Research

Papers

• Domination in the Tensor Product of Path Graphs with Walter Carballosa et. al., (pending)

• k-Domination in Cartesian Product of Complete Graphs with Liam Busch et. al, Springer Proms, (pending)

• Total k-domination in Cartesian product of complete graphs with Walter Carballosa, Discrete Applied Mathematics, Volume 337, 2023, Pages 25-41, ISSN 0166-218X, https://doi.org/10.1016/j.dam.2023.04.008.

• Spewing Black Holes III: A Theoretical Structure with Rajib Ganguly et. al., Meeting of Minds Journal, Volume 18, 2016.

• Spewing Black Holes: Outflows from the Biggest Black Holes in the Universe with Rajib Ganguly et. al., Meeting of Minds Journal, Volume 17, 2015.

• Spewing Black Holes: Disentangling the Geometry of Outflows with Rajib Ganguly, Meeting of Minds Journal, Volume 17, 2015.

Mentoring

REU Mentor 2021-2023

I was a research experience for undergrads mentor at FIU. Our program was sponsored by the NSF (21-23) and the NSA (22). In 

• Domination in Tensor Product of Bipartite Graphs, 2023, with Katherine Jordan and Jamal Wagnac

• Bounds on Domination in Tensor Product of Path Graphs, 2023, with Kennedy S. Vallenilla and Manuel Lopez Del Castillo

• Domination of Cartesian product of complete graphs, 2022, with Liam Busch, Grant Silewski and Han Yin under Dr. Walter Carballosa

• Policy of Polities, an examination of civilization success, 2021, with Alejandro Aponte under Dr. Stephen Tennenbaum

DRP 2021-2023

I have been a DRP mentor at FIU for 3 semesters. We have read into the following topics in various projects:

• Martin Gardner's texts

• Numbers behind Numb3rs

• AI development in Video Games

Relevant Employment

Graduate Assistant @ Florida International University (2020-Present)

I was offered funding as a masters student given my background in education and previous work as an instructor. Since then I have been a teaching assistant for entry level and upper level. I use my background in combinatorics and graph theory to help with the discrete courses. 

• Graph Theory 

• Calculus 2

• Theory of Algorithms

• Discrete Mathematics

Digital Assistant and Mathematical Programmer @ Florida International University  (2020-Present)

Given my background with front end, I was supported by the faculty to take the role of digital TA for the department. My background allowed me to skip the training and get administrator status. Since then I was given the lead roll for all edits of the website. Over time, the department has given me more privileges and I am given the lead roll in site redesigns. I use my position to help increase accessibility and availability of department resources while we update our materials for new students.

Curriculum Developer @ Illustrative Mathematics (2019-2020)

From April 2018 to December 2020, I was brought on at Illustrative Mathematics for their High School Curriculum Development team. While I started in visual aid generation, I found myself helping out everywhere I could. I ended up finding myself picking up a role of a content reviewer as well as the sole corrections reviewer after our first release. When Illustrative Mathematics wrapped up their high school curriculum, they set their sights on Middle School and Elementary School, where I was brought over. This transition brought new challenges where I was able to produce the vast majority of the library of images and templates used in the curriculum. 
My time at IM was a fantastic experience and I hope the best for the company and the family of all those that made IM so successful. 

Visual Aid Developer @ Illustrative Mathematics (2018-2021)

Most of my time at Illustrative Mathematics, I was working on visual aid development. In my near three years with the company I made more than 10,000 visual aids for the curriculum. I also worked on the design and implementation of the visual aids to maximize their effectiveness.
We used TeX code, or more specifically Tikz and PGF, to make almost all of our images and even some of our illustrations. I made custom packages that would more effectively and efficiently generate visual aids with the flexibility to make curriculum wide changes with one edit. This code was hosted on our own site but we used GitHub to help distribute our repositories to help keep the rest of the team updated.

I made visual aids for all levels of primary education and served as image lead for the elementary school projects. 

Physics Research Group @ University of Michigan Flint (2014 - 2017)

 During my undergraduate studies, I was part of a research group that delved into the analysis of quasar spectra using data from the Sloan Digital Sky Survey. Our main objective was to classify these quasars by examining their absorption lines, which enabled us to identify the elements present in the quasar's clouds. This approach helped us in developing classification equations and insights into the light absorption witnessed in these distant celestial bodies. Additionally, our research extended to conducting Hydro simulations, which allowed us to model and understand the complex physical processes and interactions within and around the quasars. 

University news article on our group. 

Supplemental Instructor and Tutor @ University of Michigan Flint (2014-2018)

Starting after my first semester of my undergraduate education, I was a Supplemental Instructor and tutor for the University of Michigan - Flint. I was brought in as a SI for Physics but branched out to mathematics early on. I was a SI every semester until I graduated 4 years later, often helping in multiple classes a semester. Some of the courses I assisted are Calculus I, Business Calc, Calculus II, Calculus III, Physics with Calc I and II, Physics without Calc I and II.