David A. Cardon, Ph.D

Department of Mathematics, Brigham Young University

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orcid.org/0000-0001-8687-8428

Education

• Brigham Young University
  • BS in Mathematics 1990
  • BS in Physics 1990
  • Graduated Magna Cum Laude with University Honors and Thesis
• Stanford University
  • MS in Mathematics 1993
  • Ph.D. in Mathematics 1996 - Advised by Daniel Bump

Positions

• Queen's University - Kingston, Ontario, Canada
  • Postdoctoral Fellow 1996-1998
• Brigham Young University
  • Assistant Professor 1998-2004
  • Associate Professor 2004-2011
  • Professor 2011-present

Research Interests

• Analytic and Algebraic Number Theory
• Complex Analysis

Awards

• 1996-97 Applied Science First Year Teaching and Learning Award - Queen’s University, Kingston, Ontario. Recipients selected from among ten university departments involved in teaching the first year courses in the applied science program. Students select instructors they believe establish best teaching and learning environment both inside and outside classroom.

• Fall 1997 Applied Science First Year Teaching and Learning Award - Queen's University, Kingston, Ontario.

• 2002 Outstanding Teacher Award -- presented by the BYU mathematics graduate students in April 2002.

• 2010 Distinguished Teaching Award -- presented by the Department of Mathematics at Brigham Young University.

Mathematical Papers

1. David Cardon, Zeros of Fourier Coefficients of Eisenstein Series on the Metaplectic Groups- The Function Field Case, Stanford University Ph.D. Dissertation, 1996.

2. David Cardon, A Riemann Hypothesis Condition for Metaplectic Eisenstein Series, J. Ramanujan Math. Soc., Vol. 12, No. 2, 1997 pp 203-238. (.dvi format) (.ps format)

3. David Cardon, A Euclidean ring containing Z[\sqrt{14}] , C. R. Math. Rep. Acad. Sci. Canada Vol. 19 (1), 1997 pp. 28-32. (.dvi format) (.ps format)

4. David Cardon and M. Ram Murty, Exponents of class groups of quadratic functions fields over finite fields, Canad. Math. Bull. Vol 44 (4), 2001, 398–407. (.dvi format) (.ps format) (.pdf format)

5. David Cardon, Convolution operators and zeros of entire functions, Proc. Amer. Math. Soc. 130 (2002), no. 6, 1725–1734. (.dvi format) (.ps format) (.pdf format

6. David Cardon and Xian-Jin Li, A Dirichlet series related to eigenvalues of the Laplacian for congruence subgroups. Number theory for the millennium, I (Urbana, IL, 2000), 153--181, A K Peters, Natick, MA, 2002. (.dvi format) (.ps format) (.pdf format)

7. David Cardon and Pace Nielsen, Convolution operators and entire functions with simple zeros. Number theory for the millennium, I (Urbana, IL, 2000), 183--196, A K Peters, Natick, MA, 2002. (.dvi format) (.ps format) (.pdf format)

8. David Cardon, Sums of Exponential Functions Having Only Real Zeros, Manuscripta Math. 113, 307-317 (2004). (.dvi format) (.ps format) (.pdf format)

9. David Cardon, Fourier Transforms Having Only Real Zeros, Proc. Amer. Math. Soc. 133, 1349-1356 (2004)   (.dvi format) (.ps format) (.pdf format)

10. David Cardon and Sharleen de Gaston, Differential Operators and Entire Functions with Simple Real Zeros, Journal of Mathematical Analysis and Applications, 301 (2005) 386-393. (pdf format)

11. David Cardon and Sharleen de Gaston Roberts, An equivalence for the Riemann Hypothesis in terms of orthogonal polynomials, Journal of Approximation Theory 138 (2006) 54-64. (.dvi format) (.pdf format).

12. Steven Adams and David Cardon, Sums of entire functions having only real zeros, Proc. Amer. Math. Soc. 135 (2007), no. 12, 3857-3866 (pdf format) (dvi format) (ps format)

13. David Cardon and Adam Rich, Turan inequalities and and subtraction free expressions, JIPAM. J. Inequal. Pure Appl. Math. 9 (2008), no. 4, Article 91 .
     (http://jipam.vu.edu.au/article.php?sid=1028)

14. David Cardon, Extended Laguerre inequalities and a criterion for real zeros, in Progress in Analysis and Its Applications, Proceeding of 7th International ISAAC Congress, Imperial College London, UK, 13018 July 2009  (pdf format)

15. David Cardon, Matrices related to Dirichlet series, Journal of Number Theory 130 (2010), 27-39. (pdf format)

16. David A. Cardon and Bradford Tuckfield, The Jordan canonical form for a class of zero-one matrices, Linear Algebra Appl. 435 (2011), no. 11, 2942-2954. (pdf format)

17. David A. Cardon and Pace P. Nielsen, Nonnegative minors of minor matrices, Linear Algebra Appl. 436 (2012), no.7, 2187-2200.

18. David A Cardon, Complex zero strip decreasing operators,  J. Math. Anal. Appl. (2015),  http://dx.doi.org/10.1016/j.jmaa.2015.01.026 Also Preprint on arXiv.org

19. David A. Cardon, Tamas Forgacs, Andrzej Piotrowski, Evan Sorensen, and Jason White, On Zero-Sector Reducing Operators, J. Math. Anal. Appl. 468 (2018), no. 1, 480–490.
    https://doi.org/10.1007/s00365-022-09581-6
    Full text available directly from Springer — https://rdcu.be/cRWgl

20. David A. Cardon, Evan Sorensen, and Jason White, Interlacing Properties of Coefficient Polynomials in Differential Operator Representations of Real-Root Preserving Linear Transformations, Journal of Constructive Approximation (2022). https://doi.org/10.1007/s00365-022-09581-6

Non-mathematical Publications

Summer 1991 internship at Los Alamos National Laboratory - performed computer simulations in nuclear physics. This resulted in the following papers:

• Whalen, Cardon, Uhle, Hendricks, MCNP: Neutron Benchmark Problems, LA-12212, Los Alamos National Lab. (Nov. 1991).
• Hendricks, Whalen, Cardon, Uhle, MCNP Neutron Benchmarks, Trans. Am. Nuc. Soc. 65 262 (1992).

Mathematical Conferences and Seminars Attended

* means I gave a talk, ** means I was an invited speaker, ♦ means I was an organizer

• Workshop on Automorphic Forms, MSRI, Berkeley, CA, 1993
• Workshop on Spectral Theory of Automorphic Forms and Number Theory, MSRI, Berkeley, CA, 1994
• Workshop and Conference on Automorphic Forms, University of Maryland, College Park, MD, 1994
• Conference on Number Theory and Fermat's Last Theorem, Boston University, Boston, MA, 1995
• Conference on Elliptic Curves and Modular Forms, National Academy of Sciences, Washington D.C., 1996.
• Meeting of the American Mathematical Society, University of Iowa, Iowa City, Iowa, 1996
• **Colloquium Speaker, Department of Mathematics, Brigham Young University, Provo, UT, 1996.
• *Conference on Automorphic Forms, Stanford University, Stanford, CA, 1996
• *Conference of the Canadian Number Theory Association, Carleton University, Ottawa, Ontario, 1996
• Conference on Automorphic Forms, Geometry, and Analysis, Institute for Advanced Study, Princeton, NJ, 1996
• *Conference of the Canadian Mathematical Society, London, Ontario, Canada, 1996
• **Quebec-Vermont Number Theory Seminar, University of Vermont, 1997
• *Conference on Topics in Number Theory, Penn State University, 1997
• *Conferencee of the American Mathematical Society, University of Montreal, Montreal, Quebec, Canada, 1997
• **Colloquium Speaker, Department of Mathematics, Brigham Young University, Provo, UT, 1998
• *Twelfth Annual Workshop on Automorphic Forms and Related Topics, University of Missouri at Columbia, 1998
• 1998 Workshop on Analytic number theory, Centre de Recherches Mathématiques, October 23-28
• *1999 Number Theory Sessions at the AMS Sectional Meeting, University of Illinois, Urbana-Champaign, March 18-21
• 1999 IAS/Park City Mathematics Institute, Summer Session on Arithmetic Algebraic Geometry, June 20 - July 10
• *2000 Workshop on Automorphic Forms and Related Topics, University of Colorado, March 26-28
• * 2000 Millennial Conference on Number Theory, University of Illinois, Urbana-Champaign, May 21-26
• 2000 Mathematical Challenges for the 21st Century, University of California, Los Angeles, August 6-11
• 2000 Workshop on Arithmetic Geometry, December 11-15, MSRI, Berkeley, CA
• 2001 Arizona Winter School on Modular Forms, University of Arizona, Tucson, March 10-14
• 2001 Illinois Number Theory Conference and Workshop on the Interface of Probability and Number Theory, University of Illinois,  Urbana-Champaign, May 18-20
• 2001 Conference on Modular Elliptic Curves, University of Central Florida, August 8-12
• 2001 West Coast Number Theory Conference, Asilomar, CA, December 16-20
• 2002 Conference on the Riemann Hypothesis, Currant Institute, NY, NY, May 2002
• * 2002 American Mathematical Society, Special Session on Analytic Number, Salt Lake City, Oct. 26-27.
• * 2002 West Coast Number Theory Conference, San Francisco State University, Dec. 15-18.
•   2003 The Web of Modularity, University of Illinois, Urbana-Champaign, June 3-7.
• * 2003 West Coast Number Theory Conference, Asilomar, CA, December 17-21
• 2004 Illinois Number Theory Conference, May 21-22, Urbana-Champaign
• * 2004 Canadian Number Theory Association VIII, June 20-25, Toronto.
• * 2004 West Coast Number Theory Conference, Las Vegas, NV, December 17-19.
• *West Coast Number Theory Conference, Las Vegas, NV, Dec. 2004
• *West Coast Number Theory Conference, Monterey, CA, Dec. 2005
• *Canadian Number Theory Association IX Meeting, Vancouver, Canada, July 2006
• *AMS Special Session on Number Theory, Salt Lake City, UT, October 2006
• Polya-Schur-Lax problems: hyperbolicity and stability preservers, American Institute of Mathematics, Palo Alto, California, May 28-June 1, 2007.
• *Canadian Number Theory Association X Meeting, Waterloo, Canada, July 2008
• *Western Number Theory Conference, Fort Collins, CO, Dec. 2008
• Summer Graduate Workshop on Zeta Functions, L-functions and Applications, Orem, UT, June 2009
• *West Coast Number Theory Conference, Monterey, CA, Dec. 2009
• *Canadian Number Theory Association XI Meeting, Wolfville, Canada, July 2010
• ♦Western Number Theory Conference 2010, Orem, UT, Dec 2010
• Analytic Aspects of L-functions and Applications to Number Theory, May 29-June 3, 2011, University of Calgary
• ♦28th Automorphic Forms Workshop, Moab, UT, May 12-16, 2014.
• **2016 Joint Mathematical Meetings of the AMS and MAA, Jan 6-9, 2016, Seattle, WA.

Miscellaneous Personal Information

• Plays flute and has been a member of community and university orchestras. Appeared as a Salute to Youth soloist with the Utah Symphony Orchestra - 1988.
• Married to Donna Lee Cardon and has three children: Joseph, Diane, and Benjamin.

 

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