Projects per year
Personal profile
Research interests
Pure Mathematics: Higher Category Theory, Homotopy Theory, Algebraic Topology, Bicategories and 2Categories, Quasicategories and Complicial Sets, Applications to Mathematical Physics and Computer Science.
Computer Science: Programming Languages, Type Systems, Dependent Type Theory, Homotopy Type Theory, Formal Verification of Software Systems.
Biography
Dominic Verity started his computational career in the early 1980s as a software developer for the influential British personal computing pioneer Acorn Computers; the company which created the BBC Microcomputer and ultimately invented the ubiquitous ARM microprocessor. He went on from there to work for the BBC World Service, where he was involved in designing and developing microcomputer technologies for application in radio production departments.
He studied as both an undergraduate and postgraduate at the University of Cambridge (UK) and emerged from that institution in 1992 with a PhD in Mathematics. From 19942000 he worked in the investment banking industry, as a mathematical consultant in derivative securities valuation and hedging, as a quantitative analyst in equity derivatives for Deutsche Bank Australia and as the Head of Equity Derivatives Trading for HSBC Australia.
He returned to academe in late 2000, and since then he has worked as a mathematician and computer scientist at Macquarie University. His research interests lie in the mathematical fields of Homotopy Theory, sometimes known as “rubber sheet geometry”, Algebraic Topology and Category Theory, a kind of “theory of everything” for pure mathematics. He is also active in exploring applications of this work to the Computer Science of Programming Languages. His most cited paper introduced “Traced Monoidal Categories”, structures that have become a key component in modern accounts of iterative processes in traditional and quantum computation. In recent years, he has held visiting Professorship positions at Harvard University, John’s Hopkins University, the Max Planck Institute for Mathematics, and the University of Cambridge.
Professor Verity is a passionate and engaging teacher of Computer Science and in 2008 his contributions in this area were recognised by the award of a Macquarie University ViceChancellor's Award for Teaching Excellence. In 2011 he gained national recognition for his work as an educator with the award of an Australian Learning and Teaching Council Citation for Outstanding Contribution to Student Learning “For a decade of inspirational and innovative educational leadership in the field of information technology”.
Over the past decade, Professor Verity has been highly active in academic leadership roles at the Department, Faculty and University levels. Most recently he led Macquarie’s academic governance as Chair of it’s Academic Senate, the “principal academic body in the University”.
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Collaborations and top research areas from the last five years

Centre of Australian Category Theory (CoACT)
Lack, S., Verity, D., Street, R., Chikhladze, D., Cohen, J., Corbett, J., Davydov, A., Flax, L., Kennett, C., Paoli, S., Palm, T., Pastro, C., Weber, M., Valckenborgh, F., Batanin, M. & Johnson, M.
1/01/09 → …
Project: Research

Working synthetically in higher categorical structures
Lack, S., Verity, D., Garner, R. & Street, R.
19/06/19 → 18/06/22
Project: Other

Monoidal categories and beyond: new contexts and new applications
Street, R., Verity, D., Lack, S., Garner, R. & MQRES Inter Tuition Fee only, M. I. T. F. O.
30/06/16 → 17/06/19
Project: Research

Transforming exams across Australia: processes and platform for eexams in high stakes, supervised environments
Hillier, M., Fluck, A., Cowling, M., Howah, K., Bower, M., Blackmore, K., Newhouse, P., Verity, D., Baird, M., Grant, S., Leitch, S., Geer, R. & White, B.
1/01/16 → 1/05/19
Project: Research

Structural homotopy theory: a categorytheoretic study
Street, R., Lack, S., Verity, D., Garner, R., MQRES, M., MQRES 3 (International), M. 3., MQRES 4 (International), M. & MQRES (International), M.
1/01/13 → 31/12/16
Project: Research

Elements of ∞category theory
Riehl, E. & Verity, D., 2022, Cambridge: Cambridge University Press (CUP). 760 p. (Cambridge studies in advanced mathematics; vol. 194)Research output: Book/Report › Book › peerreview

Infinity category theory from scratch
Riehl, E. & Verity, D., 2020, In: Higher Structures. 4, 1, p. 115167 53 p.Research output: Contribution to journal › Article › peerreview
Open AccessFile106 Downloads (Pure) 
On the construction of limits and colimits in ∞categories
Riehl, E. & Verity, D., 2020, In: Theory and Applications of Categories. 35, 30, p. 11011158 58 p.Research output: Contribution to journal › Article › peerreview
Open Access1 Citation (Scopus) 
Recognizing quasicategorical limits and colimits in homotopy coherent nerves
Riehl, E. & Verity, D., Aug 2020, In: Applied Categorical Structures. 28, 4, p. 669716 48 p.Research output: Contribution to journal › Article › peerreview
3 Citations (Scopus) 
The comprehension construction
Riehl, E. & Verity, D., 2018, In: Higher Structures. 2, 1, p. 116190 75 p.Research output: Contribution to journal › Article › peerreview
Open AccessFile40 Downloads (Pure)