Real part of cycle integrals and conjectures of Kaneko. Joint with P. Bengoechea and Ö. Imamoglu. Accepted for publication in the Proceedings of the 17th MSJ-SI conference on Modular forms and Multiple Zeta values. (arXiv)
A Lyapunov exponent attached to modular functions. Joint with P. Bengoechea and Ö. Imamoglu. Accepted for publication in the Journal of the London Mathematical Society. (arXiv)
Spectral theory and formulas of Katok-Sarnak type. Lecture notes from Building Bridges: 4th EU/US Summer School on Automorphic Forms and Related Topics. Joint with Ö. Imamoglu and Á. Tóth. (notes)
Counting rational points on Hirzebruch-Kleinschmidt varieties over global function fields. Joint with T. Martínez and P. Montero. Accepted for publication in Journal of Number Theory. (arXiv)
Counting rational points on Hirzebruch-Kleinschmidt varieties over number fields. Joint with T. Martínez and P. Montero. Accepted for publication in Mathematische Annalen. (arXiv)
Twisted traces of modular functions on hyperbolic 3-space. Joint with Ö. Imamoglu, A.-M. von Pippich and M. Schwagenscheidt. Journal of Number Theory. Vol. 279 (2026), pp. 154-169. DOI 10.1016/j.jnt.2025.06.010 (arXiv)
Special values of Green's functions on hyperbolic 3-space. Joint with Ö. Imamoglu, A.-M. von Pippich and M. Schwagenscheidt. Duke Math. J. 174(15): 3245-3316. DOI: 10.1215/00127094-2025-0019 (arXiv)
There are at most finitely many singular moduli that are S-units. Joint with R. Menares and J. Rivera-Letelier. Compositio Mathematica. 2024; 160(4): 732-770. DOI 10.1112/S0010437X23007704 (arXiv)
p-Adic distribution of CM points and Hecke orbits. II: Linnik equidistribution on the supersingular locus. Joint with R. Menares and J. Rivera-Letelier. (arXiv)
On two notions of expansiveness for continuous semiflows. Joint with N. Jaque. J. Math. Anal. Appl. 515 (2022). DOI 10.1016/j.jmaa.2022.126405 (arXiv)
Solutions of equations involving the modular j function. Joint with S. Eterović. Trans. of the AMS. Vol. 374, no. 6 (2021), pp. 3971-3998. DOI 10.1090/tran/8244 (arXiv)
p-Adic distribution of CM points and Hecke orbits. I: Convergence towards the Gauss point. Joint with R. Menares and J. Rivera-Letelier. Algebra & Number Theory. Vol. 14 (2020), No. 5, 1239-1290. DOI 10.2140/ant.2020.14.1239 (arXiv)
Mock modular forms whose shadows are Eisenstein series of integral weight. Joint with A.-M. von Pippich. Mathematical Research Letters. Vol. 27 (2020), No. 2, pp. 435-463. DOI 10.4310/MRL.2020.v27.n2.a5 (arXiv)
A Jensen-Rohrlich type formula for the hyperbolic 3-space. Joint with Ö. Imamoglu, A.-M. von Pippich and Á. Tóth. Trans. of the AMS. Vol. 371 no. 9 (2019), pp. 6421-6446. DOI 10.1090/tran/7484 (arXiv)
A converse theorem for Jacobi–Maass forms and applications. Journal of Number Theory. 169 (2016), pp. 41-61. DOI 10.1016/j.jnt.2016.05.005
The adjoint of some linear maps constructed with the Rankin-Cohen brackets. Ramanujan Journal. 36 (2015), pp. 529-536. DOI 10.1007/s11139-013-9536-5
2025-2029 Chilean FONDECYT Regular 2025. Project N° 1250734 (PI).
2024-2025 Swiss National Science Foundation (SNSF) Spark Project CRSK-2_220746 (PI).
2022-2025 Chilean FONDECYT Iniciación en Investigación 2022. Project N° 11220567 (PI).
2021 VRIEA-PUCV DI Emergente 2021. Project N° 039.344/2021 (PI).
2020-2022 Chilean CONICYT Concurso Nacional Atracción de Capital Humano Avanzado del Extranjero - MEC 2019. Project N° MEC80190035.
2019-2021 Chilean FONDECYT Postdoctorado Nacional 2019. Project N° 3190086 (PI).
2018 Royal Swedish Academy of Sciences, Stiftelsen GS Magnusons fond. Project N° MG2018-0039 (PI).
2017 Royal Swedish Academy of Sciences, Stiftelsen GS Magnusons fond. Project N° MG2017-0030 (PI).