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Preprints

• Polynomial configurations in dense subsets of the prime lattice (with Ákos Magyar, Giorgis Petridis, and Janós Pintz) – Submitted, 2025
• Polynomial progressions in the generalized twin primes (with Nagendar Reddy Ponagandla) – Submitted, 2025

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Publications

• The sum-product problem for small sets (with Ginny Ray Clevenger, Haley Havard, Patch Heard, Alex Rice, and Brittany Wilson), Involve, vol. 18 (2025), no. 1, 165–180.
• Computations and observations on congruence covering systems (with Raj Agrawal, Prarthana Bhatia, Kratik Gupta, Powers Lamb, Alex Rice, and Christine Rose Ward), INTEGERS Volume 24A (2024): Proceedings of the Integers 2023 Conference, Paper A1.
• The pigeonhole principle and multicolor Ramsey numbers (with Vishal Balaji, Powers Lamb, Dhruv Patel, Alex Rice, Sakshi Singh, Christine Rose Ward), Involve vol. 15 (2022), no. 5, 857–884.
• Schur’s theorem in integer lattices (with Vishal Balaji and Alex Rice), INTEGERS vol. 22 (2022), Paper A62.

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Exposition

• New and old results in Ramsey theory and additive combinatorics (Honors Thesis)