About Me

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

2023 - 2024

2022 - 2023

2021 - 2022

2020 - 2021

2019 - 2020

2018 - 2019

2017 - 2018 

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.