Graduate Student Seminar Page
Contact
| Email: hb20@fsu.edu |
| Office: MCH413E |
Socials
Overview
Hello! I am a fifth year graduate student in the Department of Mathematics at Florida State University (FSU). Before this, I completed a Bachelor's in Mathematics and a Master's in Mathematics at Notre Dame University (NDU) - Lebanon.
My Research interests include Differential/Difference Algebra and Computer Algebra.
Research
- Classifying order 4 linear difference operators over C(x)
that are expressible in terms of lower order difference operators.
- Giving algorithms for solving fourth order difference equations in terms of second order equations, with applications to OEIS.
- Classifying order 3 linear difference operators over C(x)
that are expressible in terms of lower order difference operators.
- Giving an algorithm for absolute factorization of
recurrence operators and improve its efficiency, and an algorithm to solve third order
difference equations in terms of second order, similar to existing
algorithm for differential equations. Moreover, give applications to OEIS.
Teaching
- MAC2312 - Calculus II. - Spring 2025 at FSU
- MAC2312 - Calculus II. - Fall 2024 at FSU
- MAC2312 - Calculus II. - Summer 2024 at FSU
- MAC2311 - Calculus I. - Spring 2024 at FSU
- MAC2311 - Calculus I. - Fall 2023 at FSU
- MAT105 - Principle of Calculus - Spring 2019 at NDU
- MAT111 - Calculus I. - Spring 2019 at NDU
- MAT105 - Principle of Calculus - Fall 2018 at NDU
- MAT111 - Calculus I. - Fall 2018 at NDU
- MAT205 - Business and Economics II - Spring 2018 at NDU
- MAT111 - Calculus I. - Spring 2018 at NDU
- MAT105 - Principle of Calculus - Fall 2017 at NDU
- MAT111 - Calculus I. - Fall 2017 at NDU
- MAC2311 - Calculus I. - Fall 2021 at FSU
- Lab/Lecture Teaching Assistant:
- MAC1140 - Precalculus - Summer 2022 at FSU
- MAC2233 - Business Calculus - Spring 2022 at FSU
- MAC1105 - College Algebra - Spring 2022 at FSU
- MAC1114 - Analytic Trigonometry - Summer 2021 at FSU
- MAC2233 - Business Calculus - Spring 2021 at FSU
- MGF1106 - Mathematics for Liberal Arts - Spring 2021 at FSU
- MAC2233 - Business Calculus - Fall 2020 at FSU
- MGF1106 - Mathematics for Liberal Arts - Fall 2020 at FSU
Projects
Erdős Data Science Bootcamp | Fake Image Detection Project https://github.com/hebabkb/FakevsReal
September 2024 - December 2024
- Used the CASIA2 Ground Truth dataset, preprocessed imbalanced data with SMOTE, and extracted features like GLCM, ELA, Wavelet Transforms, Color Histogram, and Edge Detection, optimizing for subtle differences in real vs. fake images.
- Implemented stacking classifier models with meta-learners like SVC, XGB, and LGBM, achieving 81% accuracy with 83% recall for fake images.
- Developed and deployed a web application on Hugging Face that detects manipulated or AI-generated images in real-time.
Publications
Talks
Honors and Awards
- Tam Family Award for Excellence in Graduate Student Research - April 2024
- Bettye Anne Busbee Case graduate fellowship and doctoral mentorship recognition - April 2023
- Clara Kibler Davis Scholarship in Mathematics - April 2021, April 2023 and April 2024
- Second place award in Lebanese-American university mathematics tournament - May 2017
- Dean's Honor List at Notre Dame University, Lebanon-all undergraduate years
Other
- Member of the Society of Industrial and Applied Mathematics, Fall 2024 - Present
- Co-chair of the Mathematics Graduate Student Seminar, Fall 2022 - Fall 2024
- Member of the Mathematics Graduate Student Council, Fall 2022 - Fall 2024
- President of the Lebanese Student Organization at Florida State University, Spring 2023 - Spring 2025
- Co-chair of the Directed Reading Program (DRP), Fall 2023