Bruno
Gehlen
Graduate student in Mathematics at the University of São Paulo - working at the intersection of geometry, analysis, and code.
I study the Yamabe problem - constant scalar curvature of conformal metrics on Riemannian manifolds - where nonlinear PDEs meet differential geometry. Alongside research, I build fullstack and AI-driven software.
Geometry, analysis, and the structure of things.
Currently, I am specializing in geometric analysis. My research focuses on the Yamabe problem - which seeks constant scalar curvature of conformal metrics on Riemannian manifolds - blending nonlinear PDEs and differential geometry.
I'm deeply passionate about the interplay between geometry, analysis, and topology - and its applications in physics - as well as developing tools and software for deep learning.
Languages & Tools
The curiosities that feed the research.
UI Design
Designing interfaces that maximize usability and experience - from information architecture down to the last pixel.
Programming
Composing algorithms and clean code across languages to turn ideas into systems that actually work.
Technology
Applying conceptual knowledge to build reproducible tools - from software to the tangible.
Philosophy
A critical inquiry into existence, reason and knowledge - the questions that precede the math.
Education
Master of Science in Mathematics
Classification of solutions to the singular Yamabe problem and their relation to gravitational instantons
IME-USP, University of São Paulo, Brazil
Bachelor of Science in Physics
IF-USP, University of São Paulo, Brazil
Professional Experience
Scientific Research
Mathematica demonstrations in an introduction to Quantum Field Theory and Particle Physics
IFT, São Paulo State University, Brazil
Scientific Research
Study of Hadron Production from Thermal Models in collisions between relativistic heavy ions
IF-USP, University of São Paulo, Brazil
Book Template
A reusable LaTeX book template.
Details →
Statistical Mechanics
Course notes from S. R. Salinas - bridging microscopic and macroscopic phenomena.
Details →
Polka Dot Game
An interactive game built in Wolfram Mathematica.
Details →GitHub Activity
Contributions and open-source - always building something.
github.com/Bruno-Gehlen →Recently updated
Let's build something together.
São Paulo - SP, 05508-090