This page is for professional information on tom denton.
- Full Curriculum Vita
- Research Statement, 2013
- Teaching statement, 2013
- Currently teaching: Math for Life and Social Sciences, York University.
- Postdoctoral Researcher, York University and the Fields Institute, 2011-2012 and 2013-2014.
- Fulbright Scholar, Maseno University, Kenya, 2012-2013.
- PhD, University of California, Davis, 2011.
- BSc, University of Oregon, Eugene, 2006.
- Budapest Semesters in Mathematics, 2002.
- Quonting Quores, in preparation. Collaboration with Cesar Ceballos and Chris Hanusa.
- Affine Permutations and an Affine Catalan Monoid. To appear, proceedings of “Workshop on Group Embeddings and Algebraic Monoids.”
- Algebraic and Affine Pattern Avoidance. Seminaire Lotharingien de Combinatoire, B69c (2013).
- Canonical Decompositions of Affine Permutations, Affine Codes, and Split k-Schur Functions. Electronic Journal of Combinatorics, Vol 19, Issue 4, 2012, P19.
- Excursions into Algebra and Combinatorics at q = 0. Dissertation, accepted July 2011.
- Representation Theory of J -Trivial Monoids. Tom Denton, Florent Hivert, Anne Schilling, Nicolas Thiery. Seminaire Lotharingien de Combinatoire, B64d (2011), 44p, arxiv: 1010.3455.
- A Combinatorial Formula for Idempotents in the 0-Hecke Algebra of the Symmetric Group. Electronic Journal
of Combinatorics, vol 18, Feb 2011,arxiv: 1008.2401.
- A Combinatorial Formula for Idempotents in the 0-Hecke Algebra of the Symmetric Group (Extended abstract). DMTCS Proceedings, North America, 0, Jul. 2010. This extended abstract was accepted to the yearly international conference on Formal Power Series and Algebraic Combinatorics (FPSAC) 2010.
- Linear Algebra in Twenty-Five Lectures. David Cherney, Tom Denton and Andrew Waldron.
These notes were created for the introductory linear algebra class at the University of California, Davis, and are
available for free download at: http://math.ucdavis.edu/ ̃linear/linear.pdf.
Initiatives and Projects
- 2013: Co-founder of LakeHub, a technology hub in western Kenya intended to build the technology community and develop the rural economy in Kenya.
- 2012-13: Introduced WebWork at Strathmore University and Maseno University, which allowed ongoing evaluation in large courses, directly addressing ongoing problems in lower-division courses at both institutions.
- 2013: Guest lecturer at the African Institute of Math Sciences (AIMS), for a three-week problem solving course.
- 2013: Lectured for a three-week algebraic geometry workshop in Kenya on the Sage computer algebra system and Grobner Bases.
- 2013: Co-founder and coordinator for the first Ethiopian math camp, at Bahir Dar University, Ethiopia.
- 2011-13: Co-founder and coordinator for the Maseno Math Camp, at Maseno Univesity, Kenya. This is the first math camp in Kenya, and runs yearly for one week in August. We have also run numerous one-day ‘mini-math camps’ around western Kenya and Nairobi.
- 2013: Authored some free online notes for an Algebraic Structures course given through Maseno University. Developed a Django backend for curating the project, and learned JQuery and related web techologies as needed. The notes are currently being integrated into the UC Davis Math Wiki.
- 2010-13: Co-author of a linear algebra text with Andrew Waldron and David Cherney.
- 2009-2011: Worked with COSMOS, a summer outreach program for secondary students, teaching computer programming using Lego Mindstorm robots.
- 2008-present: Contributor to the Sage Math project, a free, open-source computer algebra system. Contributed a number of patches, including functionality for affine permutations which greatly speeded computations relating to k-Schur functions.