John Sheekey's Home Page


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`info`

So this is my new website. Even more rubbish than the old one.
I'll get round to improving it at some point. But at least my thesis is here now.

I'm currently working as a postdoctoral researcher in Mathematics at Università degli Studi di Padova , in the Department of Management and Engineering (!), based in Vicenza. I am a member of the Finite Geometry group, comprising Prof. Corrado Zanella , Prof. Michel Lavrauw , and myself.

I studied for my Ph.D. at the Claude Shannon Institute in University College Dublin , Ireland, from 2007-2011, under the supervision of Prof. Rod Gow . I defended my thesis in November 2011.

Non parlo Italiano. Quando avró imparato, tradurrò questa pagina.

Contact details:

Università degli Studi di Padova
Dipartimento di Tecnica e Gestione dei Sistemi Industriali
Stradella S. Nicola, 3
I-36100 Vicenza
Italy
tel.: ...i'll have to check...
email: {myfullname} at gmail

`research`

My research interests are wide and varied, which is a nice way of saying "I don't know what my research interests are". Linear algebra over finite fields, finite semifields, partial spreads in hermitian spaces... anything to do with rank properties of matrices over finite fields. Hence the title of my thesis. I'm slowly drifting towards Projective Geometry, despite my efforts to avoid it. It's not so bad once you get to know it. Just like myself.

`publications`

Preprints will be available when I get around to it. So, probably, like, never. Till then, google it, or contact me.

PhD thesis

On Rank Problems for Subspaces of Matrices over Finite Fields pdf

research articles

Subspaces of matrices with special rank properties, with Jean-Guillaume Dumas, Rod Gow and Gary McGuire, Linear Algebra and its Applications 433 (2010), Issue 1, 191--202. link
On primitive elements in finite semifields of prime degree, with Rod Gow, Finite Fields and their Applications 17 (2011), Issue 2, 194--204. link
On the maximal cross-correlation of algebraically constructed Costas arrays, with Konstantinos Drakakis, Rod Gow, Scott Rickard and Ken Taylor, IEEE Transactions on Information Theory 57 (2011), Issue 7, 4612--4621. link
Rank properties of subspaces of symmetric and hermitian matrices over finite fields, with Jean-Guillaume Dumas, Rod Gow, Finite Fields and their Applications 17 (2011), Issue 6, 504--520. link
Semifields from Skew Polynomial Rings, with Michel Lavrauw, Advances in Geometrys to appear. preprint

in preparation

Ah now I can't be giving away my secrets...

`conferences`

Forthcoming conferences

Conference in honour of Dieter Jungnickel's 60th birthday, Magdeburg, March 23-24, 2012
RICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials, St. Wolfgang, September 2-7, 2012
Combinatorics 2012, Perugia, September 9-15, 2012

Recent conferences

Giornate di Geometria, Vicenza, February 13-14, 2012
Colloquium on Galois geometry, Ghent, December 2, 2011
10th International Conference on Finite Fields and their Applications, Ghent, Belgium, July 10-15, 2011
Finite Geometries, Third Irsee Conference, Irsee, Germany, June 19-25, 2011

`talks`

Here is a selection of recent talks I have given.

other stuff to follow... back to top

`personal`

This is a photo taken one of the only two times I've ever worn a suit.
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