Iain
Moffatt
Research Interests
Algebraic combinatorics, topological graph theory, and knot theory.
CV.
Teaching:
Current Courses
Math 125 - Cal I
Math 126 - Cal II
Past courses
Publications:
J. Ellis-Monaghan and I. Moffatt, Evaluations of topological Tutte polynomials, preprint.
I. Moffatt, Separability and the genus of a partial dual, preprint.
L. McDonald and I. Moffatt, On the Potts model partition function in an external field, Journal of Statistical Physics, to appear.
J. Ellis-Monaghan and I. Moffatt, A Penrose polynomial for embedded graphs, preprint.
S. Huggett and I. Moffatt, Bipartite partial duals and circuits in medial graphs, preprint.
S. Huggett, I. Moffatt and N. Virdee, On the Seifert graphs of a link diagram and its parallels, Mathematical Proceedings of the Cambridge Philosophical Society, to appear.
I. Moffatt, Partial
duals of plane graphs, separability and the graphs of knots,
preprint.
J. Ellis-Monaghan and I. Moffatt, The Tutte-Potts connection in the presence of
an external magnetic field, Advances in Applied Mathematics, 47 (2011) 772-782.
M. Loebl and I. Moffatt, A permanent formula for the Jones polynomial, Advances in Applied Mathematics 47 (2011) 659-667.
J. Ellis-Monaghan and I. Moffatt, Twisted duality for embedded graphs, Transactions of the American Mathematical Society, to appear.
I. Moffatt, A
characterization of partially dual graphs, Journal of Graph Theory 67 (2011), 198-217.
I. Moffatt, Partial
duality and Bollobás and Riordan's ribbon graph polynomial,
Discrete Mathematics 310 (2010) 174-183.
I. Moffatt,
Unsigned state models for the Jones polynomial, Annals of
Combinatorics 15 (2011) 127-146.
I. Moffatt and S.
Huggett,
Expansions for the Bollobás-Riordan and Tutte polynomials of
separable ribbon graphs, Annals of
Combinatorics 15 (2011) 675-706.
I. Moffatt,
Knot invariants and the Bollobás-Riordan polynomial of
embedded graphs, European Journal of
Combinatorics 29 (2008) 95-107.
M. Loebl and I. Moffatt, The
chromatic polynomial of fatgraphs and its categorification,
Advances in Mathematics 217 (2008) 1558-1587.
D. M. Jackson, I. Moffatt
and A. Morales, On
the group-like behaviour of the Le-Murakami-Ohtsuki invariant,
Journal of Knot Theory and its Ramifications 16 (2007) 699-718.
I. Moffatt, A
new proof that alternating links are non-trivial, Journal of Knot Theory and its Ramifications 19 (2010) 821-828.
I. Moffatt, The
Ĺrhus Integral and the μ-invariants,
Journal of Knot Theory and its Ramifications 15 (2006) 361-377.
Click
here for my papers on arXiv.
Thesis:
Integration
and Conjugacy in Knot Theory, PhD thesis,
University of Warwick, (2005).
Slides:
Slides from Fields Undergraduate talk
Slides from SIAM DM10 meeting in Austin.
Slides from BCC 2009, St Andrews.
Slides
from Spring 2008 AMS meeting at Baton Rouge.
My better-half.
