Sam Huckaba

Vita, March 2006

 

 

General

 

Education

Ph.D. Mathematics, Purdue University, 1986

M.S. Mathematics, Purdue University, 1983

B.A. Mathematics, University of Missouri, 1980

 

Professional History

Associate Dean, College of Arts & Sciences, 2004-

Associate Chair for Graduate Studies, 2000-2004

Professor, Florida State University, 1998-

Associate Professor, Florida State University, 1992-1998

Visiting Associate Professor, Purdue University, Spring 1997

Assistant Professor, Florida State University, 1987-92

Visiting Assistant Professor, University of Kentucky, 1986-87

Teaching Assistant, Purdue University, 1981-86

 

Awards

University Teaching Award, FSU, 2002

Developing Scholar Award, FSU, 1994

Teaching Incentive Program Award, FSU, 1994

University Teaching Award, FSU, 1991

Arts and Sciences Teaching Award, FSU, 1991

David Ross Fellow, Purdue University, 1984-86

Gerald R. Maclane Award (teaching, coursework), Purdue University, 1983

 

 

Research

 

Research Interests

Commutative Algebra

This is my primary area of research, specifically polynomial rings and ideals, Noetherian local rings, blowup algebras, and Hilbert-Samuel functions and polynomials.

 

Applications of Algebra

Topics include cryptology, coding theory, and biology.

 

Algebraic Geometry

This classical field contains the geometric side of commutative algebra and relies on commutative algebra machinery for many of its results.

 

Publications

1. On linear equivalence of the P-adic and P-symbolic topologies, J. of Pure and Applied Algebra 46(1987), 179-185.

 

2. Reduction numbers for ideals of analytic spread one, J. Algebra 108(1987), 503-512.

 

3. Reduction numbers for ideals of higher analytic spread, Math. Proc. Cambridge Philos. Soc. 102(1987), 49-57.

 

4. Symbolic powers of prime ideals with applications to hypersurface rings, Nagoya Math. J. 113(1989), 161-172.

 

5. Analytic spread modulo an element and symbolic Rees algebras, J. Algebra 128(1990), 306-320.

 

6. On complete d-sequences and the defining ideals of Rees algebras, Math. Proc. Cambridge Philos. Soc. 106(1989), 445-458.

 

7. Powers of ideals having small analytic deviation (with C. Huneke), Amer. J. Math. 114(1992), 367-403.

 

8. Rees algebras of ideals having small analytic deviation (with C. Huneke), Trans. Amer. Math. Soc. 339(1993), 373-402.

 

9. Depth properties of Rees algebras and associated graded rings (T. Marley), J. Algebra 156(1993), 259-271.

 

10. On graded rings associated to analytic deviation one ideals (with S. Goto), Amer. J. Math. 116(1994), 905-919.

 

11. Depth formulas for certain graded rings associated to an ideal (with

T. Marley), Nagoya Math. J. 133(1994), 57-69.

 

12. Reduction numbers, Rees algebras, and Pfaffian ideals (with I.M. Aberbach and C. Huneke), J. Pure and Appl. Algebra 102(1995), 1-15.

 

13. Reduction number bounds on analytic deviation 2 ideals and Cohen-Macaulayness of associated graded rings, (with I.M. Aberbach), Communications in Algebra 23(6)(1995), 2003-2026.

 

14. A d-dimensional extension of a lemma of Huneke's and formulas for the Hilbert coefficients, Proc. Amer. Math. Soc. 124(5)(1996), 1393-1401.

 

15. Hilbert coefficients and the depths of associated graded rings, (with T. Marley), J. London Math. Soc.(2), 56 (1997), 64-76.

 

16. On associated graded rings having almost maximal depth, Communications in Algebra 26(3) (1998), 967-976.

 

17. Normal ideals in regular rings, (with C. Huneke), J. reine angew. Math., 510 (1999), 63-82.

 

18. On associated graded rings of normal ideals, (with T. Marley), J. Algebra, 222 (1999), 146-163.

 

19. Length one ideal extensions and their associated graded rings, Communications in Algebra 33 (2005), 1-9.

 

Selected Talks

University of Missouri, December 1999, retirement conference

 

American Mathematical Society, regional meeting, University of Illinois, March 1999, session titled "Commutative algebra"

 

International commutative algebra conference in honor of David Rees, August 1998, Exeter, UK

 

American Mathematical Society, national meeting, San Francisco, January 1995, session titled Commutative Algebra - Rees Algebras

 

International Conference on Commutative Algebra (a satellite conference of the 1994 International Congress of Mathematics), August 1994, Vechta, Germany

 

Conference: Connections Between Commutative Algebra and Algebraic Geometry", University of Missouri, May 1993

 

American Mathematical Society, regional meeting, University of Tennessee, March 1993, session titled Commutative Ring Theory

 

University of Nebraska, April 1992, colloquium talk

 

American Mathematical Society, regional meeting, Southwest Missouri State University, March 1992, session titled Commutative Algebra

 

American Mathematical Society, national meeting, University of Maine, August 1991, session titled Commutative Algebra with Applications to Algebraic Geometry.

 

Washington University (St. Louis), December 1990, colloquium talk

 

American Mathematical Society, regional meeting, University of North Texas, November 1990, session titled Commutative Algebra University of Missouri, February 1989, colloquium talk

 

American Mathematical Society, regional meeting, University of Tennessee, March 1988, session titled Commutative Algebra

 

Piedmont Conference on Commutative Algebra, UNC-Charlotte, March 1987

 

American Mathematical Society, regional meeting, University of Missouri, November 1985, session titled Commutative Algebra

 

 

Research Grants

COFRS Summer Grant, FSU, 2002

National Security Agency, 1992-94

National Science Foundation, 1989

CRC Summer Grant for first year assistant professors, 1988

 

 

Teaching

 

Teaching Awards

Recognized in 1991 (twice), 1994, and 2002.

 

Ph.D. Student

Becky Goforth, Ph.D. April, 2005

Thesis Title:  Description and analysis of a two-variable version of the NTRU crypto system

 

Ph.D. Committees

Todd McDonald (current, Computer Science)

Willard Thompson (current, Computer Science)

Yelena Meadows (current, Math Ed)

Bill Adams (current, Math)

Andy Novocin (current, Math)

Hongmei Chi, Ph.D. 2004 (Computer Science)

Penelope Kirby, Ph.D. 1999 (Math)

Guang Fu, Ph.D. 1998 (Math)

Junesang Choi, Ph.D. 1991 (Math)

 

Masters Committees

Yelena Meadows, MS 2003 (Chair, Math)

Doug Windham, MS 2003 (Math)

Kit Kennedy, MS 2003 (Math)

Robert Watkins, MS 1997 (Math)

Sylvia McMichael, MS 1995 (Math)

Paul Fillmore, MS 1995 (Math)

Kim Haugh, MS 1995 (Math)

Randy Dean, MS 1992 (Math)

 

Honors Thesis Committees

Jane Ren, 2004, Computer Science

DJ Scott, 2003, Computer Science

 

Courses Taught at FSU

MAC 2311 Calculus 1                        F87,Sp89,F90,S94,Sp96,F97,S98,F00

MAC 2312 Calculus 2                        Sp88,F88,F89,Sp93,Sp94,Sp96,Sp98,F01

MAC 2313 Calculus 3                        Sp90,F96,S97,F97,Sp99

MAS 3105 Linear Alg                        Sp91,Sp92,Sp94,F94,S95,F95,S96,S99,S01,

S03,F03,S04

MAD 3104 Disc Math 1                     Sp88

MAD 3105 Disc Math 2                     F89

MAS 3301 Mod Algebra                    F89,S91,Sp04

MAS 4302 Intro Abs Alg1                 F94,F02

MAS 4302 Intro Abs Alg2                 Sp95,Sp03

MAS 5307 GRV 1                             F91,F95

MAS 5307 GRV 2                             Sp92,Sp96

MAS 5311 Abs Algebra 1                  F93,F96

MAS 5311 Abs Algebra 2                  Sp94

MAS 6938 Algebra Seminar              F88,Sp89,F90,Sp91,Sp93,F01,Sp02,F02

MAS 6936 Comm Alg 1                    F98

MAS 6936 Comm Alg 2                    Sp99

MAT 4906 Topics in Alg                   F01,Sp02

MAT 5907 Adv Topics  Alg              S98,S99

 

 

Service

 

Administrative Service

Associate Dean for Student Affairs, College of Arts and Sciences, 2004-

Associate Chair for Graduate Studies, Mathematics, 2000-2004

 

Activity, DeanŐs Office

Responsible for the student affairs division of the college, an office that includes a staff of seven.  Serve in an advisory capacity, along with the other associate deans, to the Dean of Arts & Sciences.   Maintain a substantial committee presence, both within the college and at the university level. 

 

Activity, Mathematics

2003-04

Graduate Committee (Chair), Executive Committee, Faculty Evaluation Committee, Elections Committee, Goodner Teaching Award Committee, University Fulbright Committee, AMS Regional Meeting Committee

 

2002-03

Graduate Committee (Chair), Executive Committee, Faculty Evaluation Committee, Elections Committee, Goodner Teaching Award Committee, University Fulbright Committee, Faculty Senate

 

2001-02

Graduate Committee (Chair), Executive Committee, Faculty Evaluation Committee, Elections Committee, Goodner Teaching Award Committee, Chair Search Committee, University Fulbright Committee, Faculty Senate.

 

2000-01

Graduate Committee (Chair), Executive Committee, Faculty Evaluation Committee, Elections Committee, Goodner Teaching Award Committee.

 

1999-00

On leave.

 

1998-99

Prelim Exam Committee (Chair), Faculty Evaluation Committee, Elections Committee, Chair Search Committee, Symbolic Computation Search Committee.

 

1997-98

Prelim Exam Committee, Calculus Committee (Chair), Faculty Evaluation Commitee, Elections Committee.

 

1996-97

Prelim Exam Committee, Elections Committee, University Council on Teaching.

 

1995-96

Faculty Evaluation Committee, Graduate Financial Aid and Recruitment Committee, Departmental TIP Committee, Elections Committee, University TIP Committee, University Council on Teaching.

 

1994-95

Faculty Evaluation Committee, Graduate Financial Aid and Recruitment Committee, Departmental TIP Committee,  Elections Committee, Colloquium Committee, A&S College TIP Committee, Doctoral Review Committee for the Department of Urban and Regional Planning, University Council on Teaching.

 

1993-94

Graduate Financial Aid Committee, Elections Committee.

 

1992-93

Curriculum Committee, Elections Committee.

 

1991-92

Undergraduate Curriculum Self-Study Committee, Linear Algebra Textbook

Committee (Chair), Elections Committee.

 

1990-91

Curriculum Committee, Colloquium Committee, Elections Committee.

 

1989-90

Curriculum Committee.

 

1988-89

Calculus Textbook Committee.

 

Professional Service

Refereeing and Reviewing:

J. London Mathematical Society

J. of Algebra

Proc. American Math. Soc.

J. Pure and Applied Algebra

Pacific J.  Mathematics

Canadian J. Mathematics

Communications in Algebra

Composito Mathematics

Mount Holyoke Proceedings

Trieste Proceedings

Mathematical Reviews

Proposal Evaluations:

NSF proposals, yearly

NSF Panel Review

National Security Agency proposals

Textbook Reviews

 

Conference Organization

American Mathematical Society, regional meeting, March 1995, Orlando, FL, session titled Commutative Algebra