Publications
Articles, theses, and works from the group.
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- On rank 2 hypergeometric motivesPreprint, arXiv:2603.179782026Article
- Residual paramodularity of a certain Calabi-Yau threefoldRes. Number Theory 12, No. 1, Paper No. 1, 19 p. (2026)2026Article
- Repulsion of zeros close to s=1/2 for L-functionsJournal of Experimental Mathematics2026Article
- Teoría de los números p-ádicos : valuaciones, Qp y sus extensionesUdelaR, FC.2025Advisor: Gustavo RamaBachelor's Monograph
- Las Conjeturas de WeilUdelaR, FC.2025Advisor: Gonzalo TornaríaBachelor's Monograph
- Interpolation of generalized Heegner classes along quaternionic Coleman familiesRendiconti del Seminario Matematico della Università di Padova, 2025.2025Article
- El Teorema de Gross-ZagierUdelaR, FC.2025Advisor: Gonzalo TornaríaMaster's Thesis
- Representaciones de enteros por formas cuadráticasUdelaR, FC.2024Advisor: Gustavo RamaBachelor's Monograph
- Quinary forms and paramodular formsMath. Comput. 93, No. 348, 1805-1858 (2024)2024Article
- Paramodularidad de superficies abelianasUdelaR, FC.2024Advisor: Gonzalo TornaríaMaster's Thesis
- La conjetura de Böcherer paramodularUdelaR, FC.2024Advisor: Gonzalo TornaríaMaster's Thesis
- Explicit families of congruences for the overpartition functionRamanujan J. 65, No. 4, 1631-1649 (2024)2024Article
- El Teorema de MazurUdelaR, FC.2024Advisor: Gonzalo TornaríaMaster's Thesis
- A database of paramodular forms from quinary orthogonal modular formsContemporary Mathematics, 796, 243–2592024Article
- El problema del número de clases de Gauss: la solución de Goldfeld-OesterléUdelaR, FC.2023Advisor: Gonzalo TornaríaBachelor's Monograph
- Efficient computation of the overpartition function and applicationsJ. Math. Anal. Appl. 528, No. 1, Article ID 127472, 22 p. (2023)2023Article
- Curvas elípticas, formas modulares y el problema de los números congruentesUdelaR, FC.2023Advisor: Gustavo RamaBachelor's Monograph
- Teoría de cuerpo de clases y sus aplicacionesUdelaR, FC.2022Advisor: Gonzalo TornaríaBachelor's Monograph
- Formas modularesUdelaR, FC.2022Advisor: Gonzalo TornaríaBachelor's Monograph
- Effective construction of Hilbert modular forms of half-integral weightMath. Z. 302, No. 4, 2513-2543 (2022)2022Article
- Cálculo de formas de HilbertUBA, Facultad de Ciencias Exactas2021Advisor: Ariel PacettiBachelor's Monograph
- On 2-Selmer groups and quadratic twists of elliptic curvesMath. Res. Lett. 28, No. 6, 1633-1659 (2021)2021Article
- Congruences satisfied by eta-quotientsProc. Am. Math. Soc. 149, No. 3, 1039-1051 (2021)2021Article
- An explicit Waldspurger formula for Hilbert modular forms. IIRamanujan J. 55, No. 3, 1189-1212 (2021)2021Article
- Conjetura de Serre y curvas elípticas en cuerpos cuadráticos realesUdelaR, FC.2020Advisor: Gonzalo TornaríaMaster's Thesis
- Computation of paramodular formsANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 4, 353-370 (2020).2020Article
- Cálculo de formas paramodulares utilizando formas modulares ortogonales de O(5)UdelaR, FC.2020Advisor: Gonzalo TornaríaPhD Thesis
- On the paramodularity of typical abelian surfacesAlgebra Number Theory 13, No. 5, 1145-1195 (2019)2019Article
- Relación de Eichler-Shimura y recíproco del teorema de modularidadUdelaR, FC.2018Advisors: Gustavo Rama, Gonzalo TornaríaBachelor's Monograph
- Computing Jacobi formsLMS J. Comput. Math. 19A, Spec. Iss., 205-2192016Article
- Formulas for central critical values of twisted L-functions attached to paramodular formsMath. Comp. 85, No. 298, 907-9292016Article
- Shimura correspondence for level p² and the central values of L-series. II.Int. J. Number Theory 10, No. 7, 1595-16352014Article
- Computing ideal classes representatives in quaternion algebrasMath. Comput. 83, No. 289, 2479-25072014Article
- Nonvanishing of twists of L-functions attached to Hilbert modular formsLMS J. Comput. Math. 17A, Spec. Iss., 330-3482014Article
- Módulo de Brandt GeneralizadoUdelaR, FC.2014Advisor: Gonzalo TornaríaMaster's Thesis
- Ternary Quadratic Forms (paquete de software para Sage)https://trac.sagemath.org/ticket/118352013Software / tool
- Primos de la forma x² + ny²UdelaR, FC.2013Advisor: Gonzalo TornaríaBachelor's Monograph
- Criterios de establecimiento de claves para una comunicación punto a punto: modelos de uso y esquemas de realizaciónUdelaR, FI.2013Advisor: Gonzalo TornaríaMaster's Thesis
- Siegel modular forms (paquete de software para Sage)https://trac.sagemath.org/ticket/87012012Software / tool
- La fórmula de Gross sobre alturas y valores especiales de L-seriesUdelaR, FC.2012Advisor: Gonzalo TornaríaMaster's Thesis
- Explicit computations of Siegel modular forms of degree twohttp://arxiv.org/abs/1205.62552012Article
- Criptografía de curvas elípticas y logaritmo discreto: implementación de autoreducibilidad aleatoriaUdelaR, FC.2012Advisor: Gonzalo TornaríaMaster's Thesis
- A Böcherer-Type Conjecture for Paramodular FormsInternational Journal of Number Theory 7, no. 5 (2011) 1395-14112011Article
- Teorema de Hasse y conjetura de Sato-TateUdelaR, FC.2010Advisor: Gonzalo TornaríaBachelor's Monograph
- Números CongruentesUdelaR, FC.2010Advisor: Gonzalo TornaríaBachelor's Monograph
- Criptografía en curvas de Pell y generalizacionesUdelaR, FC.2010Advisors: Gonzalo Tornaría, Nathan RyanBachelor's Monograph
- Congruent number theta coefficients to 10¹²Algorithmic Number Theory, Proceedings of the 9th International Symposium (ANTS IX), Lecture Notes in Computer Science, 6197 (202010Article
- Quadratic Forms (paquete de software para Sage)Incluido en Sage (http://www.sagemath.org/)2009Software / tool
- Stark-Heegner points and the Shimura correspondenceCompositio Mathematica 144, no. 5 (2008), 1155-11752008Article
- Computing central values of twisted L-series: the case of composite levelsExperimental Mathematics 17, no. 4 (2008), 459-4712008Article
- Álgebra geométricaUdelaR, FC.2008Advisor: Gonzalo TornaríaBachelor's Monograph
- Computation of central value of quadratic twists of modular L-functionsLondon Mathematical Society Lecture Note Series 341, 273-2882007Article
- Introducción a las curvas elípticasUdelaR, FC.2007Advisor: Gonzalo TornaríaBachelor's Monograph