Fourteenth Annual Fall-Term PRIMES Conference, October 12-13, 2024

Saturday, October 12

Mathematics

Room 4-370 , MIT

Open to the public

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

9:15-10:20 am: Session 1

• Jerry Zhang, Quantum-Sound Property Tests for Linear and Affine Linear Functions (mentor David Cui)
• Rohan Dhillon, Patterns in the Stable SL(N) Homologies of Torus Knots (mentor Dr. Joshua Wang, Princeton/IAS)
• Qiao (Tiger) Zhang, On the Expressive Power of Modified Graph Neural Networks for Graphs with Bounded Cycle Size (mentor Dr. Ziang Chen)
• Lexing (Alex) Huang, Agniv Sarkar, and Kartik Ramachandrula, Neural Network Pipeline for Systems Biology: Solving the Notch Signaling Pathway (mentor Prof. Lu Lu, Yale)

10:40-11:40 am: Session 2

• Eric Wang, Conformal Type Problem via Discrete Analysis (mentor Prof. Sergiy Merenkov, CCNY)
• Henry Jiang, Electric Potential of a Torus Knot Along the Axis (mentor Dr. Max Lipton)
• Skyler Mao, Investigating the Collapse and Convergence of Particle-Wave Statistics in Pilot-Wave Hydrodynamics (mentor David Darrow)
• Michael Lu, Special Bounds for Theta Sums (mentor Dr. Tariq Osman, Brandeis University)

12:00-1:00 pm: Session 3

• Owen Zhang, Tetrahedron-Intersecting Families of 3-Uniform Hypergraphs (mentor Nitya Mani)
• Katelyn Gan, The Ungar Games Played on Various Lattices (mentor Yunseo Choi, Harvard University)
• Aarush Vailaya, Chromatic Symmetric Function of Cycle Chains (mentor Dr. Foster Tom)
• Andrew Brahms, Alan Duan, and Jacob Greene, Saturation of 0-1 Matrices (mentor Dr. Jesse Geneson, SJSU)

2:00-3:05 pm: Session 4 (in parallel with Computer Science sessions in the afternoon)

• Jason Mao, Differentiating Point Cloud Distributions Using Persistence Homology (mentor Jonathan Rodriguez Figueroa)
• Hannah Fox, Monochromatic Components with Many Edges in Random Graphs (mentor Dr. Sammy Luo)
• Neil Krishnan, On the Connectivity of Friends-and-Strangers Graphs (mentor Rupert Li)
• Christopher Bao, Joshua Wang and William Zhao, Minimum and Approximate Minimum k-Cuts in Hypergraphs (mentor Yuchong Pan)

3:25-4:25 pm: Session 5

• Anay Aggarwal, Ekan Kaur, and Susie Lu, Bringing Reproducibility to Cancer Research: A Comparative Analysis of Machine Learning Models for Thyroid Cancer Recurrence Prediction (mentor Dr. Marly Gotti, Apple)
• Arjun Agarwal, Rachel Chen, and Rohan Garg, Automorphically Equivalent Elements in Finite Abelian Groups (mentors Prof. Jim Coykendall and Jared Kettinger, Clemson University)
• Eddy Li, Advaith Mopuri, and Charles Zhang, A Goldbach Theorem for Group Semidomains (mentor Prof. Harold Polo, University of Florida)

4:45-5:45 pm: Session 6

• Jonathan Du, Bryan Li, and Nick Zhang, On the Internal Sum of Positive Monoids (mentor Dr. Felix Gotti)
• Evin Liang, Alexander Wang, and Lerchen Zhong, Maximal Common Divisors of Puiseux Monoids (mentor Dr. Felix Gotti)
• Jiya Dani, Leo Hong, and Shimon Schlessinger, Finitary Power Monoids: Atomicity, Divisibility, and Beyond (mentors Dr. Felix Gotti and Benjamin Li)

Computer Science and Computational Biology (in parallel with Math sessions in the afternoon)

Room 4-270 , MIT

1:30 pm: Welcoming Remarks

• Dr. Slava Gerovitch, PRIMES Program Director
• Prof. Srini Devadas, PRIMES Computer Science Section Coordinator

1:35-2:45 pm: Session 7

• Eric Chen and Rohith Raghavan, Comparing Methods of Opportunistic Risk-Limiting Audits (mentor Mayuri Sridhar)
• Adam Ge and Aadya Goel, Unlearning Mechanisms in Graph Models for Document Classification (mentor Mayuri Sridhar)
• Coleman DuPlessie, Sparse Autoencoders for Interpretability in Reinforcement Learning Models (mentor Andrew Gritsevskiy, University of Wisconsin–Madison)
• Sophia Yan, A Multi-Omic Approach to Uncover Enhancer-Gene Interactions in the Human Brain (mentor Dr. Nicole Rockweiler, Broad Institute)

3:05-4:05 pm: Session 8

• Michael Han and Ashley Yu, Introducing Multi-Stage Multiplicative-Weights Update and An Empirical Evaluation of Convergence to Correlated Equilibria (mentor Noah Golowich)
• Eric Archerman and Celine Zhang, Using Ideas from Hardware to Accelerate Zero-Knowledge Virtual Machines (mentor Simon Langowski)
• Adrita Samanta and Govind Velamoor, Adaptive Timeout Strategies for Microservice Applications (mentors Prof. Raja Sambasivan, Max Liu, and Zhaoqi Zhang, Tufts University)

4:25-5:15 pm: Session 9

• Shreyas Ekanathan, Adaptive Order Radau Methods (mentor Dr. Christopher Rackauckas)
• Albert Lu, Alcatraz: Secure Remote Computation via Sequestered Encryption in Hardware Security Module (mentors Jules Drean and Sacha Servan-Schreiber)
• Maya Kalai and Ella Kim, Inner-Product Predicate Encryption from Weaker Assumptions (mentor Sacha Servan-Schreiber)

5:35-6:35 pm: Session 10

• Raj Saha, Figurative Language as a Mobilizer to Act: A Multi-method Approach (mentors Prof. Ann Kronrod, UMass Lowell, and Prof. Ivan Gordeliy, EDHEC Business School)
• Stephanie Wan, Transparent Authorship Verification with Machine Learning Models (mentor Dr. Gil Alterovitz, Harvard Medical School)
• Siddharth Nirgudkar, Contextualized Transfer Learning: Transforming Heterogeneity into Predictive Power with Generative Latent Structures in Resource-Limited Settings (mentor Dr. Ben Lengerich)
• Rajarshi Mandal, Epigenetic Clocks and Aging Biomarkers: A Multi-Omics Exploration of DNA Methylation, SURF1 Mutation, and Regenerative Therapies (mentor Dr. Gil Alterovitz, Harvard Medical School)

Sunday, October 13

Mathematics

Room 4-370 , MIT

9:00-9:45 am: Session 11

• Marina Lin, CAACS: A Carbon-Aware Ant Colony System (mentor Prof. Laura Schaposnik, University of Illinois at Chicago)
• Weian (Andrew) Xie, Worst-Case Error Bounds on Online Learning of Smooth Functions (mentor Dr. Jesse Geneson, SJSU)
• Aidan Gao, Spatial Clustering and Classification with Graph Neural Networks (mentor Junhong Lin)

10:05-11:05 am: Session 12

• Rohan Das, New Multiplicative Structures on Frobenius Algebras (mentors Julia Plavnik, Indiana University Bloomington, and Dr. Pablo Ocal, UCLA)
• Enmei (Emma) Yang, Examples of the Reflective Algebra for Various Hopf Algebras (mentors Prof. Julia Plavnik and Dr. Héctor Peña Pollastri, Indiana University Bloomington)
• Sargam Mondal, Exact Factorizations of G-crossed Braided Fusion Categories (mentors Prof. Julia Plavnik, Indiana University Bloomington, and Prof. Monique Müller, Universidade Federal de São João del-Rei, Brazil)
• Jiwu Jang, Vertex Functions of Type D Nakajima Quiver Varieties (mentor Dr. Hunter Dinkins)

11:25 am - 12:30 pm: Session 13

• Hwisoo (Harry) Kim, Subregular Affine Kazhdan-Lusztig Polynomials in Type D (mentor Kenta Suzuki)
• Sophia Liao, Transitivity of Bender–Knuth Moves on Standard and Semistandard Young Tableaux (Prof. Leonid Rybnikov, Université de Montréal)
• Eric Yee, Hilbert Series of Quasi-Invariant Polynomials in Characteristics p ≤ n (mentor Frank Wang)
• Sidarth Erat and Shihan Kanungo, Mixed Tensor Products for Lie Superalgebras (mentor Arun Kannan)