**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)

- 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. Preprint (2017). 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.

- 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.

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