Dr. David S. Yuen's Professional Page
yuen888@hawaii.edu
www.siegelmodularforms.org
Education
Awards and Honors
 Lake Forest College Trustee Award for Outstanding Teaching
and Campus Leadership, 2012.
 National Science Foundation Instrument and Laboratory Improvement Grant ($82,000), 1994.
 National Science Foundation Graduate Fellowship, 19851988.
 Princeton First Year Prize, 1986.
 Phi Beta Kappa, University of Chicago, 1985.
 Placed 9th and 6th on the Putnam Mathematical Competition, 1983, 1984.
 Member of the 1981 USA International Mathematics Olympiad team
that placed 1st.
Publications (Mathematics)

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)

Paramodular Forms of Level 8 and Weights 10 and 12,
International Journal of Number Theory, 14 (2018) 417467.
(with Cris Poor and Ralf Schmidt)

Using Katsurada's Determination of the Eisenstein Series to Compute Siegel Eigenforms,
Mathematics of Computation
87 (2018) 879892.
(with Oliver D. King, Cris Poor, and Jerry Shurman)
Article electronically published on May 1, 2017

Siegel Paramodular Forms of Weight 2 and Squarefree Level,
International Journal of Number Theory 13 (2017) 26272652.
( with Cris Poor and Jerry Shurman)

Computations of Spaces of Paramodular Forms of General Level
,
Journal of the Korean Mathematical Society
53 (2016) 645689.
(with Jeffrey Breeding III, Cris Poor)

Paramodular Cusp Forms,
Mathematics of Computation 84 (2015) pp 14011438.
(with Cris Poor)

Borcherds Products Everywhere,
Journal of Number Theory 148 (2015) pp 164195.
(with Valery Gritsenko, Cris Poor)

Congruences to IkedaMiyawaki Lifts and Triple LValues of Elliptic
Modular Forms,
Journal of Number Theory 134 (2014) pp 142180
(with Tomoyoshi Ibukiyama, Hidenori Katsurada, Cris Poor)

Characterizing Fourier Jacobi Expansions of Paramodular Forms,
Abhandlungen aus dem Mathematisches Seminar der Universitat Hamburg
83 (2013) pp 111128
(with Tomoyoshi Ibukiyama, Cris Poor)

The Cusp Structure of
the Paramodular Groups for Degree Two,
Journal of the Korean Mathematical Society
50 (2013) pp 445464
(with Cris Poor)

The Chiral Superstring Siegel Form in Degree Two is a Lift ,
Journal of the Korean Mathematical Society
49 (2012) pp 293314
(with Cris Poor)

Computing Siegel Modular Forms and Paramodularity,
Proceedings of the RIMS conference, Automorphic forms, trace formulas and zeta function,
(2011) 9095
(with Cris Poor)

Binary Forms and the Hyperelliptic Superstring Ansatz,
Mathematische Annalen
352 (2011) pp 124
(with Cris Poor)

Modular Forms of Weight 8 for $Gamma_g(1,2)$,
Mathematische Annalen
346 (2010) 477498.
(with Manabu Oura, Cris Poor, Riccardo SalvatiManni)

Lifting Puzzles in Genus 4,
Bulletin of the Australian Mathematical Society
80 (2009) 6582. (with Cris Poor, Nathan Ryan)

Towards the Siegel Ring of Genus Four,
International Journal of Number Theory,
4 (2008) pp. 563586.
(with Manabu Oura, Cris Poor)

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. 5980.
(with Cris Poor)

Paramodular Cusp Forms,
Proceedings of the Fourth Spring Conference on Modular Forms
and Related Topics, Siegel Modular Forms and Abelian Varieties,
(2007) 198215.
(with Cris Poor)

Computations of Spaces Siegel Modular Cusp Forms,
Journal of the Mathematics Society of Japan,
59 (2007) pp. 185222.
(with Cris Poor)

The BergeMartinet Constant and Slopes of Siegel Cusp Forms,
Bulletin of the London Mathematical Society,
38 (2006) 913924.
(with Cris Poor)

A generalization of the Valence Inequality for Siegel Modular Forms,
Proceedings of the Third Spring Conference on Modular Forms and Related
Topics,
(2005) 7378.
(with Cris Poor)

The Extreme Core,
Abhandlungen aus dem Mathematisches Seminar der Universitat Hamburg,
75 (2005) 5175.
(with Cris Poor)

Projectile Motion with Resistance and the Lambert W Function,
The College Mathematics Journal,
35 (2004) 337350.
(with Edward Packel)

Slopes of Integral Lattices,
Jounrnal of Number Theory,
100 (2003) 2363380.
(with Cris Poor)

Restrictions of Siegel modular forms to modular curves,
Bulletin of the Australian Mathematical Society,
65 (2002) 239252.
(with Cris Poor)

The dyadic trace and odd weight computations for
Siegel modular cusp forms,
Bulletin of the Australian Mathematical Society,
63 (2001) 269271.
(with Cris Poor)

Linear dependence among Siegel modular forms,
Mathematische Annalen,
318 (2000) 205234.
(with Cris Poor)

On the volume of a certain polytope,
Experimental Mathematics,
9 (2000) 9199.
(with Clara Chan, David Robbins)

Dimensions of spaces of Siegel cusp forms and
theta series with pluriharmonics,
The Far East Journal of Mathematics,
1 (1999) 849863.
(with Cris Poor)
 An elementary proof of the irreducibility
of the rank g picard bundle,
Rocky Mountain Journal of Mathematics,
26 (1996) 15811591.
 Estimates for dimensions of spaces
of Siegel modulr cusp forms,
Abhandlungen aus dem Mathematisches
Seminar der Universitat Hamburg,
66 (1996) 337354.
(with Cris Poor)
 Dimensions of Siegel modular forms of
low weight in degree four,
Bulletin of the Australian Mathematical Society,
54 (1996) 309315.
(with Cris Poor)
 Relations on the period mapping giving
extensions of mixed Hodge structures on compact
Riemann surfaces,
Geometrica Dedicata,
59 (1996) 243291.
(with Cris Poor)
 Second order theta functions and vector bundles
over Jacobi varieties, Transactions of the American
Mathematical Society, 320 (1990) 457492.
Publications (Computer Science)

Web Applications,
Wiley and Sons, 2004.
(Coauthored 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, Workshops, and talks at Seminars
 Collaborate@ICERM Workshop on Local Representations of Paramodular Forms, Providence, Rhode Island, June 2017.

Conference on Moduli Spaces and Modular Forms, Oberwolfach Institute for Mathematics, Oberwolfach, Germany, April 2016.

Number Theory Seminar, University of Hawaii, Honolulu, Hawaii, March 2016.

Workshop on Computational Aspects of Lfunctions, ICERM (Institute for Computational and Experimental Research in Mathematics), Providence, Rhode Island, November 2015.

Workshop on Modular Forms and Curves of Low Genus: Computational Aspect, ICERM (Institute for Computational and Experimental Research in Mathematics), Providence, Rhode Island, September 2015.

International Conference on Explicit Theory of Automorphic Forms, Tongji University, Shanghai, China, March 2014.

Conference on Curves and Automorphic Forms, University of Arizona, March
2014.

Number Theory Seminar, Northwestern University, September 2013.
 Conference on Automorphic Forms and LFunctions, Darmstadt, Germany, March 2013
 Automorphic Forms Workshop, Dublin, Ireland, March 2013
 1st EUUS Conference on Automorphic Forms and Related Topics, Aachen, Germany, August, 2012
 Workshop on the Lfunctions and Modular Forms Database, Bristol, England, March 2012
 Workshop on the Lfunctions 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 Lfunctions 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)