VITA: Anthony V. Phillips

Date and Place of Birth:

Degrees:

Positions Held:

• Instructor, University of California, Berkeley, 1965-1967
• Lecturer, University of California, Berkeley, 1967-1968
• Assistant Professor, SUNY at Stony Brook, 1968-1970
• Participant in National Academy of Sciences - Soviet Academy Exchange, Steklov Institute, Moscow, Spring term - 1969
• Associate Professor, SUNY at Stony Brook, 1970-1974
• Member, Institute for Advanced Study, 1971-1972
• Professor, SUNY at Stony Brook, 1974-present
• Visiting Professor, PUC-Rio de Janeiro, Fall, 1975
• Visiting Professor, Université Paris VII, 1977-1978
• Visiting Professor, Scuola Normale Superiore, Pisa, Fall, 1985
• Visitor, Deutsches Elektronen-Synchrotron (DESY), Hamburg, March, 1986
• Visiting Professor, University of Rome ``La Sapienza,'' Spring, 1986
• Head Coach, Summer Institute, Geometry Center, University of Minnesota, Summers 1992-1995
• Visiting Professor, Summer School, Universidade Federal de Pernambuco, Recife, January 1996
• Co-Chair, Mathematics Department, SUNY at Stony Brook 1996-97
• Chair, 1997-2000
• Acting Director, Mathematics Secondary Teacher Preparation Program 2000-2002
• Visiting Fellow, Yale University, Spring 2002
• Co-director, Mathematics Secondary Teacher Preparation Program 2002
• Associate Dean for Curriculum, College of Arts and Sciences 2003-2006
• Mathematics Executive Officer, Simons Center for Geometry and Physics 2008
• Director, Mathematics Secondary Teacher Preparation Program 2009-

Publications:

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. Topology (Entry in Encyclopedia Americana) (1970).
7. Smooth maps of constant rank. Bull. A.M.S. 80 (1974), 513-517.
8. Geometry's amazing new uses, Search 8 (1978), 28-35.
9. Geometry of leaves (with D. Sullivan), Topology 20 (1981), 209-218.
10. The Euler cycle of a foliation (with D. Stone), J. Diff. Geom., 15 (1980), 39-50.
11. Fiber Bundles and Quantum Theory (with H. Bernstein), Scientific Am., 245, No.1 (1981), 122-137.
12. Characteristic numbers of U(1)-valued lattice gauge fields, Ann. Phys., 161 (1985), 399-422.
13. 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).
14. Lattice gauge fields, principal bundles and the calculation of topological charge (with D. Stone), Commun. Math. Phys., 103 (1986), 599-636.
15. 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.
16. 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).
17. Review of ``Geometric Theory of Foliations'' by C. Camacho and A. Lins Neto, Amer. Math. Monthly. 96 (1989) 71-76
18. Topology of Labryrinths, in M. Emmer (ed.) ``L'occhio di Horus: itinerari nell'imaginario mathematico,'' Istituto della Enciclopedia Italiana, Roma (1989)
19. Computation of characteristic classes of lattice gauge fields (with D. Stone), Commun. Math. Physics. 131 (1990) 255-282
20. 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
21. 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.
22. A Topological Chern-Weil theory (with D. Stone), Memoirs of the Amer. Math. Soc. 105 #504, 79 pages, September 1993
23. 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.
24. Editor, What's New in Mathematics (on AMS web-page : http://www.ams.org) 2/1999 - 2/2002;
        Math in the Media (monthly column) 2/1999 -
25. Review of "The invention of Infinity" by J. V. Field, Notices of the Amer. Math. Soc 47,1 (2000) 46-50
26. Review of "Fragments of Infinity" by Ivars Peterson, Notices of the Amer. Math. Soc 49,10 (2002)
27. Il romanzo della contabilità in partita doppia, in Matematica e Cultura 2003 (M. Emmer, ed.) Springer-Verlag Italia 2003
28. Meander mazes on polysphericons, in The Visual Mind II (Michele Emmer, ed.) MIT Press 2005
29. Review of "Shadows of Reality" by Tony Robbin, Notices of the Amer. Math. Soc. 54,4 (2007) 506-510
30. Simmetrie fronte-retro in manufatti tessili del periodo pre-Inca, in Matematica e Cultura 2007 (M. Emmer, ed.) Springer-Verlag Italia 2007
31. Self-intersection of curves on the punctured torus (with Moira Chas), to appear in Experimental Mathematics (2009)