Plinio Guillel Pino Murillo
Plinio Guillel Pino Murillo
I am mathematician, currently working as an Assistant Professor at the Instituto de Matemática e Estatística at the Universidade Federal Fluminense (UFF) in Brazil. My research interests lie in connections between Geometry and Number Theory. More precisely, I concentrate my investigations on the geometry of arithmetic locally symmetric spaces.
Publications
Dória, C., Freire, E., Murillo, P. Hyperbolic manifolds with a large number of systoles. (2023). Transactions of the American Mathematical Society, DOI https://doi.org/10.1090/tran/9049 [Journal]
Belolipetsky, M., Lalín, M., Murillo, P. G., & Thompson, L. (2021). Counting Salem numbers of arithmetic hyperbolic 3-orbifolds. Bulletin of the Brazilian Mathematical Society, New Series, 1-17. DOI 10.1007/s00574-021-00270-9 [Journal].
Emery. V., Kim, I. Murillo, P. G. (2022). On the systole growth in congruence quaternionic hyperbolic manifolds. Bulletin of the London Mathematical Society. DOI 10.1112/blms.12627. [Journal].
Dória, C., Murillo, P. (2021). Hyperbolic 3-manifolds with large kissing number. Proceedings of the American Mathematical Society, 149(11), 4595-4607. DOI doi.org/10.1090/proc/15575 [Journal].
Murillo, Plinio. Systole of congruence coverings of arithmetic hyperbolic manifolds. Groups Geometry and Dynamics, v. 13, p. 1083-1102, 2019. DOI 10.4171/GGD/515 [Journal].
Murillo, Plinio. On growth of systole along congruence coverings of Hilbert modular varieties. Algebraic and Geometric Topology, v. 17, p. 2753-2762, 2017. DOI 10.2140/agt.2017.17.2753 [Journal].
Preprints
Chu, M., Murillo, P. (2025). Salem numbers and commensurability classes of arithmetic hyperbolic manifolds. [arxiv].
Chu, M., Murillo, P., Romero, O., Thompson, L. (2025) Counting Salem numbers arising from arithmetic hyperbolic orbifolds. [arxiv].
Thesis
You can find my PhD Thesis here.
Expository articles
Murillo, Plinio. On Systole, Kissing Number and Volume of Arithmetic Manifolds. [arxiv]
Universidade Federal Fluminense
Instituto de Matemática e Estatística.
Rua Professor Marcos Waldemar de Freitas Reis, s/n, Campus do Gragoatá, São Domingos, Niterói, RJ.
24210-201, Brazil.
Office: Bloco G, Andar 4, Sala 48. Campus Gragoatá.
E-mail: pliniom [at] id [dot] uff [dot] br
My previous website is here