Luke Szramowski

Enthusiastic Mathematics Instructor with 6 years of experience, possessing good leadership, research and interpersonal skills. Talented in providing strong quality instruction and creating positive learning environments. Dedicated to helping creative supportive, stimulating and learning-focused classroom environments, with a strong focus on student communication.

My undergraduate degree was a Bachelors of Science in Mathematics with a Minor in Statistics, consisting of the following core coursework:

• Calculus 1,2 and 3
• Elementary Statistics 1 and 2
• Mathematical Statistics 1, 2 and 3
• Abstract Algebra 1 and 2
• Analysis of the Real Numbers 1 and 2
• Introduction to Modern Proof Methods
• Number Theory
• Linear and Numerical Analysis
• Data Analysis
• A Survey of Irrational and Transcendental Numbers

During this time, I was also engaged in undergraduate research in Statistics, where my advisor Dr. Kim and I worked on an analysis of the Burr Type 12 distribution, for which I was awarded first place at a regional science conference at Penn State Behrend.

After my undergraduate was completed, I went on to earn a Masters of Science in Mathematics, with a focus in Number Theory. During this time, I completed the following coursework:

• Galois Theory
• Mathematical Logic
• Advanced Linear Analysis
• Advanced Number Theory
• Graph Theory 1,2 and 3
• Advanced Group and Ring Theory
• Real Analysis

I completed my thesis in Sieve Theory, a subfield of Number Theory, which can be found at https://etd.ohiolink.edu/acprod/odb_etd/etd/r/1501/10?clear=10&p10_accession_num=ysu1588697294583128 . Upon completion, I was accepted to the Mathematics PhD program at Clemson University, where I completed the following coursework:

• Scientific Computing
• Linear Optimization
• Algebraic and Analytic Number Theory
• Measure Theory and Functional Analysis
• Cryptography and Post Quantum Cryptography
• Error Correcting Codes
• Ring Theory and Differentiable Manifolds
• Group, Ring and Field Theory
• Stochastics and Probability Theory

During this time, I completed research in Polar Codes, with which I achieved a second Masters of Science in Mathematics, with a focus in Coding Theory and Cryptography.