Avi A. Patel

Curriculum Vitae

Education

Loyola University Chicago - Master of Science - Mathematics

  • August 2020 - May 2021

  • Advisor: Aaron Lauve, Ph.D.

  • Courses:

  • Topics in Linear Algebra

  • Topics in Mathematical Logic

  • Analysis I & II

  • Theory of Games

  • Probability & Stat II

  • Capstone Projects:

  • Markov Process in Linear Algebra: Studied different types of stochastic processes and the mathematical application to Google’s PageRank algorithm.

  • Vector Logic: Introduced the fields of Vector Logic, Kronecker (Tensor) Powers and Products, Boolean Polynomials, and the applications to quantum computing.

Loyola University Chicago - Bachelor of Science - Mathematics (Minor, Statistics)

  • August 2017- May 2020

  • Advisor: Rafal Goebel, Ph.D.

  • Courses:

  • Calculus I - III

  • Ordinary Differential Equations

  • Discrete Mathematics and Number Theory

  • Elementary Linear Algebra

  • Intro to Probability & Stats

  • Object Oriented Programming for Mathematics

  • Abstract Algebra I & II

  • Intro to Real Analysis I & II

  • Probability I

  • Cryptography

  • Algebraic Topology

  • SAS Programming & Applied Statistics

  • Applied Regression Analysis

  • Capstone Projects:

  • (STAT 308) Mutual Funds are a Scam: Using R to Beat the Market: By using data collected from the stock market and stored in a data set that initially contained 25308 Mutual Funds over 125 different market factors, we built and analyzed different models to assess the fitness of predictors in trading Funds. Our initial analysis determined that 10 numerical and 3 categorical variables have the highest likelihood of predicting Mutual Funds. We concluded through the regression analysis that while the Morning Star Rating became less accurate with time, no accurate set of predictors of funds determined whether or not a fund grew or shrunk over a course of a decade. Overall, we saw that medium term funds preformed worst overall compared to their long- and short-term counterparts.

  • (STAT 303) Breast Cancer Tumors and the Relation to Diagnostic Data: We hope to understand how certain factors play a role in determining whether or not breast cancer tumors are malignant or benign We hypothesized that the area mean, which is the averages of the areas of the individual tumors for a patient, would be the most important factor in determining if a cancerous tumor is malignant or benign. Using a data set with 375 benign and 212 malignant tumors, we used the mean, standard error, and the worst values of the radius, texture, perimeter, area, smoothness, compactness, concavity, concave points, symmetry, and fractal dimension. Using logistic regression analysis and our T-Tests, we concluded that area of a tumor alone cannot be used to predict malignancy.

Employment History

Online Course Assistant - Loyola University Chicago Department of Mathematics and Statistics

  • January 2021 - May 2021

    • Assisted the professor in the course by answering questions the students may have during lectures or groupwork, offered office hours to students to help them excel in the material, and grade exams to evaluate student performance.

Volunteer and Extracurricular Work

LUC Math & Stats Club

  • Tutor (October 2017-May 2021)

    • Analyzed students’ difficulties in understanding topics for math and statistics classes.

    • Worked with students and colleagues to improve student success in the classroom.

  • President (August 2019 - May 2020)

    • Worked alongside professors and advisors to coordinate activities and events, created platforms to enhance communication within the team, and increased outreach for the services that the organization offered.

  • Treasurer (August 2018 - May 2019)

    • Managed organization’s funds using Excel and worked with the University and professors to acquire those funds.

Suburban Medical Center

  • Volunteer Intern (May 2019-August 2019)

  • Shadow (May 2018, August 2018)

Interests

Human Languages

  • English - Native Proficiency - Listening, Reading, Writing, Speaking

  • Spanish - Limited Working Proficiency, Reading, Speaking, and Listening

Computer Languages

  • R

  • SAS

  • Python

Awards and Recognition

Magna Cum Laude - Loyola University Chicago, 2020

Department Honors - Loyola University Chicago Department of Mathematics and Statistics, 2020

  • Awarded by Anthony Giaquinto, Department Chairperson. “Nominated and selected based on academic achievements to the Department of Mathematics and Statistics and outstanding service as Math Club President.”