Levia M.
USD $15/hr
University Mathematics TA | Expert in Abstract Algebra, Analysis & Proof Structuring
Informations du tuteur
À propos
Hi! I am a pure mathematics researcher and Teaching Assistant at the National Autonomous University of Mexico (UNAM), specializing in Algebraic Geometry and Mathematical Analysis.
I focus on helping undergraduate and early graduate students master advanced topics like Abstract Algebra, Linear Algebra, and Real/Complex Analysis. If you are struggling with structuring rigorous mathematical proofs, I can help you decode the logic. My teaching style is clean and intuitive; for example, I heavily utilize linear algebra tools to break down complex algebraic structures (like groups, rings, and modules) rather than relying on convoluted field theory jargon whenever possible.
Whether you need help prepping for a brutal final exam, tackling heavy assignment sets, or simply want to learn how to write elegant proofs, I will guide you step-by-step.
Emplacement
Nezahualcóyotl, mexico, Estado de México, México
Langue
English, Español
Fuseau horaire
America/Cancun
Sujets
Niveaux
College/University
Professional
Éducation
UNAM
2020 - 2026B.Sc. in Mathematics, Algebraic geometry
Graduated top of the class with a 9.73/10 GPA (100% of credits completed).
Teaching Experience: Active Teaching Assistant for university-level Algebraic Geometry and Mathematical Analysis.
Research Focus: Undergraduate thesis centered on non-Archimedean dynamics, Newton polygons, and applying advanced linear algebra to pure mathematical structures.
Expertise: Trained to break down highly abstract, proof-heavy theorems into clean, logical, and digestible steps for students.
Expérience professionnelle
National Autonomous University of Mexico (UNAM)
January 2024 - June 2026University Teaching Assistant (Pure Mathematics)
Delivered supplementary lectures, designed advanced exercise sets, and graded rigorous proofs for undergraduate mathematics students at one of Latin America's top universities.
Imparted the following institutional courses:
Advanced Algebra & Geometry: Algebraic Geometry I and II, Modern Algebra II and III, and Linear Algebra II.
Analysis & Calculus: Mathematical Analysis I, Complex Variable II (Complex Analysis), Advanced Multivariable Calculus (Calculus III and IV), and Differential Equations I.
Primary Focus: Mentored students in developing analytical maturity, breaking down highly abstract theorems, and structuring logical, clean proofs without relying on convoluted field theory jargon.