Published/Accepted papers

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1. A Classification of Genus 0 Modular Curves with Rational Points; arxiv link, journal link; Mathematics of Computation Vol. 93 (2024), 1859-1902, https://doi.org/10.1090/mcom/3907.

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2. Serre Curves Relative to Obstructions Modulo 2, joint with Jacob Mayle; arxiv link, journal link; LuCaNT: LMFDB, Computation, and Number Theory, Contemp. Math. Vol. 796 (2024), 103–128.

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3. Possible torsion of elliptic curves over cyclic cubic fields of conductor between 1 to 100, joint with G Yuvan Shankar; (pdf link); Accepted in Involve, a Journal of Mathematics (2024).

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4. On possibilities of 3-adic Galois images associated to isogeny-torsion graphs; arxiv link ; Accepted in International Journal of Number Theory (2025) .

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Preprints

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1. Genus 0 Modular Curves of prime power level with a point defined over number fields other than Q; arxiv link

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2. On Possible Genus 0 adelic Galois Images of non CM Elliptic Curves over Q; submitted, arxiv link

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3. Modular curves of prime-power level with infinitely many quadratic points, joint with Michael Cerchia; submitted, arxiv link

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​4. The possible adelic indices for elliptic curves admitting a rational cyclic isogeny, joint with Kate Finnerty, Tyler Genao and Jacob Mayle; arxiv link

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