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 Vrije Universiteit Brussel in Brussels, Belgium, working with Prof. Philippe Cara.
I previously worked as a postdoc at Università degli Studi di Padova, in the Department of Management and Engineering, based in Vicenza, where I worked with Prof. Corrado Zanella and Prof. Michel Lavrauw..
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.
Contact details:
Vrije Universiteit Brussel
Pleinlaan 2
B-1050 Brussel
tel.: ...I hate the telephone...
email: {myfullname} at gmail
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.
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Preprints will be available when I get around to it. So, probably, like, never. Till then, google it, or contact me.
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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
I have also collaborated with my brother Dr. Daithí Mac Síthigh on an editorial regarding issues of open access publishing in academia:
- All That Glitters Is Not Gold, But Is It Diamond?,
with Daithí Mac Síthigh, (2012) 9:3 SCRIPTed 274. article
in preparation
Ah now I can't be giving away my secrets...
ok then, since you asked nicely:
Orbits of the stabiliser group of the Segre variety product of three projective lines,
with Michel Lavrauw, submitted. preprint
Constant rank-distance sets of hermitian matrices and partial spreads in hermitian polar spaces, with Rod Gow and Michel Lavrauw, submitted. preprint
On embeddings of minimum dimension of PG(n,q)xPG(n,q), with Michel Lavrauw and Corrado Zanella, submitted. preprint
Counting symmetric nilpotent matrices, with A.E. Brouwer and Rod Gow, in preparation. website
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Forthcoming conferences
Recent conferences
- Conference on finite geometries in honour of Frank De Clerck, Ferrara, September 17-18, 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
- Conference in honour of Dieter Jungnickel's 60th birthday, Magdeburg, March 23-24, 2012
- Giornate di Geometria, Vicenza, February 13-14, 2012
- Colloquium on Galois geometry, Ghent, December 2, 2011
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10th International Conference on Finite Fields and their Applications, Ghent, Belgium, July 10-15, 2011
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Finite Geometries, Third Irsee Conference, Irsee, Germany, June 19-25, 2011
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Here will be a selection of recent talks I have given... once I get around to uploading them...
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