João Paixão

Computer Science Deptartment

Institute of Computer Science

Institute of Mathematics

UFRJ

News

June 25th 2021 Algumas ideias da Ciência da Computação para o ensino da Matemática. Matemática na Universidade (in portuguese)

May 26th-27th 2021 Graphical Linear Algebra Mincourse (in portuguese) Simpósio de Matemática da Região Fluminense (SIMMA) - First class - Second class

May 24th 2021 Neural Network Seminar at UFRJ. Topology in Data Science (in portuguese)

February 15th 2021 Algorithms in Graphical Linear Algebra Communications in Numerical Linear Algebra

February 10th 2021 Álgebra Linear com Diagramas Encontro Acadêmico de Modelagem Computacional

January 2021 Graphical Linear Algebra Minicourse (in portuguese)

November 2020 Speaker at SBMF 2020 (Video) (Best Paper Award and Best Presentation Award)

January 2020 Visitor at TalTech (Estonia)

September 2019 Computer Graphics Seminar at IMPA. Interpretations and Visualizations of Neural Networks (in portuguese)

November 2018 Invited Speaker at Einstein Workshop Geometric and Topological Combinatorics

Publications

Google Scholar

Notes

About me

Interests

  • Computational Geometry

  • Computational Topology

  • Discrete Morse Theory

  • Linear Algebra and Numerical Methods Education

  • Graph Theory

  • Strings Diagrams

  • Graphical Linear Algebra

Education

PhD in Applied Mathematics, 2014
Pontifícia Universidade Católica do Rio de Janeiro

Masters in Applied Mathematics, 2010
Pontifícia Universidade Católica do Rio de Janeiro

BSc in Mathematics, 2007
Virginia Tech

Contact

jpaixao@dcc.ufrj.br

Links

Graphical Linear Algebra Blog

3Blue1Brown


Students

Lucas Rufino (2021). Calculational proofs in quantales and Normal Forms in Graphical Linear Algebra Undergraduate Student (PIBIC). UFRJ

Gabriel Ferreira (2020). Álgebra Linear com Diagramas. Undergraduate Student (PIBIC). UFRJ

Caio Atila Pereira (2020). Tracking spatio-temporal patterns in Atmospheric data through Topological Data Analysis. Masters student with José Ricardo. UFRJ

Guilherme Freire (2019). Sumarização Híbrida com Redes Pointer-Generator. Undergraduate student. UFRJ.

Victor Garritano Noronha (2019). Relacionando Geometricamente Tweets e Notícias Utilizando a Word Mover's Distance. Undergraduate student. UFRJ.

Fabiano de Paula Martins (2019). Um Algoritmo de Fusão de Dados para Ambientes Inteligentes. Undergraduate student. UFRJ.

João Vitor (2019). Generalized Eigenvalue Problems In Linear Hydrodynamic Stability. Undergraduate student with Juliana Valério. UFRJ. (SBMAC Award).

Daniel Vieira (2018). Vector Field Neural Networks. Masters student. UFRJ.

Tiago Novello (2018). Discrete Line Fields on Surfaces. PhD Student with Carlos Tomei. PUC-Rio.

Iago Leal (2017). Discrete Exterior Calculus. Undergraduate student. UFRJ.

João Lagôas (2017). Algoritmos e Triângulações para o Gradiente Discreto. Masters student. UFRJ.