Research

Articles

• Twisted traces of modular functions on hyperbolic 3-space.

Joint with Ö. Imamoglu, A.-M. von Pippich and M. Schwagenscheidt. Submitted. (arXiv)

• Special values of Green's functions on hyperbolic 3-space.

Joint with Ö. Imamoglu, A.-M. von Pippich and M. Schwagenscheidt. Submitted. (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. Submitted. (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

Grants

• 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).