VITA: Anthony V. Phillips

Date and Place of Birth:

October 11, 1938; New York City


Baccalauréat, Académie de Paris (New York) 1956
B.S., M.S., Massachusetts Institute of Technology, 1960
Diplôme d'Études Supérieures, Université de Paris, 1962
Ph.D., Princeton University, 1966

Positions Held:


A. Research

  1. Turning a surface inside-out, Sc. Am. 214, No. 5 (1966), 112-120.
  2. Submersions of open manifolds, Topology 6 (1967), 171-206.
  3. Foliations on open manifolds, Comm. Math. Helv. 43 (1968), 204-211.
  4. Foliations on open manifolds, II, Comm. Math. Helv. 44 (1969), 367-370.
  5. Smooth maps transverse to a foliation, Bull. A.M.S. 76 (1970), 792-797.
  6. Smooth maps of constant rank. Bull. A.M.S. 80 (1974), 513-517.
  7. Geometry of leaves (with D. Sullivan), Topology 20 (1981), 209-218.
  8. The Euler cycle of a foliation (with D. Stone), J. Diff. Geom. 15 (1980), 39-50.
  9. Characteristic numbers of U(1)-valued lattice gauge fields, Ann. Phys. 161 (1985), 399-422.
  10. A reliable topological algorithm for the topological charge of SU(2) lattice gauge fields (with G. Lasher and D. Stone), Quark Confinement and Liberation, World Scientific (1985).
  11. Lattice gauge fields, principal bundles and the calculation of topological charge (with D. Stone), Commun. Math. Phys. 103 (1986), 599-636.
  12. Lattice gauge fields and Chern-Weil theory (with D. Stone), in Proceedings, (1985) Georgia Topology Conference, C. McCrory and T. Shifrin, eds. Lecture Notes in Pure and Applied Math. 105 Marcel Dekker, Inc., New York, (1987), 211-231.
  13. Lattice gauge fields and topology (with D. Stone) in Lattice Gauge Theory '86, H. Satz, I. Harrity and J. Potvin, eds., Plenum, New York, (1987).
  14. Computation of characteristic classes of lattice gauge fields (with D. Stone), Commun. Math. Physics. 131 (1990) 255-282
  15. An Algorithm for the detection of Abelian monopoles in SU(2)-valued Lattice gauge - Higgs systems (with D. Stone), Commun. Math. Physics. 137 (1991) 231-247
  16. A Topological Chern-Weil theory (with D. Stone), Memoirs of the Amer. Math. Soc. 105 #504, 79 pages, September 1993
  17. The Chern-Simons character of a lattice gauge field (with D. Stone), in Louis Kauffman and Randy Baadhio, (eds.), Quantum Topology, World Scientific 1993, 244-291 Abstract. Full text (PostScript).
  18. Self-intersection of curves on the punctured torus (with Moira Chas), Experimental Mathematics 19 (2010) 129-148
  19. Self-intersection of curves in the doubly-punctured plane (with Moira Chas) Experimental Mathematics 21:1 (2012), 26-37
  20. Almost simple geodesics on the triply punctured sphere (with Moira Chas and Curtis McMullen) Mathematische Zeitschrift 291 (2019) 1175-1196 (arXiv posting).
  21. Impossible configurations for geodesics on negatively-curved surfaces, Israel J. of Math. 245 (2021) 165–172 (arXiv posting).

B. Exposition, Reviews, Cultural Mathematics, etc.

  1. Topology (Entry in Encyclopedia Americana) (1970).
  2. Geometry's amazing new uses, Search 8 (1978), 28-35.
  3. Fiber Bundles and Quantum Theory (with H. Bernstein), Scientific Am. 245, No.1 (1981), 122-137. Translated in Uspekhi Fizicheskikh Nauk 136, 665-692 (1982)
  4. Review of "Geometric Theory of Foliations" by C. Camacho and A. Lins Neto, Amer. Math. Monthly 96 (1989) 71-76
  5. Topology of Labryrinths, in M. Emmer (ed.) L'occhio di Horus: itinerari nell'imaginario mathematico, Istituto della Enciclopedia Italiana, Roma (1989)
  6. The topology of Roman mosaic mazes, Leonardo 25 (1992) 321-329 (reprinted in Michele Emmer, (ed.), The Visual Mind: Art and Mathematics, MIT Press 1993, 65-73) Abstract.
  7. Editor, What's New in Mathematics (on AMS web-page : 2/1999 - 2/2002;
        Math in the Media (monthly column; now "Tony's Take") 2/1999 -
        Contributor to Feature Column 2/2002 - 8/2021
  8. Review of "The invention of Infinity" by J. V. Field, Notices of the Amer. Math. Soc 47,1 (2000) 46-50
  9. Review of "Fragments of Infinity" by Ivars Peterson, Notices of the Amer. Math. Soc 49,10 (2002)
  10. Il romanzo della contabilità in partita doppia [The romance of double-entry bookkeeping], in Matematica e Cultura 2003 (M. Emmer, ed.) Springer-Verlag Italia 2003
  11. Meander mazes on polysphericons, in The Visual Mind II (Michele Emmer, ed.) MIT Press 2005
  12. Review of "Shadows of Reality" by Tony Robbin, Notices of the Amer. Math. Soc. 54,4 (2007) 506-510
  13. Simmetrie fronte-retro in manufatti tessili del periodo pre-Inca [Front-back symmetries in Pre-Incan textiles], in Matematica e Cultura 2007 (M. Emmer, ed.) Springer-Verlag Italia 2007
  14. Sphere eversion sketches exhibited at the Walker Art Center, Minneapolis; an item in the show: "The Quick and the Dead", April-Sept. 2009
  15. Il canto delle maree [The song of the tides], in Matematica e Cultura 2011 (M. Emmer, ed.) Springer-Verlag Italia 2011
  16. Review of "Galileo's Muse: Renaissance Mathematics and the Arts" by Mark A. Peterson, Notices of the Amer. Math. Soc. Nov. 2012, 1435-1442
  17. Fragments of Three Tablets from Ur III Nippur with Drawings of Labyrinths (with Jöran Friberg), Chapter 14 in Jöran Friberg and Farouk N. Al-Rawi, New Mathematical Cuneiform Texts, Springer 2017
  18. The sound of topology: two-dimensional manifolds in Bach (with Eric L. Altschuler), The Musical Times, Winter 2015, 57-64
  19. A new type of classical labyrinth, from Mesopotamia (with Jöran Friberg), in Imagine Maths 5 (M. Emmer. ed.), UMI, Unione Matematica Italiana, Bologna & IVSLA, Istituto Veneto di Scienze, Lettere e Arti, Venice 2016
  20. Seventeen years of "Math in the Media" on the American Mathematical Society website, in Imagine Maths 5 (M. Emmer. ed.), UMI, Unione Matematica Italiana, Bologna & IVSLA, Istituto Veneto di Scienze, Lettere e Arti, Venice 2016
  21. The numbers behind Plimpton 322, N. A. B. U. (Notices Assyriologiques Brèves et Utilitaires) 2017/3, #84. For background, etc. see the arXiv posting, October 2015.
  22. Colored strip patterns and front-back symmetry in warp-faced pre-Colombian textiles, Leonardo 53 304-308 2020
  23. Colored figurative tilings in pre-Incan textiles, in Imagine Math 8, Michele Emmer and Marco Abate, eds., Springer, Cham, Switzerland, 2022 (
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