Prof. Kevin McGerty
PhD
Status
Academic Faculty
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted publications
Kirwan surjectivity for quiver varieties
Mcgerty, K Nevins, T Inventiones Mathematicae volume 212 issue 1 161-187 (09 Nov 2017) Derived equivalence for quantum symplectic resolutions
McGerty, K Nevins, T (31 Aug 2011) http://arxiv.org/abs/1108.6267v3 On the geometric realization of the inner product and canonical basis
for quantum affine $\mathfrak{sl}_n$
McGerty, K Algebra and Number Theory volume 6 issue 6 1097-1131 (28 Sep 2010) http://arxiv.org/abs/1009.5411v1 for quantum affine $\mathfrak{sl}_n$
Teaching
Tutor in Pure Mathematics, Christ Church
Recent publications
The pure cohomology of multiplicative quiver varieties
McGerty, K Nevins, T Selecta Mathematica volume 27 issue 2021 (13 Jan 2021) Counterexamples to hyperkahler Kirwan surjectivity
McGerty, K Nevins, T (26 Apr 2019) http://arxiv.org/abs/1904.12003v1 Springer theory for symplectic Galois groups
McGerty, K Nevins, T (23 Apr 2019) http://arxiv.org/abs/1904.10497v1 Morse decomposition for D-module categories on stacks
McGerty, K Nevins, T (01 Jan 2017) Derived equivalence for quantum symplectic resolutions
McGerty, K Nevins, T Selecta Mathematica, New Series volume 20 issue 2 675-717 (01 Apr 2014) Research interests
Geometric representation theory: quantum groups, algebraic groups, topology of singular varieties, D-modules.