Portfolio

Technical Skills:

• 💻 Python, R, SQL, Microsoft Office
• 📈 Probability&Statistics, Math-modeling
• 📐 Problem-solving, Math-research

Education

• Ph.D., Mathematics

  National Autonomous University of Mexico (May 2020)

• M.S., Mathematics

  National Autonomous University of Mexico (January 2015)

• B.S., Mathematics & Computer Sciences

  Michoacan University, Mexico (August 2013)

Work Experience

Mathematics and Statistics Instructor @ UNC Charlotte (September 2020 - Present)

• Taught a broad range of mathematics course curriculum to college students
• Built textbook and digital courseware.

Postdoctoral Fellow @ UNC Charlotte (September 2022 - Present)

• Conducted research on the foundation of mathematics and optimization models.
• Organized the departmental local seminar of international scope.

Projects

(Dis)similarities of coffee shops in Paris, Manhattan, and Toronto

LinkedIn Post

GitHub Code

Completed the “IBM Data Science with Python” certification including an extensive coursework in Data Science using Python and SQL. Used the Fourth Square app to collect venue data, and applied relational database in a cloud API. Performed data analytics and visualization. Used machine learning models to compar (dis)similarities of clusters of venues.

Statistics with R

GitHub Course

Used R and Microsoft Excel to built a Statistics comprehensive course for college students. Visualized and presented data, and applied statistical methods such as regression models and testing hypothesis.

Minimizing fee transactions in the Lightning Network

Joint collaboration in progress to minimized cost transactions in the scheme of lightning network of Bitcoin. Simulated models with prefabricated graphs using machine learning’s tools in Python. Implemented algorithms for model’s solution.

Lectures @ UNC Charlotte

• Elements of Statistics I - Spring 2024, Summer 2024
• Calculus III - Fall 2021, Spring 2022, Fall 2023
• Matrices and Linear Algebra - two sections Summer 2022, Fall 2022, Spring 2023, Summer 2023
• Calculus II - Fall 2020, Spring 2021, two groups Spring 2022, Summer 2023
• Calculus I - Spring 2021, Fall 2021, Spring 2022
• Precalculus - two sections Fall 2020, Fall 2021
• Advanced Multivariable Calculus - Fall 2021
• Business Calculus - Spring 2021
• Differential Equations - Fall 2020, Spring 2021

Publications

1. Barriga H., Kummerle C, Saraswathi S. Optimizing bitcoin lightning network. In Progress.
2. Barriga H., Dow A. Disjoint local $\pi$-bases.In Progress
3. Adams H., Adetowubo A., Barriga H. Homotopy types of torus grids. In Progress
4. Barriga H., Brian W., Dow A. On Roitman’s principles MH and $\Delta$. Submitted to Israel Journal of Mathematics
5. Barriga H., Dow A. On the weak pseudoradiality of CSC spaces. Fundamenta Mathematicae 258 (2022): 249-264
6. Barriga H., Gartside P. Box and nabla products that are $D$-spaces. Indagationes Mathematicae (2023), https://doi.org/10.1016/j.indag.2023.04.002
7. Barriga H., Gartside P. Monotone normality and nabla-products. Fundamenta Mathematicae 254 (2021), 99-120
8. Barriga H., Hernandez F. $\mathfrak{c}$-many types of a $\Psi$-space. Topology and Its Applications, 253 (2019), 1-6
9. Barriga H., Morales I. Mathematical Memories of PCCM, 2017. Compilation of a sequence of lectures given by students and professors from the PCCM UNAM-UMSNH in 2017
10. Barriga H., Hernandez F. On discretely generated box products. Topology and Its Applications, 210 (2016), 1-7

Also visit ArXiv: Hector Barriga Acosta