ementas

Syllabi (ementas) of courses in DMAT PUC-Rio:

Courses at PUC-Rio:

• 25.1: Minimal surfaces in R^3
• 25.1: Linear Algebra with MATLAB (“Álgebra linear 2”, a service course for engineers)
• 24.2: Geometry of algebraic varieties (with Lucas Castello Branco)
• 24.1: Complex geometry
• 24.1: Linear algebra / Álgebra linear
• 24.0: Gauge theory and moduli spaces (by Lucas Castello Branco)
• 24.0: Quantum topology
• 23.2: Riemann surfaces II / Superfícies de Riemann II
• 23.2: Representation theory / Teoria da representação
• 23.1: Riemann surfaces I / Superfícies de Riemann I
• 23.1: Linear algebra / Álgebra linear
• 23.0: Modular forms / Fórmas modulares
• 22.2: Algebraic geometry and statistical learning theory
• 22.2: Complex analysis / Análise complexa
• 22.1: Introduction to topology / Introdução à topologia
• 22.1: Algebraic structures I / Estruturas algébricas I
• 21.2: Algebraic structures II / Estruturas algébricas II
• 21.2: Logics, proofs and LEAN / Lógica, provas e LEAN
• 21.1: Geometry of robotics
• 21.1: Algebraic structures I / Estruturas algébricas I
• 20.2: Algebraic geometry / Geometria algébrica
• 20.2 Algebraic structures II / Estruturas algébricas II
• 20.1: Commutative algebra
• 20.1 Algebraic structures I / Estruturas algébricas I
• 19.2: Topics in geometry

Some courses before PUC-Rio:

• 16.2: Symmetries and moduli spaces for Master Class in Geometry, Topology and Physics in University of Geneva
• 16.1: Algebraic surfaces for HSE University
• 15.2: Proofs of irrationality for Independent University of Moscow
• 14.1: Projective geometry for Moscow Institute of Physics and Technology
• 17.2: Algebraic geometry for HSE University, it had slightly different syllabus from 2020.2@PUC-Rio

Syllabi for other potential courses for PUC-Rio:

• [eag] Elementary algebraic geometry
• [eat] Elementary applied topology
• [cat] Basic category theory / Teoria de categorias básica