Daniel Sage's Home Page

Daniel Sage's home page

Daniel S. Sage
Department of Mathematics
Louisiana State University
Baton Rouge, LA 70806
USA
Email: sage@math.lsu.edu
Tel: (225) 578-1657 (W)
(225) 769-0679 (H)
FAX: (225) 578-4276

Education

B.S. summa cum laude	mathematics	Harvard University	1989
S.M.	mathematics	University of Chicago	1990
Ph.D.	mathematics	University of Chicago	1995

Professional Experience

C.R. Wylie Instructor	Department of Mathematics University of Utah	1995-1998
Member	School of Mathematics Institute for Advanced Study	1998-1999
Assistant Professor	Department of Mathematics Louisiana State University	1999-2005
Visitor	School of Mathematics Institute for Advanced Study	2001
Research Fellow	Max Planck Institute for Mathematics	2002-2003
Visitor	Institut de Mathématiques de Jussieu University of Paris VII	Summer 2004
Associate Professor	Department of Mathematics Louisiana State University	2005-present

Research Interests

Geometric and combinatorial methods in representation theory
Group and Hopf algebra actions on algebras
Composite materials and the G-closure problem

Publications and Papers

This is only a partial list.

Sage, D. S., A construction of representations of affine Weyl groups, Comp. Math., 108 (1997), 241--245. (23Kb dvi file)

Balaban, M. O., Sage, D. S., Smerage, G. H., Teixeira, A. A., and Welt, B. A., Iterative method for kinetic parameter estimation from dynamic thermal treatments, J. Food Science}, 62 (1997), 8--14.

Sage, D. S., The geometry of fixed point varieties on affine flag manifolds,Trans. Amer. Math. Soc., 352 (2000), 2087--2119. (208Kb dvi file)

Grabovsky, Y. and Sage, D. S., Exact relations for effective tensors of polycrystals. II: Applications to elasticity and piezo-electricity, Arch. Rat. Mech. Anal., 143 (1998), 331--356.

Grabovsky, Y., Milton, G. W. and Sage, D. S., Exact relations for effective tensors of polycrystals: Necessary conditions and sufficient conditions, Comm. Pure Appl. Math.,53 (2000), 300--353. Featured Review in Math Reviews. (856Kb ps file)

Sage, D. S., Group actions on central simple algebras, Journal of Algebra, 250 (2002), 18-43. (128Kb dvi file)

Sage, D. S., Lie group actions on matrix algebras, (184Kb pdf file)

Berger, K., Sage, D. S., and Welt, B., Performance specification of time-temperature integrators designed to protect against botulism in refrigerated fresh foods, Journal of Food Science, 68 (2003), 2--9.

Sage, D. S., Racah coefficients, subrepresentation semirings, and composite materials, Adv. App. Math., 34 (2005), 335--357.(275Kb pdf file)

Sage, D. S., Quantum Racah coefficients and subrepresentation semiring, J. Lie Theory, 15 (2005), 321--333.(169Kb pdf file)

Achar, P. N. and Sage, D. S., On special pieces, the Springer correspondence, and unipotent characters.(248Kb pdf file)

Sage, D. S., A new class of 6j symbols for simply reducible groups(214Kb pdf file)

Teaching

For more recent courses, see Blackboard.

Fall 2004
MATH 2057-1	Multivariable Calculus III	Syllabus	Blackboard	WeBWorK
MATH 2057-2	Multivariable Calculus III	Syllabus	Blackboard	WeBWorK

Spring 2004
MATH 1552-6	Analytic Geometry and Calculus II	Syllabus
MATH 1552-7	Analytic Geometry and Calculus II	Syllabus

Fall 2003
MATH 2070-1	Mathematical Methods in Engineering	Syllabus

Spring 2003
MATH 2090-4	Elementary Differential Equations and Linear Algebra	Syllabus
MATH 2090-6	Elementary Differential Equations and Linear Algebra	Syllabus