Fresh preprints:

[-] A topological viewpoint on curves via intersection
       With B. Xu

[-] Counting geodesics between surface triangulations
       With L. Pournin

[-] A shorter note on shorter pants
[-] Computing a Dirichlet domain for a hyperbolic surface
       With V. Despré, B. Kolbe and M. Teillaud

[-] Quasisymmetric maps, shears, lambda lengths and flips
       With D. Šarić

[-] The coarse geometry of hexagon decomposition graphs
       With F. Gültepe

[-] Prime orthogeodesics, concave cores and families of identities on hyperbolic surfaces
       With A. Basmajian and S. P. Tan

[-] Geodesic and orthogeodesic identities on hyperbolic surfaces

[-] Quantifying the sparseness of simple geodesics on hyperbolic surfaces
       With P. Buser

Journal publications:

[56] The shortest non-simple closed geodesics on hyperbolic surfaces
       With A. Basmajian and H. Vo
       Math. Z., to appear.

[55] Universal families of arcs and curves on surfaces
       With N. Fuladi and A. de Mesmay
       Israel Journal of Math., to appear.

[54] Bounded geometry with no bounded pants decomposition
       With A. Basmajian and N. Vlamis
       Israel Journal of Math., to appear.

[53] Measuring pants
       With N. M. Doan and S. P. Tan
       Trans. Amer. Math. Soc., 376 (8), 2023, 5281--5306.

[52] Systoles and diameters of hyperbolic surfaces
       With F. Balacheff and V. Despré
       Kyoto J. Math., 63(1), 2023, 211--222.

[51] Minimal Delaunay triangulations of hyperbolic surfaces
       With M. Ebbens and G. Vegter
       Discrete Comput. Geom., 69(2), 2023, 568--592.

[50] Ideally, all surfaces of infinite type admit a triangulation
       With Alan McLeay
       Bull. Lond. Math. Soc., 54(5), 2022, 2032--2040.

[49] The simple separating systole for hyperbolic surfaces of large genus
       With Y. Wu and Y. Xue
       J. Inst. Math. Jussieu, 21(6), 2022, 2205--2214.

[48] Flip graphs for infinite type surfaces
       With A. Fossas
       Groups Geom. Dyn., 16(4), 2022, 1165--1178.

[47] The minimal length product over homology bases of manifolds
       With F. Balacheff and S. Karam
       Math. Ann., 380(1-2), 2021, 825--854.

[46] Short closed geodesics with self-intersections
       With V. Erlandsson
       Math. Proc. Camb. Philos. Soc., 169(3), 2020, 623--638.

[45] Geometric simplicial embeddings of arc-type graphs
       With A. Weber
       J. Korean Math. Soc., 57(5), 2020, 1103--1118.

[44] Counting curves and the stable length of currents
       With V. Erlandsson and J. Souto
       J. Eur. Math. Soc. (JEMS), 22(6), 2020, 1675-1702.

[43] The maximum number of systoles for genus two Riemann surfaces with abelian differentials
       With C. Judge
       Comment. Math. Helv., 94(2), 2019, 399-437.

[42] The geometry of flip graphs and mapping class groups
       With V. Disarlo
       Trans. Amer. Math. Soc., 372(6), 2019, 3809-3844.

[41] Simultaneous flips on triangulated surfaces
       With V. Disarlo
       Michigan Math. J., 67(3), 2018, 451-464.

[40] Interrogating surface length spectra and quantifying isospectrality
       Math. Ann., 370(3-4), 2018, 1759-1787.

[39] The genus of curve, pants and flip graphs
       With B. Petri
       Discrete Comput. Geom., 59(1), 2018, 1-30.

[38] Modular flip-graphs of one holed surfaces
       With L. Pournin
       European J. Combin., 67, 2018, 158-173.

[37] Once punctured disks, non-convex polygons, and pointihedra
       With L. Pournin
       Ann. Comb., 22(3), 2018, 619-640.

[36] Geometric filling curves on surfaces
       With A. Basmajian and J. Souto
       Bull. Lond. Math. Soc., 49(4), 2017, 660-669.

[35] Flip-graph moduli spaces of filling surfaces
       With L. Pournin
       J. Eur. Math. Soc. (JEMS), 19(9), 2017, 2697-2737.

[34] Distances in domino flip graphs
       With S. Zappa
       Amer. Math. Monthly, 124(8), 2017, 710-722.

[33] Arc and curve graphs for infinite-type surfaces
       With J. Aramayona and A. Fossas
       Proc. Amer. Math. Soc., 145(11), 2017, 4995-5006.

[32] On the homology length spectrum of surfaces
       With D. Massart
       Int. Math. Res. Not. IMRN, 8, 2017, 2367-2401.

[31] Filling sets of curves on punctured surfaces
       With F. Fanoni
       New York J. Math., 22, 2016, 653-666.

[30] Chromatic numbers of hyperbolic surfaces
       With C. Petit
       Indiana Univ. Math. J., 65(4), 2016, 1401-1423.

[29] Relative shapes of thick subsets of moduli space
       With J. Anderson and A. Pettet
       Amer. J. Math, 138(2), 2016, 473-498.

[28] Injective maps between flip graphs
       With J. Aramayona and T. Koberda
       Ann. Inst. Fourier (Grenoble), 65(5), 2015, 2037-2055.

[27] Systoles and kissing numbers of finite area hyperbolic surfaces
       With F. Fanoni
       Algebr. Geom. Topol., 15(6), 2015, 3409-3433.

[26] Curve graphs on surfaces of infinite type
       With A. Fossas
       Ann. Acad. Sci. Fenn. Math., 40 (2), 2015, 793-801.

[25] Connecting p-gonal loci in the compactification of moduli space
       With A. F. Costa and M. Izquierdo
       Rev. Mat. Complut., 28(2), 2015, 469-486.

[24] A short note on short pants
       Canad. Math. Bull., 57(4), 2014, 870-876.

[23] Systole growth for finite area hyperbolic surfaces
       With F. Balacheff and E. Makover
       Ann. Fac. Sci. Toulouse, Math., 23(6), 2014, 175-180.

[22] Kissing numbers for surfaces
       J. Topology, 6(3), 2013, 777-791.

[21] Convexity of strata in diagonal pants graphs of surfaces
       With J. Aramayona, C. Lecuire and K. Shackleton
       Publ. Mat., 57, 2013, 219-237.

[20] Constructing metrics on a 2-torus with a partially prescribed stable norm
       With E. Makover and C. Sutton
       Manuscripta Math., 139, 2012, 515-534.

[19] Bers' constants for punctured spheres and hyperelliptic surfaces
       With Florent Balacheff
       J. Topol. Anal., 4(3), 2012, 271-296.

[18] Short loop decompositions of surfaces and the geometry of Jacobians
       With F. Balacheff and S. Sabourau
       Geom. Funct. Anal., 22(1), 2012, 37-73.

[17] Growth of the Weil-Petersson diameter of moduli space
       With Will Cavendish
       Duke Math. J., 161(1), 2012, 139-171.

[16] The homology systole of hyperbolic Riemann surfaces
       Geom. Dedicata, 157(1), 2012, 331-338.

[15] Pants decompositions of random surfaces
       With L. Guth and R. Young
       Geom. Funct. Anal., 21(5), 2011, 1069-1090.

[14] Small filling sets of curves on a surface
       With J. Anderson and A. Pettet
       Topology Appl., 158, 2011, 84-92.

[13] Constructing convex planes in the pants complex
       With J. Aramayona and K. Shackleton
       Proc. Amer. Math. Soc., 137, 2009, 3523-3531.

[12] Applications of a theorem of Singerman about Fuchsian groups
       With Antonio F. Costa
       Arch. Math. (Basel), 91(6), 2008, 536-543.

[11] On Harnack's Theorem and extensions: a geometric proof and applications
       With Antonio F. Costa
       Conform. Geom. Dyn., 12, 2008, 174-186.

[10] Fixed point free involutions on Riemann surfaces
       Israel Journal of Math., 166, 2008, 297-311.

[09] Multiplicities of simple closed geodesics and hypersurfaces in Teichmüller space
       With Greg McShane
       Geom. Topol., 12, 2008, 1883-1919.

[08] On the angles formed by N points of the Euclidean and hyperbolic planes
       With Ghislain Jaudon
       Geombinatorics, 17(4), 2008, 157-165.

[07] Totally geodesic subgraphs of the pants complex
       With J. Aramayona and K. Shackleton
       Math. Res. Lett., 15(2), 2008, 309-320.

[06] A geometric characterization of orientation reversing involutions
       With Antonio F. Costa
       J. London Math. Soc. (2), 77(2), 2008, 287-298.

[05] Collars and partitions of hyperbolic cone-surfaces
       With Emily Dryden
       Geom. Dedicata, 127(1), 2007, 139-149.

[04] Minimal length of two intersecting simple closed geodesics
       With Thomas Gauglhofer
       Manuscripta Math., 122(3), 2007, 321-339.

[03] Hyperbolic polygons and simple closed geodesics
      Enseign. Math. (2), 52, 2006, 295-317.

[02] Lengths of geodesics on Riemann surfaces with boundary
      Ann. Acad. Sci. Fenn. Math., 30(2), 2005, 227-236.

[01] A note on collars of simple closed geodesics
      Geom. Dedicata, 112(1), 2005, 165-168.

Refereed proceedings:

[04] Quadratis Puzzles
       With M. Gutiérrez and P. Turner
       Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture, 2022, 49-56.

[03] Minimal Delaunay triangulations of hyperbolic surfaces (conference proceedings version of [52] above).
       With M. Ebbens and G. Vegter
       37th International Symposium on Computational Geometry (SoCG)
       Art. No. 31, 16 pp., LIPIcs. Leibniz Int. Proc. Inform., 189, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2021.

[02] The distribution of simple closed geodesics on surfaces
       With Peter Buser
       Proc. of the 15th ICFIDCAA (Osaka 2007), 2008, 3-10.

[01] Determinants of Binary Circulant Matrices
       With Gerard Maze
       Proc. 2004 IEEE Int. Sym. on Information Theory, 2004.

Book chapters:

[03] The topological types of length bounded multicurves
       Essays in Geometry, dedicated to Norbert A'Campo, 97-109, IRMA Lect. Math. Theor. Phys., 34, EMS Press, Berlin, 2023.

[02] Simple closed geodesics and the study of Teichmüller spaces
       Handbook of Teichmüller theory, vol. IV, IRMA Lect. Math. Theor. Phys., 2014, 113-134.

[01] Simple closed geodesics of equal length on a torus
       With G. McShane
       Geometry of Riemann surfaces, LMS Lecture Notes 368, 2010, 268-282.


[-] An appendix to: Least dilatation of pure surface braids (by M. Loving)
       With M. Loving
      Algebr. Geom. Topol., 19(2), 2019, 941--964.

Older preprints:

[-] Delaunay triangulations of points on circles
       With V. Despré, O. Devillers and J.-M. Schlenker

[-] Chromatic numbers for the hyperbolic plane and discrete analogs
       With C. Petit

[-] Separating simple closed geodesics and homology bases


Illustrations for "Mirzakhani's Curve Counting and Geodesic Currents" by V. Erlandsson and J. Souto.

Mathema, an interactive book-app.
       With P. Turner


Most of my papers are on the ArXiv.

MathSciNet (by subscription only)