Back To Previous
 

 

image

 
 

David S. Yuen
Professor
Mathematics and Computer Science

Phone 847-735-5158
E-mail yuen@lakeforest.edu
Web http://math.lfc.edu/~yuen/

Specialization
Modular Forms
Theta Functions
Albanese Manifolds
Algebraic Geometry
Computer Science
 
Education
Ph.D., mathematics, Princeton University
M.S., mathematics, University of Chicago
B.A., mathematics, University of Chicago

Courses Taught
Mathematics 110: Calculus 1
Mathematics 210: Multivariable Calculus
Mathematics 231: Linear Algebra
Mathematics/Computer Science 323: Cryptography
Mathematics 330, 331: Modern Algebra I, Modern Algebra 2
Mathematics 340: Geometry
Mathematics 411: Topics in Modern Analysis
Computer Science 312: Client-Server Web Applications
Computer Science 489: Advanced Topics in Computer Science

Books
WEB APPLICATIONS (co-written with Craig Knuckles), Wiley, to be published in 2003.

Articles
"Dimensions of Cusp Forms for Gamma_0(p) in Degree Two and Small Weights", Abhandlungen aus dem Mathematisches Seminar der Universitat Hamburg, (2007) (with Cris Poor)..

"Towards the Siegel Ring of Genus Four", International Journal of Number Theory, (2007) (with Cris Poor).  .

"Computations of Spaces Siegel Modular Cusp Forms", Journal of the Mathematics Society of Japan, 59 (2007)  185-222 (with Cris Poor)..

"The Berge-Martinet Constant and Slopes of Siegel Cusp Forms", Bulletin of the London Mathematical Society, 38 (2006) 913-924 (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) 73-78 (with Cris Poor)..

"The Extreme Core", Abhandlungen aus dem Mathematisches Seminar der Universitat Hamburg, 75 (2005) 51-75.

"Projectile Motion with Resistance and the Lambert W Function", The College Mathematics Journal, 35 (2004) 337-350 (with Ed Packel)..

"Slopes of Integral Lattices", Journal of Number Theory, 100 (2003) 2363-380 (with Cris Poor).

"Restrictions of Siegel modular forms to modular curves" , Bulletin of the Australian Mathematical Society, 65 (2002) 239-252 (with Cris Poor).

"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).

"Linear dependence among Siegel modular forms ", Mathematische Annalen, 318 (2000) 205-234 (with Cris Poor).

"On the volume of a certain polytope" , Experimental Mathematics, 9 (2000) 91-99 (with C. Chan and D. Robbins).

"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).

"An elementary proof of the irreducibility of the rank g picard bundle", Rocky Mountain Journal of Mathematics, 26 (1996) 1581-1591.

"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).

"Dimensions of Siegel modular forms of low weight in degree four", Bulletin of the Australian Mathematical Society, 54 (1996) 309-315 (with Cris Poor).

"Relations on the period mapping giving extensions of mixed Hodge structures on compact Riemann surfaces", Geometrica Dedicata, 59 (1996) 243-291 (with Cris Poor).

"Second order theta functions and vector bundles over Jacobi varieties", Transactions of the American Mathematical Society, 320 (1990) 457-492.

Other Talks
2007 Workshop on Automorphic Forms, Santa Barbara, "Paramodular Forms"

2006 Workshop on Automorphic Forms, Boulder, "Characterization of Fourier Series of Siegel Modular Forms" (with Cris Poor).

2005 Reed College Mathematics Colloquium, "Extreme Lattices”.

2005 Workshop on Automorphic Forms, Denton, "Identities among Second Order Theta Constants" (with Cris Poor).

2004 Workshop on Automorphic Forms, Santa Barbara, "The Extreme Core for Siegel Modular Forms" (with Cris Poor).

2004 Conference on Modular Forms, Hamana Lake, Japan, "The Extreme Core".

2003 Workshop on Automorphic Forms, Boulder, "Degree 4 Siegel Modular forms" (with Cris Poor).

2002 Conference on Modular Forms, Oberwolfach Institute, Germany, "Dimensions of spaces of Siegel modular forms".

2002 Workshop on Automorphic Forms, UCLA, "Computation of Siegel Modular Forms" (with Cris Poor).

2001 Workshop on Automorphic Forms, Palo Alto, "Slopes of Integral Lattices" (with Cris Poor).

2000 Lake Forest College Mathematics Colloquium, "Fermat's Last Theorem via Modular Forms".

1999 Small College Computing Symposium, LaCrosse, WI, "Introduction to Object Oriented Programming via Robot Gladiators"

Awards and Honors
National Science Foundation graduate fellowship, 1985-1988

Princeton First Year Prize, 1985-1986

Ninth place on the 1983 Putnam Mathematical Examination

Sixth place on the 1984 Putnam Mathematica Examination

Phi Beta Kappa, 1985, University of Chicago.

Member of the 1981 USA team for the International Mathematics Olympiad (the USA team placed 1st that year).