Teaching Philosophy

Since 2021, I have served as a Teaching Assistant at the School of Sciences (UNAM), where I have gained extensive experience in classroom instruction (averaging 6 hours per week). My role goes beyond grading; I actively design didactic materials in $\LaTeX$ (guides, problem sets, and exams) and provide personalized mentoring to ensure student success.

My teaching approach prioritizes intuition before formalism. I strive to present abstract ideas through concrete examples and design evaluations that foster critical thinking rather than just measuring memory.

A central motivation in my career is to expand the study and research of Number Theory in Mexico. Since this field is currently underrepresented in the country compared to other mathematical areas, I am enthusiastic about training the next generation of students. My goal is to develop myself as a top-tier researcher and professor to strengthen this line of investigation nationwide.

Lorenzo en clase

Courses Taught (UNAM)

The courses I have taught at the School of Sciences, UNAM since 2021.

Calculus and Analysis

courseSemesters
Calculus I (Single-variable differential calculus) 2021-1, 2024-1, 2025-1, 2026-1
Calculus II (Single-variable integral calculus) 2021-2, 2022-1, 2024-2
Calculus III (Multivariable differential calculus) 2022-2, 2025-1
Calculus IV (Multivariable integral calculus) 2022-2, 2023-1, 2025-1, 2025-2

Algebra and Number Theory

courseSemesters
Advanced Algebra I 2023-1, 2024-1
Advanced Algebra II 2024-2
Number Theory I 2023-2, 2026-1

Complex Analysis

courseSemesters
Complex Analysis I 2024-4, 2025-1
Complex Analysis II 2023-2