Emiliano Alvarez Gil Leyva

emialvarezg [at] ciencias.unam.mx

I'm a Ph.D. student at Instituto de Matemáticas, UNAM, in Mexico City. My advisor is Gerónimo Uribe Bravo. Previously, I obtained my M.Sc. in Mathematics at Instituto de Matemáticas and my B.Sc. in Applied Mathematics at Facultad de Ciencias, UNAM, both under the supervision of Saraí Hernández-Torres. I'm interested in discrete probability models and their scaling limits.

Simulations

Loop erased random walk 2D/3D / 3D interactive version

Schramm-Loewner evolution

Brownian motion local time surface / interactive version

2D random walk (interactive version)

Uniform Spanning Tree of 3D lattice (interactive version)

Uniform Labeled Tree

Brownian Motion

Percolation on 2D lattice

Uniform Spanning Tree of 2D lattice

Events

I'm one of the organizers of:

Tardeada Aleatoria (Student Probability Seminar)
Instituto de Matemáticas, UNAM
Together with Saraí Hernández Torres and Itzel Abigail Ramírez González

Seminario de Becarios (Student Seminar)
Instituto de Matemáticas, UNAM
Together with Francisco Alvarado, Lorenzo Alvarado and Bruno Amezcua

Teaching

Teaching assistant, Facultad de Ciencias, UNAM:

Seminario de Probabilidad: Probabilidad en Estructuras Discretas (2027-I)
Procesos Estocásticos I (2023-II, 2024-I, 2026-II)
Probabilidad I (2025-I)
Análisis Matemático Aplicado (2024-II)

Talks

Simulación de la evolución de Schramm-Loewner
Seminario de Becarios, Instituto de Matemáticas, UNAM
May 2025
Video

Thesis - Simulación de la evolución de Schramm-Loewner.

Photos