Working Papers
- The Equilibrium Existence Duality: Equilibrium with Indivisibilities & Income Effects.
- With Omer Edhan, Ravi Jagadeesan, Paul Klemperer and Alex Teytelboym
- Strong Substitutes: Structural Properties, and a New Algorithm for Competitive Equilibrium Prices.
- With Martin Bichler, Maximilian Fichtl and Paul Klemperer
- Solving Strong-Substitutes Product-Mix Auctions.
- With Paul Goldberg, Paul Klemperer and Edwin Lock
- Proof that the Strong Substitutes Product-Mix Auction Bidding Language can represent any Strong Substitutes preferences
- With Paul Klemperer
- Choosing in the Dark: Incomplete Preferences, and Climate Policy.
- Tropical geometry to analyse demand.
- With Paul Klemperer.
- July 2014 draft (prelimilary draft 2012).
- Note: Some parts of this paper have been superceeded by "Understanding Preferences: "Demand Types", and the Existence of Equilibrium with Indivisibilities", see below.
Work in Progress
- Implementing Walrasian Equilibrium: the Language of Product-Mix Auctions
- With Paul Klemperer.
- Substitute indivisible goods, competitive equilibrium, and Vickrey outcomes
- With Paul Klemperer and Paul Milgrom.
- "Demand Types", and Stable Multi-Agent Matching.
- With Paul Klemperer.
- “Demand types”, and comparative statics with indivisibilities.
- With Paul Klemperer.
Publications
- Understanding Preferences: "Demand Types", and
the Existence of Equilibrium with Indivisibilities.
- With Paul Klemperer.
- Econometrica, Volume 87, Number 3 (May, 2019) Pages 867-932.
- DOI:10.3982/ECTA13693
- To Build or Not to Build? Capital Stocks and Climate Policy.
- With Yongyang Cai and Karlygash Kuralbayeva.
- Journal of Environmental Economics and Management, 2020, Volume 100, 102235
- DOI:10.1016/j.jeem.2019.05.001
- Spatial development of hydrogen economy in a low-carbon UK energy system.
- With Nazmiye Balta-Ozkan.
- International Journal of Hydrogen Energy, Volume 38, Issue 3, Pages 1209–1224, 2013.
- DOI:10.1016/j.ijhydene.2012.11.049
- Thinking Through the Climate Change Challenge.
- 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.
- In Climate Change and Common Sense: Essays in Honour of Tom Schelling, R. Hahn and A. Ulph, eds., Oxford University Press, 2012.
- DOI:10.1093/acprof:oso/9780199692873.003.0001
- A GIT construction of moduli spaces of stable maps in positive characteristic.
- Journal of the London Mathematical Society, Volume 78, no. 1, 2008. 18 pages
- DOI:10.1112/jlms/jdn014
- A geometric invariant theory construction of moduli spaces of stable maps.
- With David Swinarski.
- International Mathematics Research Papers, 2008, no. 1. 104 pages.
- DOI:10.1093/imrp/rpn004
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.