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His research interests focuses on game-tree [[Search|search]] and two-player games, including [[Go|computer Go]], [[Monte-Carlo Tree Search|Monte-Carlo tree search]], [[Depth-First|depth-first]] [[Proof-Number Search|proof-number search]] and [[Graph History Interaction|graph history interaction]] (GHI). He worked within the team of [[Jonathan Schaeffer]] on solving [[Checkers]] <ref>[https://webdocs.cs.ualberta.ca/~chinook/authors/ Authors - Chinook - World Man-Machine Checkers Champion]</ref>,

and more recently with [[Ryan Hayward]] on the game of [[Hex]].

=Programs=

Martin Müller is co-author of two successful Go programs. The veteran program [https://www.game-ai-forum.org/icga-tournaments/program.php?id=144 Explorer] was developed along with [[Anders Kierulf]] and [[Keh-Hsun Chen|Ken Chen]] and played eight [[Computer Olympiad|Computer Olympiads]] from 1989 until 2005, two times winning Gold medals. His new program [https://www.game-ai-forum.org/icga-tournaments/program.php?id=535 Fuego] <ref>[http://fuego.sourceforge.net/ Fuego from sourceforge]</ref> , co-authored by [[Markus Enzenberger]], [[Broderick Arneson]], [[Richard Segal]], [[Gerald Tesauro]] and [[Arpad Rimmel]] (since 2010), won the Gold medal at the [[14th Computer Olympiad#Go9x9|14th Computer Olympia in 9x9 Go]], as well the Silver medal in [[14th Computer Olympiad#Go|19x19 Go]]