## Directed Bachelor Thesis

II-2023: I supervised three Bachelor monographs in Mathematics at Universidad del Norte.

- Gabriel Ayala:
*Analysis of Graphs: Spectral Theorem and Communities Detection*. - David Barco:
*Manifolds, Stokes Theorem and Differential Forms*. - Naim German Zuluaga Ramirez:
*Hyperbolic Space and Kleinian Groups: Constructing Hyperbolic 3-Manifolds.*

Summer semester 2017: I supervised two Bachelor thesis in Mathematics at University of Luxembourg.

- Joel Costa:
*Spectral Theory on the hyperbolic plane*. - Loqman Salamatian:
*Gromov Compactness Theorem*.

## Courses Taught

### Universidad del Norte. Barranquilla, Colombia, 2019 – 2024

- II semester 2023: In-person. Calculus 1 and Differential Equations. (9 hours/week).
- I semester 2023: In-person. Calculus 1 and Differential Geometry. (9 hours/week).
- I semester 2022
*:*In-person. Differential Equations x3 and Differential Geometry. (12 hours/week). - II semester 2021: Online. Differential Equations x2 and Calculus 1. (12 hours/week).
- I semester 2021: Online. Differential Equations x3 and Differential Geometry. (12 hours/week).
- II semester 2020: Online. Differential Equations x3 and Linear Algebra. (12 hours/week).
- I semester 2020: Started in-person, finished online. Differential Equations (big course) and Differential Geometry. (9 hours/week.)
- II semester 2019: In-person. Calculus 1 x2. (12 hours/week).
- I semester 2019: In-person. Analysis 2 and Calculus 1. (10 hours/week).

University of Luxembourg, Luxembourg, 2015 – 2018

- Summer semester 2018: Lecture on Functional Analysis.
- Summer semester 2017: Lecture on Functional Analysis.
- Winter semester 2016: Tutorial for Mathematical Structures.
- Summer semester 2015: Lecture on Functional Analysis.

Universidad de los Andes, Bogota, Colombia

#### 2009

- I semester 2009: Linear Algebra and Vector Calculus.
- II semester 2009: Linear Algebra and Complex variables.

#### 2001 – 2003

- I semester 2002: Differential Calculus (reinforced).
- II semester 2002: Differential Calculus and Integral Calculus.
- I semester 2003: Integral Calculus and Linear Algebra.

### Mathematical Institute, University of Bonn, Bonn, Germany, 2004 – 2005

I taught tutorial for the following lectures:

- Summer Term 2005. Analysis 2 for Prof. Dr. J. Franke.
- Winter Term 2004-2005. Analysis 3 for Prof. Dr. K. Th. Sturm.
- Summer Term 2004. Analysis 2 for Prof. Dr. K. Th. Sturm.

## Co-organized Seminars

Topology and Geometry seminar at the University of Luxembourg. Feb 2017-Sept 2018. Co-organizer.

Working group on inverse spectral problems at the University of Nantes, winter semester 2014. Co-organizer.

Informal research seminar on Analysis at the Max Planck Institute for Gravitational Physics. June 2012 – March 2013. Co-organizer.

Research seminar on Geometry and Topology at the Universidad de los Andes. Second semester of 2009. Co-organizer.