Me Right Now
I am a PhD Student in Computational and Applied Mathematics, working under the direction of Illya Hicks. I am interested in a wide array of topics in discrete mathematics and computer science including graph theory, computational complexity, order theory, machine learning, combinatorial optimization, integer programming, and TU matrices.
In the Past
I graduated from Case Western Reserve University with a Bachelors of Science in Physics and Mathematics, with a minor concentration in Computer Science. I have also previously worked as a software developer in the Big Data group at PNC Bank.
Combinatorial Optimization with Illya HicksGraduate Research Spring 2017 - Present
My graduate research is focused on solving NP-Complete problems by exploiting graph properties to build and improve integer program formulations. Currently, I am working on a variety of graph color changing processes that model the spread of information in networks or interdependences in network systems.
Hyperspectral Image Classification with Julia DobrosotskayaSenior Capstone Summer 2014 - Spring 2015
In my capstone, I explored extensions to the standard K-means MATLAB function by incorporating spatial data inheirent in images. My poster won first place in the Natural Sciences division of the Spring 2015 Intersections ShowCASE poster session.
High Energy Astrophysics with Corbin CovaultUndergraduate Research Fall 2012 - Spring 2015
Throughout most of my undergraduate career I was active in Ultra High Energy Cosmic Ray research. I created prototype cosmic ray shower detectors, and worked to optimize their design through Monte Carlo shower simulations. In my senior year, I traveled to the Telescope Array (TA) in Delta, UT to assist in building cosmic ray detectors with the Pierre Auger Cosmic Ray Collaboration.
Peer-Reviewed Journal Publications
B. Brimkov, J. Carlson, I. V. Hicks, R. Patel, and L. A. Smith. Power domination throttling. Theoretical Computer Science (in press) (2019). Article link.
B. Brimkov, D. Mikesell, L. A. Smith. Connected power domination in graphs. Journal of Combinatorial Optimization (in press) (2019). Article link.
L. A. Smith, I. V. Hicks. Optimal Sensor Placement in Power Grids: Power Domination, Set Covering, and the Neighborhoods of Zero Forcing Forts. Submitted (in review) (2019).
L. A. Smith, D. J. Mikesell, I. V. Hicks. An Integer Program for Positive Semidefinite Zero Forcing in Graphs. Submitted (in review) (2019).
Logan Smith. Fort Neighborhoods: A Set Cover Formulation for Power Domination in Graphs. Master's Thesis, Rice University, Dec. 2018.
PNC Financial Services Group Software DeveloperCleveland, OH June 2015 – July 2016
I implemented prototype fraudulent ATM activity detection algorithms, assisted in large data migrations, and created SQL query parsers to monitor access throughout bank databases.
Lumir Research Institute Lab TechnicianDayton, OH Summer 2012, 2011
In efforts with GRILL , I developed a fire evacuation simulation using gaming technology, and developed a Monte Carlo Simulation in MATLAB for disease transfer. This was part of a larger STEM outreach project working to use pre-existing technology to create interesting projects for STEM interest high school students.