I earned my Ph.D. in Applied Mathematics from York University in 2014, after completing an M.A. in Mathematics and Statistics in 2009 and a B.Sc. and M.Sc. in Pure Mathematics in 1982 and 1985, respectively.
Since 2015, I have been teaching in the Department of Mathematics and Statistics at the Faculty of Science and the Faculty of Graduate Studies at York University.
In addition to my academic work, I recently retired as Vice Principal of Francis Libermann C.H.S. I also served as Vice Principal of St. Joan of Arc Academy, Toronto Catholic District School Board, from 2018 to 2022.
In 2015, I founded the York-Fields Math Circle, an enrichment program for high school students with a passion for mathematics. As Coordinator from 2015 to 2023, I helped connect mathematicians with motivated students across the Greater Toronto Area, providing opportunities to explore advanced topics beyond the standard curriculum. The program covers areas such as number theory, real analysis, cryptography, graph theory, geometry, vectors and linear algebra, and includes problem-solving strategies from past American Regions Mathematics League (ARML) competitions.
Research Interests
My research focuses on the fields of Medical Imaging and Machine Learning, with a particular interest in how mathematical methods can enhance the analysis and interpretation of medical data. I am currently exploring subspace learning, convex optimization, and sparse approximations, all of which play a crucial role in improving the accuracy and efficiency of imaging techniques.
Machine Learning
In the realm of machine learning, my work centers on developing and applying advanced algorithms for data analysis. Specifically, I am interested in:
- Subspace-based learning: Investigating methods for reducing the dimensionality of complex data while preserving essential features, which has applications in various fields, including image recognition and pattern analysis.
- Applications in Medical Imaging: Utilizing machine learning techniques to enhance diagnostic imaging, enabling better detection and interpretation of medical conditions through technologies like MRI and CT scans.
- Applications in Change Detection: Developing algorithms to detect subtle changes in data over time, which can be applied in both medical diagnostics and other areas such as environmental monitoring.
- Supervised learning: Designing models that use labeled data to improve predictions and classifications, particularly in medical diagnosis and treatment planning.
- Unsupervised learning: Exploring techniques for analyzing large, unlabeled datasets to discover hidden patterns and insights, especially in complex medical data.
Mathematics Education
In addition to my research in machine learning and medical imaging, I am deeply involved in mathematics education. My educational interests include:
- Teaching Mathematics Through Problem Solving: Promoting problem-solving as a core approach to teaching mathematics, encouraging students to develop critical thinking and analytical skills.
- Enrichment in Mathematics: Training both teachers and students for mathematics contests and Olympiads, fostering a deeper understanding of advanced topics and competitive problem-solving techniques.
- The Use of Technology in the Mathematics Classroom: Exploring how technological tools can enhance the teaching and learning experience, making mathematical concepts more accessible and engaging.
- Differentiating Classroom Instruction: Developing strategies to tailor mathematics instruction to meet the needs of diverse learners, ensuring that all students can achieve success regardless of their background or skill level.
Teaching
2024 - 2025
- SC/MATH 3052 A Fall/Winter: Exploring Geometries, Fall/Winter
- SC/MATH 1190 B Fall: Introduction to Sets and Logic
- SC/MATH 1507 Q Winter: Math II for Biological/Health Sciences
2023 - 2024
- SC/MATH 3052 A Fall/Winter: Exploring Geometries, Fall/Winter
- SC/MATH 1190 B Fall: Introduction to Sets and Logic
- SC/MATH 1507 R Winter: Math II for Biological/Health Sciences
2022 - 2023
- SC/MATH 3052 A Fall/Winter: Exploring Geometries, Fall/Winter
- SC/MATH 1506 E Fall: Mathematics I for the Biological and Health Sciences
- SC/MATH 1090 M Winter: Intro. to Logic for Computer Science
- Coordinator & Instructor, York-Fields Math Circle, Fall/Winter
2021 - 2022
- SC/MATH 3052 A Fall/Winter: Exploring Geometries, Fall/Winter
- SC/MATH 1506 D Fall: Mathematics I for the Biological and Health Sciences
- SC/MATH 1506 B SU: Mathematics I for the Biological and Health Sciences
- SC/MATH 2022 S2: Linear Algebra II
- Coordinator & Instructor, York-Fields Math Circle, Fall/Winter
2020 - 2021
- SC/MATH 3052 A 6.0 Y: Exploring Geometries, Fall/Winter
- SC/MATH 1131 3.0 SU, Sec. A: Introduction to Statistics I
- SC/MATH 1021 3.0 SU, Sec. A: Introduction to Linear Algebra I
- Coordinator & Instructor, York-Fields Math Circle, Fall/Winter
2019 - 2020
- SC/MATH 3052 A 6.0: Exploring Geometries, Fall/Winter
- SC/MATH 1131 3.0 SU, Section A: Introduction to Statistics I
- Coordinator & Instructor, York-Fields Math Circle, Fall/Winter
2018 - 2019
- SC/MATH 1300 3.0 Fall, Sec. D: Differential Calculus with Applications
- SC/MATH 5510 3.0 Fall, Sec. A: Topics for Mathematics for Teachers
- SC/MATH 1090 3.0 Winter, Sec. M: Intro. to Logic for Computer Science
- SC/MATH 1090 3.0 Summer, SU, Sec. A: Intro. to Logic for Computer Science
- SC/MATH 3330 3.0 S2, Sec. M: Regression Analysis, Summer
- Coordinator & Instructor, York-Fields Math Circle, Fall/Winter
2017 - 2018
- SC/MATH 1200 E 3.0: Problems, Conjectures, and Proofs, Fall/Winter
- SC/MATH 3052 A 6.0: Exploring Geometries, Fall/Winter
- Coordinator & Instructor, York-Fields Math Circle, Fall/Winter
2015 - 2016
- MATH 1581 S1 3.0: Math for Business, Summer
- Teaching, Learning Mathematics Through Problem Solving, York University, Fall
- Coordinator & Instructor, York-Fields Math Circle, Fall/Winter
2014-2015
- Math 5220 S1 Problem Solving, Summer
- Discover Mathematics behind Fractals, Helix Summer Science Institutes, York University, Summer
- Coordinator & Instructor, York-Fields Math Circle, Fall/Winter
2009 -2012
- Teacher Assistant, York University, September 2009 – August 2012.