**Rory B. B. Lucyshyn-Wright**

Atlantic Association for Research in the Mathematical Sciences (AARMS) Postdoctoral Fellow

Department of Mathematics and Computer Science

Mount Allison University

Sackville, New Brunswick, Canada

- On the geometric notion of connection and its expression in tangent categories. Preprint. arXiv:1705.10857
- Measure and distribution monads in categorical functional analysis, I: The functional distribution monad. Preprint. arXiv:1701.08152
- A simplicial foundation for de Rham cohomology in tangent categories (with G. S. H. Cruttwell). Preprint. arXiv:1606.09080
- Commutants for enriched algebraic theories and monads. Preprint. arXiv:1604.08569
- Convex spaces, affine spaces, and commutants for algebraic theories.
*Applied Categorical Structures*(2017, in press). arXiv:1603.03351 - 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.