W. Christopher Lang

Professor emeritus of mathematics at Indiana University Southeast

EDUCATION

PROFESSIONAL EXPERIENCE

COURSES TAUGHT

I taught a wide range of undergraduate mathematics courses for mathematics majors and other STEM majors. I also built and taught a course in statistical programming in R, and also a soft graduate-level course in Fourier analysis for in-service high school teachers.

My teaching experience includes substantial asynchronous course work. My course in Fourier analysis received Quality Matters certification.

RESEARCH INTERESTS

My original research was in Fourier analysis and abstract harmonic analysis. I also was active in the scholarship of teaching and learning, and in expository work in mathematics. I also analyzed biophysical diagnostic data as a consultant and collaborator in the development of an infant feeding monitor.

RESEARCH PUBLICATIONS

(peer reviewed)

  1. The structure of hypergroup measure algebras, J. Austral. Math. Soc. (Series A) 46 (1989), 319-342.
  2. A hypergroup measure algebra that admits no analogue of the structure theorem of J. L. Taylor, Proceedings of the SLU-GTE Conference on Commutative Harmonic Analysis, July 27-29, 1987, Contemporary Mathematics 91 (1989), 151-156.
  3. A growth condition for Fourier coefficients of functions of bounded entropy norm, Proc. Amer. Math. Soc. 112 (1991), 433-439.
  4. On the entropy norm spaces and the Hardy space ReH1, Proc. Amer. Math. Soc. 118 (1991), 861-863.
  5. Entropy norms of lacunary and random Fourier series, Houston J. Math. 19 (1993), 1-15.
  6. Orthonormal wavelets on the Cantor dyadic group, Society of Industrial and Applied Mathematics Journal on Mathematical Analysis, 27 (1996), 1-6.
  7. Forinash K, Lang WC. Frequency analysis of discrete breather modes using a continuous wavelet transform. Physica D 123 (1998), 437-447.
  8. Wavelet analysis on the Cantor dyadic group, Houston J. Math. 24 (1998) 533-544.
  9. Fractal multiwavelets related to the Cantor dyadic group, Internat. J. Math. & Math. Sci. 21 (1998), 307-314.
  10. Refinement equations and generalized multiresolution analyses for hypergroups, Banach Algebras and Their Applications, Contemporary Mathematics 363 (2004), 193-200.
  11. Refinement equations for generalized translations, Internat. J. Math. & Math. Sci., 64 (2004), 3435-3444.
  12. Lang WC, Buist NRM, Geary A, Buckley S, Adams E, Jones AC, Gorsek S, Winter SC, Tran H, Rogers BR. Quantification of Intraoral Pressures During Nutritive Sucking: Methods with Normal Infants. Dysphagia, 2010.
  13. Scherman A, Wiedrick J, Lang WC, Rdesinski RE, Lapidus J, McEvoy C, Abu-Shamsieh A, Buckley S, Rogers B, Buist N. ÒQuantification of nutritive sucking among preterm and full-term infantsÓ, Research and Reports in Neonatology, 2018
  14. Momin SR, Senn MK, Buckley S, Buist NRM, Gandhi M, Hair AB, Hughes SO, Hodges KR, Lang WC, Papioannou MA, Phan M, Waterland RA, Wood AC. ÒRationale and Design of the Baylor Infant Twin Study (BITS) - A Study Assessing Obesity-Related Risk Factors from Infancy", Obesity Science & Practice, 2020.
  15. W C Lang, S Buckley, N Buist. Measuring and/or characterizing feeding behavior. US Patent 11,963,789 B2, published April 23, 2024.

EXPOSITORY AND PEDAGOGICAL PUBLICATIONS

(peer reviewed)

  1. Comment to FFF#88 in the column Fallacies, Flaws and Flimflam, edited by Ed Barbeau, College Mathematics Journal 28 (1997). (Original manuscript titled "An irrational number left out of a proof that one equals zero".)
  2. Time-frequency analysis with the continuous wavelet transform, with K. Forinash, American J. Physics 66 (1998), 794-798.
  3. Forinash K, Rumsey W, Lang WC: Galileo's Mathematical Language of Nature, Science and Education 9 (2000), 449-456.
  4. Maki D, Winston W, Shafii-Mousavi M, Kochanowski P, Lang WC, Ernstberger K, Hodgson T. On the use of client-driven projects in the mathematics classroom, PRIMUS, 16 (2006), 300-313.

PRESENTATIONS

  1. Entropy-normed spaces of continuous periodic functions, invited talk given at the analysis seminar at the Department of Pure Mathematics, University of Waterloo, November 15, 1990.
  2. Entropy norms of lacunary Fourier series, invited 20 minute talk given at the Amer. Math. Math. Soc. Special Session on Fourier Analysis, Portland, Oregon, June 14, 1991.
  3. On the entropy norm spaces and the Hardy space Re H1, invited 20 minute talk given at the Amer. Math. Soc. Special Session on Harmonic Analysis Southwest Missouri State University, March 21, 1992.
  4. A project-driven mathematics and business course, with K. Ernstberger; contributed talk at the 81st Annual Meeting of the Math. Assoc. of Amer., Baltimore, Maryland, January 9, 1998.
  5. The Fourier series of the secant function, MAA Pacific Northwest Section Meeting, Portland State University, June 22, 2002.
    6. B
  6. The implementation of a campus-wide academic assessment program at Indiana University Southeast, 2002 Assessment Institute, Indianapolis, November 5, 2002.
  7. Refinement equations for generalized translations and hypergroups, Banach Algebras and their Applications: Banach Algebras 2003, Edmonton, Alberta, July 31, 2003.
  8. Forinash K, Wisman R, Lang WC, Couzin N. Free and easy sound analysis, invited talk, AAPT summer meeting, Sacramento 2004.
  9. Valeryn R, Evered J, Lang WC, Adams E, Jones AJ, Geary A, Gorsek S, Rogers BR, Buckley S, Buist NRM. Quantitation of intraoral pressures during nutritive sucking in preterm infants with feeding problems, Seventeenth Annual Dysphagia Research Society Meeting in New Orleans, Louisiana, March 5-7, 2009 (peer-reviewed).
  10. Sherman A, Lang WC, Lewis H, Rogers B, McEvoy C, Orozcoo V, Buist N. Quantification of Sucking Be- havior in Late Preterm [LPT], and Full Term Infants at 38Ð40 Weeks of Corrected Age, Poster Session, Pediatric Academies Societies Annual Meeting, May 6, 2013.
  11. Scherman A, Lang WC, Lewis H, Rogers B, McEvoy C, Orozoco V, Abu-Shamsieh A, Rdesinski R, Wiedrick J, Lapidus J, Rogers B, Buist N. Annual Meeting of the Pediatric Academic Societies, "Age-related Quantitation of Sucking Behavior in Normal Infants,," San Diego, CA, United States, April 2015.
  12. "Creating Online Visuals that are Accessible," Continuing the Conversation Webinar Series (IU Office of Online Education), March 27, 2020.
  13. Lang, W. C. (2021). MathJax in HTML for easy, high-quality mathematical notation. In Growing Tomorrow's STEM Teachers Professional Development in PJ's. Online.
  14. Markus Pomper, W C Lang, Adam Bunnell. A 'virtual table' presentation in the 6th Annual IU Online Conference: "Easy and Accessible Math: LaTeX and MathJax".

SERVICE

My service record at IU Southeast was extensive. This included many years as coordinator or co-coordinator of the mathematics program, membership or chair of important committees such as tenure and promotion committees, and the academic policies committee (which approved new courses, new programs, or changes in these). My service also included system (multi-campus) committees, including steering committees for collaborative online degree programs in applied statistics and actuarial science.