Uli Walther

Research Areas

• Algebraic Geometry
• Commutative Algebra

Education

• University of Minnesota, 1999

Publications listed in MathSciNet

1. Anurag K. Singh and Uli Walther. On the arithmetic rank of certain Segre products. In Commutative algebra and algebraic geometry, volume 390 of Contemp. Math., pages 147-155. Amer. Math. Soc., Providence, RI, 2005.
2. Uli Walther. Algorithmic stratification of Rr Homr D( M,N) for regular algebraic D-modules on Cn. J. Symbolic Comput., 39(3-4):493-499, 2005.
3. Laura Felicia Matusevich, Ezra Miller, and Uli Walther. Homological methods for hypergeometric families. J. Amer. Math. Soc., 18(4):919-941 (electronic), 2005.
4. Uli Walther. Bernstein-Sato polynomial versus cohomology of the Milnor fiber for generic hyperplane arrangements. Compos. Math., 141(1):121-145, 2005.
5. Uli Walther. Cohomology, stratifications and parametric Gröbner bases in characteristic zero. J. Symbolic Comput., 35(5):527-542, 2003. Computer algebra and computer analysis (Berlin, 2001).
6. Uli Walther. D-modules and cohomology of varieties. In Computations in algebraic geometry with Macaulay 2, volume 8 of Algorithms Comput. Math., pages 281-323. Springer, Berlin, 2002.
7. Uli Walther. Algorithmic determination of the rational cohomology of complex varieties via differential forms. In Symbolic computation: solving equations in algebra, geometry, and engineering (South Hadley, MA, 2000), volume 286 of Contemp. Math., pages 185-206. Amer. Math. Soc., Providence, RI, 2001.
8. Harrison Tsai and Uli Walther. Computing homomorphisms between holonomic D-modules. J. Symbolic Comput., 32(6):597-617, 2001. Effective methods in rings of differential operators.
9. Uli Walther. Computing the cup product structure for complements of complex affine varieties. J. Pure Appl. Algebra, 164(1-2):247-273, 2001. Effective methods in algebraic geometry (Bath, 2000).
10. Mircea Mustata, Gregory G. Smith, Harrison Tsai, and Uli Walther. D-modules on smooth toric varieties. J. Algebra, 240(2):744-770, 2001.
11. Uli Walther, Tryphon T. Georgiou, and Allen Tannenbaum. On the computation of switching surfaces in optimal control: a Gröbner basis approach. IEEE Trans. Automat. Control, 46(4):534-540, 2001.
12. Uli Walther. On the Lyubeznik numbers of a local ring. Proc. Amer. Math. Soc., 129(6):1631-1634 (electronic), 2001.
13. Mircea Mustata, Gregory G. Smith, Harrison Tsai, and Uli Walther. D-modules on smooth toric varieties. Surikaisekikenkyusho Kokyuroku, (1171):93-120, 2000. Algorithms for D-modules (Japanese) (Kyoto, 2000).
14. Uli Walther. Algorithmic computation of de Rham cohomology of complements of complex affine varieties. J. Symbolic Comput., 29(4-5):795-839, 2000. Symbolic computation in algebra, analysis, and geometry (Berkeley, CA, 1998).
15. Toshinori Oaku, Nobuki Takayama, and Uli Walther. A localization algorithm for D-modules. J. Symbolic Comput., 29(4-5):721-728, 2000. Symbolic computation in algebra, analysis, and geometry (Berkeley, CA, 1998).
16. Uli Walther. Algorithmic computation of local cohomology modules and the local cohomological dimension of algebraic varieties. J. Pure Appl. Algebra, 139(1-3):303-321, 1999. Effective methods in algebraic geometry (Saint-Malo, 1998).