I teach at Escuela de Matemáticas at Universidad Industrial de Santander, in Bucaramanga, Colombia. Full name: Jose Gabriel Acevedo Habeych.
I received my bachelor and masters degrees from Universidad De Los Andes, advised by Mauricio Velasco. I then received my Ph.D. in Mathematics from Georgia Tech, advised by Greg Blekherman.
Research
I'm interested in Convex Algebraic Geometry, Representation Theory, and its applications to different areas of Mathematics, like Graph Theory and Combinatorics.
Publications
The wonderful geometry of the Vandermonde map
with Grigoriy Blekherman, Sebastian Debus, and Cordian Riener
Foundations of Computational Mathematics
Symmetric nonnegative functions, the tropical Vandermonde cell and superdominance of power sums
with Grigoriy Blekherman, Sebastian Debus, and Cordian Riener
Collectanea Mathematica
Power mean inequalities and sums of squares
with Grigoriy Blekherman
Discrete & Computational Geometry
Test sets for nonnegativity of polynomials invariant under a finite reflection group
with Mauricio Velasco
Journal of Pure and Applied Algebra
Preprints
Eigenvalues of locally positive semidefinite matrices: non-convexity and geometry
with Grigoriy Blekherman, Sebastian Debus, Seokbin Lee, and Cordian Riener
Resources for students
arXiv
CoCalc
WolframAlpha
Overleaf
GeoGebra classic
Desmos
Math Olympiads
Misc
Animations
Interactive 3D visualization of the set of eigenvalues of \(4\times4\) 2-locally psd matrices on the hyperplane \(x_1+x_2+x_3+x_4=1\text{.}\)
▶ View ▶ View (with axes)