Curriculum Vitae
April 2009
STEVEN SPERBER
School of Mathematics
University of Minnesota
Minneapolis, MN 55455
(612) 6254374

Home Address: 645 Goodrich Ave.
St. Paul, MN 55105
(612) 222-4904
e-mail: sperber@math.umn.edu
Born: May 25, 1945, Brooklyn, New York
Family: Wife: Barbara, Children: Jacob, Rebecca

Ph.D.: 1975, University of Pennsylvania
Thesis Advisors: Bernard Dwork (Princeton) and Stephen Shatz (University of Pennsylvania)

POSITIONS

Instructor, York College (CUNY) Jamaica, N.Y., 1971-73
Adjunct Lecturer, Herbert Lehman College (CUNY), Bronx, N.Y., 1974-75
Lecturer, University of Illinois, 1975-77
Assistant Professor, University of Minnesota, 1977-80
Associate Professor, University of Minnesota, 1980-1983
Professor, University of Minnesota, 1983- present

VISITING POSITIONS

Member, Institute for Advanced Study, Princeton, N.J., 1978-79
Visiting Associate Professor, Princeton University, 1982-83
University of Padua, May-June 1981
E.N.S. (jeunes filles), November 1984
Member, Institute for Advanced Study, Princeton, NJ 1986-7
Member, Institute for Advanced Study, Princeton, NJ Fall 1987
M.S.R.I., Berkeley, April 1987
MUCIA - Moscow State University AugustSeptember 1987
University of Bordeaux April-May 1989
IHES, Bures-sur-yvette, June-July, 1989
Katholicke Universiteit Leuven, April 1990
University of Padua, June 1994
Oklahoma State University, Fall 1997
Princeton University, 2003-2004, Visiting Professor (sabbatical)
IHES, Bures-sur-yvette, May 2010

AREAS OF RESEARCH INTEREST

Arithmetic Algebraic Geometry, Number Theory, p-Adic Differential Equations

HONORS

Phi Beta Kappa, Sigma Xi, Summa cum Laude
Competitive fellowships and awards won
Woodrow Wilson Fellowship, NSF Fellowship, 1966
NSF Summer Traineeship, 1969
NSF Research Grants, 1976-94

INVITED TALKS, COLLOQUIA, SYMPOSIA

1. Virginia Polytechnic Institute, April 1971
2. University of Georgia, February 1977
3. University of Minnesota, February 1977
4. University of Kentucky, March 1977
5. Dartmouth University, March 1977
6. University of California - Irvine, December 1977
7. Princeton University, February 1979
8. University of Pennsylvania, March 1979
9. Organizer, AMS Special Session “p-Adic Analysis in Number Theory and Geometry“, 1979, Duluth, Minnesota
10. Oberwohlfach, Conference on p-Adic Analysis, November 1980
11. University of Padua, June-July 1981 (8 lectures)
12. University of Trieste, June 1981
13. University of Nice, July 1981
14. AMS Special Session, “Cohomological Methods in Number Theory”, Madison, Wis- consin, April 1982
15. University of Massachusetts, October 1982
16. Princeton University, September 1982
17. University of Pennsylvania, October 1982
18. Oberwohlfach, Conference on Arithmetic Algebraic Geometry, August 1983
19. AMS Special Session “Local fields in Number Theory and Geometry”, November 1983, Evanston, Illinois
20. Seminar, “Groupe d’etude d’analyse ultrametrique”, Paris, November 1984
21. Seminar, Theorie des Nombres (Seminaire Delange-Pisot-Poitou), November 1984
22. University of Rennes, November 1984
23. University of Bordeaux, November 1984
24. AMS Special Session “Ordinary Differential Equations”, Anaheim, California, January 1985
25. Princeton University, November 1986
26. University of Pennsylvania, December 1986
27. Pennsylvania State University, December 1986
28. Institute for Advanced Study, February 1987
29. University of Massachusetts, March 1987
30. Brooklyn College, March 1987
31. Berkeley MSRI, April 1987
32. University of Rochester October 1987
33. Boston University November 1987
34. Moscow State University (2 lectures), September 1987
35. Stevens Institute of Technology, December 1987
36. Oberwolfach, Conference on Arithmetic Algebraic Geometry, July 1988
37. Seminar, Theorie des Nombres (Seminaire Delange Pisot Poitou), April 1989, Paris
38. Seminar “Groupe d’etude d’analyse ultrametrique”, Paris, April 1989
39. Seminar, Theorie des Nombres, Universite de Bordeaux, May 5, 1989
40. University of Rennes, May 1989
41. Conference on Analytic Number Theory, Modular Forms and RElated Topics, Uni- versite de Montreal, Centre de Recherches Mathematiques, June 1989.
42. Organizer, Special session on “Number Theory and Geometry”, AMS meeting, Muncie, Indiana, October 1989
43. AMS Hour Speaker, Meeting, in Muncie, Indiana, October 1989
44. International Conference on Interaction of Algebraic Geometry and Coding Theory with Special Emphasis on Exponential Sums and Their Applications, University of Puerto Rico at Rio Piedras, January 1990 (A principal speaker)
45. Katholieke Universiteit, Leuven Belgium, March 31April 14, 1990 (8 hours lectures)
46. AMS Special Session on Meromorphic Differential Equations, Portland, Oregon, June 1416, 1991
47. Colloquium, University of Nevada, Las Vegas, May 1992
48. Organizer and speaker, Special session on “Topology of Affine Hypersurfaces and Number Theory”, Dayton, Ohio October 1992
49. Workshop on Hodge Theory and Crystalline Cohomology, (hour speaker), MSRI, March 1993
50. Conference honoring JI Igusa “Zeta functions in Number Theory and Geometric Anal- ysis”, (hour speaker), Johns Hopkins University, March 1993
51. Colloquium, Oklahoma State University, Stillwater, Oklahoma, April 1993 52. University of Padua, June 1994
53. Colloquium, University of Nevada, Las Vegas, March 1995
54. Conference on Analytic Number Theory and Exponential Sums in honor of Christo- pher Hooley, Cardiff, Wales, July 1995
55. Oberwolfach meeting on Arithmetic Algebraic Geometry, July 1996 (hour speaker)
56. Joint Summer Research Conference (AMS, IMA, SIAM), Applications of Curves over Finite Fields, July 1997, Seattle
57. Colloquium, Oklahoma State University, Stillwater, Oklahoma, November 1997
58. International Workshop on Equidistribuiton in Arithmetic and Exponential Sums, Hebrew University, Jerusalem, January 1998 (hour speaker)
59. Research visitor, Universita di Padova, January 10-17, 2000
60. Organizing Committee, International Conference “Convegno Dwork”, Italy, May 20- July 10, 2001
61. Workshop on “Geometric Aspects of Dwork Theory” (2 hour speaker) Padova, Italy, June 2001
62. Dwork Memorial Conference (hour speaker), Bressanone, Italy, July 2001
63. Organizer, Special Session on Arithmetic Algebraic Geometry, Joint AMSMATH Soc. of Italy, Pisa, June 2002.
64. Invited senior lecturer (8 hours), Institute of Math., Beijing, Morningside Center for Mathematics, Chinese Academy of Sciences, and University of Sichuan, China, 2002
65. Invited participant, Special year in Algebraic Geometry and Topology, Canberra, Aus- tralian National University, 2003
66. Invited participant, conference on 60th birthday of P. Berthelot, Rennes, France, June 2003
67. Invited participant, Conference on 60th birthday of J-P Ramis, Strasbourg, France, September 2003
68. Invited participant, Conference on 60th birthday of N.M. Katz, Princeton, N.J., December 2003
69. Princeton University, Number Theory Seminar, November 2003
70. University of Pennsylvania, Algebra Seminar, February 2004
71. Texas A& M, Number Theory Seminar, February 2004
72. Princeton University, Algebraic Geometry Seminar, March 2004
73. University of Barcelona, Algebraic Geometry Seminar, May 2004
74. Organizer (with Uli Walther), Special Session, Dmodules and p-adic analysis, Atlanta AMS annual meeting, January 2005
75. Invited hour speaker, Conference on Algebraic Geometry, Gainesville, Florida, March 2005
76. Participant IMA special year in Applications of Algebraic Geometry (2006-07)
77. Participant Workshop IMA, “Algorithms in Algebraic Geometry”, September 2006
78. Participant, Workshop IMA, “Complexity, Coding Theory and Communication”, April 2007
79. Invited hour speaker, Centre Bernoulli, University of Lausanne, Switzerland, Program on Algebraic, Symplectic Geometry and Physics, p-Adic Aspects of Differential Equations, November 5-8, 2007.
80. University of Rochester, Number Theory Seminar, December 2007
81. AMS Meeting, Bloomington, Indiana, April 2008, Special Session on D-modules.
82. SUNY, Buffalo, Algebra Seminar, March 2009
83. Invited participant, Jaca, Spain, Conference on "Topology of Algebraic Varieties" June 2009.
84. Invited visit, IHES, Bures-sur-Yvette, May 2010
85. Invited Speaker (7 hours), Instructional school on p-adic Cohomology, June, 2010
86. Invited visit, one month, Sichuan University, Chengdu, China, 2010.

Ph.D STUDENTS

M. Carpentier, 1985, “p-Adic Cohomology of Generalized Hyperkloosterman Sums”, presently at Paris VI.

UNIVERSITY SERVICE

Senate Committee on Educational Policy (SCEP), 1998-2001
(Subcommittees: Peer Evaluation of Teaching, 1998-1999;
Graduation, Degree, and Credit, 2000-2001;
Classroom Advisory Subcommittee, 2000-2003)

SABBATICAL SUPPORT

1986-87 Institute for Advanced Study
2003-2004 – Princeton University

PUBLICATIONS

l. “p-Adic Hypergeometric Functions and Their Cohomology”, Duke Math J., V. 44, 1977.
2. “Congruence Properties of Hyperkloosterman Sums”, Compositio Mathematica, V. 40, 1980.
3. “On the L-functions Associated with Certain Exponential Sums”, J. Number Theory, V. 12, 1980.
4. (with A. Adolphson) “Exponential Sums Defined on the Complement of a Hypersur- face”, Am. J. Math., V. 102, 1980.
5. (with Y. Sibuya) “Some New Results on Power-Series Solutions of Algebraic Differ- ential Equations”, Singular Perturbations and Asymptotics, ed. by R.E. Meyer and S.V. Parter, Academic Press, 1980.
6. (with Y. Sibuya) “Convergence of Power-Series Solutions of p-Adic Nonlinear Dif- ferential Equations”, in Recent Advances in Differential Equations, ed. by R. Conti, Academic Press, 1981.
7. (with Y. Sibuya) “Arithmetic Properties of Power-Series Solutions of Algebraic Dif- ferential Equations”, Annals of Math, V. 113, 1981.
8. (with E. Bombieri) “On the p-Adic Analyticity of Solutions of Linear Differential Equations, Ill. J. Math. V. 26, #1, 1982.
9. (with A. Adolphson and B. Dwork) “p-Adic Growth of Solutions of Linear Differential Equations at a Logarithmic Singularity”, Trans. Am. Math. Soc., V. 271, 1982.
10. (with Y. Sibuya) “Power-Series Solutions of Algebraic Differential Equations”, Lecture Notes, IRMA, Universite de Strasbourg, 1982.
11. (with A. Adolphson) “Twisted Kloosterman Sums and p-Adic Bessel Functions”, Am. J. Math. V. 106, 1984.
12. (with A. Adolphson) “Character Sums over Finite Fields”, Compositio Mathematica V. 52, 1984.
13. “Newton Polygons of Generalized Kloosterman Sums”, Asterisque, 119-120, 1984. 14. “On the p-Adic Theory of Exponential Sums”, to appear, Am. J. Math.
15. (with Y. Sibuya) “On the p-adic Continuation of the Logarithmic Derivative of Certain Hypergeometric Functions”, to appear in Proceeding of Groupe d’etude d’Analyse Ultrametrique.
16. “Monodromy, Gauss Sums, and the Slopes of Frobenius for Generalized Hyperkloost- erman Sums”, to appear Seminaire de Theorie des Nombres, Paris 1984-85, (Seminaire Delange-Pisot-Poitou).
17. (with A. Adolphson), Twisted Kloosterman Sums and p-Adic Bessel Functions, II. Newton Polygons and Analytic continuation, American J. Math., V. 109, 1987, 723764.
18. “On Differential Equations whose solutions satisfy certain Algebraic Relations”, Pacific J. Math. 124 (1986), no. 1, 249--256.
19. (with A. Adolphson) “Newton polyhedra and the degree of the L-function associated to an exponential sum ”, Inventiones Math., vol. 88, 1987, 555-569.
20. (with A. Adolphson) “p-Adic Estimates for Exponential Sums and the Theorem of Chevalley-Warning”, Annales Scient. Ec. Norm. Sup., 4 Serie, t. 20, 1987, 545556.
21. (with A. Adolphson) “On the Degree of the Lfunction Associated with an Exponential Sum”, Compositio Math., 1988.
22. (with A. Adolphson) “Exponetial sums and Newton Polyhedra” research announce- ment, Bull A.M.S., V. 16, 2, 1987, 282286.
23. (with A. Adolphson) “Exponential sums and Newton Polyhedra”, Annals of Math 130 1989, 367-406.
24. (with E. Bombieri) “On the degree of Artin L-functions in characteristic p Comptes Rendus de l’Acad. des Sciences, t. 306, serie I, 9, 1988, 393-398.
25. (with A. Adolphson) “Exponential Sums on (G_m)^n” Inventionec Math., 101, 63-79, 1990.
26. (with A. Adolphson) “Exponential Sums on ((F_q)∗ )n ”, research announcement, Proceed- ings of Conference on Automorphic Forms and Analytic Number Theory, Montreal, June 1989.
27. (with A. Adolphson) “p-adic estimates for exponential sums” Proceedings of a Con- ference on p-adic Analysis and Cohomology, Trento, Italy. “p-adic Analysis”, Lecture Notes in Mathematics 1454, Springer-Verlag.
28. (with A. Adolphson) “On Twisted Exponential Sums” Math Annalen 1991, 114.
29. (with B. Dwork) “Logarithmic Decay and Overconvergence of Unit Root Zeta Function” Ann. Sci. E.N.S., 4e Serie, t.24 1991, 575-604.
30. (with E. Bombieri) “On the Estimation of Certain Exponential Sums”, Acta Arith- metica, 49 (1995), 329-358.
31. (with A. Adolphson) “Twisted exponential sums and Newton Polyhedra”, J. Reine Angew. Math, 443, (1993), 151-177.
32. (with A. Libgober) “On the zeta function of monodromy for polynomial maps”, Compositio Math., 95 (1995), 287-307
33. (with A. Adolphson) “Differential modules defined by systems of equaitons”, Rend. Sem. Mat. Univ. Padova, 95 (1996), 37-57.
34. (with A. Adolphson) “On the zeta function of a complete intersection” Ann. Sc. E.N.S. 29 (1996), 287-328.
35. (with A. Adolphson) “On twisted deRham cohomology”, Nagoya J. Math. 146, 1997, 55-81.
36. (with A. Adolphson) “Dwork cohomology, deRham cohomology and hypergeometric functions” Commemorative Volume dedication to H. Turittin, 1998
37. (with A. Adolphson), “A remark on local cohomology”, J. of Algebra, v. 206, 1998, 555-567.
38. (with A. Adolphson), “On the degree of the zeta function of a complete intersection” Contemporary Math Series of A.M.S., ed. M. Fried, v. 245, 1999.
39. (with A. Adolphson), “Dwork cohomology, deRham cohomology, and hypergeometric function” (Note: this is NOT the same work as the paper #36 with same title), Am. J. Math., vol. 122, 2000, 319-348.
40. (with A. Adolphaon), “Exponential Sums on (A)^n ,I, V. 120, Part A, Israel J. Math., 2000, 3-22.
41. (with A. Adolphson), “Exponential Sums on (A)^n , III”, Manuscripta Math, 192, 429- 446, 2000.
42. (with J. Denef), “Exponential Sums mod P n and Newton Polyhedra”, Bulletin of Belgian Math. Society, 2001, Suppl., 55-63.
43. (with A. Adolphson), “Exponential sums on (A)^n , II”, Trans. A.M.S., 2004, 345-356.
44. (with A. Adolphson), “Exponential Sums and Free Hyperplane Arrangements”, (2004) “Geometric Aspects of Dwork’s Theory” (refereed), volume I Walter de Gruyter, Berlin.
45. (with A. Adolphson), “On the Jacobian ring of a complete intersection”, J. of Algebra, 304, 2006, 1193-1227.
46. (with A. Adolphson), “On the zeta function of a projective complete intersection”, Ill. J. Math,52, 2009, no.2.
47. (with A.Adolphson), "Exponential Sums on (A)^n, IV," Int'l J of Number Theory, 5 2009 no. 5

48. (with A. Adolphson), "Exponential sums nondegenerate relative to a lattice," Alg and Number Theory, 3, 2009, no.8

TEACHING ACTIVITIES

(UNITE) 1261-1993
(UNITE) 3261-1995
IT Honors Calculus 1511,1512,1513 – 1996-97
IT Honors Advanced Placement Calculus 1552-1553, 3551, 1998-99
IT Honors Advanced Placement Calculus 3552, Fall 1999
IT Honors Advanced Placement Calculus 1572, 2573 – 2000-01
IT Honors Advanced Placement Calculus 3574, Fall 2001
Mathematics Honors Advanced Placement Calculus, 3592H-3593H, 2002-2003
Summer Honors College (Extension) “Error correcting Codes”, June 16-28, 2002
Princeton University, Honors Linear Algebra (Math 217), Fall 2003
Mathematics Honors Advanced Placement Calculus 3592H-3593H, 2004-2005
IT Honors Advanced Placement Calculus 2573-74H
Undergraduate Honors Algebra 5285-6H
Mentor: IMA postdoc John Voight
Summer Reading course on Algebraic Number Theory (students:Hank,Bergdall, Lynn, Ali, Switala)
Directed reading course in Algebraic Number Theory, fall 2007, (Switala)
Supervising senior honors thesis (Switala), spring 2008
Supervising senior honors thesis (Vacek), spring 2009

DEPARTMENT SERVICE

In charge of Math Honors Program and Math Honors Advising (2006-present)