See also 2023 Spring Term conference and 2023 December mini-conference

Room 4-370 , MIT

Open to the public

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)

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)

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)

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

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)

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)

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)

Computational and Physical Biology and Bioinformatics

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)

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 (mentors Prof. Gil Alterovitz and Ning Xie, Harvard Medical School) (slides)
• Rianna Santra, Transcriptomic Analysis of the Dengue Virus using Feature Selection and Random Forest (mentor Prof. Gil Alterovitz, Harvard Medical School)

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

Saturday, May 13

1:15 pm: Welcoming Remarks

• Prof. Pavel Etingof, PRIMES Chief Research Advisor
• Dr. Slava Gerovitch, PRIMES Program Director

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)

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)

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)

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)

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)

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)

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)

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)

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

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)

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