite point configurations in products of thick Cantor sets and a robust nonlinear Newhouse Gap Lemma
Mathematical Proceedings of the Cambridge Philosophical Society · 2023
- Infinite constant gap length trees in products of thick Cantor sets
Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2023
- Transversal families of nonlinear projections and generalizations of Favard length
Analysis & PDE · 2023
- Lattice Points Close to the Heisenberg Spheres
La Matematica · 2023
- arXiv (Cornell University)×15
- Mathematika×2
- Mathematical Proceedings of the Cambridge Philosophical Society×2
- Indiana University Mathematics Journal×2
- Journal of Geometric Analysis×2
- Andreas Koutsogiannis
Mathematics · The Ohio State University
- Marlies Gerber
Mathematics · Indiana University
- Nimish A. Shah
Mathematics · The Ohio State University
- Andrey Gogolev
Mathematics · The Ohio State University
- Chris Judge
Mathematics · Indiana University
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 19, 2026.
Claim or correct this profile