Education
- PhD Mathematics, McMaster University (2011)
Thesis: Closed Geodesics on Compact Developable Orbifolds. (pdf)
Advisor: Hans U. Boden - MSc Mathematics, McMaster University (2005)
Thesis: Orbifolds of Nonpositive Curvature and Their Loop Space. (pdf)
Advisor: Hans U. Boden - BSc Mathematics, 'Al. I. Cuza' University, Iasi, Romania (2003)
Thesis: Differential Inclusions in Hilbert Spaces. [Romanian]
Advisor: Ioan I. Vrabie
Employment
- I am currently an assistant professor at McMaster University
- I was previously employed as sessional lecturer and postdoctoral fellow at McMaster University
- ISCI 1A24 - Calculus I & II for Integrated Science
- ISCI 2A18 - Advanced Calculus for Integrated Science
- MATH 1F03 - Introduction to Calculus and Analytic Geometry
- MATH 1LS3 - Calculus for Life Sciences I
- MATH 2X03 - Advanced Calculus I
- MATH 1B03/1Z03 - Linear Algebra I
- MATH 2R03 - Linear Algebra II
- MATH 3MB3 - Introduction to Modelling
- 1 co-supervisor Dr. Traian Pirvu, Department of Mathematics & Statistics
- 2 co-supervisor Dr. Rosa da Silva, Department of Biology
- 3 co-supervisor Dr. Chad Harvey, School of Interdisciplinary Science & Department of Biology
- 4 co-supervisor Dr. Carolyn Eyles, jointly in the School of Geography & Earth Sciences and the School of Interdisciplinary Science
- [P]/[D] work presented at iSci Symposium: Synthesis - annual symposium of interdisciplinary undergraduate research at McMaster University
- [C] work presented at NeuroXChange - annual undergraduate research conference held by McMaster's BioPsych Society
- [1]/[2] a version of this work appeared in The iScientist (Vol.1/Vol.2) - McMaster University’s peer-reviewed undergraduate interdisciplinary research journal
Courses Taught:
Undergraduate Supervision (iSci)
| Integrated Science Honour Thesis (Level IV) | |||
|---|---|---|---|
| 2019-2020 | Michael Pasquariello | The Economics of Climate Induced Disasters1 (in progress) | |
| 2018-2019 | Cassandra Masschelein | Modelling Opinion Dynamics in Complex Networks | [D] |
| Integrated Science Research Projects (Level III) | |||
| 2020 | Abhigyan Dwivedi | Modelling Glioblastoma Cell Proliferation and Migration: A Comparative Analysis between the Right and Left Frontal Lobes (in progress) | |
| 2020 | Jonah Gautreau | Orbital Space Missions: An Analysis of Cost Efficiency Based on Mission Type (in progress) | |
| 2020 | Jalen Singh | Differentiating between End Systolic and End Diastolic Volumes in Heart Failure Prediction: Theoretical Aspects and Clinical Applications (in progress) | |
| 2020 | Armaan Somani | First Steps in Quantum Field Theory: Epistemological Foundations and Mathematical Representations (in progress) | |
| 2019 | Constantine Karolidis | Introduction to Modern Multidimensional Scaling: A Comparative Study of Efficiency of Health Care Systems in the Developed Countries | |
| 2017 | Zhang, Xi Yue | Modelling Networks of Drug-Drug Interactions in the Hyperbolic Plane | [P] |
| Integrated Science Research Projects (Level II) | |||
| 2019 | Maisha Ahmed, Christy Au-Yeung | A Comprehensive Review and Mathematical Model of Multisite Phosphorylation of the Alzheimer's-associated Tau Protein2 | [P] [C] |
| 2019 | Diego Covarrubias | The Mathematics of M.C. Escher's Works | |
| 2019 | William Hum, Alun Stokes | Novel Visualizations of Prime Numbers | [P] |
| 2019 | Ishita Paliwal, Peipei Wang | Mathematical Determination of the Most Influential Protein-Protein Interactions for the Treatment of Cerebral Sinus Venous Thrombosis | [P] |
| 2019 | Katarina Sacka, Paula Schimmer | Mathematical Modelling of Earth's Magnetic Pole Reversal | [P] |
| 2019 | Armaan Somani | Mathematical View on the Shortcomings of the Standard Model of Particle Physics | [P] |
| 2019 | Maggie Wilberforce | Graphical Mathematical Modelling of Calcium Ion Binding Dependent Vesicle Exocytosis in the Presynaptic Terminal of a Central Synapse | [P] [C] |
| 2018 | Hannah Hosein, Sloane Kowal | Mathematical Modelling of Temporal Lobe Epilepsy - an Application of Bifurcation Theory to Seizure Dynamics | [P] |
| 2018 | Constantine Karolidis | Non-mutualistic Co-evolutionary Game Theory with Python | [P] |
| 2018 | Kaushar Mahetaji, Fasna Raufdeen | First-Year Interdisciplinary Science Material - an Application of a Pedagogical Study Based on David K. Kolb's Theory of Learning | [P] |
| 2018 | Michael Pasquariello | Geometric Representations of Musical Chords and Progressions | [P] |
| 2018 | Matthew Speciale | Uniform Triadic Transformations: a Group-Theoretic Analysis of Tonality | |
| 2017 | Jacqueline Garnett, Monica Takahashi | Invasion Ecology: the Relationship Between 𝑟-Selected and 𝐾-Selected Species3 | [P] |
| 2017 | Leeor Greenbalt | An Introduction to Variational Calculus and Applications to Geometry, Economics and Classical Mechanics. | |
| 2017 | Graham Johnstone, Jonas Yeung | Mathematical Modelling of Magnetic Anomalies at Mid-Ocean Ridges4 | [P] |
| 2017 | Elsie Loukiantchenko, Elias Vitali | Modelling Star Formation from Dust Clouds with Varying Density Fields Using Cellular Automata. | [P] |
| 2017 | Sonya Martin, Gabriella Wynn | A Quantum Approach to the Monty Hall Problem. | [P] |
| 2016 | Matthew Anderson | Investigation into the Mathematical Principles of General Relativity. | |
| 2016 | Aurora Basinski-Ferris | Application of a Simplified Sznajd Model to Examine Opinion Dynamics in a Population. | [P][2] |
| 2016 | Brynley Hanson-Wright | The Geometry and Logic of Space – Perspective and Infinity in Escher’s Art. | |
| 2016 | Joann Krynski | Analysis and Applications of Ratios and Group Theory in the Study of Music Tonality. | [P] |
| 2016 | Anjali Narayanan | Curve Skeletons and Their Applications in Computer Aided Design. | [P] |
| 2016 | Jonathan Panuelos | The Classical and Stochastic Lotka-Volterra Models – A Comparative Analysis.† | [P] |
| 2016 | Xi Yue Zhang | Secrets in Math: How Do We Fly? | [2] |
| 2015 | Tristan Goodwill | Geodesics in General Relativity. | [P] |
| 2015 | Deep Inadmar | Geometric Analysis of Tonality in the Chord Space. | [P] |
| 2015 | James Lai | A Mathematical Model of Circumstellar and Circumplanetary Habitable Zones Accounting for Multiple Heat Sources. | [P][1] |
| 2015 | Jesse Provost | Brief History of Calculus of Variations and Applications to Classical Mechanics. |