So you made it to my math research page, yay! Throughout my time as an undergraduate I have had some incredible opportunities to conduct math research.

In the summer of 2014, I particiated in a pure math REU that was based out of CSU Fresno. During the REU I did graph theory research which was focused on the Well-Covered Dimension of Levi Graphs. Together with another undergraduate student Jessica Hauschild who was participating in the REU and our research advisor Professor Vega we created and proved a theorem concerning the Well-Covered Dimension of Point-line Configurations. After we proved this theorem, we got the opportunity to present a poster at the Undergraduate poster session at the 2015 JMM/MAA joint mathematics conference that was held in San Antonio. During the summer we also produced a paper on our theorem that has now been published in the mathematics journal, Involve - a journal of mathematics in Vol. 8(2015), No. 5, 893-900. I would put a link to the publication itself but the journal requires a subscription so the pdf of my paper will have to suffice. Along with being able to say that I now have a publication I am also able to say that I have an erdos number of less than or equal to 4 which I am also very pleased about.

Here is my mathematical heritage if you are curious,
- P. Erdös and Z. Füredi. Families of finite sets in which no set is covered by the union of two others. J. Combin. Theory Ser. A 33 (1982), no. 2, 158-166.

- F. Lazebnik and Z. Füredi. Graphs of prescribed girth and bi-degree. J. Combin. Theory Ser. B 64 (1995), no. 2, 228-239.

- F. Lazebnik, K. Mellinger, and O. Vega. Embedding cycles in finite planes. The Electronic Journal of Combinatorics 20(3) #24. 2013.

- J. Hauschild, J. Ortiz and O. Vega. On the Levi graph of point-line configurations. Involve: a journal of mathematics. Vol 8.(2015), No. 5, 893-900.

During the 2014/2015 school year with the guidance of my thesis advisor Professor Omar, I completed my Senior Thesis. My thesis was on graph theory and focused on orbital chromatic polynomials. I also got the opportunity to present a poster at the 2015 Pacific Coast Undergraduate Mathematics Conference poster session.