Dr Fionntan Roukema

School of Mathematical and Physical Sciences

Teaching Fellow

f.roukema@sheffield.ac.uk
+44 114 222 3872

K09, Hicks Building

Full contact details

Dr Fionntan Roukema
School of Mathematical and Physical Sciences
K09
Hicks Building
Hounsfield Road
Sheffield
S3 7RH

Research interests: Low dimensional topology, Dehn surgery, knot theory, with growing interests in mathematical history and pedagogy

Publications

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Featured publications

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Roukema FWM (2019) Exceptional slopes on manifolds of small complexity. Communications in Analysis and Geometry, 27(5), 1105-1161.
Audoux B, Lecuona A & Roukema F (2018) On hyperbolic knots in S3 with exceptional surgeries at maximal distance. Algebraic & Geometric Topology, 18(4), 2371-2417.
Martelli B, Petronio C & Roukema F (2014) Exceptional Dehn surgery on the minimally twisted five-chain link. Communications in Analysis and Geometry, 22(4), 689-735.
Bar-Natan D, Halacheva I, Leung L & Roukema F (2011) Some dimensions of spaces of finite type invariants of virtual knots. Experimental Mathematics, 20(3), 282-287.

Roukema F (2007) Goussarov-Polyak-Viro combinatorial formulas for finite type invariants.

Teaching activities

MAS31004	Skills Development in Mathematics and Statistics
MAS344	Knots and Surfaces
MAS107	Foundations of Pure Mathematics