Experience
- Senior Applied Scientist, Amazon, Ads, New York, NY April 2026 – Present
- Applied Scientist, Amazon, Ads, New York, NY Aug 2022 – March 2026
- Postdoctoral Fellow, McMaster University, Department of Mathematics and Statistics, Hamilton, ON Sept 2019 – Aug 2022
- Postdoctoral Fellow, Fields Institute for Research in Mathematical Sciences, Toronto, ON Jan 2020 – June 2020 Cross-appointed with McMaster University
- Postdoctoral Fellow, University of Geneva, Section of Mathematics, Geneva, Switzerland Sept 2017 – Aug 2019
- Graduate Researcher, Course Instructor, University of Toronto, Department of Mathematics, Toronto, ON 2012 – 2017
- Research Assistant, University of Regina, Department of Mathematics and Statistics, Regina, SK May 2012 – Aug 2012
- Research Assistant, University of Regina, Department of Mathematics and Statistics, Regina, SK May 2011 – Aug 2011
- Research Assistant, TRIUMF, Vancouver, BC Jan 2010 – April 2010
Education
- PhD, Mathematics, University of Toronto, Toronto, ON 2017 Advisor: Prof. Yael Karshon Thesis: On the topology of collective integrable systems
- MSc, Mathematics, University of Toronto, Toronto, ON 2013
- BSc Honours, Mathematics (High Honours), University of Regina, Regina, SK 2012
Papers
Industry research
Peer-reviewed internal Amazon conferences; not publicly available.
- Ground Truth FARM: Cultivating causal effects with foundational advertising and retail models (best paper) K. Lensink, J. Lane, G. Herman, R. Lewis · Amazon Economics Summit, 2025
- Modeled Brand Lift: Scaling brand awareness measurement with predictive modeling K. Lensink, Y. Zhao, J. Marrone, J. Lane, D. Proserpio, G. Herman · Amazon Machine Learning Conference, 2024
Mathematics
- The topology of Gelfand–Zeitlin fibers J. Carlson, J. Lane · Transactions of the AMS, 2026
- Stratified gradient Hamiltonian vector fields and collective integrable systems B. Hoffman, J. Lane · Journal of the European Mathematical Society, 2025
- Action-angle coordinates on coadjoint orbits and multiplicity free spaces from partial tropicalization A. Alekseev, B. Hoffman, J. Lane, Y. Li · Advances in Mathematics, 2023
- A local normal form for Hamiltonian actions of compact semisimple Poisson–Lie groups M. Harada, J. Lane, A. Patterson · Involve, 2022
- Local normal forms for multiplicity free U(n) actions on coadjoint orbits J. Lane · Pacific Journal of Mathematics, 2020
- Concentration of symplectic volumes on Poisson homogeneous spaces A. Alekseev, B. Hoffman, J. Lane, Y. Li · Journal of Symplectic Geometry, 2020
- The geometric structure of symplectic contraction J. Lane · International Mathematics Research Notices, 2020
- The U(n) Gelfand–Zeitlin system as a tropical limit of Ginzburg–Weinstein diffeomorphisms A. Alekseev, J. Lane, Y. Li · Philosophical Transactions of the Royal Society A, 2018
- Convexity and Thimm’s trick J. Lane · Transformation Groups, 2018
- An example using improved Lefschetz duality P. Lambrechts, J. Lane, D. Stanley · Chinese Annals of Mathematics, Series B, 2017
- Topological monodromy of an integrable Heisenberg spin chain J. Lane · SIGMA, 2015
Honors and Awards
- 2025 Best Paper Award, Amazon Economics Summit
- 2020 Fields Postdoctoral Fellowship, Fields Institute and McMaster University
- 2017 Malcolm Slingsby Robertson Award for Mathematics, University of Toronto
- 2014 – 2017 NSERC Postgraduate Scholarship, Doctoral
- 2013 – 2014 Ontario Graduate Scholarship
- 2012 – 2013 NSERC Alexander Graham Bell Canada Graduate Scholarship, Master’s
- 2012 Mary H. Beatty Scholarship in Mathematics, University of Regina
- 2011 NSERC Undergraduate Student Research Award
- 2011 Kornelius G. Toews Award in Mathematics, University of Regina
Selected Invited Presentations
2021
- Minicourse on Gelfand–Tsetlin Systems and Poisson–Lie Groups, NRU HSE Moscow
- Canadian Mathematical Society Summer Meeting, Online
- Edinburgh Geometry (EDGE) Seminar, Hodge Institute, University of Edinburgh
2020
- Topology and Geometry Seminar, Imperial College London
- Symplectic and Poisson Geometry Seminar, University of Illinois at Urbana-Champaign
- Symplectic Joint Seminar in Rio, IMPA, UFRJ, UFF and PUC-Rio
- Algebraic Topology Seminar, Princeton University
- Workshop on Torus Actions in Topology, The Fields Institute
- Gone Fishing Meeting on Poisson Geometry, Georgia Southern University
- Lie Groups Seminar, Cornell University
- Geometry, Physics, and Representation Theory Seminar, Northeastern University
- Geometry and Physics Seminar, Center of Mathematical Sciences and Applications, Harvard University
- Toric Topology Research Seminar, The Fields Institute
2019
- Finite Dimensional Systems in Geometry and Mathematical Physics, Shanghai Jiao Tong University
- Canadian Mathematical Society Summer Meeting, Regina, SK
2018
- Workshop on Cluster Algebras, Crystal Bases, and Poisson Geometry, University of Hong Kong
- Geometric Aspects of Momentum Maps and Integrability, Ascona, Switzerland
- Algebraic Structures in Topology and Geometry, Riederalp, Switzerland
- Symplectic Seminar, Centre Interuniversitaire de Recherches en Géométrie et Topologie, Montréal
- Symplectic Geometry Seminar, University of Toronto
- Interactions between Symplectic Geometry, Combinatorics, and Number Theory, University of Cologne
2016
- Canadian Mathematical Society Winter Meeting, Niagara Falls, ON
- Integrable Systems, Ascona, Switzerland
- Topology Seminar, Cornell University
2015
- Canadian Mathematical Society Winter Meeting, Montréal, QC
- Workshop on Recent Developments in the Geometry and Combinatorics of Hessenberg Varieties, The Fields Institute
2014
- Canadian Mathematical Society Winter Meeting, Hamilton, ON
Leadership and Volunteer Work
- Undergraduate Research Supervisor, McMaster University 2020 – 2021
- Supervised a summer research project that resulted in a publication
- Workshop Organizer, The Fields Institute 2020
- Organized an online international research workshop with 24 speakers and more than 200 registered participants
- Put together in two months in response to conference cancellations at the start of the COVID-19 pandemic, with support from the Fields Institute
- Seminar Organizer, University of Toronto, University of Geneva, and The Fields Institute 2015 – 2020
- Chaired and organized research seminars
- Session Leader, Canada Math Camp, University of Toronto 2015, 2016
- Led learning sessions for high school students
- Volunteer and Executive Member, Engineers Without Borders Canada, University of Regina chapter 2009 – 2012
Teaching
McMaster University
- Calculus I and II
- Advanced Calculus II
- Introduction to Mathematical Reasoning
- Undergraduate Combinatorics
- Undergraduate Graph Theory
University of Geneva
- Complex Analysis
- General Mathematics
- Scientific Programming
University of Toronto
- Linear Algebra I
- Calculus I