## Research Papers

### Working Papers

- "Understanding Preferences: "Demand Types", and
the Existence of Equilibrium with Indivisibilities". Preliminary draft, 2016 (with Paul Klemperer).
*Revise and resubmit, Econometrica.*- Supplementary Work: "A unimodular demand type which is not a basis change of substitutes" Matlab file, July 2015. By Timothy O'Connor.

- "Tropical geometry to analyse demand". Preliminary draft, 2012 (this version 2014; with Paul Klemperer). Some of this paper has been superceeded by "Understanding Preferences: "Demand Types", and the Existence of Equilibrium with Indivisibilities", above.

### Work in Progress

- "Choosing in the Dark: Incomplete Preferences, and Climate Policy".
- "Build Now, Regret Later? Infrastructure and Climate Policy" (with Yongyang Cai and Karlygash Kuralbayeva).
- "Substitute indivisible goods, competitive equilibrium, and Vickrey outcomes" (with Paul Klemperer and Paul Milgrom).
- "'Demand Types', and Stable Multi-Agent Matching" (with Paul Klemperer).
- "Implementing the multi-dimensional product-mix auction" (with Paul Klemperer).

### Publications

- "Spatial development of hydrogen economy in a low-carbon UK energy system"
*International Journal of Hydrogen Energy*, Volume 38, Issue 3, Pages 1209–1224, 2013 (with Nazmiye Balta-Ozkan).

Bibtex citation. - "Thinking Through the Climate Change Challenge" In
*Climate Change and Common Sense: Essays in Honour of Tom Schelling*, R. Hahn and A. Ulph, eds., Oxford University Press, 2012. (with R. Hahn, D. Anthoff, L. Cohen, D. Coyle, P. Dasgupta, S. Dietz, D. Frame, G. Heal, C. Hepburn, M. Hoel, C. Kolstad, A. Lange, R. Mendelsohn, K. Nyborg, I. Parry, P. Passell, K. Richards, R. Ritz, T. Schelling, M. Tavoni, A. Ulph, H. Vollebergh, A. Xepapadeas, S. Barrett and J. Hammitt).

Bibtex citation. - "A geometric invariant theory construction of moduli spaces of stable maps". 104 pages,
*International Mathematics Research Papers*, 2008, no. 1, (with David Swinarski).

Bibtex citation. - "A GIT construction of moduli spaces of stable maps in positive characteristic". 18 pages,
*Journal of the London Mathematical Society*, Volume 78, no. 1, 2008.

Bibtex citation.

If you're interested in my research in geometric invariant theory and the moduli spaces of stable maps, I recommend starting with Ian Morrison's survey article, "GIT Constructions of Moduli Spaces of Stable Curves and Maps", which contains a section on these methods and puts them into context.