Primes Logo Thirteenth Annual Fall-Term PRIMES Conference, October 14-15, 2023

October conference abstracts booklet

PRIMES Math students and mentors with Pavel Etingof and Tanya Khovanova
PRIMES Math students and mentors with Pavel Etingof and Tanya Khovanova

Saturday, October 14

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
Catherine Li

9:15-10:15 am: Session 1. Mathematics and Computer Science

  • Catherine Li, Machine Learning and Gradient Descent for Infectious Disease Risk Prediction (mentor Daniel Lazarev) (slides)
  • Eric Wang, Speeding up and Reducing Memory for Scientific Machine Learning via Mixed Precision (mentor Prof. Lu Lu, University of Pennsylvania) (slides)
  • Michelle Wei, Solving Second-order Cone Programs in Matrix Multiplication Time (mentor Guanghao Ye)
  • Coleman DuPlessie and Aidan Gao, Stability Techniques in Differentially Private Machine Learning (mentor Hanshen Xiao) (slides)
Michelle Wei

10:30-11:45 am: Session 2. Algebra

  • Michael Yang, The Rank and Rigidity of Group-Circulant Matrices (mentor Dr. Minh-Tâm Trinh) (slides)
  • Rohan Das, Christopher Qiu, and Shiqiao Zhang, The Distribution of the Cokernel of a Random Integral Symmetric Matrix Modulo a Prime Power (mentors Prof. Gilyoung Cheong and Prof. Nathan Kaplan, University of California Irvine) (slides)
  • Henry Jiang, Shihan Kanungo, and Harry Kim, On a Weaker Notion of the Finite Factorization Property (mentors Prof. Jim Coykendall, Clemson University, and Dr. Felix Gotti, MIT) (slides)
  • Joshua Jang, Jason Mao, and Skyler Mao, Betti Graphs and Atomization of Puiseux Monoids (mentors Prof. Scott Chapman, SHSU, and Dr. Felix Gotti, MIT) (slides)
Alex Zhao

12:00-1:00 pm: Session 3. Applied Mathematics

  • Raina Wu, Link Prediction and Influencer Identification on Weighted Graphs (mentor Prof. Laura Schaposnik, University of Illinois at Chicago) (slides)
  • Steve Zhang, Absolute Tectonic Plate Motion Optimization (mentor Prof. James Unwin, University of Illinois at Chicago) (slides)
  • Alex Zhao, Oscillating Near Circles at Intermediate Reynolds Numbers (mentor Dr. Nicholas J. Derr) (slides)
  • Roger Fan, Multidisperse Random Sequential Adsorption and Generalizations (mentor Nitya Mani) (slides)
Audience at the conference

2:00-3:10 pm: Session 4. Combinatorics

  • David Dong, On Generalized Eulerian Numbers (mentor Dr. Tanya Khovanova) (slides)
  • Srinivas Arun, Improved Bounds on Helly Numbers of Exponential Lattices (mentor Travis Dillon) (slides)
  • Aryan Bora and Lucas Tang, On the Spum and Sum-Diameter of Paths (mentor Yunseo Choi, Harvard University) (slides)
  • Evan Chang and Neel Kolhe, Upper Bounds on the 2-colorability Threshold of Random d-regular k-uniform Hypergraphs for k ≥ 3 (mentor Dr. Youngtak Sohn) (slides)
Evan Chang and Neel Kolhe

3:20-4:05 pm: Session 5. Combinatorics

  • Linus Tang, Extremal Bounds on Peripherality Measures (mentor Dr. Jesse Geneson, SJSU) (slides)
  • Eric Zhan, On the Winning and Losing Parameters of Schmidt Games (mentor Vasiliy Nekrasov) (slides)
  • Raymond Luo, Cyclic Base Orderings and Equitability of Matroids (mentor Yuchong Pan) (slides)
Eric Zhan

4:15-5:00 pm: Session 6. Category Theory

  • William Gvozdjak, On the Classification of Low-Rank Odd-Dimensional Modular Categories (mentors Prof. Julia Plavnik, Indiana University Bloomington, and Agustina Czenky, University of Oregon) (slides)
  • Akshaya Chakravarthy, On Modular Categories with Frobenius-Perron Dimension Congruent to 2 Modulo 4 (mentors Prof. Julia Plavnik, Indiana University Bloomington, and Agustina Czenky, University of Oregon) (slides)
  • Joseph Vulakh, Simple Racks over the Alternating Groups (mentors Prof. Julia Plavnik and Dr. Héctor Peña Pollastri, Indiana University Bloomington) (slides)
PRIMES Math students and mentors with Pavel Etingof and Tanya Khovanova

Sunday, October 15

Mathematics (in parallel with Computer Science sessions in the morning)

Room 4-370 , MIT

Open to the public

9:00-10:15 am: Session 7. Algebra

  • Ethan Liu, On the Structure and Generators of the n-th Order Chromatic Algebra (mentor Merrick Cai) (slides)
  • Justin Zhang, An Extension of Benson’s Conjecture to Finite 3-Groups for Monomial Modules with Null Inner Partition (mentor Dr. Kent Vashaw)(slides)
  • Andrew Lin, Henrick Rabinowitz, and Qiao Zhang, The Furstenberg Property in Puiseux Monoids (mentor Dr. Felix Gotti) (slides)
  • Hannah Fox, Agastya Goel, and Sophia Liao, Arithmetic of semisubtractive semidomains (mentor Prof. Harold Polo, University of Florida) (slides)
Anton Levonian

10:25-11:30 am: Session 8. Geometry and Other Topics

  • Anton Levonian, Existence of Circle Packings on Certain Translation Surfaces (mentor Prof. Sergiy Merenkov, CCNY – CUNY) (slides)
  • Nicholas Hagedorn, Algorithmically Generated Pants Decompositions of Combinatorial Surfaces (mentor Elia Portnoy) (slides)
  • Alexander Li, Canonical Forms for Toric and Surface Codes in ZX Calculus (mentor Andrey Boris Khesin) (slides)
  • Iz Chen and Krishna Pothapragada, Classification of Non-degenerate Symmetric Bilinear Forms in the Verlinde Category Ver4+ (mentor Arun Kannan) (slides)
Matvey Borodin

11:40 am - 12:40 pm: Session 9. Group Theory and Representations

  • Matvey Borodin, The Action of the Cactus Group on Arc Diagrams (mentor Prof. Leonid Rybnikov) (slides)
  • Alan Bu, The Local-Global Principle and a Projective Twist on the Hasse Norm Theorem (mentor Dr. Thomas Rüd) (slides)
  • Brian Li, Tensor Product Decompositions for Modules over Subregular W-Algebras (mentor Dr. Artem Kalmykov) (slides)
  • Razzi Masroor, Hyperoctahedral Schur Algebra and the Hyperoctahedral Web Algebra (mentor Dr. Elijah Bodish) (slides)
PRIMES Math students and mentors with Pavel Etingof, Slava Gerovitch, and Tanya Khovanova

Computer Science (in parallel with Math sessions in the morning)

Room 4-270 , MIT

Open to the public

9:00 am: Welcoming Remarks

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

9:10-10:05 am: Session 10. Computer Science

  • Dongchen Zou, Intersection Attack in Non-Uniform Setting (mentor Simon Langowski) (slides)
  • Alan Song and Evan Ning, Exploring Data-driven Resource Management for Serverless Systems (mentors Varun Gohil, Nikita Lazarev, and Yueying (Lisa) Li) (slides)
  • Rohith Raghavan and Eric Chen, Comparing Methods of Opportunistic Risk-Limiting Audits (mentor Mayuri Sridhar) (slides)
Garima Rastogi and Sophia Lichterfeld

10:20-11:25 am: Session 11. Computer Science

  • Boyan Litchev, Parallelizable and Updatable Private Information Retrieval (mentor Simon Langowski) (slides)
  • Andrew Carratu and Albert Lu, Public-key Signature Scheme with Reduced Hardware Trust (mentors Sacha Servan-Schreiber and Jules Drean) (slides)
  • Yifan Kang, NUMA-Aware Data Structure Design & Benchmarking (mentors Shangdi Yu and Prof. Julian Shun) (slides)
  • Omar El Nesr, Fast GPU Accelerated Ising Models for Practical Combinatorial Optimization (mentor Axel Feldmann) (slides)
PRIMES Computer Science students and mentors

11:40 am - 12:50 pm: Session 12. Computer Science

  • Sarah Pan, Let's Reinforce Step by Step (mentors Prof. Anna Rumshisky and Vlad Lialin, UMass Lowell)
  • Eddie Wei, The Algebraic Value-Editing Conjecture in Deep Reinforcement Learning (mentor Andrew Gritsevskiy, Cavendish Labs) (slides)
  • Henry Han and Adrita Samanta, Visualizing Distributed Traces in Aggregate (mentors Darby Huye, Max Liu, Roy Zhang, and Prof. Raja Sambasivan, Tufts University) (slides)
  • Garima Rastogi and Sophia Lichterfeld, How Do I Pay Thee? Let Me Count the Ways: Leveraging Ethereum Smart Contracts to Facilitate Web Monetization Adoption (mentor Kyle Hogan) (slides)
Elizaveta Rybnikova

Computational and Physical Biology and Bioinformatics

Room 4-270 , MIT

Open to the public

2:00-3:15 pm: Session 13: Computational and Physical Biology

  • Valentina Zhang, Identifying Microglial Heterogeneity in Alzheimer's Disease (mentor Dr. Ayshwarya Subramanian, Broad Institute)
  • Raj Saha, Surveying the Presence and Diversity of Viruses in Mammalian Transcriptomes (mentor Dr. Ayshwarya Subramanian, Broad Institute)
  • Amith Saligrama, A Novel Statistical Framework for Identification of Mutated Cells (mentors Dr. Giulio Genovese, Broad Institute, and Prof. Steve McCarroll, Harvard Medical School) (slides)
  • Anna Du, Utilizing Machine Learning to Identify Time Asymmetry of DNA Loop Extrusion (mentors Dr. Aleksandra Galitsyna and Henrik Pinholt) (slides)
  • Elizaveta Rybnikova, Exploration of Hi-C Patterns Through Computer Simulations (mentors Dr. Aleksandra Galitsyna and Henrik Pinholt) (slides)
Irene Jiang

3:25-4:40 pm: Session 14: Bioinformatics

  • Irene Jiang, Machine Learning Inference of Causal Genes for Tuberculosis using Mendelian Randomization and Single-cell Sequencing (mentor Prof. Gil Alterovitz, Harvard Medical School)
  • Gavin Ye, Drug Design as Causal Language Modeling: Transferring Large Chemistry Models for De-Novo Drug Design with Supervised and Reinforcement Learning (mentor Prof. Gil Alterovitz, Harvard Medical School)
  • Aaron Li, Identification of Biomarkers for Insulin Resistance using Meta-Analysis and Machine Learning (mentor Prof. Gil Alterovitz, Harvard Medical School)
  • Stephanie Wan, Biomarker Identification of Oral Squamous Cell Carcinoma through Transcriptomic Expression Analysis (mentor Prof. Gil Alterovitz, Harvard Medical School)
  • Rianna Santra, Transcriptomic Analysis of the Dengue Virus using Feature Selection and Random Forest (mentor Prof. Gil Alterovitz, Harvard Medical School)
PRIMES Computational Biology students and mentors

Thirteenth Annual Spring-Term PRIMES Conference, May 13-14, 2023

Room 2-190 , MIT

Open to the public

May conference abstracts booklet

Saturday, May 13

1:15 pm: Welcoming Remarks

  • Prof. Pavel Etingof, PRIMES Chief Research Advisor
  • Dr. Slava Gerovitch, PRIMES Program Director
PRIMES Circle students with Program Coordinator Mary Stelow
PRIMES Circle students with Program Coordinator Mary Stelow

1:20-1:50 pm: Session 1. Math Reading Groups

  • Rishi Gujjar, “Theorems in the Differential Geometry of Curves and Surfaces” (mentor Dr. Jingze Zhu) (slides)
  • Isha Agarwal & Victoria Li, “Knot Theory” (mentor Julius Baldauf) (slides)
Chahat Kalia & Cynthia Tian
Chahat Kalia & Cynthia Tian

2:00-3:10 pm: Session 2. PRIMES Circle

  • Marisa Gaetz & Mary Stelow, PRIMES Circle coordinators, Welcoming remarks
  • Chahat Kalia & Cynthia Tian, “Stirling Numbers of the Second Kind” (mentor Paige Dote) (slides)
  • Cathal Stephens & Roonak Thapa, “Euler’s Totient Function” (mentor Ariana Park) (slides)
  • Elian Martinez & Jorge Sanchez, “Knot Theory” (mentor Luis Modes) (slides)
Cathal Stephens & Roonak Thapa
Cathal Stephens & Roonak Thapa

3:20-4:10 pm: Session 3. PRIMES Circle

  • Matheus Alves & Gael Medina, “Data Structures and Graph Algorithms (mentor Carlos Alvarado) (slides)
  • Veronika Moroz, Ada Tsui & Athena Wang, “Combinatorics and Representation Theory” (mentor Katherine Tung) (slides)
Elian Martinez & Jorge Sanchez
Elian Martinez & Jorge Sanchez

4:20-4:50 pm: Session 4. PRIMES Circle

  • Sophia Heinrich & Lucy O'Brien, “Introductory Combinatorics and Its Applications” (mentor Lily Chen) (slides)
  • Lillian MacArthur, “Classifying Isometries” (mentor Honglin Zhu) (slides)
Veronika Moroz, Ada Tsui & Athena Wang
Veronika Moroz, Ada Tsui & Athena Wang

Sunday, May 14

1:00-1:55 pm: Session 5. Computer Science and Computational Biology

  • Anshul Rastogi, “Threshold-Based Inference of Dependencies in Distributed Systems” (mentor Prof. Raja Sambasivan, Tufts University) (slides)
  • Alicia Li & Mati Yablon, “Adversarial Attacks Against Online Learning Agents in MDPs” (mentor Mayuri Sridhar) (slides)
  • Steven Tan, “Improved Models for Somatic CAG Repeat Expansion in Huntington’s Disease” (mentors Bob Handsaker and Seva Kashin, Broad Institute) (slides)
PRIMES STEP students with Dr. Tanya Khovanova
PRIMES STEP students with Dr. Tanya Khovanova

2:00-2:40 pm: Session 6. PRIMES STEP

  • Jasper Caravan, Michael Han, Andrew Kalashnikov, Ella Li, Alexander Meng, Vaibhav Rastogi, Gordon Redwine, Lev Strougov, Angela Zhao (PRIMES STEP Junior group), “SOS” (mentor Dr. Tanya Khovanova) (slides)
  • Nikhil Byrapuram, Irene Choi, Adam Ge, Selena Ge, Sylvia Zia Lee, Evin Liang, Rajarshi Mandal, Aika Oki, Daniel Wu, Michael Yang (PRIMES STEP Senior group), “Cards, Magic Squares, and Codes” (mentor Dr. Tanya Khovanova)
Adrian Baez & Danielle Harrington
PRIMES STEP students with Dr. Tanya Khovanova

3:00-4:10 pm: Session 7. PRIMES Circle

  • Adrian Baez & Danielle Harrington, “Types of Normal-Play Games” (mentor Yuyuan Luo) (slides)
  • Ryan Chao & Yakir Propp, “Theoretical Machines” (mentor Zhao Yu Ma) (slides)
  • Luba Slesarenko & Chloe Zhong, “Introduction to Cryptography” (mentor Aparna Gupte) (slides)
Luba Slesarenko & Chloe Zhong
Luba Slesarenko & Chloe Zhong

4:30-5:30 pm: Session 8. PRIMES Circle

  • Emmanuel Mateo & Jonathan Nguyen, “Graph Theory” (mentor Lexy Zitzmann) (slides)
  • Niva Sethi, Tzofia Strey & Angela Zhao, “A Brief Survey of Key Topics in Group Theory” (mentor Kaili Liu) (slides)
  • Iris Liu, Bella Qu, & Niyathi Srinivasan - Applications of Probability” (mentor Lexi Spinetta) (slides)
PRIMES Circle students with Program Coordinator Marisa Gaetz
PRIMES Circle students with Program Coordinator Marisa Gaetz

December mini-conference

Tuesday, December 5

Mathematics Reading Groups

7:30 pm Welcoming Remarks

  • Prof. Pavel Etingof, PRIMES Chief Research Advisor
  • Dr. Slava Gerovitch, PRIMES Program Director
Evin Liang, Corey Zhao, and Derek Zhao
Evin Liang, Corey Zhao, and Derek Zhao
Eric Wang and Davido Zhang
Eric Wang and Davido Zhang

7:35 pm

  • Evin Liang, Corey Zhao, Derek Zhao, “Homology and Brouwer’s Fixed Point Theorem” (mentor Dr. Alex Pieloch) (slides)
  • Eric Wang, Davido Zhang, “Differential Geometry of Curves and Surfaces” (mentor Dr. Jingze Zhu) (slides)
  • Elena Baskakova, Sophia Hou, Daria Ivanova, “Counting the Involutions of the Symmetric Group” (mentor Serina Hu) (slides)
Elena Baskakova, Sophia Hou, and Daria Ivanova
Elena Baskakova, Sophia Hou, and Daria Ivanova
PRIMES Reading Group students and mentors
PRIMES Reading Group students and mentors

Tuesday, December 12

PRIMES Computer Science Circle

  • Maya Kalai, “Compression” (mentors Lalita Devadas and Surya Mathialagan) (slides)
  • Ella Kim, “Dual and Kernel Perceptron” (mentors Lalita Devadas and Surya Mathialagan) (slides)
  • Emmy Huang, “Valiant’s Theorem” (mentors Lalita Devadas and Surya Mathialagan) (slides)
  • Tiffany Ahn, “Word2Vec” (mentors Lalita Devadas and Surya Mathialagan) (slides)
  • Avril Cui, “Structure of a Neural Network” (mentors Lalita Devadas and Surya Mathialagan) (slides)

Contact

With questions, contact PRIMES Program Director Slava Gerovitch at