Lecturer at Xi'an Jiaotong Liverpool University since February 2017.
Qualifications
Ph.D. , University of Manchester, - 2013
M.Sc , University of Warwick, - 2009
Experience
Postdoctoral Fellow, Fudan University - 2015 to 2017
EPSRC Postdoctoral Prize Fellow, University of Manchester - 2013 to 2015
Research interests
Algebraic topology, equivariant topology, cluster algebras and orbifolds.
Articles
Alastair Darby, Shintaro Kuroki and Jongbaek Song, 'Equivariant Cohomology of Torus Orbifolds', Canadian Journal of Mathematics, to appear.
Alastair Darby, Shintaro Kuroki and Jongbaek Song, 'Torus Orbifolds with Two Fixed Points', Algebraic Topology and Related Topics, Trends in Mathematics, p. 67-85, 2019.
Alastair Darby, 'Torus Manifolds in Equivariant Complex Bordism', Topology and its Applications, vol. 189, p. 31-64, 2015.
Books, monographs, compilations and manuals
Alastair Darby, Jelena Grbic, Zhi Lu and Jie Wu, 'Combinatorial and Toric Homotopy', World Scientific, 2017.
Conference presentations
Young Topologists Meeting, 'Quasitoric Manifolds and Complex Cobordism', EPFL, Lausanne, 2011.
British Topology Meeting, 'Torus Manifolds in Equivariant Complex Cobordism', Aberdeen, 2013.
Toric Topology in Osaka, 'Torus Manifolds in Equivariant Complex Bordism', Osaka, 2014.
Topology of Torus Actions and Applications To Geometry and Combinatorics, 'Geometric T^k-Equivariant Complex Bordism', ICM Satellite Conference, Daejeon, 2015.
International Congress of Mathematicians, 'Stunted Weighted Projective Spaces and Thom Modules', Seoul, 2014.
International Chinese-Russian Conference, 'Equivariant Complex Cobordism of GKM-Manifolds', Beijing, 2015.
43rd Symposium on Transformation Groups, 'Algebraic PL-Invariants and Cluster Algebras', Himeji, 2016.
On the Homotopy Theory of Polyhedral Products, 'Cluster Algebras and Algebraic PL-Invariants', Princeton, 2017.
Algebraic and Geometric Topology, 'Equivariant Cohomology of Torus Orbifolds', Tianjing, 2017.
Algebraic Topology, Geometry and Combinatorics of Manifolds, 'The Equivariant Cohomology of Torus Orbifolds', TSIMF, Sanya, 2017.
Glances@Manifolds, 'Equivariant Complex Bordism of GKM-Manifolds', Krakow, 2018.
Grants
Alastair Darby, NSFC International Young Scientists Programme (Grant No. 12050410240), The Development of Complex Orbifold Cobordism, 2020.
Alastair Darby, RDF-17-02-50, “The Development of Geometric and Combinatorial Orbifold Invariants”, 2018.
