CURRICULUM VITAE
Clinton Graydon McCrory
EDUCATION:
1968 BS in Mathematics, Massachusetts Institute of Technology
1970 MA in Mathematics, Brandeis University
1972 PhD in Mathematics, Brandeis University
Thesis: Poincaré Duality in Spaces with Singularities
Advisor: Jerome
P. Levine
ACADEMIC HONORS:
1964 Presidential Scholar from South Carolina
1968 Sigma Xi (M.I.T.)
1972 Leverhulme Fellow (United Kingdom)
1995 Beaver Teaching Award (University of Georgia)
1997 McCay Faculty Award (Mathematics Department, University of
Georgia)
2007 General Sandy Beaver Teaching Professorship (University of Georgia)
PROFESSIONAL APPOINTMENTS:
1972-73 Visiting Lecturer, University of Warwick
1973-74 Member, Institute for Advanced Study
1974-76 Tamarkin Instructor, Brown University
1976-80 Assistant Professor, Brown University
1980-86 Associate Professor, University of Georgia
1986-07 Professor, University of Georgia
2001-07 Director, Mathematics Department VIGRE Program, University of Georgia
VISITING POSITIONS:
1980 (Spring) University of Warwick, University of Pisa
1981 (April) Institut des Hautes Études Scientifiques
1982 (September) University of Pisa
1986 (Fall) Mathematical Sciences Research Institute
1989 (Spring) University of Warwick
1990 (October) University of Sao Paulo at Sao Carlos
1992 (Fall) Mathematical Sciences Research Institute
1993 (November) University of Sydney
1994 (December) University of Sydney
1996 (December) University of Angers
1998 (Spring) University of Angers (Chercheur Associé,
CNRS)
2000 (Spring) University of Warwick, University of Angers
2004 (Spring) Mathematical Sciences Research Institute, University of
Angers
2005 (Fall) Institut Henri Poincaré
RECENT GRANT SUPPORT:
2001-07 NSF DMS-0089927, Principal Investigator (with A. Granville et
al.), VIGRE grant (Vertical Integration of Research and Education in
Mathematics).
2000-04 Mathematics Curriculum Team, GSTEP (Georgia Systemic Teacher
Education Program).
2005-07 NSF DUE-0509899, Principal Investigator, Interactive Internet-Based Teaching of Multivariable Calculus and Geometry.
GRADUATE STUDENTS:
Brown University: Edwin Kokubun (MA 1975), Karen Roothaan (MA 1978),
Janine
Clookey (MA 1980), James Sheehan (MA 1981), Barry
Hill-Tout (PhD 1983).
University of Georgia: Mark
Faucette (MA 1983), Shoji Yokura (PhD 1984), Janice Brown (MA
1986), Lazar Milin (PhD 1987), Chris
Sligar (PhD 1990), Scott Corley (MA 1995), Mu Yeol Park (PhD
1997), Michelle
LeMasurier (PhD 1998), Eddie
Fuller (PhD 1999), Val Hower (PhD 2007), Emille Davie (PhD 2007).
PUBLICATIONS:
1. Euler singularities and homology operations, Amer. Math. Soc.
Proc. Symp. Pure Math. 27 (1975), 371-380. MR 51:14089.
2. Cone complexes and PL transversality, Trans. Amer. Math. Soc. 207
(1975), 269-291. MR 53:4078.
3. Cobordism operations and singularities of maps, Bull. Amer. Math.
Soc. 82 (1976), 281-283. MR 54:3718.
4. Cone bundles, Trans. Amer. Math. Soc. 228 (1977), 157-163. MR
55:11261.
5. A characterization of homology manifolds, J. London Math. Soc. (2)
16 (1977), 146-159. MR 56:3846.
6. (with T. Banchoff) Whitney duality and singularities of
projections, Geometry and Topology , Rio de Janeiro 1976, Springer
Lecture Notes in Math. 597 (1977), 68-81. MR 56:6678.
7. Stratified general position, Algebraic and Geometric Topology,
Santa Barbara 1977, Springer Lecture Notes in Math. 664 (1978),
142-146. MR 80m:57016.
8. Geometric homology operations, Studies in Algebraic Topology,
Advances in Math. Suppl. Studies, vol. 5 (1978), 119-141. MR
80j:57016.
9. Zeeman's filtration of homology, Trans. Amer. Math. Soc. 250
(1979), 147-166. MR 81b:55002.
10. (with T. Banchoff) A combinatorial formula for normal
Stiefel-Whitney classes, Proc. Amer. Math. Soc. 76 (1979), 171-177.
MR 80h:57031.
11. (with J. Blanton) An axiomatic proof of Stiefel's conjecture,
Proc. Amer. Math. Soc. 77 (1979), 404-414. MR 80k:55052.
12. (with R. Hardt) Steenrod operations in subanalytic homology,
Compositio Math. 39 (1979), 333-371. MR 82b:55019.
13. (with T. Banchoff and T. Gaffney) Cusps of Gauss Mappings,
Research Notes in Mathematics, No. 55, Pitman Publishing Ltd., London
1982. MR 84a:48001. Second edition (with Daniel Dreibelbis): web
publication http://www.emis.de/monographs/CGM/.
14. On the topology of Deligne's weight filtration, Amer. Math. Soc.
Proc. Symp. Pure Math. 40 (1983), part 2, 217-226. MR 85f:14020.
15. (with T. Shifrin) Cusps of the projective Gauss map, J. Diff.
Geom. 19 (1984), 257-276. MR 85m:14070.
16. Massey products in singularity links, Duke Math. Journal 51
(1984), 691-697. MR 86a:32038.
17. (with T. Banchoff and T. Gaffney) Counting tritangent planes of
space curves, Topology 24 (1985), 15-23. MR 86m:58028a.
18. (with T. Shifrin and R. Varley) The Gauss map of a generic
hypersurface in P4, J. Diff. Geom. 30 (1989), 689-759. MR
91f:14039.
19. Configuration spaces of simplicial spheres, IV Convegno Nazionale
di Topologia, Sorrento 1988, Rend. Circolo Mat. Palermo, Suppl. ser.
II, no. 24 (1990), 159-168. MR 93b:57023.
20. (with M. Adams, T. Shifrin and R. Varley), Symmetric Lagrangian
singularities and Gauss maps of theta divisors, Singularity Theory
and its Applications, Part I, D. Mond and J. Montaldi, eds., Springer
Lecture Notes in Math. 1462 (1991), 1-26. MR 92j:14033.
21. (with T. Shifrin and R. Varley) The Gauss map of a genus three
theta divisor, Trans. Amer. Math. Soc. 331 (1992), 727-750. MR
92h:14019.
22. (with M. Adams, T. Shifrin and R. Varley) Invariants of Gauss
maps of theta divisors, Amer. Math. Soc. Proc. Symp. Pure Math. vol.
54, part 2 (1993) 1-8. MR 94a:00011.
23. (with Juan J. Nuno Ballesteros and M. Carmen Romero-Fuster)
Self-translation surfaces, Matematica Contemporanea 5 (1993),
61-76.
24. (with G. Kennedy and S. Yokura) Natural transformations from
constructible functions to homology, C. R. Acad. Sci. Paris,
Série I, 319 (1994), 969-973. MR 96a:57059.
25. (with T. Shifrin and R. Varley) Siegel modular forms generated by
invariants of cubic hypersurfaces, J. Algebraic Geometry, 4 (1995),
527-556. MR 95m:14018.
26. (with J. Fu) Stiefel-Whitney classes and the conormal cycle of a
real analytic variety, Trans. Amer. Math. Soc. 349 (1997), 809-835.
MR 97h:32009.
27. (with A. Parusinski) Complex monodromy and the topology of real
algebraic sets, Compositio Math. 106 (1997), 211-233. MR
98d:14075.
28. (with A. Parusinski) Algebraically constructible functions, Ann.
Sci. École Norm. Sup. Paris 30 (1997), 527-552. MR
98f:14047.
29. (with M. Adams, T. Shifrin, and R. Varley) Conic Lagrangian
singularities, Topology and Its Applications 88 (1998), 155-178. MR
99i:57049.
30. (with A. Parusinski) Topology of real algebraic sets of dimension
4: necessary conditions, Topology 39 (2000), 495-523. MR
2000m:14060.
31. How to show a set is not algebraic, Algorithmic and Quantitative
Real Algebraic Geometry (S. Basu and L. Gonzalez-Vega, eds.), DIMACS
Series, vol. 60, Amer. Math. Soc. 2003, 77-82.
32. (with A. Parusinski) Virtual Betti numbers of real algebraic
varieties, Comptes Rendus Acad. Sci. Paris, Ser. I, 336 (2003),
763-768.
33. (with F. Bihan, M. Franz, and J. van Hamel) Is every toric variety an M-variety?, Manuscripta Math. 120 (2006), 217-232.
34. (with A. Parusinski) Algebraically constructible functions: real algebra and topology, Panoramas & Syntheses 23, Soc. Math. France 2007, 68-85.
RECENT INVITED LECTURES:
2000 Southeast Geometry Conference (College of Charleston).
2001 DIMACS Workshop on Real Algebraic Geometry (Rutgers
University)
2002 AMS Eastern Section Meeting – Special Session on Singularities
(Northeastern University), University of South Carolina
2003 Winter School: RAAG & Motivic Integration (CNRS Centre Paul
Langevin, Aussois, France), Southeast Geometry Conference (College of
Charleston), Scuola Normale Superiore (Pisa, Italy), Georgia
Institute of Technology, Brown University.
2004 MSRI Workshop on Topology of Real Algebraic Varieties,
University of Rennes (France), CIRM Conference on Stratifications
(Luminy, France)
2005
AMS Joint Mathematics Meetings – Special Session on Algorithmic Algebraic and Analytic Geometry (Atlanta), University of Chambéry (France)
2006 European Mathematical Society (University of Nantes)
(This page was last revised on August 19, 2007.)