Lecturer 
Office: Western Gateway Building 146 
Winter 2018

MA3052 Rings and
Fields

MS2005/MS6005
Discrete Mathematics

·
Intermediate moduli spaces of stable maps (with Andrei
Mustata), Invent.
Math. 167(2007), no. 1, 47–90.
· The Chow ring of ), (with Andrei Mustata), J. Reine Angew. Math. 615 (2008), 93–119.
·
Tautological rings of stable map
spaces (with Andrei Mustata), Adv.
Math. 217 (2008), no.
4,1728–1755
·
Universal relations on stable map spaces in genus zero,
(with Andrei Mustata), Trans.
Amer. Math. Soc. 362 (2010), no. 4,
1699–1720
· A
Hilbert space analogue of Heron's reflection principle, (with Finbarr Holland)
Irish
Math. Soc. Bull. No.
67 (2011), 57–65.
· The structure of a local embedding and Chern classes of weighted blowups, (with Andrei Mustata), J. Eur. Math. Soc. (JEMS) 14 (2012), no. 6, 1739–1794
·
Degree 1 curves in the Dwork
pencil and the mirror quintic, Math.
Ann. 355 (2013), no.
1, 97–130
·
The universal etale
lift of a proper local embedding (with Andrei Mustata) arXiv
· GromovWitten invariants for
varieties with action (with Andrei Mustata) arxiv
· A
note on higher degree curves in the Dwork pencil,
preprint
·
Stable map spaces for projective bundles and GromovWitten theory, with Andrei Mustata, in preparation
Outreach: UCC Mathematics Enrichment
Programme and Maths Circles Ireland