Papers & Talks

Unique Research

TotalDomination and MATLAB_handout.pdf

Total Domination with MATLAB


Closed formulas for total 2-domination of Cartesian product of complete graphs

2001.07850 (Total Domination).pdf

This paper focuses on specifically the total 2-domination of complete graphs. Focusing primarily on rigorous proofs rather than computational validation.

View the paper on arXiv

Monte Carlo Markov Chain
Simulations

MCMCSimBoundaries.mp4

I used a MCMC model to mimic population growth based on PNG color mappings which dictated a trinary model to modified the transition matrix to specify the intents of each collection of cells. Roughly dictating that the RGB values would change the proclivity of the cells to either increase population, increase strength, or expand. Future goals of the project would be to include Machine Learning and Voxelated figures but my efforts towards the VMLMCMCM have taken a back burner as I focus on my studies. Similarly the write up including the code has also taken the back burner.

Presentations

Modern Applications of Lindenmayer Systems

modern_applications_lindenmayer.pdf

Presented at Ferris State University
(April 2017 )

Drunk Cops and Drunk Robbers

MTH402_Capstone_Final.pdf

Undergraduate Thesis, Presented at the University of Michigan -- Flint

(April 2018)

Constructing a Strong Personal Statement

Making a Personal Statement.pdf

Presented at Florida International University
(June 2021)

Making a Personal Academic Website

WebsitePresentation.pdf

Presented at Florida International University (March 2021)

Physics Research

Spewing Black Holes, Disentangling the Geometry of Out ows.pdf

Research presented at the Meeting of Minds Conference in 2016

Spewing Black Holes III, A Theoretical Structure.pdf

Research presented at the Meeting of Minds Conference in 2016

Spewing Black Holes, Out ows from the Biggest Black Holes inthe Universe.pdf

Research presented at the Meeting of Minds Conference in 2015


Spewing Black Holes I Observational Constraints on Velocity and Outflows.pdf

Research presented at the UGSRC in 2016

Non Research-based Collaborative Work

Number Theory
Book

(December 2017)

number-theory-fall.pdf

For my undergraduate number theory course, my class, using IBL, investigated the field of Number Theory. We looked into many of the facets of Number Theory and recorded a sample of the proofs for the theorems and lemmas we discovered.

University Physics
Competition

(Bronze Medal)

F2015_University_Physics_Competition.pdf

Back in 2015, myself and two of my peers were able to get a bronze medal at the national University Physics Competition. We were very pleased with our answer and proud that we were able to achieve such high honors.

Topology
Book

(April 2016)

Introduction_to_Topology.pdf

Back in 2015, myself and two of my peers were able to get a bronze medal at the national University Physics Competition. We were very pleased with our answer and proud that we were able to achieve such high honors.