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 6.180: Computer Systems Engineering, 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
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Mar 2025–Nov 2025
Next Haunt
Next House, Massachusetts Institute of Technology
Assistant Producer
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Mar 2024–Nov 2024
Next Haunt
Next House, Massachusetts Institute of Technology
Assistant Producer
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Feb 2024–Mar 2024
Spark! 2024
Educational Studies Program, Massachusetts Institute of Technology
Subdirector
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Feb 2024–Apr 2024
Spring HSSP 2024
Educational Studies Program, Massachusetts Institute of Technology
Subdirector
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Jul 2023–Nov 2023
Splash! 2023
Educational Studies Program, Massachusetts Institute of Technology
Subdirector
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Mar 2023–Nov 2023
Next Haunt
Next House, Massachusetts Institute of Technology
Producer
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May 2023–Aug 2023
Summer HSSP 2023
Educational Studies Program, Massachusetts Institute of Technology
Director
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Nov 2022
Splash! 2022
Educational Studies Program, Massachusetts Institute of Technology
Instructor
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Oct 2022 –Nov 2022
Next Haunt
Next House, Massachusetts Institute of Technology
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