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Tenth Annual Fall Term PRIMES Conference, October 17-18, 2020

See also 2020 Spring Term conference and 2020 reading groups mini-conference

October conference abstracts booklet

Saturday, October 17


10:20 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

Quanlin (Andy) Chen

10:35-11:55 am: Session 1

Yunseo Choi, "Racial impact on infections and deaths due to COVID-19 in New York City" (mentor Prof. James Unwin, University of Illinois at Chicago) (slides)
William Li, "Lebesgue measure preserving Thompson's monoid" (mentor Prof. Sergiy Merenkov, CCNY – CUNY) (slides)
Joshua Guo, Karthik Seetharaman, and Ilaria Seidel, "Upho posets" (mentor Yibo Gao) (slides)
Quanlin (Andy) Chen, Tianze (Peter) Jiang, and Yuxiao (Tom) Wang, "On the Generational Behavior of Gaussian Binomial Coefficients at Root of Unity" (mentor Calder Morton-Ferguson) (slides)
Quanlin (Andy) Chen, "The Center of the $q$-Weyl Algebra over Rings with Torsion" (mentor Calder Morton-Ferguson) (slides)
Yuxiao (Tom) Wang, "Asymptotics for iterating the Lusztig-Vogan Bijection for $GL_n$ on Dominant Weights" (mentor Calder Morton-Ferguson) (slides)

Serena An

12:00-1:00 pm: Session 2

Alexander Zhang, "On quasisymmetric functions with two bordering variables" (mentor Andrey Khesin) (slides)
Holden Mui, "Generating symmetric functions of every arity" (mentor Dr. Zeb Brady) (slides)
Ankit Bisain, "The Bernardi formula for non-transitive deformations of the braid arrangement" (mentor Eric Hanson, Brandeis University) (slides)
William Shi, "Refinements of product formulas for volumes of flow polytopes" (mentor Prof. Alejandro Morales, UMass Amherst) (slides)

Vishaal Ram

1:15-1:45 pm: Virtual Chat with PRIMES Chief Research Advisor Prof. Pavel Etingof and Head Mentor Dr. Tanya Khovanova (for students and parents)

Fiona Abney-McPeek

2:00-2:50 pm: Session 3

Vishaal Ram, "Applications of a modified age-structured SIR model" (mentor Prof. Laura Schaposnik, University of Illinois at Chicago) (slides)
Srinath Mahankali, "Velocity inversion using the quadratic Wasserstein metric" (mentor Dr. Yunan Yang, Courant Institute, New York University) (slides)
Samuel Florin, Matthew Ho, and Rahul Thomas, "Group testing via zero-error channel capacity" (mentor Dr. Zilin Jiang) (slides)

Kenta Suzuki

3:00-4:00 pm: Session 4

Justin Wu, "Borel cohomology of $S^n$ mapping spaces" (mentor Ishan Levy) (slides)
Alvin Chen, "K-semistability of smooth toric Fano varieties" (mentor Kai Huang) (slides)
Honglin Zhu, "Irreducible characters for Verma modules for the orthosymplectic Lie superalgebra $\mathfrak{osp}(3|4)$" (mentor Arun Kannan) (slides)
Kenta Suzuki, "Value sharing of meromorphic functions" (mentor Prof. Michael Zieve, University of Michigan) (slides)

Jakin Ng

4:15-5:10 pm: Session 5

Brian Liu, "The geometry of harmonic maps in genus one" (mentor Prof. Dhruv Ranganathan, Cambridge, UK) (slides)
Fiona Abney-McPeek, Serena An, and Jakin Ng, "The Stembridge equality for skew dual stable Grothendieck polynomials" (mentor YiYu (Adela) Zhang) (slides)
Adithya Balachandran, Andrew Huang, and Simon Sun, "Product expansions of q-character polynomials" (mentor Dr. Nir Gadish) (slides)

Sunday, October 18

Computer Science

9:25 am: Welcoming Remarks

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

Beining (Cathy) Zhou

9:35-10:35 am: Session 6

Beining (Cathy) Zhou, "A High-order cumulant-based sparse ruler for improved lag generation" (mentor Hanshen Xiao) (slides)
Matthew Ding, "Relay protocol for approximate Byzantine consensus" (mentor Hanshen Xiao) (slides)
Linda Chen, "Reducing round complexity of Byzantine broadcast" (mentor Jun Wan) (slides)
Jason Yang, "On updating and querying submatrices" (mentor Jun Wan) (slides)

Kevin Edward Zhao

10:50-12:00 pm: Session 7

Benjamin Chen, "Towards practical ambiguity sets" (mentor Kyle Hogan) (slides)
Yavor Litchev and Abigail Thomas, "Hybrid privacy scheme" (mentor Yu Xia) (slides)
Ho Tin (Alex) Fan and Alvin Lu, "Parallel batch-dynamic subgraph maintenance" (mentors Prof. Julian Shun and Jessica Shi) (slides)
Kevin Edward Zhao, "Text is an image: Augmentation via embedding mixing" (mentors Prof. Anna Rumshisky and Vladislav Lialin, UMass Lowell) (slides)

Abigail Thomas

12:15-12:45 pm: Virtual Chat with PRIMES Computer Science Section Coordinator Prof. Srini Devadas and mentors (for students and parents)

Bioinformatics and Computational Biology

1:00-2:05 pm: Session 8

Anish Mudide, "SARS-CoV-2 drug discovery based on intrinsically disordered regions" (mentor Prof. Gil Alterovitz) (slides)
Varun Suraj, "Developing clinical decision support systems for cancer and COVID-19 precision medicine" (mentor Prof. Gil Alterovitz) (slides)
Daniel Xu, "Network based digital contact tracing and testing strategies for the COVID-19 pandemic" (mentor Dr. Jesse Geneson, Iowa State University) (slides)
Tanisha Saxena and Daniel Xu, "Graph alignment-based protein comparison" (mentor Younhun Kim) (slides)

Neil Chowdhury

2:20-3:20 pm: Session 9

Sarah Chen, "In silico prediction of retained intron-derived neoantigens in leukemia" (mentors Dr. Nicoletta Cieri, Dana-Farber Cancer Institute, and Kari Stromhaug) (slides)
Mikhail Alperovich, "Data driven quality control for single-cell RNA sequencing analysis" (mentor Dr. Ayshwarya Subramanian, Broad Institute)
Neil Chowdhury, "Modeling the effect of histone methylation on chromosomal organization in colon cancer cells" (mentor Dr. Maxim Imakaev)
Vishnu Emani, "Statistical ranking model for candidate genes in rare genetic disorders" (mentors Dr. Klaus Schmitz-Abe and Dr. Pankaj Agrawal, Boston Children's Hospital) (slides)

Jessica Zhang


3:35-4:45 pm: Session 10

Jessica Zhang, "Tight contact structures on the solid torus" (mentor Prof. Zhenkun Li, Stanford University) (slides)
William Qin, "Colored HOMFLY polynomials of genus-2 pretzel knots" (mentor Yakov Kononov, Columbia University) (slides)
Daniel Hong, Hyunwoo (David) Lee, and Alex Wei, "Optimal solutions and ranks in the max-cut SDP" (mentor Dr. Diego Cifuentes) (slides)
Richard Chen, Jason Tang, and Nathan Xiong, "Few distance sets in $\ell_p$ spaces and $\ell_p$ product spaces" (mentor Feng Gui) (slides)

Katherine Tung

5:00-6:15 pm: Session 11

Katherine Tung, "The Sperner property for 132-avoiding intervals in the weak order" (mentor Christian Gaetz) (slides)
Andrew Cai, "Ratios of Naruse-Newton coefficients obtained from descent polynomials" (mentor Pakawut Jiradilok) (slides)
Sean Li, "The Penney's Game with group action" (mentor Dr. Tanya Khovanova) (slides)
Tae Kyu Kim, "On generalized Carmichael numbers" (mentor Yongyi Chen) (slides)
William Wang, "Planar embeddings of periodic time-dependent graphs" (mentor Dr. Jesse Geneson, Iowa State University) (slides)

Tenth Annual Spring Term PRIMES Conference, June 6-7, 2020

Spring conference abstracts booklet

Saturday, June 6


10:00 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

10:15 am Session 1: PRIMES STEP

Isha Agarwal, Matvey Borodin, Aidan Duncan, Kaylee Ji, Shane Lee, Boyan Litchev, Anshul Rastogi, Garima Rastogi, and Andrew Zhao (PRIMES STEP Senior group), A Penney for our thoughts: A story of a series of games and an Avaricious Duo (mentor Dr. Tanya Khovanova) (slides)
Eric Chen, William Du, Tanmay Gupta, Alicia Li, Srikar Mallajosyula, Matthew Qian, Rohith Raghavan, Arkajyoti Sinha, Maya Smith, and Samuel Wang (PRIMES STEP Junior group), Hidden dimension of SET: The classification of magic SET squares (mentor Dr. Tanya Khovanova) (slides)

Hawa Hamidou Tabayi

11:00 am Session 2: PRIMES Circle

Peter Haine, PRIMES Circle Coordinator, Introduction
Anya Ditkoff and Arshia Verma, Random numbers (mentor Natalya Ter-Saakov)
Kaylee Chen, Hawa Hamidou Tabayi, and Alice Zhou, Game theory: A playful presentation (mentor Marisa Gaetz) (slides)
Diego González Gauss and Anthony Zhao, Dynamic programming and applications (mentor Jung Soo (Victor) Chu) (slides)

Kaylee Chen

Diego González Gauss

12:10 pm Session 3: PRIMES Circle

Joaquín Pischner Gutierrez and Jessica He, On group automorphisms (mentor Zhuofan Xie)
Zoe Shleifer and Elena Su, π-ish: Continued fractions (mentor Maya Sankar) (slides)
William Ayinon, How Knot Theory is important to DNA Biology (mentor Kenneth Cox) (slides)
Benjamin Ratin, Surfaces in Knot Theory (mentor Kenneth Cox) (slides)

William Ayinon

1:15 pm Session 4: PRIMES Circle

Akhil Kammila and Anshul Rastogi, Evolution of curves via curve shortening flow (mentor Bernardo Hernández Adame) (slides)
Divya Rajaraman and Henry Serrano-Wu, Puzzles in graph theory (mentor Agustin Garcia)
Minghan Sun, Andrew Weinfeld, and Christopher Zhu (PRIMES reading group), Homomorphisms of Graphs: Colorings, Cliques and Transitivity (mentor Younhun Kim) (slides)

Sunday, June 7

Computer Science and Computational Biology

9:00 am Welcoming Remarks

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

Sanath Govindarajan

9:15 am Session 5

Sanath Govindarajan, Integrating fully homomorphic encryption into the MLIR compiler framework (mentor William Moses) (slides)
Walden Yan, Improvements on description-based neural program synthesis models (mentor William Moses) (slides)
Neel Bhalla, Constructing workflow-centric traces in close to real time for the Hadoop file system (mentor Prof. Raja Sambasivan, Tufts University) (slides)

Neel Bhalla

10:20 am Session 6

Yuxuan (Jason) Chen, Real world application of event-based end to end autonomous driving (mentors Dr. Igor Gilitschenski and Alexander Amini) (slides)
Michael Gerovitch, Visualizing and enhancing environment-aware pedestrian trajectory prediction for autonomous driving (mentor Dr. Igor Gilitschenski) (slides)
Ethan Mendes, Towards a robust defense for imperceptible audio adversarial examples (mentor Kyle Hogan) (slides)

Yuxuan (Jason) Chen

11:25 am Session 7

Patrick Zhang, Privacy-preserving online advertising (mentor Sacha Servan-Schreiber)
Andrew Shen, Towards verifying application isolation for cryptocurrency hardware wallets (mentor Anish Athalye) (slides)
Alek Westover, The variable-processor cup game (mentor William Kuszmaul) (slides)

Ethan Mendes

12:30 pm Session 8

Jonathan Yin, Predicting receptor activity from structural features of chemical ligands (mentor Dr. Hattie Chung, Broad Institute) (slides)
Aditya Saligrama, Revisiting ensembles in an adversarial context: Improving natural accuracy (mentors Guillaume Leclerc and Prof. Alexander Madry) (slides)

From top left: Srini Devadas, Slava Gerovitch, Ethan Mendes, Alek Westover, Michael Gerovitch, Walden Yan, and Andrew Shen

Mathematics Reading Groups

Wednesday, December 9

Zoom webinar

6:00 pm Welcoming Remarks

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

6:10 pm

Anuj Sakarda, Jerry Tan, and Armaan Tipirneni, "Properties of elliptic curves" (mentor Kevin Chang) (slides)
Christina Li, Yuxin Xie, and William Yue, "Markov chains and card shuffling" (mentor Chun Hong Lo) (slides)
Sanjana Das, Espen Slettnes, and Sophie Zhu, "The Group of rational points on a cubic" (mentor Kaavya Valiveti) (slides)

7:20 pm

Lucy Cai and Zheheng Xiao, "Induced representations of finite groups" (mentor Dr. Alexander Vitanov) (slides)
Kenji Nakagawa, Rishi Verma, and Daniel Xu, "Walks on Young's lattice" (mentor Yan Sheng Ang) (slides)
Ishita Goluguri, Toyesh Jayaswal, and Andrew Lee, "A PRIMES exposition of the Prime Number Theorem" (mentor Chengyang Shao) (slides)


With questions, contact PRIMES Program Director Dr. Slava Gerovitch at