Papers & Talks
Unique Research
TotalDomination and MATLAB_handout.pdfTotal Domination with MATLAB
Closed formulas for total 2-domination of Cartesian product of complete graphs
2001.07850 (Total Domination).pdfThis 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
Simulations
MCMCSimBoundaries.mp4I 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.pdfPresented at Ferris State University
(April 2017 )
Drunk Cops and Drunk Robbers
MTH402_Capstone_Final.pdfUndergraduate Thesis, Presented at the University of Michigan -- Flint
(April 2018)
Constructing a Strong Personal Statement
Making a Personal Statement.pdfPresented at Florida International University
(June 2021)
Making a Personal Academic Website
WebsitePresentation.pdfPresented at Florida International University (March 2021)
Physics Research
Spewing Black Holes, Disentangling the Geometry of Out ows.pdfResearch presented at the Meeting of Minds Conference in 2016
Spewing Black Holes III, A Theoretical Structure.pdfResearch presented at the Meeting of Minds Conference in 2016
Spewing Black Holes, Out ows from the Biggest Black Holes inthe Universe.pdfResearch presented at the Meeting of Minds Conference in 2015
Spewing Black Holes I Observational Constraints on Velocity and Outflows.pdfResearch presented at the UGSRC in 2016
Non Research-based Collaborative Work
Number Theory
Book
Book
(December 2017)
number-theory-fall.pdfFor 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
Competition
(Bronze Medal)
F2015_University_Physics_Competition.pdfBack 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
Book
(April 2016)
Introduction_to_Topology.pdfBack 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.