Allen Lin


Writing


2026
The Zero-Free Region of the Riemann Zeta Function and Beurling Zeta Functions
Final paper for 18.156: Differential Analysis II, Spring 2026
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2025
Dependent Randomized Rounding on Bipartite Graphs
Final paper for 6.522: Randomized Algorithms, Fall 2025
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2025
Knots and Legendre Symbols
Final paper for 18.904: Seminar in Topology, Spring 2025
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2025
SolarNet: A Proposed Reliable Extraterrestial Communications System
Final paper for 6.180: Computer Systems Engineering, Spring 2025
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2024
Results on Probabilistically Checkable Proofs of Proximity
Final paper for 18.405: Advanced Complexity Theory, Spring 2024
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2024
On the Circle Method
Final paper for 18.784: Seminar in Number Theory, Spring 2024
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2022
Values of Dirichlet Series
Final paper for MATH 498: Senior Seminar, Spring 2022
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2021
Properties of Pólya’s Circular Symmetrization
Final paper for the 38th Annual Research Science Institute, Summer 2021
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Notes

2025
Kirby Calculus
As part of a lecture given at 18.904: Seminar in Topology
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2025
Prime Factorization of Knots
As part of a lecture given at 18.904: Seminar in Topology
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2024
Classification of Quadratic Forms Over \(\mathbb{Q}_p\)
As part of a lecture given at 18.704: Seminar in Number Theory
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2024
Integral Quadratic Forms With Determinant \(\pm1\): The Definite Case
As part of a lecture given at 18.704: Seminar in Number Theory
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2024
The Quadratic Reciprocity Law in Finite Fields
As part of a lecture given at 18.704: Seminar in Number Theory
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Side Quests

Sep 2025–Feb 2026
Next Exec
Next House, Massachusetts Institute of Technology
Treasurer

I managed the finances of Next House as part of the Treasurer position of Next Exec, the student government executive committee of Next House. I prepared a budget, processed reimbursements, tracked expenses, and monitored the balances of the main and reserve accounts. I allocated funds to student organizations based in Next House, maintained accurate financial records, and coordinated with the Student Organizations, Leadership, and Engagement Office (SOLE) to manage funding.

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Mar 2025–Nov 2025
Next Haunt
Next House, Massachusetts Institute of Technology
Assistant Producer

I serve as an advisor to the producers of Next Haunt in planning and executing a large-scale haunted house escape room. I provided guidance on event design, logistics, and day-to-day operations. I also secured funding through grants such as the Council for the Arts at MIT grant (CAMIT), the de Florez Fund for Humor, and funding from Dormcon. A total of 73 teams (\(\approx\) 438 students, staff, and faculty) attempted to escape the house, with a win rate of 16.44% and a record time of 14:51 out of 20 minutes!

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Mar 2024–Nov 2024
Next Haunt
Next House, Massachusetts Institute of Technology
Assistant Producer

I serve as an advisor to the producers of Next Haunt in planning and executing a large-scale haunted house. I provided guidance on event design, logistics, and day-to-day operations. I also secured funding through grants such as the Council for the Arts at MIT grant (CAMIT), the de Florez Fund for Humor, and funding from Dormcon.

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Feb 2024–Mar 2024
Spark 2024
Educational Studies Program, Massachusetts Institute of Technology
Subdirector

I organized program logistics and coordinated teacher arrivals and checkins for the program.

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Feb 2024–Apr 2024
Spring HSSP 2024
Educational Studies Program, Massachusetts Institute of Technology
Subdirector

I organized program logistics and fostered a lively and welcoming student lounge for students by organizing games and activities throughout the six-week program.

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Jul 2023–Nov 2023
Splash 2023
Educational Studies Program, Massachusetts Institute of Technology
Subdirector

I organized program logistics, communicated with teachers and volunteers regarding documents and background checks, and coordinated with the Emergency Management Team at the Massachusetts Institute of Technology to ensure compliance with the Institute's policy regarding minors.

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Mar 2023–Nov 2023
Next Haunt
Next House, Massachusetts Institute of Technology
Producer

I directed a team of undergraduates in the design and construction of a large-scale two-floor haunted house inside of Next House. I coordinated the Build Team, the Puzzle Team, the Art Team, and the Run Crew in the collaborative design, theme, construction, and safety of the house. I oversaw day-to-day operations and managed project timelines, resources, and interteam coordination. A total of 70 teams (\(\approx\) 420 students, staff, and faculty) attempted to escape the house, with a win rate of 18.60% and a record time of 18:31 out of 25 minutes!

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Nov 2023
Integration Bee Committee
Harvard-MIT Math Tournament, Harvard University and Massachusetts Institute of Technology
Committee Member

I organized the November 2023 Integration Bee of HMMT by writing and selecting challenging integration problems for the qualifier and bee as well as coordinating competition logistics.

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May 2023–Aug 2023
Summer HSSP 2023
Educational Studies Program, Massachusetts Institute of Technology
Director

I directed a six-week summer program for middle and high school students to take classes on academic and non-academic subjects at the Massachusetts Institute of Technology. I led a team of undergraduates in organizing the logistics, recruiting teachers, coordinating with the Student Organizations, Leadership, and Engagement Office (SOLE), and overseeing day-to-day operations.

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Sep 2022 –May 2023
Problem-Writing Committee
Harvard-MIT Math Tournament, Harvard University and Massachusetts Institute of Technology
Committee Member

I developed original mathematical problems that challenge problem-solving skills and encourage creative mathematical reasoning.

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Feb 2023
Integration Bee Committee
Harvard-MIT Math Tournament, Harvard University and Massachusetts Institute of Technology
Committee Member

I organized the February 2023 Integration Bee of HMMT by writing and selecting challenging integration problems for the qualifier and bee as well as coordinating competition logistics.

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Nov 2022
Splash 2022
Educational Studies Program, Massachusetts Institute of Technology
Instructor

I designed and taught an original mathematics lecture for high school students covering topics in number theory and infinite series, introducing highly-motivated high school students to proof-based mathematics beyond the standard high school curriculum.

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Oct 2022 –Nov 2022
Next Haunt
Next House, Massachusetts Institute of Technology
Run Crew

As an actor, I greeted teams before they participate in Next Haunt. I introduced the lore of the house, the theme, explained rules and safety procedures.

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