Eleventh Annual Fall Term PRIMES Conference, October 16, 2021

Saturday, October 16

Mathematics

9:00 am: Welcoming Remarks

Prof. Michel Goemans, Head of the MIT Mathematics Department
Prof. Pavel Etingof, PRIMES Chief Research Advisor
Dr. Slava Gerovitch, PRIMES Program Director

9:15-10:15 am: Session 1: Applied Mathematics

Yi (Alex) Liang, “Predicting pandemics with stock market indicators” (mentor Prof. James Unwin, University of Illinois at Chicago)
Linda He, “A topological centrality measure for directed networks” (mentor Lucy Yang, Harvard University)
Jeremy Yu, “Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems” (mentor Dr. Lu Lu)
Garrett Heller, “Strichartz estimates and well-posedness for the one-dimensional periodic Dysthe equation” (mentor Chengyang Shao)

10:25-11:15 am: Session 2: Algebra

Andrew Gu, “Counting LU matrices with fixed eigenvalues” (mentor Dr. Jonathan Wang)
Zifan Wang, “Representation stability and orthogonal groups” (mentor Arun Kannan)
Karthik Seetharaman, William Yue, and Isaac Zhu, “Regularities in the lattice homology of Seifert homology spheres” (mentor Dr. Irving Dai)

11:25 am - 12:25 pm: Session 3: Algebra

Ilaria Seidel, “Bounds on symmetric numerical semigroups” (mentor Jeffery Yu)
Yanan (Nancy) Jiang, Benjamin Li, and Sophie Zhu “Factorization invariants of algebraic valuations of positive cyclic semirings” (mentor Dr. Felix Gotti)
Sophie Zhu, “Factorizations in evaluation monoids of Laurent semirings” (mentor Dr. Felix Gotti)
Benjamin Li, “A new class of atomic monoid algebras without the ascending chain condition on principal ideals” (mentor Dr. Felix Gotti)

12:30-1:00 pm: Virtual Chat with PRIMES Chief Research Advisor Prof. Pavel Etingof and Head Mentor Dr. Tanya Khovanova (for students and parents)

1:30-2:35 pm: Session 4: Applied Mathematics

Sheryl Hsu, “The Power of Many: A Physarum Swarm Steiner Tree Algorithm” (mentor Prof. Laura Schaposnik, University of Illinois at Chicago)
Alex Hu, “Improved graph formalism for quantum circuit simulation” (mentor Andrey Khesin)
Yash Agarwal, “Convolutional encoder decoder network for the removal of coherent seismic noise” (mentor Sarah Greer)
Raymond Feng, Andrew Lee, and Espen Slettnes, “Results on various models of mistake-bounded online learning” (mentor Dr. Jesse Geneson, San Jose State University)

2:45-3:40 pm: Session 5: Combinatorics

Atharva Pathak, “Combinatorial aspects of the card game War” (mentor Dr. Tanya Khovanova)
Sophia Benjamin, Arushi Mantri, and Quinn Perian, “On the Wasserstein distance between k-step probability measures on finite graphs” (mentor Pakawut Jiradilok)
Anuj Sakarda, Jerry Tan, and Armaan Tipirneni, “On the distance spectra of extended double stars” (mentor Feng Gui)

3:50-4:50 pm: Session 6: Geometry

Andrew Du, “Quaternion-based analytical inverse dynamics for the human body” (mentor David Darrow)
Kevin Cong, “Square tilings of translation surfaces” (mentor Prof. Sergiy Merenkov, CCNY – CUNY)
Daniel Xia, “A Minkowski-type inequality in AdS-Melvin space” (mentor Prof. Pei-Ken Hung, University of Minnesota)
Luke Robitaille, “Topological entropy of simple braids” (mentor Dr. Minh-Tam Trinh)

5:00-5:45 pm: Session 7: Algebra

Sushanth Kumar, “Extending the restricted Lie algebra structure on the homology of a double loop space” (mentor Adela Zhang)
Joshua Guo, “On the Gauss-Epple homomorphism of B_n, and generalizations to Artin groups of finite type” (mentor Kevin Chang)
Ram Goel, “Products of reflections in smooth Bruhat intervals” (mentor Christian Gaetz)