Rory B. B. Lucyshyn-Wright

Assistant Professor
Department of Mathematics and Computer Science
Brandon University
Brandon, Manitoba, Canada

Assistant Professor (limited term), Mount Allison University (2017-2018)
AARMS Postdoctoral Fellow, Mount Allison University (2015-2017)
NSERC Postdoctoral Fellow, University of Cambridge (2014-2015), University of Ottawa (2013-2014)

Publications and preprints

• Affine geometric spaces in tangent categories (with R. F. Blute and G. S. H. Cruttwell). Preprint (2018). arXiv:1807.09554
• A simplicial foundation for differential and sector forms in tangent categories (with G. S. H. Cruttwell). Journal of Homotopy and Related Structures (2018). arXiv:1606.09080
• Commutants for enriched algebraic theories and monads. Applied Categorical Structures 26 (2018), 559-596. arXiv:1604.08569
• Convex spaces, affine spaces, and commutants for algebraic theories. Applied Categorical Structures 26 (2018), 369-400. arXiv:1603.03351
• On the geometric notion of connection and its expression in tangent categories. Theory and Applications of Categories 33 (2018), 832-866. arXiv:1705.10857
• Functional distribution monads in functional-analytic contexts. Advances in Mathematics 322 (2017), 806-860. arXiv:1701.08152
• Enriched algebraic theories and monads for a system of arities. Theory and Applications of Categories 31 (2016), 101-137. arXiv:1511.02920
• Relative symmetric monoidal closed categories I: Autoenrichment and change of base. Theory and Applications of Categories 31 (2016), 138-174. arXiv:1507.02220
• Derivations in codifferential categories (with R. Blute and K. O'Neill). Cahiers de Topologie et Géométrie Différentielle Catégoriques LVII (2016), 243-280. arXiv:1505.00220
• Completion, closure, and density relative to a monad, with examples in functional analysis and sheaf theory. Theory and Applications of Categories 29 (2014), 896-928. arXiv:1406.2361
• Enriched factorization systems. Theory and Applications of Categories 29 (2014), 475-495. arXiv:1401.0315
• A general Fubini theorem for the Riesz paradigm. Preprint. arXiv:1210.4542
• Algebraic theory of vector-valued integration. Advances in Mathematics 230 (2012), 552-576. arXiv:1108.2913
• Totally distributive toposes. Journal of Pure and Applied Algebra 216 (2012), 2425-2431. arXiv:1108.4032
• Domains occur among spaces as strict algebras among lax. Mathematical Structures in Computer Science 21 (2011), 647-670.
• Kleisli Monoids (with D. Hofmann, R. Lowen, G.J. Seal). In: D. Hofmann, G.J. Seal, W. Tholen (Eds.), Monoidal Topology, Cambridge University Press, 2014.

PhD thesis

• Riesz-Schwartz extensive quantities and vector-valued integration in closed categories
  
  • Defended June 18, 2013, York University, Canada.
  • Supervisor: Walter Tholen, External examiner: F. William Lawvere.

Teaching

Mount Allison University

• Complex Variables, Winter 2018
• Numerical Analysis, Winter 2018
• Calculus I, Sections A and B, Fall 2017
• Real Analysis I, Fall 2016
• Calculus I, Fall 2015

• Category Theory, Master's (Part III) course, Fall 2014

• Introduction to Mathematical Logic, Winter 2014

• Integral Calculus with Applications, Fall 2012