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.
Appendices:
[-] 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
Other:
Illustrations for "Mirzakhani's Curve Counting and Geodesic Currents" by V. Erlandsson and J. Souto.
Mathema, an interactive book-app.
With P. Turner
ArXiv/Reviews:
Most of my papers are on the ArXiv .
MathSciNet (by subscription only)
Zentralblatt