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<HTML>
<HEAD>
<TITLE>4ti2 -- A software package for algebraic, geometric and combinatorial problems
on linear spaces</TITLE>
</HEAD>
<BODY bgcolor = white>
<center>
<table border=0 width=90% cellspacing=5 cellpadding=5>
<tr>
<th>
<font size=6>Contributors to 4ti2</font>
</th>
</tr>
</table>
</center>
<ul>
<li>
<figure style="float: right; width: 30%; text-align: center;
font-style: italic;
text-indent: 0; border: thin silver solid; margin:
0.5em; padding: 0.5em;">
<img src="hemmecke-mkoeppe-2009.jpg" width="100%" alt="Raymond Hemmecke, Matthias Köppe">
<figcaption>
Raymond Hemmecke, Matthias Köppe in Davis (2009)
</figcaption>
</figure>
<strong>Raymond Hemmecke</strong>,
<a href="http://www.heureka-solutions.com/" target=_blank>Heureka
Solutions, Munich</a>
<p> Project initiator.
<p>Developed the first versions of <code>hilbert</code>, <code>graver</code> for his
<a href="http://duepublico.uni-duisburg-essen.de/servlets/DerivateServlet/Derivate-5141/index.html">Ph.D. work
at the University of Duisburg</a>, completed in 2001. The code is referred to
under the name MLP (for "minimal lattice points");
later it was renamed to 4ti2.
<p>Continued the work on 4ti2 while at UC Davis.
<p>Continued to maintain the project while at the University of
Magdeburg, TU Darmstadt, and TU Munich.
</li>
<li> <strong>Ralf Hemmecke</strong>, RISC, University of Linz,
Austria
<p> Credited as coauthor for early 4ti2 code, some of which is
still part of 4ti2 in <code>src/util</code>
</li>
<li> <strong><a href="https://www.math.ucdavis.edu/~mkoeppe/" target=_blank>Matthias
Köppe</a></strong>, UC Davis, CA, USA
<p>Wrote <code>ppi</code> (1998) while at the University of Magdeburg, which was later
included in 4ti2.
<p>Updated the build system.
<p><strong>Current de facto maintainer;</strong>
contact: <a href="mailto:[email protected]">[email protected]</a>
</li>
<li> <strong>Peter Malkin</strong>
<p>Developed the current version
of <code>groebner</code>, <code>qsolve</code>, etc.,
while at CORE, UC Louvain, Belgium and at UC Davis, CA, USA.
<p>Developed the C API of 4ti2.
<li> <strong>Matthias Walter</strong>, University of Magdeburg,
Germany
<p>Wrote the current version of <code>zsolve</code>,
including <code>hilbert</code>, <code>graver</code>.
</ul>
</BODY>