PROF. FELIPE A. DOS SANTOS

FELIPE ALBINO DOS SANTOS, PHD
Professor

Facudade de Computação e Informática
Universidade Presbiteriana Mackenzie
São Paulo, Brazil
falbinosantos@gmail.com

ABOUT ME

I work in infinite-dimensional Lie theory and representation theory, with a focus on algebraic structures associated with superelliptic/hyperelliptic curves. My research emphasizes explicit structural descriptions (especially universal central extensions) and how these descriptions yield computable invariants, recurrence relations, and new families of orthogonal polynomials, with longer-term connections toward (orthogonal/twisted) Yangian-type structures.

RESEARCH INTERESTS

Lie Algebras

Representation Theory

Krichever-Novikov Algebras

PUBLICATIONS

PUBLISHED

💡click on the titles to be redirected to the work's webpage

SUBMITTED

2026 — Superelliptic Affine Lie algebras and orthogonal polynomials II (with M. Neklyudov, V. Futorny),
submitted to Journal of Algebra and Its Applications.
2026 — Irreducibility of φ-Verma modules for a hyperelliptic Heisenberg algebra,
submitted to Algebras and Representation Theory.
2025 — Book: Modelagem Matemática e Pesquisa Operacional,
subbmited to Editora Mackenzie.

PREPARING TO SUBMIT

Templates for Cellular Automata (with P. P. Balbi, E. Ruivo).
Irreducibility under Kronecker-type substitutions (with V. Futorny, M. Neklyudov).
Modules over invariant subalgebras of Weyl algebras (with J. Schwarz).
Book project: Matemática Discreta (with Bruno Mascaro).

TEACHING

I teach Mathematics for Mathematics and Computer Science programs at Mackenzie and serve as course curator/responsible for Algebra II, also participating in the Mathematics collegiate board.

Courses taught

Linear Algebra; Mathematical Analysis; Algebra; Discrete Mathematics; Mathematical Modelling; Applied Operations Research; Applied Project.

SERVICE & OUTREACH

Refereeing / academic service

Referee/reviewer for Mathematical Reviews (AMS), zbMATH Open, and Lecture Notes in Computer Science.
Participation in institutional committees (Mackenzie) and examination boards (Mackenzie/UNIVESP; UFAM; etc.).

Outreach

Science outreach at Matemateca (IME–USP) (2014–2016) and public science events; development of broad-reach instructional materials (Instituto Claro / Net–Claro–Embratel, 2018–2019); and a workshop bridging Mathematics and Theoretical Computer Science: “A brief introduction to Cellular Automata” (2024)