Anant P.
Godbole
Curriculum Vitæ
September 2006
Department
of Mathematics,
Telephones:
(423)-439-5359/4349 (Work), (423)-282-2086 (Home)
E-mail:
godbolea@etsu.edu; FAX: (423)-439-8361;
Website:
http://www.etsu.edu/math/godbole/anant.htm
REU
Homepage: http://www.etsu.edu/math/godbole/nsf.htm
Education:
Ph.D.,1984,
M.S., 1980,
B.Sc.
(Honors), 1975,
Professional
Experience:
June
2000 to present:
Professor and Chair, Department of
Mathematics,
September
1997 to May 2000:
Associate Dean,
September
1996 to November 1996:
Visiting Scholar, Department of
Statistics,
September
1994 to May 2000:
Professor of Mathematical Sciences,
September
1990 to August 1994:
Associate Professor of Mathematical
Sciences,
September
1990 to August 1991:
Visiting Associate Professor of Statistics and
Applied Probability,
September
1984 to August 1990:
Assistant Professor of Mathematical
Sciences,
September
1982 to August 1984:
Lecturer of Mathematics,
Teaching and
Research Recognition:
·
Finalist, Distinguished Teacher Award,
·
Nominated for MTU Research Award, 1995 and 1998.
·
Distinguished Visiting Professor, Bucknell Universiy, Spring 1998.
·
Finalist, State of
·
Awarded the inaugural Department of Mathematical Sciences Teaching
Award in 1990.
·
Awarded the Distinguished Researcher Award by the Department of
Mathematical Sciences at
·
ETSU Mathematics Department Distinguished Research Award, 2004.
·
Research
Interests:
Applied
Probability, Mathematical Statistics, Probability, and Combinatorics,
with a special emphasis on: Classical probability in Banach spaces and on the real line; Poisson approximation;
DNA Sequence Analysis; Random combinatorial, number-theoretic, geometric, and
algebraic structures; Statistical tests for randomness; Mathematical Population
Genetics; and Reliability Theory.
Publications:
(undergraduate authors indicated by a * and graduate students
by a **)
1.
“On Klass’ series criterion for the minimal growth
rate of partial maxima,” Statistics and Probability Letters 5, 235-238, 1987.
2.
“On the strong law of large numbers in Banach
spaces,” Proceedings of the American
Mathematical Society 100,
543-550, 1987.
3.
“Some remarks on Kolmogorov's strong law in Hilbert
spaces,” Calcutta Statistical Association
Bulletin 37, 91-94, 1988.
4.
“Specific formulæ for
some success run distributions,”
Statistics and Probability Letters 10,
119-124, 1990.
5.
“Degenerate and Poisson convergence criteria for success runs,” Statistics and Probability Letters 10, 247-255, 1990.
6.
“On hypergeometric and related distributions of order
k,” Communications in Statistics A 19, 1291-1301, 1990.
7. “On the Markov-binomial distribution and its Poisson limit,” Technical Report No. 139, Department of Statistics and Applied Probability, University of California, Santa Barbara, 12 pp., 1990 (with Candace N. McLean*).
8.
“Poisson approximations for runs and patterns of rare events,” Advances in Applied Probability 23, 851-865, 1991.
9.
“A new exact runs test for randomness,” in Computing
Science and Statistics, C.
Page
and R. LePage, eds., pp. 281-285, Springer Verlag,
10.
“The exact and asymptotic distribution of overlapping success runs,” Communications in Statistics A 21,
953-967, 1992.
11.
“Exact and approximate runs distributions,” Communications
in Statistics A 21, 2151-2167, 1992 (with Michelle Gornowicz*).
12.
“Self-normalized bounded laws of the iterated logarithm in Banach
spaces,”
in Probability in Banach
Spaces 8, Progress in Probability 30,
Richard Dudley, Marjorie Hahn and James Kuelbs, eds.,
pp. 292-303, Birkhäuser, Boston, 1992.
13.
“Contributions to the coupon collector problem,” in Proceedings of the
6th NCUR
Conference 2, Robert Yearout,
ed., pp. 1009-1013,
14.
“Poisson approximations in reliability,” in Proceedings
of the 6th NCUR Conference 2,
Robert Yearout, ed., pp. 1032-1035, University of
North Carolina, Asheville, 1992 (with Laurel Deegan*).
15.
“Improved Poisson approximations for word patterns,” Advances in Applied Probability 25, 334-347, 1993 (with Andrew Schaffner*).
16.
“Approximate reliabilities of
m-consecutive-k-out-of-n: failure systems,” Statistica Sinica 3,
321-327, 1993.
17.
“Applications of the Stein-Chen method to the theory of patterns and runs,” in Runs and Patterns in Probability, A.
Godbole and S. Papastavridis, eds., pp. 253-262, Mathematics and its Applications 283,
Kluwer, Boston, 1994.
18.
“Runs of superimposed Poisson processes,” in Runs and Patterns in Probability, A. Godbole and S. Papastavridis, eds., pp. 263-286, Mathematics and its Applications 283, Kluwer, Boston, 1994 (with Hao Zhang**).
19.
“Exact and approximate hypercube reliabilities,” in Runs and Patterns in Probability, A. Godbole and S. Papastavridis, eds., pp. 163-172, Mathematics and its
Applications 283, Kluwer, Boston,
1994 (with Sanjay Khunger** and Esther Ososanya).
20.
“The asymptotic lower bound on the diagonal Ramsey numbers: A closer look,” in Discrete Probability and Algorithms, D. Aldous, P. Diaconis, J. Spencer
and J. M. Steele, eds., pp. 81-94, IMA
Volumes in Mathematics and its Applications 72, Springer Verlag, New York, 1995 (with
Daphne Skipper* and Rachel Sunley*).
21.
“A Poisson approximation for the number of k-matches,”
Statistics and
Probability Letters 21, 1-8, 1994 (with Patrick Burghardt*
and Amy Prengaman*).
22.
“General upper bounds for covering numbers,” Ars Combinatoria 42, 211--221, 1996 (with Sandra Thompson* and Eric Vigoda*).
23.
“Discriminating between sequences of Bernoulli and Markov-Bernoulli trials,”
Communications in Statistics
A 23, 2787-2814, 1994 (with Sharyn
Campbell* and Stephanie Schaller*).
24.
“Formulæ and
recursions for the joint distribution of success runs of several different
lengths,” The Annals of the Institute of
Statistical Mathematics 49,
141--153, 1997 (with Robert Weishaar* and Stavros Papastavridis).
25.
Runs and Patterns in Probability:
Selected Papers, Anant P. Godbole and Stavros Papastavridis eds., Mathematics
and its Applications 283, Kluwer Academic Publishers,
26.
“Compound Poisson approximations for word patterns under Markovian
hypotheses,”Journal of Applied Probability 32, 877-892, 1995 (with Mark Geske*, Andrew Schaffner*,
Allison Skolnick* and Garrick Wallstrom*).
27.
“Probability theory: a program of undergraduate research,” CUR Quarterly 15,
96-102, 1994.
28.
“t-covering arrays: upper bounds and
Poisson approximations,” Combinatorics, Probability and Computing 5, 105-118, 1996 (with Daphne Skipper* and Rachel Sunley*).
29.
“Random covering designs,” Journal of
Combinatorial Theory, Series A 75,
85--98, 1996 (with Svante Janson).
30. “Reliability analysis of a software redundancy system,” Interstat 1, June 1995 (with Nicholas Locantore* and Gomathi Sadhasivan**).
31.
“Imperfections in random tournaments,” Combinatorics,
Probability and Computing 6,
1--16, 1997 (with Andrew Barbour and Jinghua
Qian**).
32. “Palindromes in random letter
generation: Poisson approximations,
rates of growth, and Erdös-Rényi laws,” Athens Conference on Applied Probability and
Time Series, Volume 1: Applied Probability, C. Heyde,
Yu V. Prohorov, R. Pyke,
and S.T. Rachev, eds., pp. 99--115, Lecture Notes in Statistics 114, Springer Verlag,
New York, 1996 (with Debashis Ghosh*).
33.
3 articles on “Acceptance sampling,” in Encyclopedia of Mathematics,
Supplemental Volume I, pp. 19--20, M. Hazewinkel,
ed., Kluwer Academic Publishers,
34. “If rooks could kill: vertex degrees in
random bipartite graphs,” in
Proceedings of the 8th
Quadrennial International Conference on Graph Theory 2, 445--450, New Issues Press 1998 (With Ben Lamorte*
and Jessica Sklar*).
35.
“Random
36.
“On the size of a random sphere of influence graph,” Advances in Applied Probability 31, 596—609, 1999, (with Tae
Chalker*, Pawel Hitczenko,
Josh Radcliff* and Otto Ruehr).
37.
“Threshold functions for the bipartite Turán property,” Electronic Journal of Combinatorics
4, Paper R-18, 15 pages, 1997 (with
Ben Lamorte* and Erik Sandquist*).
38. “Improved upper bounds for the reliability of
d-dimensional consecutive k-out-of-n:F
systems,” Naval Research Logistics 45,
219--230, 1998 (with Laura Potter* and
Jessica Sklar*).
39.
“Generalized k-matches,” Statistics and Probability Letters 38, 167--175, 1998 (with Chris McLaren*
and Jonathan Herzog*).
40. “Beyond the method of bounded differences,”
in Microsurveys in Discrete Probability, David Aldous and Jim Propp, eds., pp. 43--58, DIMACS Series in
Discrete Mathematics and Theoretical Computer Science 41, American Mathematical Society, Providence, 1998, (with
Pawel Hitczenko).
41. “Sign-balanced covering matrices,” Discrete Mathematics 190, 79--93, 1998 (with Laura Potter* and Erik Sandquist*).
42.
“Contributions to the problem of Zarankiewicz,” Journal of Statistical Planning and
Inference 95,
197—208, 2001 (with Heidi Graziano*).
43.
“Computational aspects of a new test for multinomial probabilities,” in Dimension Reduction, Computational
Complexity, and Information, Sanford Weisberg, ed., pp. 169—173, Computing
science and Statistics 30, Interface
Foundation of North America, Fairfax Station, 1998, (with Matt Gregas*).
44.
“Near-matches and successions in random permutations,” Congressus Numerantium 135, 159--170, 1999 (with Papa Sissokho**).
45.
“Random sphere of influence graphs in the Lp metrics,” Congressus Numerantium 134, 175--188, 1999 (with Spencer Slade**).
46. “Turán Number,” Encyclopedia
of Mathematics, Supplemental Volume II,
p. 471, M. Hazewinkel, ed., Kluwer
Academic Press, Dordrecht, 2000.
47.
“The Michigan Tech REU Program in Probability,” Proceedings of the Conference
on Summer Undergraduate Mathematics Programs, Joe Gallian, ed., American
Mathematical Society, pp. 93--104, 2000.
48.
“A statistical perspective on inquiry,” Of
Significance 1, 41--46, 1999
(with Peg Balachowski**).
49. “On the domination number of a random graph,” Electronic Journal of Combinatorics 8, Paper R37, 13 pages, 2001 (with Ben Wieland*).
50. “Euler’s formula and random geometric graphs,” The Mathematical Scientist 27, 8—15, 2002 (with Jacob Benfield*).
51. “Cliques and independent neighbor sets in random graphs,” Congressus Numerantium 153, 113-128, 2001 (with Dan Ramras* and Sam Greenberg*).
52. “Cooperative learning through undergraduate research,”
in Cooperative Learning in Undergraduate Mathematics Education (CLUME),
53. “An improved upper bound for the pebbling threshold of the n-path,” Discrete Mathematics 275, 367—373, 2004 (with Adam Wierman*, Julia Salzman*, and Michael Jablonski*).
54. “Improved Pebbling Bounds,” submitted to Discrete Mathematics, (with Melody Chan*).
55. “Even 2 X 2 Submatrices of a Random Zero-One Matrix,” Graphs and Combinatorics 20, 457 – 466, 2004 (with Joseph Johnson*).
56. “Some properties of alphabet overlap graphs,” (with Debra Knisley and Rick Norwood).
57. “Probabilistic extensions of the Erdös-Ko-Rado theorem, to appear in Methodology and Computing in Applied Probability, (with Anna Celaya* and Mandy Schleifer*).
58. “Products imply sums,” submitted to College Mathematics Journal, (with Patricia Carey*).
59. “Sierpinski gasket graphs and some of their properties,” Australasian Journal of Combinatorics, 35, 181--192, 2006. (with Alberto Teguia**).
60. “The fair and random maximal division of “pizza”,” submitted to The Mathematical Scientist, (with Floyd Brown).
61. “Domination cover pebbling: graph families,” submitted to Journal of Combinatorial Mathematics and Combinatorial Computing, (with James Gardner*, Alberto Teguia**, Annalies Vuong*, Nathaniel Watson*, and Carl Yerger*).
62. “Threshold and complexity results for the cover pebbling game,” submitted to Discrete Mathematics, (with Nathaniel Watson* and Carl Yerger*).
63. “Partial covering arrays and a generalized Erdös-Ko-Rado property,” submitted to J. Combinatorial Designs, (with Patricia Carey*).
64. “Cover pebbling thresholds for the complete graph,” Electronic Notes in Discrete Mathematics, 22, 301—304, 2005. (With Nathaniel Watson* and Carl Yerger*).
65. “Maximal number of
regions obtained by a straight line drawing of the complete bipartite graph K_{n,n},” Encyclopedia of Integer Sequences, A117717, 2006 (with Patricia
Carey*).
66. “2 X 2 determinants in the C. L. Dodgson Method,” Encyclopedia
of Integer Sequences, A049652, 2006.
Professional
Service and Editorships:
·
Editor of the Council on
Undergraduate Research Quarterly (1998-2001).
·
Editor of the Mathematical and Computer Science Division of the Council on Undergraduate Research Quarterly
(1995--1998).
·
Councilor in the Mathematics/Computer Science Division of the Council
on Undergraduate Research (1992-2000).
·
Member of the Mathematical Association of
·
Reviewer of research proposals for the National Security Agency and the
National Science Foundation. Member of six
NSF panel reviews (REU and GK-12 twice, and STEP and Discrete Math and Combinatorics once).
·
Associate Editor of the electronic journal Interstat (1995-2004).
· Facilitator at the CUR Institute on Grantwriting, 2000, 2004.
· External reviewer for the Eastern Illinois University Mathematics Department.
· External reviewer of the Central Michigan University REU Site.
· Associate Editor of the Kluwer journal Methodology and Computing in Applied Probability (1997-).
·
Reviewer for Mathematical Reviews
since 1990.
·
Review panel member of the Bioinformatics program at the
·
Referee for the ~50 professional journals and volumes:
Conferences
and Special Sessions Organized:
1.
Organizer of the Special Session entitled The
Probability Theory of
Patterns and Runs held at the American
Mathematical Society Meeting in
2.
Co-organizer (with Svetlozar T. Rachev) of the
Special Session entitled
Applied Probability held at the American
Mathematical Society Meeting in
3.
Co-organizer (with Gary Sherman) of two Special Sessions entitled Undergraduate Research in Pure Mathematics
and Undergraduate Research in Applied
Mathematics, held at the American Mathematical Society Meeting in
4. Organizer of the NSF-CBMS Regional Research
Conference Probability, Algorithms and
Combinatorial Optimization, held in
5. Co-organizer (with Prasad Tetali)
of the Session on Random Structures and
Algorithms, held at the ORSA/TIMS Meeting in
6.
Organizer of the workshop Undergraduate
Research in Mathematics and
Computer Science: Special
Problems and Solutions, Council on Undergraduate
Research
April Dialogs, National Science Foundation,
7.
Co-Organizer of the NSF-CBMS Regional Research Conference Statistical Inference from Genetic Data on Pedigrees, MTU, July
1999 (with Jianping Dong). Elizabeth Thompson of the
8.
Co-Organizer of the NSF-CBMS Regional Research Conference Structure and decomposition of Graphs, ETSU, May 2002 (with Debra
Knisley). Robin Thomas of Georgia Tech
was the Principal Lecturer.
9.
Local Organizer of the Council on Undergraduate Research Proposal Writing
Institute,
10.
Co-Organizer of the Workshop on Mathematical Tools and Statistical Techniques
for Quantitative Medical Data Analysis, ETSU, October 2005 (with Don Hong and
Robert Gardner).
11.
Co-Organizer of the Future Teachers
Conference,
Sponsored
Research Grants:
1.
1990-91: Pilot Grant for Undergraduate Research awarded by the
2.
1991-1992: PI: The Probability Theory of Patterns and Runs, National Science
Foundation Grant No. DMS-9100829, $30,000.
3.
1992-1994: PI: Discrete Probability and Associated Limit Theorems, National
Science Foundation Grant No. DMS-9200409, $60,000.
4.
1994-1997: PI: Probabilistic Methods in Graph Theory, Combinatorics
and Number Theory, National Science Foundation Grant No. DMS-9322460, $90,000.
5.
1995: PI: NSF-CBMS Regional Research Conference in the Mathematical Sciences: Probability, Algorithms, and Combinatorial
Optimization, National Science Foundation Grant No. DMS-9415060, $25,000.
6.
1996: MTU Research and Graduate School Grant to support visit to UC Berkeley,
Fall 1996, $4,500.
7.
1997-2002: PI: Discrete Random Structures, National Science Foundation Grant
No. DMS-9619889, $200,000.
8.
1997: Genetic Data Analysis, and 1998: Ethics Across the Curriculum; MTU
Faculty Development Grants.
9.
1998-1999: co-PI: NSF-CBMS Regional Research Conference in the Mathematical
Sciences: Statistical Inference from
Genetic Data on Pedigrees, National Science Foundation Grant No.
DMS-9813767, $27,000 (with Jianping
Dong).
10.
1998-1999: State of
11.
1998-1999: Girls in Astronomy,
12.
1998-1999: PI: Research Experiences for Teachers: Discrete Random Structures,
National
Science Foundation Grant DMS 9619889-AMD 002, $7,500.
13.
1998-1999: Visiting Women and Minority Scholar Grant, MTU Presidential
Commission
for Women, $1,600.
14.
2001-02: Improving the Preparation of Elementary Education Majors at ETSU, NSF/American
Association of
15.
2001-02: PI: Research Experiences for
Teachers: Discrete Random Structures, National Science Foundation,
$25,433.
16.
2002-03: co-PI: NSF-CBMS Regional Research Conference in the Mathematical
Sciences: Structure and Decomposition of
Graphs, National Science Foundation Grant No. DMS-0122278,
$27,500 (with Debra Knisley).
17.
2002-05: PI: Discrete Random Structures, National Science Foundation Grant No.
DMS-0139286, $144,000.
18. 2002-03: PI: The Unicoi County K-8 Mathematics Initiative, W.K. Kellogg Foundation, $39,000, (with Edith Seier and Debra Knisley). (Additional Funding in 2003-04: $5850.)
19.
2003-04: PI: Discrete Random Structures – RET Supplement, National Science
Foundation Grant No. DMS-0139291, $15,250.
20.
2005: co-PI: Workshop on Mathematical Tools and Statistical Techniques for
Quantitative Medical Data Analysis, National Security Agency, $15,000 (with Don Hong and Robert Gardner).
21.
2005—08: co-PI: Tennessee Board of Regents Teacher Preparation Collaborative,
National Science Foundation, $1,200,000 (with Jim Kelley, Judy Hector and
Maggie Phelps), Grant No. NSF 0501440.
22. 2005—2010, PI: Talent Expansion in Quantitative Biology,
National Science Foundation, $1,000,000 (with Jay Boland, Jack Rhoton, Lev
Yampolsky and Hugh Miller), Grant No. NSF 0525447,
23.
2006—09, Probability and Discrete Mathematics, PI. $181,000, National Science Foundation Grant 0552730.
24.
2006-2010, Planner and Senior Advisor on the Symbiosis grant, $1.7M, Howard Hughes Medical Institute.
Administrative
and Advising Experience:
·
Chair, Department of Mathematics,
·
Supervised over 130 undergraduate student projects as part of my
involvement with undergraduate research since 1990 – both at ETSU and at
MTU. Several of these projects have
culminated in published research.
·
Authored ETSU Mathematics Ph.D. proposal currently under strategic
revision. This program will feature a
modeling based doctoral program with internships within the ETSU College of
Medicine and Life Sciences Community.
·
Mentored the writing of several NSF and other proposals at ETSU. These include NSF-CCLI (funded); ITQ
(funded); and NSF-MSP/IPSE/STEP (unfunded) proposals. Was co-PI on several of the latter proposals,
with budgets as high as $12.5M. See http://www.etsu.edu/math/welcome2003.htm
and http://www.etsu.edu/math/welcome2006.htm
for a list of recent and exciting departmental initiatives.
·
Associate Dean of the
·
Associate Chair of the Department of Mathematical Sciences at
·
Director of Graduate Studies from 1990 to 1993.
·
Chief author of the proposal for the Ph.D. program in the Mathematical
Sciences.
·
Member of the Departmental Coordinating; Advisory; Recruitment; Tenure
and Reappointment; Curriculum; Ph.D. Proposal; and Statistics Committees.
·
Advisor to Freshman and Sophomore Mathematics
majors.
·
Member of the College of Sciences and Arts Recruitment Committee;
member of the College Council; Chair of College Curriculum Committee member of
the Academic Forum, member of the Deans/Directors Forum, member of the Academic
Deans' Forum.
·
Chair of the University Sabbatical Leave Committee; member of General
Education Taskforce; Assessment Council; Diversity Forum; Retention Taskforce;
Graduate Council; Continuous Improvement of Academic Advising Committee.
·
Directed several Master's theses in Mathematics and Electrical
Engineering; served on several Master’s and Doctoral committees. Major advisees
include: Marilyn Agin
(’91), Sanjay Khunger (’92), Hao
Zhang (’93), Jinghua Qian (’94), Gomathi
Sadhasivan (’95), Matt Gregas
(’98), Spencer Slade (’99), Papa Sissokho (’99), Peg Balachowski (’99), Kevin Lynch (2005); and Janeane Young
(2006), Crystal Hall (2006), Travis Buck (2006), and James Ray (2006).