Peter Nelson

Office: CO 429

School of Mathematics, Statistics and Operations Research
Victoria University of Wellington
PO box 600
Wellington 6140
New Zealand

I am a Postdoctoral Fellow at the School of Mathematics, Statistics and Operations Research at the Victoria University of Wellington in New Zealand, working with Geoff Whittle.

My doctorate is from the University of Waterloo in Canada, under Jim Geelen, and my undergraduate degree was a BSc(Hons) in mathematics at the University of Auckland.

My research interests are mainly in structural and extremal matroid theory. My PhD thesis deals with extremal problems relating to excluding a uniform matroid as a minor. Here is my CV and my papers - some are preprints:

Sequential automatic algebras
CiE (2008), 84-93. With Michael Brough and Bakhadayr Khoussainov.

The number of points in a matroid with no n-point line as a minor
JCTb 100 (2010), 625-630. With Jim Geelen.

Growth rate functions of dense classes of representable matroids
JCTb 103 (2013), 75-92.

On minor-closed classes of matroids with exponential growth rate
Adv. Appl. Math. 50 (2013), 142-154. With Jim Geelen.

The number of rank-k flats in a matroid with no U_{2,n}-minor
JCTb, to appear

An analogue of the Erdős-Stone theorem for finite geometries
Combinatorica, to appear. With Jim Geelen.

The number of lines in a matroid with no U_{2,n}-minor
European J. Combin., to appear. With Jim Geelen

A density Hales-Jewett theorem for matroids
JCTb, to appear. With Jim Geelen.

Projective geometries in exponentially dense matroids, I
Submitted. With Jim Geelen.

Projective geometries in exponentially dense matroids, II
Submitted.

Linkages in a directed graph with parity restrictions
Submitted. With Rutger Campbell.

Matroids representable over fields with a common subfield
Submitted. With Stefan van Zwam.

Odd circuits in dense binary matroids
Submitted. With Jim Geelen