He was an invited speaker at the 2015 Abel Symposium,[1] and he is a founding member of the Algebras and Rings in Colorado Springs (ARCS) center.[2] Tomforde has researched the related areas of graph C*-algebras and Leavitt path algebras. With Doug Drinen, he is co-creator of the Drinen-Tomforde desingularization, often simply called desingularization.[3] With Gene Abrams, Tomforde has formulated the Abrams-Tomforde conjectures, and Abrams and Tomforde have verified certain special cases of the conjectures.[4] Tomforde studied ultragraph C*-algebras.[5] Tomforde has also been active in organizing several conferences on graph C*-algebras and their generalizations, with the goal of
bringing together analysts and algebraists to share ideas and collaborate.[6][7][8][9][10]
^Ch.6 of Graph Algebras, Iain Raeburn, CBMS Regional Conference Series in Mathematics, 103. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2005. vi+113 pp. ISBN0-8218-3660-9
^Isomorphism and Morita equivalence of graph algebras, Gene Abrams and Mark Tomforde, Trans. Amer. Math. Soc. 363 (2011), no. 7, 3733-3767.
^A unified approach to Exel-Laca algebras and C*-algebras associated to graphs, Mark Tomforde, J. Operator Theory 50 (2003), no. 2, 345-368.
^"Graph Algebras: Operator Algebras We Can See", NSF-CBMS Regional Conference in the Mathematical Sciences, Principal Lecturer: Iain Raeburn, Organizers: Paul Muhly, David Pask, and Paul Muhly, University of Iowa, June 2004 Conference Website
^"Graph Algebras in Analysis and Algebra", Special Session at the AMS/MAA Joint Mathematics Meetings, Organizers: Gene Abrams and Mark Tomforde, San Francisco, CA, January 2010 Special Session Website
^"Classification of C*-algebras, Flow Equivalence of Shift Spaces, and Graph and Leavitt Path Algebras", Principal Lecturer: Søren Eilers, Organizers: Gary Birkenmeier, Daniel Davis, P. W. Ng, Leonel Robert, and Mark Tomforde, University of Louisiana at Lafayette, May 2015 Conference Website
^"Workshop on Cuntz-Pimsner Algebras", Organizer: Mark Tomforde, University of Houston, December 2019 Workshop Website
