# Simeon Ball

#### Departament de Matemàtica Aplicada IV

Universitat Politècnica de Catalunya

Escola d'Enginyeria de Telecomunicacio i Aerospacial de Castelldefels

Campus de Baix Llobregat

Avinguda del Canal Olimpic, 15

08860 Castelldefels

Espanya

##### Tel: +34.93.413.41.03 / Fax: +34.93.401.59.81

#### An HTML version of my Curriculum
Vitae is available. It is possible to view articles from the
list of publications.

My research interests include incidence geometries, codes, semifields and graphs and generally involve applying linear algebra methods to these combinatorial objects.

The following pdf files are edited from recent talks on

the maximum wieght of a linear code (pdf),
an alternative way to generalise the pentagon (pdf),

complete bipartite Turan numbers (pdf),
the MDS conjecture for linear codes (pdf),

Jaeger's conjecture on nowhere zero points for linear maps (pdf), and
functions over prime fields that do not determine all directions (pdf).

A proof of the MDS conjecture over prime fields (that linear maximum distance separable codes of dimension at most *p* have length at most *p*+1, where *p* is the number of elements in the field) is contained in this article.
Here is a video of me trying to convince the participants of a BIRS (Banff International Research Station) workshop that it is a generalisation of Segre's ''arc is a conic'' theorem, the original proof of which is available here. Alternatively, here is another video of a similar talk, but with a more coding theory bias, from the 3rd International Castle Meeting on Coding Theory and Applications, held in Cardona in September 2011.

I have compiled a table of the maximum lengths of three-dimensional linear codes, where the difference between the length and minimum distance is fixed. There is also a short background on codes and *(n,r)* arcs and a question relating to the attainability of the Griesmer bound.

I am on the editorial board of
Designs, Codes and Cryptography,
Finite Fields and their Applications and
Journal of Geometry.

A quote from Lockhart's Lament "The mathematics curriculum doesn't need to be reformed, it needs to be scrapped". Read it to find out what it should be replaced by.

##### There are notes available for the courses

*An introduction to finite geometry* in
pdf
format (65 pages),

co-authored with Zsuzsa Weiner.

This is the third edition updated September 2011.

*Lacunary polynomials over finite fields* in
dvi,
ps or
pdf
format (12 pages).

##### Stuff to do in Barcelona

#### Lunch at Mamá café

Piano classes with Victoria (currently in Madrid)

Tango classes with Martin and Andrea.

Updated 14 December 2012