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 ]

01:A*  Manifolds homotopy equivalent to Pn # Pn (with J. Brookman and J.F. Davis), Math. Annalen, 338(4): 947–962, 2007 [ article | review | typos ]

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 ]

06:B  Dihedral manifold approximate fibrations over the circle (with C.B. Hughes), Geom. Dedicata, 148(1): 205–243, 2010 [ article | review | erratum ]

07:A  Algebraic K-theory over the infinite dihedral group: an algebraic approach (with J.F. Davis and A. Ranicki), Algebr. Geom. Topol., 11(4): 2391–2436, 2011 [ announce | 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 H1-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)

10  Topological rigidity of actions on contractible manifolds with discrete singular set (with F. Connolly and J.F. Davis), submitted (18 pages @ 08 Apr 2014) [ announce | preprint ]

11  Free transformations of S1×Sn 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 NK1 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 RPn # RPn and weak nilpotence of UNil under transfers updated (15 pages @ 11 Sep 2006) [ manuscript ]

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