Dr. David S. Yuen's Professional Page


yuen888@hawaii.edu
www.siegelmodularforms.org

Education

Awards and Honors

Publications (Mathematics)

  1. Theta block Fourier expansions, Borcherds products, and a sequence of Newman and Shank, Bulletin of the Australian Mathematical Society, to appear. (with Cris Poor and Jerry Shurman)
  2. Paramodular Forms of Level 8 and Weights 10 and 12, International Journal of Number Theory, 14 (2018) 417-467. (with Cris Poor and Ralf Schmidt)
  3. Using Katsurada's Determination of the Eisenstein Series to Compute Siegel Eigenforms, Mathematics of Computation 87 (2018) 879-892. (with Oliver D. King, Cris Poor, and Jerry Shurman) Article electronically published on May 1, 2017
  4. Siegel Paramodular Forms of Weight 2 and Squarefree Level, International Journal of Number Theory 13 (2017) 2627-2652. ( with Cris Poor and Jerry Shurman)
  5. Computations of Spaces of Paramodular Forms of General Level , Journal of the Korean Mathematical Society 53 (2016) 645-689. (with Jeffrey Breeding III, Cris Poor)
  6. Paramodular Cusp Forms, Mathematics of Computation 84 (2015) pp 1401-1438. (with Cris Poor)
  7. Borcherds Products Everywhere, Journal of Number Theory 148 (2015) pp 164-195. (with Valery Gritsenko, Cris Poor)
  8. Congruences to Ikeda-Miyawaki Lifts and Triple L-Values of Elliptic Modular Forms, Journal of Number Theory 134 (2014) pp 142-180 (with Tomoyoshi Ibukiyama, Hidenori Katsurada, Cris Poor)
  9. Characterizing Fourier Jacobi Expansions of Paramodular Forms, Abhandlungen aus dem Mathematisches Seminar der Universitat Hamburg 83 (2013) pp 111-128 (with Tomoyoshi Ibukiyama, Cris Poor)
  10. The Cusp Structure of the Paramodular Groups for Degree Two, Journal of the Korean Mathematical Society 50 (2013) pp 445-464 (with Cris Poor)
  11. The Chiral Superstring Siegel Form in Degree Two is a Lift , Journal of the Korean Mathematical Society 49 (2012) pp 293-314 (with Cris Poor)
  12. Computing Siegel Modular Forms and Paramodularity, Proceedings of the RIMS conference, Automorphic forms, trace formulas and zeta function, (2011) 90-95 (with Cris Poor)
  13. Binary Forms and the Hyperelliptic Superstring Ansatz, Mathematische Annalen 352 (2011) pp 1-24 (with Cris Poor)
  14. Modular Forms of Weight 8 for $Gamma_g(1,2)$, Mathematische Annalen 346 (2010) 477-498. (with Manabu Oura, Cris Poor, Riccardo Salvati-Manni)
  15. Lifting Puzzles in Genus 4, Bulletin of the Australian Mathematical Society 80 (2009) 65-82. (with Cris Poor, Nathan Ryan)
  16. Towards the Siegel Ring of Genus Four, International Journal of Number Theory, 4 (2008) pp. 563-586. (with Manabu Oura, Cris Poor)
  17. Dimensions of Cusp Forms for $Gamma_0(p)$ in Degree Two and Small Weights, Abhandlungen aus dem Mathematisches Seminar der Universitat Hamburg, 77 (2007) pp. 59-80. (with Cris Poor)
  18. Paramodular Cusp Forms, Proceedings of the Fourth Spring Conference on Modular Forms and Related Topics, Siegel Modular Forms and Abelian Varieties, (2007) 198-215. (with Cris Poor)
  19. Computations of Spaces Siegel Modular Cusp Forms, Journal of the Mathematics Society of Japan, 59 (2007) pp. 185-222. (with Cris Poor)
  20. The Berge-Martinet Constant and Slopes of Siegel Cusp Forms, Bulletin of the London Mathematical Society, 38 (2006) 913-924. (with Cris Poor)
  21. A generalization of the Valence Inequality for Siegel Modular Forms, Proceedings of the Third Spring Conference on Modular Forms and Related Topics, (2005) 73-78. (with Cris Poor)
  22. The Extreme Core, Abhandlungen aus dem Mathematisches Seminar der Universitat Hamburg, 75 (2005) 51-75. (with Cris Poor)
  23. Projectile Motion with Resistance and the Lambert W Function, The College Mathematics Journal, 35 (2004) 337--350. (with Edward Packel)
  24. Slopes of Integral Lattices, Jounrnal of Number Theory, 100 (2003) 2363-380. (with Cris Poor)
  25. Restrictions of Siegel modular forms to modular curves, Bulletin of the Australian Mathematical Society, 65 (2002) 239-252. (with Cris Poor)
  26. The dyadic trace and odd weight computations for Siegel modular cusp forms, Bulletin of the Australian Mathematical Society, 63 (2001) 269-271. (with Cris Poor)
  27. Linear dependence among Siegel modular forms, Mathematische Annalen, 318 (2000) 205-234. (with Cris Poor)
  28. On the volume of a certain polytope, Experimental Mathematics, 9 (2000) 91-99. (with Clara Chan, David Robbins)
  29. Dimensions of spaces of Siegel cusp forms and theta series with pluri-harmonics, The Far East Journal of Mathematics, 1 (1999) 849-863. (with Cris Poor)
  30. An elementary proof of the irreducibility of the rank g picard bundle, Rocky Mountain Journal of Mathematics, 26 (1996) 1581-1591.
  31. Estimates for dimensions of spaces of Siegel modulr cusp forms, Abhandlungen aus dem Mathematisches Seminar der Universitat Hamburg, 66 (1996) 337-354. (with Cris Poor)
  32. Dimensions of Siegel modular forms of low weight in degree four, Bulletin of the Australian Mathematical Society, 54 (1996) 309-315. (with Cris Poor)
  33. Relations on the period mapping giving extensions of mixed Hodge structures on compact Riemann surfaces, Geometrica Dedicata, 59 (1996) 243-291. (with Cris Poor)
  34. Second order theta functions and vector bundles over Jacobi varieties, Transactions of the American Mathematical Society, 320 (1990) 457-492.

Publications (Computer Science)

Technology in the Teaching of Mathematics

Recent Conferences, Workshops, and talks at Seminars