Mahishanka Withanachchi
Postdoctoral Fellow in Mathematics
University of Calgary, Alberta, Canada
Email: mahishanka.withanach@ucalgary.ca
Phone: +1 403 399 3192
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Research Interests
- Complex Analysis and Operator Theory
- Harmonic and Microlocal Analysis
- Geometric Analysis on Kähler Manifolds
- Manifold Learning and Machine Learning Theory
- Mathematical Physics and Spectral Theory
Education
- Ph.D. in Mathematics, Laval University, Canada (2019–2024)
Advisor: Prof. Javad Mashreghi
Dissertation: Polynomial Approximation in Local Dirichlet Spaces
- M.Sc. in Mathematics, Texas A&M University, USA (2018)
- B.Sc. (Honours) in Mathematics, University of Colombo, Sri Lanka (2008–2012)
Preprints & Submitted Papers
- Solvability of the Bézout Equation for Banach Algebra--Valued Bounded Holomorphic Functions on the Polydisk (with Alex Brudnyi)
- Learning Spatio-Temporal Dynamics via Operator-Valued RKHS and Kernel Koopman Methods (Submitted)
- State Space Interpretation of Governance: A Control Theoretic Perspective (with N. Jayarathne)
- Curvature-Aware Clustering and K-Means Comparison:A Geometric Perspective on Manifold Learning (with M. Aminghafari)
- Functional Calculus for Non-Normal Operators via RKHS Framework
Teaching Experience
- Calculus I & II – University of Calgary
- Linear Algebra & Engineering Mathematics – Laval University (in French)
- Algebra Qualifier Prep for PhD students – Texas A&M
- Business Calculus, Engineering Mathematics I–III – Texas A&M
Fellowships and Awards
- NSERC Postdoctoral Fellowship (Canada)
- ISM Graduate Scholarship (Laval University)
- Multiple NSF and SIAM Travel Awards (Texas A&M)
- Dean’s Scholarship (Texas A&M)
- Dr. Douglas Amarasekara Award for Best Math Graduate (University of Colombo)
- Laval University Excellence Scholarship for New Graduate Students
Invited Talks & Conference Roles
- Co-Organizer – CMS Winter Meeting (Toronto, 2025): Session on Complex Analysis and Geometry
- Visiting Scholar – Deakin University June 2025 (Worked with Dr. Lashi Bandara)
- Invited Speaker – University of Sydney PDE Seminar (2025)
- Invited Speaker – Monash University (Analysis, PDE & Geometry Seminar)
- Organizer – University of Calgary AGMP Seminar (2025)
- Co-Organizer – SSC Meeting (2025): Session on Data Science and Machine Learning
- Speaker – CMS Summer Meeting, Saskatoon (2024)
- Speaker – JMM Special Session on Harmonic Analysis and Fractals (2024)
- Speaker – CIRM (France), Operators on Analytic Function Spaces (2024)
Programming & Technical Skills
- Languages: Python, MATLAB (10+ years), C++, Java
- Experienced with LaTeX, numerical simulations, and algorithm design
- Problem solving using Project Euler and custom algorithmic work