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Polymath Jr. results from summer of 2021

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​       Papers produced during this summer:​

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Projects and Mentors:​

  • Expanding Polynomials: Adam Sheffer, Sara Fish, Sam Mansfield, Sophie Stevens, Audie Warren.

  • Benford's Law: Steven J. Miller, Thomas C. Martinez, Danny Stoll.

  • Number Theory: Steven J. Miller, Thomas C. Martinez.

  • Markov Games: Johanna Franklin, Heidi Benham.

  • Computational Algebra: Alexandra Seceleanu, Michael DeBellevue, Shah Roshan Zamir.

  • Finding Ellipses: Yunus Zeytuncu, Gabe Udell.

  • Gelfand–Tsetlin Polytopes: Ben Brubaker, Andy Hardt.

  • Square-free Words: Eric Rowland, John Jairo Lopez.

  • Lattice Knots and Links: Marion Campisi, Nicholas Cazetemail, Luis Torres.

  • Numerical Semigroups and Polyhedra: Christopher O'Neill, Tara Gomes, Rene Ardila.

  • Diophantine m-tuples and elliptic curves: Seoyoung Kim, Steven J. Miller, Trajan Hammonds. 

  • Knotted surfaces in dimension four: Alex Zupan, Nicholas Meyer, Ana Wright.

  • Selecting balls from urns: Enrique Treviño, Maximiliano Sánchez Garza.

  • Schreier graphs of self-similar groups: Zoran Sunic, John Connell.

  • Anti-Ramsey multiplicities of graphs: Zhanar Berikkyzy, Gabriel Elvin.

  • Evaluating Integrals: Victor Moll, Vaishavi Sharma.

  • Erdos-Ko-Rado Problems: Pat Devlin, Erin Meger, and Luis Perez.

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