# Research: Original Scientific Discoveries

Professionally, I am a pure mathematician, working in the *Topology of High-dimensional
Manifolds* (CV/résumé).

I co-organized two past conferences: Nil Phenomena in Topology (2007) and High Dimensional Topology (2012).

**PUBLICATIONS** (original work,
peer-review by anonymous expert, selected by an editor)

* *

*Immediately after each publication number on the left, you will find the 2010 Journal Quality Ranking of the Australian Research
Council:* A* = one of the best in its field or subfield (top 5%) |
A = very high quality (next 15%) | B = solid, though not
outstanding (next 30%) |

C = does not meet the criteria for the higher tiers (bottom 50%)
| N/A = ranking not available because the journal is too new

`MISC `report — *The homotopy type of G/PL and the
characteristic variety theorem*
(with T. Macko),
**Oberwolfach Rep.**, 3(3): 2212–2214, 2006 [ article
]
`02:`**A** *On smoothable surgery for
4-manifolds*
**Algebr. Geom. Topol.**, 7: 2117–2140, 2007 [ article | review ]
`03:`**B** *On fibering and splitting of
5-manifolds over the circle*
**Topology Appl.**, 156(2): 284–299, 2008 [ article | review ]
`04:`**A** *Reduction of UNil for finite
groups with normal abelian Sylow 2-subgroup*
**J. Pure Appl. Algebra**, 213(3): 279–298, 2009 [ article | review ]
`05:`**B** *Calculation of UNil for the
cyclic group of order two*
**Forum Math.**, 22(2): 221–239, 2010 [ article | review ]
`08:`**B** *Homotopy invariance of
4-manifold decompositions: connected sums*
**Topology Appl.**, 159(16): 3432–3444, 2012 [ article | review ]
`09:`**A*** *Topological rigidity and H*_{1}-negative involutions on tori
(with F. Connolly and J.F. Davis), **Geom. Topol.**, 18(3): 1719–1768, 2014 [ article ]
**PREPRINTS** (submitted to editor,
under academic peer-review)

`11` *Free transformations of S*^{1}×S^{n} of prime period
submitted (18 pages @ 02 May 2014) [ preprint ]
**Selection of Open Research Projects** (private manuscript)

`‣ `*Algebraic L-theory over the infinite dihedral group*
(with J.F. Davis), active (since May 2014)
`‣ `*On locally flat actions on manifolds, I: isovariant approximation*
(with F. Connolly), active (since May 2014)
`‣ `*On locally flat actions on manifolds, II: cellular approximation*
(with F. Connolly), in progress (3 pages @ 09 Nov 2013)
`‣ `*Free involutions on the m-torus times the n-sphere*
(with T. Macko), active
(since Jun 2012)
`‣ `*On smoothable surgery for 4-manifolds, II: fundamental groups
with 2-torsion*
(with D. Crowley), suspended (6 pages @ 17 Jul 2011)
`‣ `*Indecomposable modules and NK*_{1} for groups of order pp
in progress (5 pages @ 24 Jan 2013)

**Remnants of Dissertation** (unpublished)

`a `*On cancellation for topological 4-manifolds with infinite fundamental
group*
updated (15 pages @ 11 Sep 2006) [ manuscript
]
`b `*Self-coverings of RP*^{n} # RP^{n} and weak nilpotence of
UNil under transfers
updated (15 pages @ 11 Sep 2006) [ manuscript
]