David Yuen's Professional Page

Education

• B.A., M.S. in mathematics, University of Chicago '85
• Ph. D. in mathematics, Princeton '88

Publications (Mathematics)

1. Computations of Spaces of Paramodular Forms of General Level , Journal of the Korean Mathematical Society (to be published) (with Jeffrey Breeding III, Cris Poor)
2. Paramodular Cusp Forms, Mathematics of Computation 84 (2015) pp 1401-1438 (with Cris Poor)
3. Borcherds Products Everywhere, Journal of Number Theory 148 (2015) pp 164-195 (with Valery Gritsenko, Cris Poor)
4. 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)
5. 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)
6. The Cusp Structure of the Paramodular Groups for Degree Two, Journal of the Korean Mathematical Society 50 (2013) pp 445-464 (with Cris Poor)
7. 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)
8. Computing Siegel Modular Forms and Paramodularity, Proceedings of the RIMS conference, Automorphic forms, trace formulas and zeta function, (2011) 90-95 (with Cris Poor)
9. Binary Forms and the Hyperelliptic Superstring Ansatz, Mathematische Annalen 352 (2011) pp 1-24 (with Cris Poor)
10. Modular Forms of Weight 8 for $Gamma_g(1,2)$, Mathematische Annalen 346 (2010) 477-498. (with Manabu Oura, Cris Poor, Riccardo Salvati-Manni)
11. Lifting Puzzles in Genus 4, Bulletin of the Australian Mathematical Society 80 (2009) 65-82. (with Cris Poor, Nathan Ryan)
12. Towards the Siegel Ring of Genus Four, International Journal of Number Theory, 4 (2008) pp. 563-586. (with Manabu Oura, Cris Poor)
13. 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)
14. 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)
15. Computations of Spaces Siegel Modular Cusp Forms, Journal of the Mathematics Society of Japan, 59 (2007) pp. 185-222. (with Cris Poor)
16. The Berge-Martinet Constant and Slopes of Siegel Cusp Forms, Bulletin of the London Mathematical Society, 38 (2006) 913-924. (with Cris Poor)
17. 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)
18. The Extreme Core, Abhandlungen aus dem Mathematisches Seminar der Universitat Hamburg, 75 (2005) 51-75. (with Cris Poor)
19. Projectile Motion with Resistance and the Lambert W Function, The College Mathematics Journal, 35 (2004) 337--350. (with Edward Packel)
20. Slopes of Integral Lattices, Jounrnal of Number Theory, 100 (2003) 2363-380. (with Cris Poor)
21. Restrictions of Siegel modular forms to modular curves, Bulletin of the Australian Mathematical Society, 65 (2002) 239-252. (with Cris Poor)
22. 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)
23. Linear dependence among Siegel modular forms, Mathematische Annalen, 318 (2000) 205-234. (with Cris Poor)
24. On the volume of a certain polytope, Experimental Mathematics, 9 (2000) 91-99. (with Clara Chan, David Robbins)
25. 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)
26. An elementary proof of the irreducibility of the rank g picard bundle, Rocky Mountain Journal of Mathematics, 26 (1996) 1581-1591.
27. 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)
28. Dimensions of Siegel modular forms of low weight in degree four, Bulletin of the Australian Mathematical Society, 54 (1996) 309-315. (with Cris Poor)
29. Relations on the period mapping giving extensions of mixed Hodge structures on compact Riemann surfaces, Geometrica Dedicata, 59 (1996) 243-291. (with Cris Poor)
30. Second order theta functions and vector bundles over Jacobi varieties, Transactions of the American Mathematical Society, 320 (1990) 457-492.

Publications (Computer Science)

• Web Applications, Wiley and Sons, 2004. (Co-authored with Craig Knuckles.) [college textbook]
• Robot Gladiators, a Java exercise with artificial intelligence, Proceedings of the Small College Computing Symposium, 1999.

Technology in the Teaching of Mathematics

• Authored 15 Mathematica notebooks for Multivariable Calculus. (Email me if you would like samples.)
• Authored 6 Mathematica notebooks for Linear Algebra.

Recent Conferences

• Conference on Automorphic Forms and L-Functions, Darmstadt, Germany, March 2013
• Automorphic Forms Workshop, Dublin, Ireland, March 2013
• 1st EU-US Conference on Automorphic Forms and Related Topics, Aachen, Germany, August, 2012
• Workshop on the L-functions and Modular Forms Database, Bristol, England, March 2012
• Workshop on the L-functions and Modular Forms Database, Bristol, England, September 2011
• Conference on Explicit theory of automorphic forms, applications and computations, Luminy, France, May, 2011.
• RIMS Conference on Automorphic Forms, Kyoto, Japan, January, 2011
• Workshop on the L-functions and Modular Forms Database, Paris, France, 2010
• Workshop on Explicit Methods in Automorphic Forms, Max Plank Institute, Bonn, Germany, March 2010.
• Conference on Mock Theta Functions, Max Plank Institute, Bonn, Germany, May 2009.
• Workshop on Automorphic Forms, Lewisburg, PA, March 2009.
• Workshop on Automorphic Forms, College Station, TX, March 2008.
• Joint Mathematics Meeting, San Diego, January 2008.
• Workshop on Automorphic Forms, Santa Barbara, March 2007.
• Workshop on Automorphic Forms, Boulder, March 2006.
• Workshop on Automorphic Forms, Denton, TX, March 2005.
• Workshop on Automorphic Forms, Santa Barbara, March 2004 (photos)
• Conference on Modular Forms, Hamana, Japan, February 2004.
• Workshop on Automorphic Forms, Boulder, March 2003.
• Workshop on Modular Forms, Oberwolfach, Germany, September 2002. (photo)

Teaching Award

• Lake Forest College Trustee Award for Outstanding Teaching and Campus Leadership, 2012

Other

• NSF ILI grant ($82,000), 1994.
• Placed 9th and 6th on the Putnam Mathematical Competition, 1983,1984.
• Member of the 1981 USA International Mathematics Olympiad team that placed 1st.

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