Royal Holloway University of London Egham Surrey TW20 0EX United Kingdom tel: +44 (0)1784 443081office: McRea 011 (what3words: open.tubes.zebra) |

My research centers on the interface of combinatorics and topology. I am particularly interested in the ways in which combinatorial and topological structures can be encoded in one another, and in exploiting such connections to solve hard problems in combinatorics and topology. My main current research interests lie in delta-matroid theory, structural ribbon graph theory, and graph polynomials.

J.A. Ellis-Monaghan and I. Moffatt, Handbook of the Tutte Polynomial and Related Topics, CRC Press, 2022. |

D.M. Jackson and I. Moffatt, An Introduction to Quantum and Vassiliev Knot invariants, Springer, 2019. |

J.A. Ellis-Monaghan and I. Moffatt, Graphs on surfaces: Dualities, Polynomials, and Knots, Springer, 2013. (errata) |

J. Ellis-Monaghan, A. Goodall, I. Moffatt, S. Noble, and L. Vena, Irreducibility of the Tutte polynomial of an embedded graph, preprint.

I. Moffatt, From matrix pivots to graphs in surfaces: touring combinatorics guided by partial duals, xx-xx, in European Congress of Mathematics Portorož, 20–26 June, 2021, to appear. (book / preprint)

I. Moffatt and S. Noble, Topological graph theory through matroid theory, Newsletter of the London Mathematical Society, 496 - September (2021) 29-33. (journal)

J.A. Ellis-Monaghan and I. Moffatt, The Tutte polynomial for graphs, 14–26, in Handbook of the Tutte Polynomial and Related Topics, CRC Press, 2022. (book / preprint)

J.A. Ellis-Monaghan and I. Moffatt, Skein polynomials and the Tutte polynomial when x = y, 266–283, in Handbook of the Tutte Polynomial and Related Topics, CRC Press, 2022. (book / preprint)

I. Moffatt and J. Oh, A
2-isomorphism theorem for delta-matroids, Advances
in Applied Mathematics, 126 (2021) paper 102133. (journal
/ preprint)

S. Huggett and I. Moffatt, Embedded graphs and their Tutte polynomials, Mathematical Proceedings of the Cambridge Philosophical Society, 169 (2020) 255–297. (journal / preprint)

J. Ellis-Monaghan, L. Kauffman and I. Moffatt, Edge colourings and topological graph polynomials, The Australasian Journal of Combinatorics, 72 (2018) 290–30.5 (journal)

C. Chun, R. Hall, C. Merino, I. Moffatt, and S. Noble, The structure of delta-matroids with width one twists, The Electronic Journal of Combinatorics, 25 (2018) P1.9. (journal)

S. Garoufalidis, I. Moffatt, and D. Thurston, Non-peripheral ideal decompositions of alternating knots, preprint. (journal / arXiv)

I. Mofffatt and B. Smith, Matroidal frameworks for topological Tutte polynomials, Journal of Combinatorial Theory Series B, 133 (2018) 1–31. (journal / preprint)

I. Moffatt and E. Mphako-Banda, Handle slides for delta-matroids, European Journal of Combinatorics, 59 (2017) 23–33. (journal / arXiv)

T. Krajewski, I. Moffatt, A. Tanasa, Hopf algebras and Tutte polynomials, Advances in Applied Mathematics, 95 (2018) 271–330. (journal / arXiv)

C. Chun, I. Moffatt, S. Noble and R. Rueckriemen, On the interplay between embedded graphs and delta-matroids, Proceedings of the London Mathematical Society, 118 (2019) 675–700. (journal / arXiv)

I. Moffatt, Ribbon graph minors and low-genus partial duals, Annals of Combinatorics, 20 (2016) 373–378. (journal / arXiv)

Iain Moffatt and Johanna Strömberg, On the ribbon graphs of links in real projective space, Involve, 9 (2016) 133–153. (journal / arXiv)

J. Ellis-Monaghan and I. Moffatt, A note on recognizing an old friend in a new place: list coloring and the zero-temperature Potts model, Annales de l'Institut Henri Poincaré - D, 1 (2015) 429–442. (journal / arXiv)

C. Chun, I. Moffatt, S. Noble and R. Rueckriemen, Matroids, Delta-matroids and Embedded Graphs, Journal of Combinatorial Theory, Series A, 167 (2019) 7–59. (journal / arXiv)

J. Ellis-Monaghan and I. Moffatt, The Las Vergnas Polynomial for embedded graphs, European Journal of Combinatorics, 50 (2015) 97–114. (journal / arXiv)

I. Moffatt, Excluded minors and the graphs of knots, Journal of Graph Theory, 81 (2016) 329–341. (journal / arXiv)

M. Klazar, M. Loebl, and I. Moffatt, The Potts model and chromatic functions of graphs, Annales de l'Institut Henri Poincaré - D, 1 (2014) 47–60. (journal / arXiv)

J. Ellis-Monaghan, A. McDowell, I. Moffatt and G. Pangborn, DNA origami and the complexity of Eulerian circuits with turning costs, Natural Computing, 14 (2015) 491–503. (journal / arXiv)

J. Ellis-Monaghan and I. Moffatt, Evaluations of topological Tutte polynomials, Combinatorics, Probability and Computing, 24 (2015) 556–583. (journal / arXiv)

I. Moffatt, Separability and the genus of a partial dual, European Journal of Combinatorics 34 (2013) 355–378. (journal / arXiv)

L. McDonald and I. Moffatt, On the Potts model partition function in an external field, Journal of Statistical Physics, 146 (2012) 1288–1302. (journal / arXiv)

J. Ellis-Monaghan and I. Moffatt, A Penrose polynomial for embedded graphs, European Journal of Combinatorics 34 (2013) 424–445. (journal / arXiv)

S. Huggett and I. Moffatt, Bipartite partial duals and circuits in medial graphs, Combinatorica 33 (2013) 231–252. (journal / arXiv)

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, 153 (2012) 123–145. (journal / arXiv)

I. Moffatt, Partial duals of plane graphs, separability and the graphs of knots, Algebraic and Geometric Topology, 12 (2012) 1099–1136. (journal / arXiv)

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. (journal / arXiv)

M. Loebl and I. Moffatt, A permanent formula for the Jones polynomial, Advances in Applied Mathematics 47 (2011) 659–667. (journal / arXiv)

J. Ellis-Monaghan and I. Moffatt, Twisted duality for embedded graphs, Transactions of the American Mathematical Society, 364 (2012) 1529–1569. (journal / arXiv)

I. Moffatt, A characterization of partially dual graphs, Journal of Graph Theory 67 (2011), 198–217. (journal / arXiv)

I. Moffatt, Partial duality and Bollobás and Riordan's ribbon graph polynomial, Discrete Mathematics 310 (2010) 174–183. (journal / arXiv)

I. Moffatt, Unsigned state models for the Jones polynomial, Annals of Combinatorics 15 (2011) 127–146. (journal / arXiv)

I. Moffatt and S. Huggett, Expansions for the Bollobás-Riordan and Tutte polynomials of separable ribbon graphs, Annals of Combinatorics 15 (2011) 675–706. (journal / arXiv)

I. Moffatt, Knot invariants and the Bollobás-Riordan polynomial of embedded graphs, European Journal of Combinatorics 29 (2008) 95–107. (journal / arXiv)

M. Loebl and I. Moffatt, The chromatic polynomial of fatgraphs and its categorification, Advances in Mathematics 217 (2008) 1558–1587. (journal / arXiv)

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. (journal / arXiv)

I. Moffatt, A new proof that alternating links are non-trivial, Journal of Knot Theory and its Ramifications 19 (2010) 821–828. (journal / arXiv)

I. Moffatt, The Århus Integral and the ?-invariants, Journal of Knot Theory and its Ramifications 15 (2006) 361–377. (journal / arXiv)

I. Moffatt, Integration and Conjugacy in Knot Theory, PhD thesis, University of Warwick, (2005). (arXiv)

Click here for my papers on arXiv.

I recently guest edited a special issue of Advances in Applied Mathematics on the Tutte Polynomial.

FPSAC 17, London 2017

Graph Polynomials: Towards a Comparative Theory, Dagstuhl Seminar, 12th – 17th June 2016.

Workshop on New Directions for the Tutte Polynomial: Extensions, Interrelations, and Applications, Royal Holloway University of London, 11th –14th July 2015.

Special session on graph polynomials and their applications, CGTC46, 2nd–6th March 2015.