Seminars

The Algebraic and Enumerative combinatorics seminar. Past website, older website and even older website.

Our most recent learning seminar with links to past learning seminars.

Papers and preprints

  1. Karen Yeats, Asymptotic Density in Combined Number Systems. New York J. Math. 8 (2002), 63-83. A central reference is Stan Burris' Number Theoretic Density and Logical Limit Laws.
  2. Karen Yeats, A Multiplicative Analogue of Schur's Tauberian Theorem. Canad. Math. Bull. 46 no.3 (2003), 473-480. Errata.
  3. Stanley Burris and Karen Yeats, The Saga of the High School Identities. Algebra Universalis, 52 nos.2-3 (2005), 325-342. Available in postscript or pdf format.
  4. Stanley Burris and Karen Yeats, Admissible Dirichlet Series. arXiv:math.CA/0507487
  5. Kathryn E. Hare and Karen Yeats, The size of characters of exceptional Lie groups. J. Austral. Math. Soc. 77 (2004), 233-248.
  6. Jason Bell, Stanley Burris, and Karen Yeats, Counting Rooted Trees: The Universal Law t(n) ∼ Cρ−nn−3/2. Elec. J. Combin. 13 (2006), #R63. (Also arXiv:math.CO/0512432.)
  7. Dirk Kreimer and Karen Yeats, An Étude in non-linear Dyson-Schwinger Equations. Nucl. Phys. B Proc. Suppl., 160, (2006), 116-121. (Also arXiv:hep-th/0605096.)
  8. Stanley Burris and Karen Yeats, Sufficient Conditions for Labelled 0-1 Laws. Discrete Math. Theor. Comput. Sci. 10 no.1, (2008), 147-156. (Also arXiv:math.CO/0608735.)
  9. Dirk Kreimer and Karen Yeats, Recursion and growth estimates in renormalizable quantum field theory. Commun. Math. Phys. 279, no.2, (2008), 401-427. (Also arXiv:hep-th/0612179.)
  10. David Uminsky and Karen Yeats, Unbounded regions of Infinitely Logconcave Sequences. Elec. J. Combin. 14 (2007), #R72. (Also arXiv:math.CO/0703770.)
  11. My PhD thesis: Growth estimates for Dyson-Schwinger equations, or no longer in BU thesis format at arXiv:0810.2249.
  12. Guillaume van Baalen, Dirk Kreimer, David Uminsky and Karen Yeats,The QED beta-function from global solutions to Dyson-Schwinger equations. Ann. Phys. 234, 1, (2009), 205-219. (Also arXiv:0805.0826.)
  13. Jason Bell, Stanley Burris, and Karen Yeats, Characteristic points of recursive systems. Elec. J. Combin. 17 (2010), #R121. (Also arXiv:0905.2585.)
  14. Guillaume van Baalen, Dirk Kreimer, David Uminsky and Karen Yeats, The QCD beta-function from global solutions to Dyson-Schwinger equations. Ann. Phys. 325, 2, (2010), 300-324. (Also arxiv:0906.1754.)
  15. Francis Brown and Karen Yeats, Spanning forest polynomials and the transcendental weight of Feynman graphs, Commun.Math.Phys. 301 no. 2, (2011) 357-382. (Also arxiv:0910.5429.)
  16. Jason Bell, Stanley Burris, and Karen Yeats, Spectra and Systems of Equations, in "Model Theoretic Methods in Finite Combinatorics", Martin Grohe and Johann A. Makowsky eds., Contemporary Mathematics, 558, (2011), 43-96. Also arXiv:0911.2494.
  17. Jason Bell, Stanley Burris, and Karen Yeats, Monadic second-order classes of forests with a monadic second-order 0-1 law, Discrete Math. Theor. Comput. Sci. 14, 1, (2012), 87-108. Also arXiv:1004.1128.
  18. Dirk Kreimer and Karen Yeats, Tensor structure from scalar Feynman matroids, Phys. Lett. B 698, 5, (2011) 443-450 (Also arxiv:1010.5084.)
  19. Jason Bell, Stanley Burris, and Karen Yeats, On the set of zero coefficients of a function satisfying a linear differential equation. Math. Proc. Camb. Phil. Soc. 153, (2012), 235-247. Also arXiv:1105.6078.
  20. Aleksandar Vlasev, Karen Yeats, A four-vertex, quadratic, spanning forest polynomial identity. Electron. J. Linear Alg., 23 (2012) 923-941. Also arXiv:1106.2869.
  21. Francis Brown, Oliver Schnetz, and Karen Yeats, Properties of c2 invariants of Feynman graphs. Advances in Theoretical and Mathematical Physics, 18, 2, (2014), 323-362. Also arXiv:1203.0188.
  22. Dirk Kreimer and Karen Yeats, Properties of the Corolla Polynomial of a 3-regular Graph, Elec. J. Combin., 20, 1 (2013), P41. Also arXiv:1207.5460.
  23. Chun-Hay Kom, Andreas Vogt, and Karen Yeats, Resummed small-x and first-moment evolution of fragmentation functions in perturbative QCD, J. High Energ. Phys. 2012, no 10, (2012), 33-55. Also arXiv:1207.5631. As a conference proceedings paper (along with other results by other contributors): A. Vogt, C. H. Kom, N. A. Lo Presti, G. Soar, A. A. Almasy, S. Moch, J. A. M. Vermaseren, K. Yeats Progress on double-logarithmic large-x and small-x resummations for (semi-)inclusive hard processes.
  24. Nicolas Marie and Karen Yeats, A chord diagram expansion coming from some Dyson-Schwinger equations. Communications in Number Theory and Physics, 7, no 2 (2013), 251-291. Also arXiv:1210.5457
  25. Karen Yeats, Some combinatorial interpretations in perturbative quantum field theory. in "Feynman Amplitudes, Periods and Motives", Proceedings of the 2012 ICMAT workshop "Periods and Motives", Contemporary Mathematics, 648 (2015), 261-289. Also arXiv:1302.0080.
  26. Samuel Johnson, Marni Mishna, and Karen Yeats, Towards a Combinatorial Understanding of Lattice Path Asymptotics. Advances in Applied Mathematics 92 (2018) 144-163. Also arXiv:1305.7418
  27. Samson Black, Iain Crump, Matt DeVos, and Karen Yeats, Forbidden minors for graphs with no first obstruction to parametric Feynman integration. Discrete Mathematics 338 (2015), 9-35. Also arXiv:1310.5788.
  28. Karen Yeats, A bijection between certain quarter plane walks and Motzkin paths.
  29. Bradley R. Jones and Karen Yeats, Tree hook length formulae, Feynman rules and B-series. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 2, no 4 (2015), 413-430. Also arXiv:1412.6053.
  30. Iain Crump, Matt DeVos, and Karen Yeats, Period Preserving Properties of an Invariant from the Permanent of Signed Incidence Matrices. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 3, no 4 (2016) 429-454. Also arXiv:1505.06987.
  31. Karen Yeats, A few c2 invariants of circulant graphs, Commun. Number Theory Phys., 10, no 1 (2016), 63-86. Also arXiv:1507.06974
  32. Karen Yeats, A Hopf algebraic approach to Schur function identities. Elec. J. Combin. 24(3) (2017), #P3.10. Also arXiv:1511.06337. Thanks to Steph van Willigenburg for contributing to this paper's existence.
  33. Avi Kulkarni, Gregory Maxedon, Karen Yeats, Some results on an algebro-geometric condition on graphs. J. Austral. Math. Soc. 104 no 2 (2018) 218-254. Also arXiv:1602.00356.
  34. Markus Hihn and Karen Yeats, Generalized chord diagram expansions of Dyson-Schwinger equations.Ann. Inst. Henri Poincaré Comb. Phys. Interact. 6 no 4 (2019) 573-605. Also arXiv:1602.02550.
  35. Julien Courtiel and Karen Yeats, Terminal chords in connected chord diagrams. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 4 no 4 (2017) 417-452. Also arXiv:1603.08596.
  36. Dirk Kreimer and Karen Yeats, Diffeomorphisms of quantum fields. Math. Phys. Anal. Geom. (2017) 20: 16. Also arXiv:1610.01837.
  37. Julien Courtiel, Karen Yeats, and Noam Zeilberger, Connected chord diagrams and bridgeless maps, Electronic Journal of Combinatorics, 26 no 4 (2019) P4.37. Also arXiv:1611.04611.
  38. Wesley Chorney and Karen Yeats, c2 Invariants of Recursive Families of Graphs, Ann. Inst. Henri Poincaré Comb. Phys. Interact. 6 no 2 (2019) 289-311. Also arXiv:1701:01208.
  39. Karen Yeats, A special case of completion invariance for the c2 invariant of a graph Canad. J. Math., 70, 6 (2018) 1416-1435. Also arXiv:1706.08857.
  40. Benjamin Moore and Karen Yeats, Graph minors and the linear reducibility of Feynman diagrams, Advances in Theoretical and Mathematical Physics. 23, no 6 (2019) 1657--1685. Also arXiv:1708.01691.
  41. Karen Yeats, A study on prefixes of c2 invariants. Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA), IRMA Lectures in Mathematics and Theoretical Physics 32 (2020). Also arXiv:1805.11735.
  42. Frédéric Chyzak and Karen Yeats, Bijections between Łukasiewicz walks and generalized tandem walks, Electronic Journal of Combinatorics, 27, no 2 (2020), P2.3. Also arXiv:1810.04117.
  43. Xiaojing Wang and Karen Yeats, Limbs and cospectral vertices in trees.
  44. Simone Hu, Oliver Schnetz, Jim Shaw, and Karen Yeats, Further investigations into the graph theory of φ4-periods and the c2 invariant, Ann. Inst. Henri Poincaré Comb. Phys. Interact. 9, no 3 (2022), 473–524. Also arXig:1812.08751.
  45. Mohamed Laradji, Marni Mishna, and Karen Yeats, Some results on double triangle descendants of K5, Ann. Inst. Henri Poincaré Comb. Phys. Interact., 8, no. 4 (2021) 537-581. Also arXiv/1904.06923.
  46. Julien Courtiel and Karen Yeats, Next-tok leading log expansions by chord diagrams, Commun. Math. Phys. 377, 469–501 (2020). Also arXiv:1906.05139.
  47. Freddy Cachazo, Karen Yeats, and Samuel Yusim, Compatible Cycles and CHY Integrals, J. High Energ. Phys. 2019, 105 (2019). Also arXiv:1907.12661.
  48. Susama Agarwala, Siân Fryer, and Karen Yeats, Combinatorics of the geometry of Wilson loop diagrams I: equivalence classes via matroids and polytopes Canadian J. Math., 74 no 4 (2022) 1177-1208. Also arXiv:1908.10919.
  49. Susama Agarwala, Siân Fryer, and Karen Yeats, Combinatorics of the geometry of Wilson loop diagrams II: Grassmann necklaces, dimensions, and denominators, Canadian J. Math., 74 no 6 (2022) 1625-1672. Also arXiv:1910.12158.
  50. Ali Assem Mahmoud and Karen Yeats, Diffeomorphisms of Scalar Quantum Fields via Generating Functions, Ann. Inst. Henri Poincaré Comb. Phys. Interact. 10 (2023) 611-633. Also arXiv:2007.12341.
  51. Ali Assem Mahmoud and Karen Yeats, Connected Chord Diagrams and the Combinatorics of Asymptotic Expansions, Journal of Integer Sequences, 25 (2022), Article 22.7.5. Also arXiv:2010.06550.
  52. Oliver Schnetz and Karen Yeats, c2 invariants of hourglass chains via quadratic denominator reduction, SIGMA 17 (2021), 100, 26 pages. Also arXiv:2102.12383.
  53. Dirk Kreimer and Karen Yeats, Algebraic Interplay between Renormalization and Monodromy Advances in Theoretical and Mathematical Physics, 27, no 1 (2023), 87-191. Also arXiv:2105.05948.
  54. Xinle Dai, Jordan Long, and Karen Yeats, Subdivergence-free gluings of trees.
  55. Melanie Fraser and Karen Yeats, Column expansion identities and quadratic spanning forest identities, Australasian Journal of Combinatorics. 86 no 2 (2023) 271-307. Also arXiv:2109.13401
  56. Shannon Jeffries and Karen Yeats, A degree preserving delta wye transformation with applications to 6-regular graphs and Feynman periods. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 11 (2024), no. 4, 641-682. Also arXiv:2110.07764.
  57. Maria S. Esipova and Karen Yeats, A result on the c2 invariant for powers of primes, Canadian Mathematical Bulletin, 66 no. 4, 1164-1178. Also arXiv:2206.06835
  58. Simone Hu and Karen Yeats, Completing the c2 completion conjecture for p=2, Communications in Number Theory and Physics. 17 no 2 (2023) 343-384. Also arXiv:2206.07223
  59. William Dugan, Loïc Foissy, and Karen Yeats, Sequences of Trees and Higher-Order Renormalization Group Equations, Journal of Mathematical Physics, 64, no 7 (2023), 072302. arXiv:2209.06576.
  60. Angèle M. Foley, Alejandro H. Morales, Amarpreet Rattan, and Karen Yeats, Combinatorial and Algebraic Enumeration: a survey of the work of Ian P. Goulden and David M. Jackson. ALCO special issue in honour of Ian Goulden and David Jackson. ALCO \textbf{5} no 6 (2022) 1205-1226. Also arXiv:2209.10075
  61. William Dallaway and Karen Yeats, Some results on Landau poles and Feynman diagram cut structure by Hopf algebra.
  62. Paul-Hermann Balduf, Amelia Cantwell, Kurusch Ebrahimi-Fard, Lukas Nabergall, Nicholas Olson-Harris, Karen Yeats, Tubings, chord diagrams, and Dyson--Schwinger equations, J. London Math. Soc., 110: e70006. Also arXiv:2302.02019.
  63. Erik Panzer and Karen Yeats, Feynman symmetries of the Martin and c2 invariants of regular graphs.
  64. Simone Hu and Karen Yeats, Reconstructing a bijection on the level of Le diagrams.
  65. Karen Yeats and Stav Zalel, Hopf algebras from poset growth models. Electron. J Combin. 31 no.3 (2024), #P3.9. Also arXiv:2310.17547
  66. Susama Agarwala, Colleen Delaney, and Karen Yeats, Rado matroids and a graphical calculus for boundaries of Wilson loop diagrams.
  67. Bruno Giménez Umbert and Karen Yeats, Φp Amplitudes from the Positive Tropical Grassmannian: Triangulations of Extended Diagrams.
  68. Michael Borinsky, Gerald V. Dunne, and Karen Yeats, Tree-tubings and the combinatorics of resurgent Dyson-Schwinger equations.

Talks

I haven't been putting most of my talks here lately. When I can I like to do board talks, and more and more places put up videos themselves, which are better than just the slides anyway, but here is a selection of slides from some talks I've given.

Counting trees with applications to counting Feynman diagrams March 14, 2006; CIRM conference on Renormalization and Galois theories. Available in postscript or pdf format.

Recursion and growth estimates in quantum field theory April 9, 2007; Johns Hopkins University. Available in postscript or pdf format.

Dyson-Schwinger equations and Renormalization Hopf algebras April 10, 2007; Johns Hopkins University. Available in postscript or pdf format.

Feynman graphs to motives, June 28, 2007; Mathematische Arbeitstagung 2007. MPIM2007-75o.

Two different versions of a picture talk. Visualizing solutions to Dyson-Schwinger equations, October 4, 2007, Boston University; available in postscript or pdf format; and Rearranging Dyson-Schwinger equations, October 7, 2007, Special Session on Noncommutative Geometry and Arithmetic Geometry, AMS Fall Eastern Section Meeting; available in postscript or pdf format.

Two different versions of my job talk, A combinatorial perspective on Dyson-Schwinger equations. Simon Fraser University version, January 11, 2008; available in postscript or pdf format. McGill University version, February 14, 2008; available in postscript or pdf format.

Combinatorial and physical content of Kirchhoff polynomials and Weight drop in &phi4 transcendentals, May 19 and 20, 2009, Tulane University.

Some scribbly talks from les Houches: Dyson-Schwinger equations I, II, III, and the animations from talk 3. June 17, 18, and 21, 2010. I also gave a fourth talk on the blackboard which was about spanning forest polynomials.

CMS Winter meeting 2010 talk. I had more material than time, so the later part of it isn't filled in.

Joint Mathematics Meeting 2011 talk in Victor Moll's session. The audience voted to see the knots and matroids instead of the picture proof of double triangle, so the latter is blank.

CMS Summer meeting 2012 talk about the chord diagram expansion.

This was supposed to be a bit of an overview for a physics audience along with a presentation of the QED Landau pole result, but it wasn't well timed nor well tailored to the audience. Perhaps it is more useful as slides.

My CanaDAM 2015 talk about the renormalization group equation.

Coast Combinatorics talk about leading log expansions.

CMS winter meeting talk about skew Schur function identities by Hopf algebras.

Two different versions of a 2018 c2 talk for geometers and related mathematicians.

Les Houches workshop on structures in local quantum field theory talk about the c2 invariant.

An algebraic combinatorics talk on hourglass chains and my usual picture, very similar to an SFU discrete math talk the previous day.

An algebraic combinatorics talk on the Wilson Loop Diagram stuff with Susama Agarwala and Zee Fryer.

A Kolleg Mathematik Physik Berlin day talk on cut structures in Feynman diagrams.