Ted Hill Curriculum Vitae

June 2017


This document is also available in its entirety in pdf format.

  1. Education
  2. Professional Experience
  3. Current Research Interests
  4. Honors and Awards
  5. Research Grants
  6. Professional Society Memberships
  7. Ph.D Students
  8. Invited Conference Lectures
  9. Contributed Conference Papers
  10. Invited Research Lectures
  11. Other Research & Academic Visits
  12. General Lectures
  13. Publications
  14. Consulting
  15. Professional Service

EDUCATION

B.S. in Engineering U.S. Military Academy, West Point 1966    [Diploma]
M.S. in Operations Research Stanford University 1968    [Diploma]
Ranger Tab U.S. Army Infantry School 1968    [Diploma]
Fulbright Scholar in Mathematics University of Göttingen 1972    
M.A. in Mathematics University of California, Berkeley 1974    [Diploma]
Ph.C. in Mathematics University of California, Berkeley 1977    [Diploma]
Ph.D. in Mathematics University of California, Berkeley 1977    [Diploma]

PROFESSIONAL EXPERIENCE

Visiting Professor, Dept. of Economics & Business, LUISS Guido Carli U., Rome (10/10-11/10)
Professor Emeritus, Mathematics, Georgia Institute of Technology (12/03-present)
Adjunct Professor, Dept. of Electrical & Computer Engineering, University of New Mexico (2006-present)
Research Scholar in Residence, California Polytechnic State University (2005-present)
Professor, Mathematics, Georgia Institute of Technology (4/90-12/03)
Guest Professor, Econometrics, Free University of Amsterdam (10/02-11/02)
Visiting Professor, Institute for Mathematical Stochastics, Göttingen (9/00-12/00)
Guest Professor, Dept. Math and Computer Sci., Vrije Universiteit, Amsterdam (4/97-8/97)
Visiting Professor, Centro de Investigación en Matemáticas A.C, Guanajuato Mexico (1/97-3/97)
Guest Professor, Dept. Math and Computer Sci., Vrije Universiteit, Amsterdam (3-7/94, 7-12/96)
Visiting Scholar, Mathematics, University of Costa Rica(11/93-2/94)
Guest Professor, Mathematics, Vrije Universiteit, Amsterdam (6/93-11/93)
Visiting Professor, Mathematics, University of Tel Aviv (3/89)
Guest Professor, Mathematics, University of Göttingen (9/88-5/89)
Visiting Scholar, Mathematics, University of California, Berkeley (7/86-9/86)
Associate Professor, Mathematics, Georgia Institute of Technology (7/84-4/90)
Associate Professor, Mathematics, University of Hawaii (8/84-6/85)
Postdoctoral Fellow, Mathematics, University of Leiden (7/82-7/83)
Assistant Professor, Mathematics, Georgia Institute of Technology(9/77-6/84)
Lecturer, Applied Mathematics, Washington University (9/70-6/71)
Captain, U.S. Army (Vietnam; Company Commander; Research and Development) (6/68-9/70)

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CURRENT RESEARCH INTERESTS

Probability and measure theory, optimal stopping theory, fair-division problems, limit laws, and Benford's law.

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HONORS AND AWARDS

Weird Science Award - "A weightier matter" (2007)
Gauss Professor, Göttingen Academy of Sciences (2000)
Elected Fellow, Institute of Mathematical Sciences (1999)
Elected Member, International Statistical Institute (1993)
SCITREK Scholar Lecturer, Atlanta (1992)
Best Teaching Award Mathematics (from Faculty of 50) (1990)
Fulbright Professor, Mathematics, University of Göttingen (1988-89)
Sigma Xi Best Research Paper in Science, Georgia Institute of Technology (1984)
NSF-NATO Postdoctoral Fellow, Mathematics, University of Leiden (1982-83)
Fulbright Scholar, Mathematics, University of Göttingen (1971-72)
U.S. Army Graduate Scholarship, Stanford University (1966-68)
Distinguished Graduate, West Point (1966)

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RESEARCH GRANTS

Dutch National Science Foundation (NWO) Travel Grant, Free University of Amsterdam (2009)
Dutch National Science Foundation (NWO) Travel Grant, Free University of Amsterdam (2008)
Dutch National Science Foundation (NWO) Travel Grant, Univ. of Utrecht (2007)
National Security Agency Grant H98230-05-1-0297 (2005-2006)
National Science Foundation Grant DMS 99-71146 (1999-2003)
Göttingen Academy of Sciences (2000)
NSF Group Infrastructure Grant (with Bunimovich, Hale) (1996-2001)
Dutch National Science Foundation (NWO) Grant, Dossier B-61-355 (1996-97)
National Science Foundation Grant 95-03375 (1995-97)
Dutch National Science Foundation (NWO) Grant, Dossier B-61-281 (1993)
National Science Foundation Grants DMS-92-09586 (1992-94)
Israel-U.S. Binational Science Foundation Grant 88-00005 (with D. Gilat) (1991-93)
National Science Foundation Grant DMS-89-01267 (1989-91)
Fulbright Senior Researcher Award (1988-89)
National Science Foundation Grants DMS-84-01604, DMS-86-01608, DMS-87-01691 (1984-88)
NSF-NATO Postdoctoral Grant 7289 (1982-83)
Air Force Office of Scientific Research Grant F4962079C0123 (1979-80)

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PROFESSIONAL SOCIETIES MEMBERSHIP

American Association of University Professors
American Civil Liberties Union
American Mathematical Society
Bernoulli Society
Institute of Mathematical Statistics
Mathematical Association of America
National Writers Union
New York Academy of Sciences
Fulbright Association Life Member

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PhD STUDENTS

David Sitton, (Mathematician, Planning Systems, Inc.) PhD Dec. 2001
Lisa Bloomer Green, (Assistant Professor, Middle Tennessee State University) PhD 2000
Pieter Allaart, (Assistant Professor, University of North Texas) PhD 1998
Zuzana Kuhn, (Mathematician, Karlsruhe Software) PhD 1998
Josephine Gouweleeuw, (Mathematician, Dutch Bureau of Statistics) PhD 1994
Frans Boshuizen, (Full Professor, Free Univ. Amsterdam; Mathematician, ING) PhD 1991
Martin Jones, (Associate Professor, College of Charleston) PhD 1989

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INVITED CONFERENCE LECTURES

Game Theory Workshop Lecture, CIMAT Feb 2016
Semi-Plenary Lecture, SIMMAC XVIII, University of Costa Rica Feb 2012
Prob. & Statistics Conf. , Mexican Math. Res. Center (CIMAT), 3 lectures (in Spanish) Feb/Mar 2012
SIMMAC XVII, University of Costa Rica Feb 2010
Bunimovich Conference, Banff International Research Station, Banff, Canada Jan 2009
Keynote Lecture, Workshop on Applications of Benford's Law, Santa Fe Dec 2007
Esterfest, Conference in Honor of Prof. E. Samuel-Cahn, Hebrew University, Jerusalem Dec 2006
SIMMAC XV, University of Costa Rica Feb 2006
Conference on Stochastic Systems, University of Leiden Mar 2005
Conference on Ergodic Theory, Univ. of North Carolina Chapel Hill Feb 2004
Invited Hour Talk, ICM 2002 Satellite Conference in Hanoi Aug 2002
Conference in Honor of David Blackwell and Lester Dubins, Berkeley Feb 2002
Plenary Talks (two), Dutch Operations Research Annual Meeting, Lunteren Jan 2002
Fair-Division Conference, U. of Pescara, Italy (2 hour talks) Dec 2000
Keynote Lecture, Georgia MAA Meeting, Columbus Apr 2000
Session on Stochastic Processes, AMS Meeting, Charlotte Oct 1999
Mexican Mathematical Research Center (CIMAT) (5 lectures, in Spanish) Feb 1999
Centralamerican Mathematics Conference, Invited Speaker, Costa Rica (in Spanish) Feb 1997
Centralamerican Mathematics Conference, Invited Speaker, Guatemala (in Spanish) Jan 1996
INFORMS Applied Probability Conference, Invited Talk, Session on Algorithms, Atlanta Jun 1995
Centralamerican Mathematics Conference, Invited Speaker, Managua, Nicaragua Jan 1995
Centralamerican Mathematics Conference, Invited Speaker, San Ramon, Costa Rica Feb 1994
International Conference on Stochastic Processes, Plenary Speaker, Amsterdam Jun 1993
AMS Invited Talk in Special Session on Stochastic Processes, Knoxville Mar 1993
Annual Finnish Probability Conference, Invited Speaker (6 lectures), Lahti, Finland Jun 1992
AMS-IMS-SIAM Invited Talk in Conference on Inequalities in Probability, Seattle Jul 1991
AMS-IMS-SIAM Invited Talk in Conference on Sequential Search Strategies, Amherst Jun 1990
Conference in honor of L. E. Dubins, University of California at Berkeley May 1990
Conference on Optimal Stopping, Oberwolfach, Germany Jun 1986

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CONTRIBUTED CONFERENCE PAPERS

International Congress of Mathematics 2002 Beijing Aug 2002
Bernoulli World Congress 2000, Guanajuato, MexicoMay 2000
Southeast Probability Days, Atlanta Mar 2000
Valdosta State Math Technology Conference, Valdosta Feb 2000
Biannual Centralamerican Appl. Math. Conference (in Spanish), Costa RicaJun 2000
International Symposium on Mathematics, Costa Rica (in Spanish) Feb 1998
American Mathematical Society Annual Meeting, Orlando Jan 1996
Southeast Probability Days Annual Meeting, AtlantaSep 1995
American Mathematical Society Annual Meeting, San Antonio Jan 1993
American Mathematical Society Annual Meeting, San Francisco Jan 1991
Second World Congress of the Bernoulli Society, Uppsala Aug 1990
American Mathematical Society Annual Meeting, Louisville Jan 1990
American Mathematical Society Meeting, Tacoma Jun 1987
American Mathematical Society Annual Meeting, San Antonio Jan 1987
International Congress of Mathematicians, BerkeleyAug 1986
American Mathematical Society Annual Meeting, Anaheim Jan 1985
American Mathematical Society Annual Meeting, Louisville Jan 1984
Markov Decision Processes Conference, University of Eindhoven Apr 1983
Fifteenth European Conference on Probability and Statistics, Palermo Sep 1982
Institute of Mathematical Statistics Regional Meeting, Tallahassee May 1982
American Mathematical Society Annual Meeting, Cincinnati Jan 1982
Georgia Mathematics Conference, Atlanta Oct 1981
American Mathematical Society Annual Meeting, San Francisco Jan 1981
American Mathematical Society Annual Meeting, BiloxiJan 1979
International Congress of Mathematicians, Helsinki Aug 1978
American Mathematical Society Annual Meeting, Atlanta Jan 1978
American Mathematical Society Annual Meeting, St. Louis Jan 1977

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INVITED RESEARCH LECTURES

MASS Colloquium, Dept. of Math., Penn State University Sep 2016
Dept. of Math. Colloquium, Penn State University Sep 2016
Statistics Seminar, U. Nevada, Reno Sep 2015
Mathematics & Statistics Colloquium, U. Nevada, Reno Sep 2015
Statistics & Applied Probability Seminar, UC Santa Barbara Apr 2015
Game Theory Seminar, CIMAT, Guanajuato, MX Apr 2015
Invited lecture, 35th Anniversary of CIMAT, Guanajuato, MX Apr 2015
Penn Mathematics Colloquium, U. of Pennsylvania Apr 2015
Combinatorics & Probability Seminar, U. of Pennsylvania Mar 2015
Invited lecture, Analytics Group, Software San Diego Apr 2014
Colloquium, Dept. of Mathematics & Statistics, San Diego State University Oct 2013
Millican Colloquium, U. of North Texas, DentonOct 2013
RTG Undergrad Math Research Colloquium, U. of North Texas, DentonOct 2013
Tinbergen Institute, Amsterdam Jun 2013
Tinbergen Institute, Amsterdam Jun 2012
Mathematics Colloquium, California Polytechnic State University May 2012
Mathematics Colloquium, Mexican Mathematical Research Center (CIMAT) Feb 2012
ID Analytics, San Diego, CA Oct 2011
Dept. of Mathematics, US Military Academy, West Point, NY Sep 2011
Tinbergen Institute, Amsterdam Jun 2011
Dept. of Statistics & Geoeconomics Seminar , University of Rome - La Sapienza Nov 2010
Dept. of Economics & Business Seminar , LUISS Guido Carli Univ. Oct 2010
Tinbergen Institute, Amsterdam Jun 2010
Mathematics Colloquium, San Jose State University Mar 2010
Bay Area Mathematics Adventures Lecture, San Jose State University Mar 2010
Mathematics Colloquium, University of Nevada, Reno Feb 2010
Tinbergen Institute, Amsterdam Jun 2009
Millican Lecture, University of North Texas Oct 2008
Econometrics Seminar, Free University Amsterdam Jun 2008
GAME Lecture, University of Alberta Apr 2008
Mathematics Colloquium, University of Alberta Apr 2008
Colloquium, Joint Science Dept. of the Claremont Colleges, CA, Mar 2008 Mar 2008
Mathematics Colloquium, California Polytechnic State University May 2007
Computer Science Department, Sonoma State University Nov 2007
Mathematics Department, College of Charleston Sep 2007
Tinbergen Institute, Amsterdam Jun 2007
Mathematics Department, Univ. of Utrecht Jun 2007
Mathematics Department, International University, HoChiMinh City Mar 2007
Mathematics Department, Univ of Natural Sciences, HoChiMinh City Mar 2007
Mathematics Department, Univ. of Canterbury, Christchurch Feb 2007
Industrial Engineering/Operations Research Colloquium, U.C. Berkeley Oct 2006
Mathematics Colloquium, U.S. Military Academy Sep 2006
Joint ECE, Math, and Statistics Colloq. (2 lectures), U. New Mexico Jun 2006
Joint Mathematics and Statistics Colloquium, California Polytechnic State UniversityNov 2005
Department of Applied Mathematics, University of Bonn Mar 2005
Department of Science, University of Pescara Feb 2005
Mathematics Department, University of Naples Jan 2005
Mathematics Department, Faculty of Economics, Univ of Rome Jan 2005
Ergodic Theory and Probability Seminar, Ohio State University Dec 2004
Mathematics Colloquium, Calif Polytechnic State University Oct 2004
Center for Nonlinear Studies, Physics Department, Georgia Tech Sep 2003
Stochastics Seminar, Chalmers University Nov 2002
Mathematics Colloquium, Chalmers University Nov 2002
Econometrics Lunch Seminar, Free University Amsterdam Nov 2002
Mathematics Colloquium, Leiden University Nov 2002
Stochastics Colloquium, Utrecht University Oct 2002
Econometrics, Free U. Amsterdam (8 2-hour lectures) Oct-Nov 2002
Colloquium, Tinbergen Institute of Economics Oct 2002
Mathematics Colloquium, University of Central Queensland Jul 2002
Mathematics Department, Cuesta College Nov 2001
Physics Department, Claremont Graduate School Oct 2001
Math Club, Portland State University Apr 2001
Mathematics Colloquium, Portland State University Apr 2001
Portland Stochastics Group, Portland Apr 2001
Mathematics Colloquium, Steinhaus Center, Tech University of Wroclaw Dec 2000
Stochastics Colloquium, Mathematics, University of Göttingen Nov 2000
Statistics Research Seminar, University of Göttingen Nov 2000
Invited Address, Göttingen Academy of Science (in German) Oct 2000
Econometrics Colloquium, Free University of Amsterdam Aug 2000
Guest Lecture, Tineberg Institute, Amsterdam Aug 2000
Mathematics Colloquium, Cuesta College, San Luis Obispo, CA Apr 2000
Statistics Colloquium, UC Santa Barbara Apr 2000
Mathematics Colloquium, University of Charleston Mar 2000
Mathematics Colloquium, Armstrong Atlantic State U., Savannah Mar 2000
Mathematics Colloquium, St. Andrews Presbyterian College, Savannah Mar 2000
Science in Society Lecture, College of Science, Kennesaw State University Mar 2000
GA State Academic Committee on Math Subjects, Valdosta Feb 2000
Mathematics & Computer Science Colloquium, CGSU, Milledgeville Jan 2000
Faculty Seminar, Georgia College & State Univ., Milledgeville (GCSU) Jan 2000
Mathematics Colloquium, Mercer Macon Jan 2000
Mathematics Colloquium, California Polytechnic University Jan 2000
Mathematical Sciences Department, Chattahoochee Tech Dec 1999
Mathematics Department, University of Memphis Nov 1999
Mathematics & Computer Sci. Department, Rhodes College Nov 1999
Mathematics Department, University of Tennessee at Martin Nov 1999
Mathematics Department, Dyersburg State, TN Nov 1999
Mathematics Department, Georgia Perimeter College Oct 1999
Mathematics Department, Atlanta Metropolitan College Oct 1999
Mathematics Department, Tri-County Technical College, SC Oct 1999
Session on Stochastic Processes, AMS Meeting, Charlotte Oct 1999
Mathematics Department, University of North Carolina, Charlotte Oct 1999
Mathematics Department, Clemson University Oct 1999
Mathematics Department, East Tennessee State University Sep 1999
Mathematics Department, Milligan College, TN Sep 1999
Mathematics Department, Tennessee Tech Sep 1999
Statistics Department, University of Tennessee-Knoxville Sep 1999
Mathematics Department, University of Tennessee-Knoxville Sep 1999
Mathematics Department, Free University of Amsterdam Sep 1999
Mathematics Department, Clark Atlanta University Dec 1998
Mathematics Department, University of Pittsburgh Dec 1998
Mathematics Department, U.S. Naval Academy, Annapolis Nov 1998
Mathematics Department, University of Miami Nov 1998
Mathematics Department, University of Southern Mississippi Oct 1998
Mathematics Department, University of North Texas Oct 1998
Accounting Department, Business School, Southern Methodist University Oct 1998
Mathematics Department, Dekalb College Oct 1998
Mathematics Department, Columbus State University Sep 1998
Gambling Theory Seminar, Mathematics Department, U.C. Berkeley Sep 1998
Mathematics Department, University of Augsburg Jun 1998
Mathematics Department, California Polytechnic State University, San Luis Obispo Mar 1998
Institute of Mathematical Sciences, California State University-Monterey Bay Mar 1998
Mathematics Department, University of Tennessee-Knoxville Mar 1998
Mathematics Department, Morris Brown College, Atlanta Mar 1998
Mathematics Department, University of Alabama-Huntsville Feb 1998
Mathematics Department, University of Tennessee-Chattanooga Feb 1998
Mathematics Department, University of Alabama-Birmingham Feb 1998
Mathematics Department, Dekalb College Jan 1998
F. Lane Hardy Lecture, Columbus State University Jan 1998
Mexican Mathematical Research Center (CIMAT), Guanajuato, Mexico Jan 1998
Mathematical Psychology Seminar, University of Düsseldorf Jul 1997
Special Krengel Colloquium, University of Göttingen Jun 1997
Mathematics Colloquium, University of Kiel May 1997
Probability Seminar, National University of Mexico Mar 1997
Probability Seminar, CIMAT Mexico (in Spanish) Jan 1997
Stochastics Seminar, University of Utrecht Nov 1996
Dynamics Colloquium, University of Amsterdam Nov 1996
Stochastics Colloquium, Math Centrum, Amsterdam Nov 1996
Mark Kac Lecture, Physics Laboratory, Utrecht Nov 1996
Dutch National PhD Lectures, Utrecht Fall 1996
Mathematics Department, University of Delft Oct 1996
Mathematics Department, Chalmers University Sep 1996
Sigma Xi College of Sciences Lecture, West Georgia College May 1996
Mathematics Department, University of Charleston Mar 1996
Mathematics Department, University of North Texas (Colloquium and Millican Lecture) Nov 1995
Mathematics Department, University of Tennessee, Chattanooga Nov 1995
Mathematics and Computer Science Department, Free University, Amsterdam Aug 1995
College of Sciences Special Lecture, Georgia Tech May 1995
Mathematics Department, University of Costa Rica, San Pedro (3 lectures, in Spanish) Jan 1994
Mathematical Stochastics Department, University of Göttingen (in German) Oct 1993
Mathematics Department, University of Groningen Sep 1993
Mathematical Statistics Department, University of Münster Jun 1993
Mathematics Department, Delft University of Technology Sep 1992
Mathematical Stochastics Department, University of Göttingen Aug 1992
Mathematics Department, Tel-Aviv University Jul 1992
Mathematics Department, U. S. Military Academy, West Point Sep 1991
Statistics Department, University of California, Berkeley Aug 1991
Mathematics Department, Technical University of Eindhoven Mar 1991
Mathematics Department, University of Amsterdam Mar 1991
Mathematics Department, Technical University of Delft Mar 1991
Mathematics Department, Sonoma State University Feb 1991
Mathematics Department, College of Charleston Nov 1990
Statistics Department, Purdue University Nov 1990
Mathematical Stochastics Department, University of Göttingen Aug 1990
Mathematics Department, University of Kiel (in German) May 1989
Mathematics Department, University of Leiden Apr 1989
Mathematics Department, Free University of Amsterdam Apr 1989
Mathematics Department, Tel Aviv University Mar 1989
Mathematics Department, University of Wuppertal (in German) Nov 1988
Mathematical Stochastics Department, University of Göttingen (in German) Nov 1988
Mathematics Department, Auburn University May 1988
Mathematics Department, University of Queensland Aug 1987
Mathematics Department, University of Melbourne Jul 1987
Mathematics Department, Australian National University Jul 1987
Mathematics Department, University of New South Wales Jul 1987
Mathematics Department, University of Sydney Jul 1987
Mathematics Department, Columbus College, Columbus Feb 1987
Mathematics Department, U. S. Military Academy, West Point Oct 1986
Applied Mathematics Department, University of Bonn (In German) Jun 1986
Mathematical Stochastics Department, University of Göttingen Jun 1986
Mathematics and Statistics Departments, Ohio State University Apr 1986
Mathematics Department, University of Miami Apr 1986
Faculty of Commerce, University of British Columbia Dec 1984
Mathematics Department, University of Hawaii Sep 1984
Mathematics Department, University of Nijmegen (In Dutch) May 1983
Statistics Department, University of Tel-Aviv Apr 1983
Mathematical Stochastics Department, University of Göttingen Feb 1983
Mathematics Department, University of Eindhoven (In Dutch) Dec 1982
Mathematics Department, University of Delft (In Dutch) Dec 1982
Applied Mathematics Department, University of Bonn Nov 1982
Stochastic Dynamic Programming Conference, University of Leiden Nov 1982
Mathematics Department, Free University of Amsterdam Aug 1982
Mathematics Department, University of Miami Apr 1982
Mathematics Department, University of Hawaii Apr 1980
Statistics Department, University of California, Berkeley Oct 1979
Applied Mathematics Department, University of Bonn (In German)Jul 1978

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OTHER RECENT RESEARCH & ACADEMIC VISITS

University of Alberta Jul 2014
Free University of Amsterdam Jun 2013
Free University of Amsterdam Jun 2012
Free University of Amsterdam Jun 2011
Invited guest, Nomenclature Committee, Amer. Chemical Soc. meeting, Boston, MA Aug 2010
Free University of Amsterdam Jun 2010
Free University of Amsterdam May/Jun 2009
Free University of Amsterdam Jun/Jul 2008
Free University Amsterdam Jun 2007
University of Utrecht Jun 2007
University of Bonn May 2007
Jawaharlal Nehru University Mar 2007

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GENERAL LECTURES

Cal Poly Research Scholars in Residence Lecture, SLO Feb 2016
Cal Poly Women's Club Lecture, SLO Jan 2016
Dept. of History Lecture, Cal Poly, SLO Nov 2013
Two Honors Program Lectures, San Jose State Univ. May 2012
Cal Poly Evening Research Scholars in Residence Lecture, SLO Apr 2010
RAMS Lecture, SLO May 2009
Science Forum Lecture, Cuesta College, SLO Mar 2008
Cal Poly Evening Research Scholars in Residence Lecture, SLO Jan 2008
Introduction of General Wesley Clark, Jefferson-Jackson Dinner, Santa Barbara Oct 2006
Cal Poly Evening Research Scholars in Residence Lecture, San Luis Obispo (SLO) May 2006
College of Science Special Lecture, Georgia Tech May 1995
Northside Senior Citizen (PALS) Lecture, Sandy Springs May 1995
Boy Scout Science Lecture, Atlanta Apr 1992
SCITREK Scholar Lecture, Atlanta Jan 1992
Mathematics Recruitment Lecture, North Springs High School, Atlanta 1992
Futurescape Mathematics Lecture, Georgia Tech 1990
Mathematics Lecture, Georgia Tech Super Student Day 1989
Keynote Speaker, Graduate Student Recruitment Day, Georgia Tech Mar 1988
Mathematics Showcase Speaker, Georgia Tech 1982

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PUBLICATIONS

Books

PUSHING LIMITS: From West Point to Berkeley and Beyond, American Mathematical Society (AMS) and Mathematical Association of America (MAA), April 2017.

An Introduction to Benford's Law  (with A. Berger). Princeton University Press, 2015.

Advances in Stochastic Inequalities: AMS Special Session on Stochastic Inequalities and Their Applications (Ed. with C. Houdré). American Mathematical Society, 1999.

Articles

(Note that many of these articles are freely available through the Cal Poly Digital Commons website.)

    Benford's Law
  1. What is ... Benford's Law? (with A. Berger), Notices of the AMS 64(2), pp. 132-134 (2017).
  2. Hubble's Law Implies Benford's Law for Distances to Galaxies (with R. Fox), Journal of Astrophysics and Astronomy 37(1), pp. 1-8 (2016). [PDF] For an earlier version, see Hubble's Law Implies Benford's Law for Distances to Stars (with R. Fox), Physics arXiv, posted December 4(2014). [ARXIV-PDF]
  3. Benford's Law: A curious statistical phenomenon that keeps getting curiouser, Princeton University Press Blog,Oct 6 (2015).
  4. Benford's Law, in The Princeton Companion to Applied Mathematics, ed. N. J. Higham, Princeton University Press, pp. 135-136 (2015).
  5. A Short Introduction to the Mathematical Theory of Benford's Law (with A. Berger), in Benford's Law - Theory and Applications, ed. S. J. Miller, Princeton University Press, pp. 23-55 (2015).
  6. A basic theory of Benford's Law (with A. Berger), Probability Surveys 8:1-126 (2011). [PDF]
  7. Benford's Law Blunders, Letter to the Editor, The American Statistician 65(2):141, 2011. [PDF]
  8. Benford's Law Strikes Back: No Simple Explanation in Sight for Mathematical Gem (with A. Berger), The Mathematical Intelligencer 33(1):85-91 (2011). [PDF]
  9. Finite-state Markov Chains obey Benford's Law (with B. Kaynar, A. Berger, and A. Ridder), SIAM J. Matrix. Anal. Appl. 32(3):665-684 (2011). [PDF]
  10. Fundamental Flaws in Feller's Classical Derivation of Benford's Law (with A. Berger), Mathematics arXiv, posted May 14, 2010. [ARXIV-PDF]
  11. Scale distortion inequalities for mantissas of finite data sets (with A. Berger and K. Morrison), Journal of Theoretical Probability 21:97-117 (2008). [PDF]
  12. Your Number's Up, Response to Letters to the Editor, American Scientist Online, May-June (2007) (Online link is incorrect).
  13. Newton's method obeys Benford's law (with A. Berger), American Mathematical Monthly 114:588-601 (2007). [PDF]
  14. One-dimensional dynamical systems and Benford's Law (with A. Berger and L.A. Bunimovich), Transactions of the American Mathematical Society 357:197-219 (2005). [PDF]
  15. Response to "Benfords Gesetz", Brief an die Herausgeber, Deutsche Mathematische Verein, Mitteilungen 3:4 (2001).
  16. The difficulty of faking data, Chance 26:8-13 (1999). [PDF]
  17. The first-digit phenomenon, American Scientist 86:358-363 (1998). [PDF]
  18. Benford's Law, Encyclopedia of Mathematics Supplement 1:102, Kluwer (1997). [PDF]
  19. A note on distributions of true versus fabricated data, Perceptual and Motor Skills 83:776-778 (1996). [PDF]
  20. A statistical derivation of the significant-digit law, Statistical Science 10:354-363 (1995). [PDF]
  21. The significant-digit phenomenon, The American Mathematical Monthly 102:322-327 (1995). [PDF]
  22. Base invariance implies Benford's Law, Proceedings of the American Mathematical Society 123:887-895 (1995). [PDF]
  23. Random-number guessing and the first-digit phenomenon, Psychological Reports 62:967-971 (1988). [PDF]
  24. Fair Division
  25. A Stronger Conclusion to the Classical Ham Sandwich Theorem (with J.H. Elton), European Journal of Combinatorics 32:657-661 (2011). [PDF]
  26. Cutting Cakes Carefully (with K.E. Morrison), The College Mathematics Journal 41(4):281-288, September (2010). [PDF]
  27. Counterexamples in the theory of fair division (with K.E. Morrison), Mathematics arXiv, posted Jan 15 (2009). [ARXIV-PDF]
  28. Maximin-share and minimax-envy in fair-division problems (with M. Dall'Aglio), Journal of Mathematical Analysis and Applications 281:346-361 (2003). [PDF]
  29. Mathematical devices for getting a fair share, American Scientist 88:325-331 (2000). [PDF]
  30. Fair-Division Problems, Panem & Circenses 10:16-27 University of Göttingen Stochastics Newsletter (1998). [PDF]
  31. Partitioning inequalities in probability and statistics, Stochastic Inequalities, IMS Lecture Notes 22:116-132 (1993). [PDF]
  32. A proportionality principle for partitioning problems, Proceedings of the American Mathematical Society 103:288-293 (1988). [PDF]
  33. Common hyperplane medians for random vectors, American Mathematical Monthly 95:437-441 (1988). [PDF]
  34. Equitable distribution of indivisible objects (with S. Demko), Mathematical Social Sciences 16:1-14 (1988). [PDF]
  35. Partitioning general probability measures, Annals of Probability 15:804-813 (1987). [PDF]
  36. Optimal-partitioning inequalities for non-atomic probability measures (with J. Elton and R. Kertz), Transactions of the American Mathematical Society 296:703-725 (1986). [PDF]
  37. Equipartitioning common domains of non-atomic measures, Mathematische Zeitschrift 189:415-419 (1985). [PDF]
  38. Determining a fair border, American Mathematical Monthly 90:438-442 (1983). [PDF]
  39. Optimal Stopping
  40. Knowing When to Stop, American Scientist 97:126-133 (2009). French translation in Pour la Science, No. 381, July (2009).
  41. Goal problems in gambling theory, Revista de Matemática 6(2):125-132 (1999). [PDF]
  42. Minimax-optimal strategies for the best-choice problem when a bound is known for the expected number of objects (with D. Kennedy), SIAM Journal on Control and Optimization 32:937-951 (1994). [PDF]
  43. Moment-based minimax stopping functions for sequences of random variables (with F. Boshuizen), Stochastic Processes and Applications 43:303-316 (1992). [PDF]
  44. Sharp inequalities for optimal stopping with rewards based on ranks (with D. Kennedy), Annals of Applied Probability 2:503-517 (1992). [PDF]
  45. A prophet inequality related to the secretary problem (with U. Krengel), Contemporary Mathematics 125:209-215 (1992). [PDF]
  46. A survey of prophet inequalities in optimal stopping theory (with R. Kertz), Contemporary Mathematics 125:191-207 (1992). [PDF]
  47. Minimax-optimal stop rules and distributions in secretary problems (with U. Krengel), Annals of Probability 19:342-353 (1991). [PDF]
  48. Optimal stopping problems with generalized objective functions (with D. Kennedy), Journal of Applied Probability 28:828-838 (1990). [JSTOR-PDF]
  49. Prophet inequalities for parallel processes (with D. Kennedy), Journal of Multivariate Analysis 31:236-243 (1989). [PDF]
  50. Optimal-partitioning inequalities in classification and multi-hypotheses testing (with Y. L. Tong), Annals of Statistics 17:1325-1334 (1989). [PDF]
  51. Expectation inequalities associated with prophet inequalities, Stochastic Analysis and Applications 5:299-310 (1987). [PDF]
  52. The existence of good Markov strategies in decision processes with general payoffs (with V. Pestien), Stochastic Processes and Applications 24:61-76 (1987).[PDF]
  53. Prophet inequalities for averages of independent non-negative random variables, Mathematische Zeitschrift 192:427-436 (1986). [PDF]
  54. Selection of order of observation in optimal stopping problems (with A. Hordijk), Journal of Applied Probability 22:177-184 (1985). [JSTOR-PDF]
  55. On maximizing the average time at a goal (with S. Demko), Stochastic Processes and Applications 17:349-357 (1984). [PDF]
  56. Stop rule inequalities for uniformly bounded sequences of random variables (with R. Kertz), Transactions of the American Mathematical Society 278:197-207 (1983). [PDF]
  57. Prophet inequalities and order selection in optimal stopping problems, Proceedings of the American Mathematical Society 88:131-137 (1983). [PDF]
  58. The advantage of using non-measurable stop rules (with V. Pestien), Annals of Probability 11:442-450 (1983). [PDF]
  59. Comparisons of stop rule and supremum expectations of i.i.d. random variables (with R. Kertz), Annals of Probability 10:336-345 (1982). [PDF]
  60. Additive comparisons of stop rule and supremum expectations of uniformly bounded independent random variables (with R. Kertz), Proceedings of the American Mathematical Society 83:582-585 (1981). [PDF]
  61. Ratio comparisons of supremum and stop rule expectations (with R. Kertz), Zeitschriftfür Wahrscheinlichkeitstheorie 56:283-285 (1981). [PDF]
  62. On the existence of good Markov strategies, Transactions of the American Mathematical Society 247:157-176 (1979). [PDF]
  63. General Probability & Analysis
  64. Characterizations of the Bayesian Posterior Distribution in Terms of Self-information and Likelihood Ratios (with M. Dall'Aglio), submitted for publication, Feb (2017).
  65. Bayesian posteriors without Bayes' Theorem (with M. Dall' Aglio). Math arXiv, posted March 1 (2012). [ARXIV-PDF]
  66. How to combine independent data sets for the same quantity (with J. Miller), Chaos 21(3) (2011). [CHAOS-PDF] [ARXIV-PDF]
  67. Conflations of Probability Distributions, Transactions of the American Mathematical Society 363(6):3351-3372 June (2011). [PDF] [ARXIV-PDF]
  68. A Characterization of Newton Maps(with A. Berger), ANZIAM J. 48:211-223 (2006). [PDF]
  69. Regularity of Digits and Significant Digits of Random Variables (with Klaus Schürger), Journal of Stochastic Processes and Their Applications 115:1723-1743 (2005). [PDF]
  70. Constructing random probability distributions (with D. Sitton), Abstract and Applied Analysis, 453-468 (2004), Chuong, Nirenberg, and Tutschke (eds.), World Scientific Press. [PDF]
  71. Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform (with J. Geronimo), Journal of Approximation Theory 121:54-60 (2003). [PDF]
  72. Lévy-like continuity theorems for convergence in distribution (with U. Krengel), Proceedings of the Göttingen Academy of Sciences, 2001, Nachrichten der Akademie der Wissenschaften zu Göttingen, 1-21 (2002). [PDF]
  73. Random probability measures with given mean and variance (with L. Bloomer), Journal of Theoretical Probability 15:919-938 (2002). [PDF]
  74. Extreme-value moment goodness-of-fit tests (with V. Perez-Abreu), Annals of Institute of Statistical Mathematics 53:543-551 (2001). [PDF]
  75. Alternative empirical distributions based on weighted linear combinations of order statistics (with J. Mann), Stochastic Analysis and Applications 18:87-99 (2000).[PDF]
  76. Constructions of random distributions via sequential barycenters (with M. Monticino), Annals of Statistics 26:1242-1253 (1998). [PDF]
  77. On the basic representation theorem for convex domination of measures (with J. Elton), Journal of Mathematical Analysis and Applications, 228:449-446 (1998). [PDF]
  78. Strongly-consistent, distribution-free confidence intervals for quantiles (with D. Gilat), Statistics and Probability Letters 29:45-53 (1996). Erratum 31:245-6 (1997). [PDF]
  79. Strong laws for L- and U-statistics (with J. Aaronson, R. Burton, H. Dehling, D. Gilat, and B. Weiss), Transactions of the American Mathematical Society 348:2845-2866 (1996). [PDF]
  80. On the relationship between convergence in distribution and convergence of expected extremes (with M. C. Spruill), Proceedings of the American Mathematical Society 121:1235-1243 (1994). [PDF]
  81. Probability fusions; preliminary announcement (with J. Elton), Theory of Probability and its Applications 37:328-331 (1993).[PDF]
  82. Quantile-locating functions and the distance between the mean and quantiles (with D. Gilat), Statistica Neerlandia 47:1-5 (1993). [PDF]
  83. On the game of googol (with U. Krengel), International Journal of Game Theory 21:151-160 (1992). [PDF]
  84. On the construction of generalized measure-preserving transformations with given marginals (with U. Krengel), Ergodic Theory and Related Topics IIISpringer Lecture Notes in Mathematics 1514:114-123 (1992). [PDF]
  85. One-sided refinements of the strong law of large numbers and the Glivenko-Cantelli Theorem (with D. Gilat), Annals of Probability 20:1213-1221 (1992). [PDF]
  86. Fusions of a probability distribution (with J. Elton), Annals of Probability 20:421-454 (1992). [PDF]
  87. Probability fusions; preliminary announcement (with J. Elton), (in Russian) Teoriya Veroyatnostei i ee Primeneniya 37:402-406 (1992). [PDF]
  88. Linear search with bounded resources (with R. Foley and M. Spruill), Naval Research Logistics Quarterly 38:555-565 (1991). [PDF]
  89. A generalization of Levy's concentration-variance inequality (with R. Foley and M. Spruill), Probability Theory and Related Fields 86:53-62 (1990). [PDF]
  90. Monotonically improving limit-optimal strategies in finite-state decision processes (with J. Van der Wal), Mathematics of Operations Research 12:463-473 (1987). [JSTOR-PDF]
  91. A sharp partitioning-inequality for non-atomic probability measures based on the mass of the infimum of the measures, Probability Theory and Related Fields 75, 143-147 (1987). [PDF]
  92. A generalization of Lyapounov's convexity theorem to measures with atoms (with J. Elton), Proceedings of the American Mathematical Society 99:297-304 (1987). [PDF]
  93. Almost sure stability of partial sums of uniformly bounded random variables, Proceedings of the American Mathematical Society 89:685-690 (1983). [PDF]
  94. A stronger form of the Borel-Cantelli Lemma, Illinois Journal of Mathematics 27:240-243 (1983). [PDF]
  95. Conditional generalizations of strong laws which conclude the partial sums converge almost surely, Annals of Probability 10:828-830 (1982). [PDF]
  96. Decision processes with total-cost criteria (with S. Demko), Annals of Probability 9:293-301 (1981). [PDF]
  97. Scientific Miscellany
  98. A Mathematical Theory for the Variability Hypothesis (with S. Tabachnikov), accepted for publication in Mathematical Intelligencer (2017).
  99. A Theory for Gender Differences in Variability (with S. Tabachnikov), math arXiv:1703.04184 [q-bio.PE] posted on March 12 (2017). [ARXIV-PDF]
  100. Gender Gaps in Science: The Creativity Factor (with E. Rogers), The Mathematical Intelligencer 34(2):19-26 (2012). [SPRINGER-PDF] [ARXIV-PDF]
  101. For Women to Think Mathematically, Colleges Should Think Creatively (with E. Rogers), The Chronicle of Higher Education 58 (33):A25 April 20 (2012). [PDF]
  102. From the current "kilogram problem" to a proposed definition (with A. Censullo and J. Miller), Chemistry International 33(5), September-October (2011). [PDF]
  103. Fundamental Problems in Metrology: Is there an objective need for an urgent redefinition of the kilogram and mole? (with V.V. Khruschov), Measurement Techniques, Vol. 56, No. 7, pp. 747-752, October (2013). [PDF] (For original Russian version, see [PDF].)
  104. The Kilogram Cabal, The Chronicle of Higher Education July 2 (2012). [CHE] For contact info about the kilogram redefinition, click here.
  105. Unresolved concerns about the "new SI" (with J. Miller and A. Censullo), Letter to the Editor, Accreditation and Quality Assurance 16(12):657-658, doi:10.1007/s00769-011-0842-6 (2011). [SPRINGER-PDF]
  106. Criticisms of the proposed "New SI". Accreditation and Quality Assurance 16 (8-9):471-472 (2011). [PDF]
  107. Towards a Better Definition of the Kilogram (with J. Miller and A. Censullo), Metrologia 48:83-86 (2011). [PDF]
  108. How to Publish Counterexamples in 1 2 3 Easy Steps, online publication on scribd.com, posted Sep 16 (2009). [SCRIBD-PDF]
  109. Gleaning the Cube, Response to Letters to the Editor, American Scientist Online, July-August (2007).
  110. An exact value for Avogadro's number (with R. Fox), American Scientist 95:104-107 (2007).
  111. Other
  112. Obituary for Lester E. Dubins (with D. Gilat and B. Sudderth), IMS Bulletin 39(8):13, October (2010). [PDF]
  113. Obituary for Lester E. Dubins (with D. Gilat and B. Sudderth), Bernoulli News, p. 15 May (2010). [PDF]
  114. Hoisting the Black Flag, Letter to the Editor, Notices of the American Mathematical Society 57(1):7 January (2010).
  115. You have a Right to Information, Academe, Vol. 92, No. 5, September/October, p. 34 (2006).
  116. Review of The Golden Ratio, Letter to the Editor, Notices of the AMS, 52(6):598 (2005).
  117. The General Is In, Letter to the Editor, Newsweek, p. 20 October 13 (2003).
  118. Russian Red Tape, Potpourri, Vol. 11, No. 3, 1999, pp. 65-68.
  119. Gary Jackson Obituary, The Assembly, USMA, Vol. 55, No. 2, Nov/Dec. 1996, p. 160.
  120. The Great Shark of the Bahamian Reef, Slum and Gravy 25, USMA, Vol. 66, No. 1, Sep. 1991, p. 55.

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CONSULTING

Dept. of Education, United Arab Emirates (2007): Accreditation Committee Univ. of Sharjah & American Univ. of Sharjah
Leisuretime Inc. (1999-2000): Video Poker Calculations
Coca Cola International (1998): Statistical Testing
Scientific Games Inc. (1995-96): Probability Games
Eleven-Alive TV Channel 11 News (1996): Lottery schemes
Carnation Foods, Inc. (1991, 1993): Determination of sample risks
WAGA TV Channel 5 News (1990): Analysis of Florida lottery strategies
Nestle's Inc.(1988): Determination of "forward" and "backward" mixtures of bicomponent solutions
Atlanta Inquirer (1988): Explanation of "airplane" pyramid schemes (1988)
Tillinghast, Nelson and Warren (Atlanta) (1987):  Analysis of statistics of Pepsico pension plan lawsuit
WAGA TV Channel 5 News and CBS National News (Dan Rather Show 1987): Analysis of "system" to beat national Beatrix lottery
Sutherland, Asbill and Brennan (Atlanta) (1980): Landmark cross-district busing case involving analysis of indices of segregation

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PROFESSIONAL SERVICE

Referee for:

Advances in Applied Mathematics 
Advances in Applied Probability 
American Mathematical Monthly 
American Political Science Review 
American Statistician 
Annals of Applied Probability 
Annals of Operations Research 
Annals of Probability 
Annals of Statistics 
Applied Mathematical Sciences  
Australian Meteorological Magazine 
Bernoulli 
Bulletin of the London Mathematical Society 
Canadian Journal of Information and Library Science 
Canadian Journal of Physics 
Chaos 
Cognitive Science 
Colloquium Mathematica 
Contemporary Mathematics 
Econometrics
Electronic Communications in Probability
Electronic Journal of Combinatorics
Equations and Applications
European Physical Journal A
Experimental Mathematics
Fourth Symposium on Decision Theory
Geotechnical and Geological Engineering
Group Decision and Negotiation 
IMS Lecture Notes on Stochastic Inequalities 
International Journal of Mathematics and Mathematical Sciences
Journal of the American Statistical Society 
Journal of Applied Probability 
Journal of Astrophysics and Astronomy 
Journal of Australian Mathematical Society 
Journal of Difference Equations and Applications
Journal of Mathematical Analysis and Applications 
Journal of Multivariate Analysis 
Journal of Statistical Computation and Simulation 
Journal of Theoretical Probability 
Kodai Mathematical Journal 
Lecture Notes on Stochastic Inequalities 
Mathematica Japonica 
Mathematical Social Sciences 
Mathematischen Annalen 
Mathematische Nachrichten 
Mathematics of Operations Research 
Notices of the American Mathematical Society 
Operations Research  Perceptual and Motor Skills 
Physica D 
Physics Letters A
PLos ONE
Probability in Engineering and Information Sciences 
Probability Theory and Related Fields 
Proceedings of the American Mathematical Society 
Proceedings of the AMS-IMS-SIAM Conference on Sequential Search 
Proceedings of Mexican Mathematical Society Conference 
Proceedings of the National Academy of Science 
Psychological Reports 
Revista de Matematica 
Scandinavian Journal of Statistics 
Sequential Analysis 
SIAM Review
Statistics and Probability Letters 
Social Choice and Welfare 
Statistica Neerlandia 
Stochastic Analysis and Applications 
Stochastic Processes and Applications 
South African Statistical Journal
The American Statistician
The Mathematical Intelligencer

Reviewer for:

U.S. National Science Foundation 
Israel-U.S. Binational Science Foundation 
Mathematical Reviews 
NATO Scientific Exchange Program 
Zentralblatt für Mathematik 
Civilian Research and Development Foundation (CRDF) 
Israel Science Foundation

External Review Committees

Accreditation Committee, University of Sharjah and Amer. U. of Sharjah Feb 2007
Mexican Mathematical Research Center (CIMAT) Jan 2000-2004

Science Panels

NSF Graduate Research Fellowship Program Panel, Washington, DC Feb 2006
NSF POWRE Screening Panel, Washington, DC Apr 1998
NSF Minority Screening Panel, Washington, DC Apr 1997
NSF Probability Screening Panel, Washington, DC Dec 1996
Fulbright Selection Committee, Bonn, Germany 1989

Scientific Organizing Committees

Scientific Organizing Committee SIMMAC XVIII, Costa Rica 2012
Scientific Organizing Committee SIMMAC XVII, Costa Rica 2010
Scientific Organizing Committee SIMMAC XVI, Costa Rica 2008
Scientific Organizing Committee SIMMAC XV, Costa Rica 2006
Scientific Organizing Committee, ICM 2002 Hanoi Satellite Conference 2001-02
Scientific Organizing Committee, Centralamerican Math. Conf. 1997
Co-organizer, AMS Special Session on Stochastic Inequalities, Atlanta Oct 1997
Steering Committee, Southeast Applied Analysis Center 1996-2001
Organizer, Session on Optimal Stopping, INFORMS Conf., Atlanta Jun 1995
Organizer, Workshop on Optimal Stopping, Free University, Amsterdam Jun 1993
SCITREK Scholar Organizing Committee, Atlanta 1992-93
Organizer, Miniconference on Martingales and Optimal Stopping, Atlanta Sep 1989
Co-organizer, Special Session, AMS Annual Meeting 1988

Chaired Sessions in Scientific Meetings

Sessions I and II, Differential Equations, SIMMAC XVIII, Costa Rica Feb 2012
Session on Optimal Control, SIMMAC XV, Costa Rica Feb 2006
Probability Session, ICM 2002, Beijing Aug 2002
Probability Session, ICAAA 2002, Hanoi Aug 2002
Session on Partitioning, SPA '93, Amsterdam Jun 1993
Probability Session, AMS Annual Meeting, San Antonio Jan 1993
Analysis Session, International Congress of Mathematicians, Berkeley 1986
Analysis Session, Annual AMS Meeting 1985

Miscellaneous

Co-Director, Georgia Tech, Center for Applied Probability > 1995-96
Fulbright Faculty Associate (for Boshuizen/Gouweleeuw) 1993
President of Faculty Assembly, School of Mathematics, Georgia Tech 1992-93
Visiting Professors Program, Georgia Tech May 1992
ASSET Faculty Friend Program, Georgia Tech 1992-93
Georgia Tech Whitewater Canoe Instructor 1984-89
Faculty Advisor, Psi Upsilon Fraternity 1983-84, 1991-95
Faculty Advisor, Georgia Tech Scuba Club 1981-82
Organizer/Co-organizer Georgia Tech Probability Seminar 1977-2000

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Last modified: May 29, 2017 .