Polymath Jr. results from summer of 2020
​ Papers produced during this summer:​
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Consequences of the packing problem, Journal of Algebraic Combinatorics 54 (2021), 1095–1117 .
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Lp Regularity of Toeplitz Operators on Generalized Hartogs Triangles, European Journal of Mathematics, to appear.
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Convex geometries representable by at most 5 circles on the plane, Involve 17 (2024), 337–354.
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Distinct Distances with L_p metrics, Computational Geometry: Theory and Applications 100 (2022): 101785. Young Researchers Award.
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Filtering cohomology of ordinary and Lagrangian Grassmannians, Involve, a Journal of Mathematics 15-2 (2022), 271--288.
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Computing Rational Powers of Monomial Ideals, Journal of Symbolic Computation 116 (2023), 39-57.
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When Life Gives You Lemons, Make Mathematicians, Notices of the AMS 68 (2021), 375--478.
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Extending Zeckendorf's Theorem to a Non-constant Recurrence and the Zeckendorf Game on this Non-constant Recurrence Relation, Fibonacci Quarterly 58 (2020), 55--76.
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Winning strategy for the multiplier and multialliance Zeckendorf games, Fibonacci Quarterly 59 (2021), 308--318.
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Convex bodies and asymptotic invariants for powers of monomial ideals, Journal of Pure and Applied Algebra 226 (2022), 107089.
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Bounds on Zeckendorf Games, Fibonacci Quarterly, to appear.
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Walking to infinity along some number theory sequences, Steven J. Miller, Fei Peng, Tudor Popescu, Joshua M. Siktar, Nawapan Wattanawanichkul, Integers 24 (2024) #A78.
- Modeling Random Walks to infinity along some number theory sequences, the Journal of Integer Sequences 25 2022, Article 22.6.1.
- Convex geometries representable with colors, by ellipses on the plane, and impossible by circles, Acta Scientiarum Mathematicarum 90 (2024) 269–322.
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Walking to Infinity on primes in $\mathbb{Z}[\sqrt{2}]$, submitted to a journal
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The Explorer-Director Game on Graphs, submitted to a journal.
Projects and Mentors:​
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Zeckendorf Games, Walking to Infinity on Special Sequences: Steven Miller*, Clayton Mizgerd, Fei Peng, Tudor Popescu, Nawapan Wattanawanichkul.
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Q-Binomials and the Grassmannian: Victor Reiner, Galen Dorpalen-Barry.
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Convex Geometries: Kira Adaricheva*, Madina Bolat, Gent Gjonbalaj.
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Toepliz operators on Bergman spaces, Rearrangement of Series, Weak-type (1,1) Estimates for Riesz Transforms: Yunus Zeytuncu*, Cody Stockdale, Nathan Wagner.
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Distinct distances: Adam Sheffer*, Nóra Frankl, Surya Mathialagan, Jonathan Passant.
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Monomials, Convex Bodies, and Optimization: Alexandra Seceleanu*, Ben Drabkin, Tingting Tang.
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Generalized Alternating Sign Matrices: Ben Brubaker*, Claire Frechette, Elizabeth Kelley, Eric Nathan Stucky.
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Explorer Director Game, Hat Guessing Number of Graphs: Pat Devlin*, Erin Meger, Abigail Raz.