Dept. of Combinatorics & Optimization
Abbreviated c.v.
I graduated from Cambridge in 1970 with a PhD in mathematics.
After spending two years as an Assistant Professor at Cornell, I moved
to the Department of Combinatorics and Optimization in Waterloo.
In 1992 Chris Godsil, Ian Goulden and I founded the
Journal of Algebraic Combinatorics and stepped down as
managing editors after ten years of service.
I am on the editoral boards of several journals and was, for many
years, a mathematical consultant to the Oxford English Dictionary
Project.
I am a Fellow of the Royal Society of Canada
and a Member of the Academy of Mathematical and Physical Sciences.
 This page was updated on 6 April 2014.

Combinatorial Enumeration,
by Goulden and Jackson,
is now available as a paperback from Dover Publications.
The .ps files of a number of papers
can be found in PREPRINTS .
This has been discontinued since the papers are available on the mathArchive.
A list of
I) submitted papers,
II) papers in preparation,
III) books, and
IV) published papers may be found in
PUBLISHED PAPERS .
Research interests

Research area: algebraic and enumerative combinatorics: application
of these to questions in algebraic geometry, and perturbative quantum field theory.

Current general interest: the use of algebraic and analytic ideas,
together with combinatorial constructions, in questions that have an
enumerative aspect; enumerative questions that arise in algebraic
geometry and mathematical physics.

Current and nascent research projects:
 integrable hierarchies and the JoinCut Equation;
 using enumerative techniques to find a generalisation of the
EkedahlLandoShapiroVainshtein theorem to the double Hurwitz problem;
 the "bconjecture": this involves a conjectured invariant of (rooted)
maps (2cell embeddings of graphs) interpolating naturally between
the moduli spaces of real and complex curves; "b" is associated with
Jack symmetric functions;
 the combinatorics of the betaJacobi density function in the context of maps (2cell embeddings of graphs);
 diagrammatics of 3manifolds;
 constructive aspects of perturbative quantum field theory, algebraic and combinatorial
aspects of the Legendre and Fourier transforms in this context;
 the study of quantum invariants and Vassiliev invariants of knots as a means of eliciting
properties of Lie algebras and Hopf algebras in the context of enumerative combinatorics.
Graduate Students and thesis titles
 (M.M) R. Tessier.
Path tableaux and the combinatorics of the immanant function.
(2013)
 (Ph.D) C.A. Sloss.
Enumeration of factorizations in the symmetric group:
from centrality to noncentrality.
(2011)
 (Ph.D) M.A. La Croix.
The combinatorics of the Jack parameter and
the genus series for topological maps.
(2009)
 (M.Math)(thesis) M. Yip,
Genus one partitions.
(2006)
 (M.Math)(thesis) C.A. Sloss,
Enumeration of walks on generalized differential posets.
(2005)
 (Ph.D) J.C.Irving.
Combinatorial constructions for transitive factorizations
in the symmetric group.
(2004)
 (M.Math)(essay) M.A. La Croix,
Approaches to the enumerative theory of meanders.
(2003)
 (M.Math)(thesis) L.L. Mac Donald,
The Eulerian subalgebra of Solomon's descent algebra and
its idempotents.
(2002)
 (Ph.D) D.R.L.Brown,
Differential equations and depthfirst search for the enumeration
of maps in surfaces.
(2000)
 (M.Math)(essay) J.C.Irving.
An enumeration problem concerning products of permutations.
(1998)
 (Ph.D) D.G.C.Horrocks,
Sperner properties of filters generated by twosets in
Boolean algebras.
(1995)
 (M.Math) (essay) D.R.L.Brown.
On locally orientable maps, integral representations and monopoles.
(1995)
 (Ph.D) T.I.Visentin,
A character theoretic approach to the study of combinatorial properties
of maps in orientable surfaces.
(1989)
 (M.Math) (essay) D.Horrocks,
qcounting.
(1989)
 (M.Math) (essay) T.I.Visentin,
Ordered sets of nonintersecting lattice paths.
(1983)
 (Ph.D) J.S.Devitt,
The algebraic manipulation of certain enumerative constructions.
(1981)
 (Ph.D) I.P.Goulden,
Combinatorial decompositions in the theory of algebraic
enumeration.
(1979).
 (Ph.D) J.W.Reilly,
An enumerative theory of formal power series. (1977).
 (M.Math) (essay) S.C. Locke. (1976)
 (M.Math) W.L.Kocay, (1976).
 (M.Math) M.R.Lipford.
Fundamental problems in pattern recognition (1975).
 (M.Math) (essay) G.H.J. van Rees. (1974)
My work address is:
Professor David M.R. Jackson
Department of Combinatorics and Optimization
Faculty of Mathematics
University of Waterloo
Waterloo, Ontario, CANADA, N2L 3G1
Misc. info:
Email: dmjackso@uwaterloo.ca
Fax: (519) 7255441
Tel: (519) 8884056