Carlos Andrés
Alvarado Álvarez

Hey! I am a PhD student at Columbia University interested in Algebraic Topology. I am from Puerto Rico and I completed my undergraduate studies at MIT. You can reach me at ca3172 (at) columbia (dot) edu.

hello my name is carlos

Papers/Preprints

Families of degenerating Poincaré-Einstein metrics on R^4: This paper was the result of a UROP under Professor Tristan Ozuch along with Daniel Santiago.

Dynamical Stability of Translators Under Mean Curvature Flow: This paper was the result of SPUR+. The project was proposed by Professor William Minicozzi and Tang-Kai Lee mentored me along with Ayodeji Linblad.

Expository Notes

Fourier Transform on LCA Groups: This was the final project for 18.104 joint with William Hegelmeyer. The seminar topic was Fourier Analysis.

Khovanov Homology: This was the final project for 18.904. The seminar topic was Knot Theory.