WELCOME!


Hieu D. Nguyen

Professor
Department of Mathematics
Rowan University
Glassboro, NJ 08028
Phone: (856) 256-4500 Ext. 3886
Fax: (856) 256-4816
Office: Robinson 228N
nguyen@rowan.edu

Visit my eXperimental Mathematics Laboratory (XML) website


TEACHING SCHEDULE


Note: Students enrolled in my courses should log into Blackboard for access to course materials (requires Rowan username and password).

Spring 2014

Previous courses taught


EDUCATION


Ph.D. Math (1996), University of California - Berkeley (thesis advisor: Joseph A. Wolf)
Thesis: Weakly symmetric spaces and bounded symmetric domains [Postscript] [PDF]
B.S. Mathematics and B.S. Electrical Engineering (1990), University of Minnesota

MATHEMATICAL RESEARCH


Mathematical Interests:


Recent Preprints

  1. Doppler Tolerance, Complementary Code Sets, and the Generalized Thue-Morse Sequence (with Greg E. Coxson), Preprint (2014). [PDF]
  2. A Mixing of Prouhet-Thue-Morse Sequences and Rademacher Functions, Preprint (2014). [PDF]
  3. Euler, Goldbach and Exact Values of Trigonometric Functions (with Elizabeth Volz), Preprint (updated 2014; original version 2008). [PDF]
  4. Mining the Online Encyclopedia of Integer Sequences (with Douglas Taggart), Preprint (2012). [PDF]

Research Publications

  1. New Convolution Identities for Hypergeometric Bernoulli Polynomials (with Long (Winston) Cheong), J. Number Theory 137 (2014), pp. 201-221. [PDF]
  2. Generalized Binomial Expansions and Bernoulli Polynomials, INTEGERS: The Electronic J. of Combinatorial Number Theory 13 (2013), #A11, pp. 1-13. [PDF]
  3. Paradoxical Euler: Integrating by Differentiating (with Andrew Fabian), The Mathematical Gazette 97 (March 2013), No. 538, pp. 61-74. [PDF] (This work was discussed in Ed Sandifer’s column, How Euler Did It, in October 2008 (Curves and Paradox): http://www.maa.org/editorial/euler/HEDI%2060%20Curves%20and%20paradox.pdf)
  4. Moments of Hypergeometric Zeta Functions (with Abdul Hassen), J. Algebra, Number Theory: Advances and Applications 7 (2012), No. 2, pp. 109-129. [PDF]
  5. A Zero-Free Region for Hypergeometric Zeta Functions (with Abdul Hassen), Intern. J. Number Theory 7 (2011), No. 4, pp. 1033-1043. [PDF]
  6. Hypergeometric Zeta Functions (with Abdul Hassen), Intern. J. Number Theory 6 (2010), No. 1, pp. 99-126. [PDF]
  7. Bernoulli Polynomials and Pascal’s Square (with Robert Booth), Fibonacci Quarterly 46/47 (2008/2009), No. 1, pp. 38-47. [PDF]
  8. Hypergeometric Bernoulli Polynomials and Appell Sequences (with Abdul Hassen), Intern. J. Number Theory 4 (2008), No. 5, pp. 767-774. [PDF]
  9. Rearing Its Ugly Head: The Cosmological Constant and Newton’s Greatest Blunder, American Mathematical Monthly 115 (May 2008), No. 5, pp. 415-430: http://www.maa.org/pubs/monthly_may08_toc.html [PDF]
  10. The Error Zeta Function (with Abdul Hassen), Intern. J. Number Theory 3 (2007), No. 3, pp. 439-453. [PDF]
  11. Soliton Collisions and Ghost Particle Radiation, Journal of Nonlinear Mathematical Physics 11 (2004), No. 2, pp. 180-198: http://www.sm.luth.se/~norbert/home_journal/electronic/v11n2.html [PDF]
  12. Decay of KdV Solitons, SIAM Journal on Applied Mathematics, 63 (2003), No. 3, pp. 874-888: http://siamdl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SMJMAP000063000003000874000001&idtype=cvips&gifs=Yes   [Postscript] [PDF]
  13. Compact weakly symmetric spaces and spherical pairs, Proceedings of the American Mathematical Society 128 (2000), No. 11, pp. 3425-3433: http://www.ams.org/proc/2000-128-11/S0002-9939-00-05425-3/home.html [PDF]
  14. Characterizing weakly symmetric spaces as Gelfand pairs, Journal of Lie Theory 9 (1999), No. 2, pp. 285-291: http://www.emis.de/journals/JLT/vol.9_no.2/1.html [PDF]
  15. Weakly symmetric spaces and bounded symmetric domains, Transformation Groups 2 (1997), No. 4, pp. 351-374. [PDF]

Old Preprints

  1. Polar Isotropy Actions on Compact Weakly Symmetric Spaces, Preprint (2001). [PDF]
  2. Tautochrones on Riemannian Manifolds, Preprint (1998). [PDF]

Educational Publications

  1. Mathematica for Rogawski’s Calculus (with Abdul Hassen, Gary Itzkowitz, and Jay Schiffman), 2nd Edition, W. H. Freeman, 2011, ISBN-10: 1-4641-0178-6.  Table of contents [PDF]
  2. Linkages as Applied to Protein Folding (with James Factor), DIMACS Educational Module Series 08-1 (March 2008), http://dimacs.rutgers.edu/Publications/Modules/moduleslist.html [PDF]

Talks

  1. New Convolution Identities for Hypergeometric Bernoulli Polynomials, Joint Math Meetings, 1-15-2014:
  2. Identities to DIE For: Differentiating, Integrating, and Expanding Bernoulli Polynomials, Rowan Math Dept Colloquium, 3-27-2013:
  3. Mining the OEIS: Ten Experimental Conjectures, Joint Math Meetings, 1-9-2013: [PDF]
  4. Data Mining the OEIS for New Identities, MAA-NJ Section Spring Meeting 2012, 3-31-12: [PDF]
  5. Head Bites Tail: Crunching Numbers to Match Integer Sequences, Rowan Math Dept Colloquium, 12-8-11: [PDF]
  6. Experimental Mathematics and Data Mining: Extracting Identities from the Online Encyclopedia of Integer Sequences, Mathfest 2011, 8-4-11: [PDF]
  7. Experimental Mathematics and Data Mining: Excavating the Online Encyclopedia of Integer Sequences for New Mathematical Identities, Rowan Math Dept Colloquium, 1-23-11: [PDF]
  8. A Combinatorial Formula for Certain Two-Dimensional Sequences Related to Generalized Bernoulli Polynomials, Joint Math Meetings 2011, 1-9-11: [PDF]
  9. Sums of Products of Hypergeometric Bernoulli Polynomials, MAA-NJ Section Meeting Spring 2010, 4-10-10: [PDF]
  10. Foot to the Pedal: Constant Pedal Curves and Surfaces, Joint Math Meetings 2010, 1-13-10: [PDF]
  11. Euler, Goldbach and Exact Values of Cosine, Euler Society Annual Conference 2009, 7-13-09: [PDF]
  12. Discovering Bernoulli Number Identities Via Euler Maclaurin Summation, Joint Math Meetings 2009, 1-7-09: [PDF]
  13. Bernoulli = Bernoulli: Discovering Bernoulli Number Identities via Euler-Maclaurin Summation, Rowan Math Dept Colloquium, 9-24-08 [PDF]
  14. Paradoxical Euler or Integration by Differentiation: A Synopsis of E236, Euler Society Annual Conference 2008, 7-21-08 [PDF]
  15. Translating Euler's Works: How to get your students' feet wet in undergraduate research, Joint Math Meetings 2008, 1-6-08 [PDF]
  16. Pascal’s Square: Determinants, Bernoulli Polynomials, and the Arithmetical Triangle, MathFest 2007, 8-5-07: [PDF]
  17. Appell Sequences and Hypergeometric Bernoulli Polynomials, Joint Math Meetings 2007, 1-5-07: [PDF]
  18. How Bernoulli Did It: Sums of Powers, Generating Functions, and Bernoulli Numbers, Rowan Math Seminar, 10-11-06: [PDF]
  19. A Half-Marriage in Error: When Zeta Integrates a Gaussian, MAA-NJ Section Meeting Spring 2006, 4-8-06: [PDF]
  20. Newton’s “Greatest Blunder”: His theorem on revolving orbits and failed calculation of lunar precession, Rowan Math Seminar, 3-1-06: [PDF]
  21. The Search for Nothing: A zero-free region of hypergeometric zeta, Rowan Math Seminar, 10-5-05: [PDF]
  22. Newton’s Greatest Blunder, MathFest 2005, 8-5-05
  23. Hypergeometric Zeta Functions, Joint Math Meetings, 1-5-05: [PDF]
  24. Hypergeometric Zeta Functions, Rowan Math Seminar, 9-29-04
  25. Solitons: From Canal Water Waves to Molecular Lasers, Philadelphia IEEE Night, 5-20-03

Projects

Eureka Website

Experimental Math Summer Enrichment Program 2009

Student Translations of Euler’s Mathematics (STEM)

Soliton Radiation Website

Animated GIFs of solitons:

Java applets of solitons:


Classification Tables


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