Emeritus |
Title |
Office |
Contact |
---|---|---|---|
Barth, Theodore | Emeritus | - - - | tjb@math.ucr.edu |
Block, Richard | Distinguished Professor Emeritus | - - - | block@math.ucr.edu |
Chang, Mei-Chu | Professor of Graduate Division | Skye 235 | mcc@math.ucr.edu |
de Pillis, John | Emeritus | - - - | jdp@math.ucr.edu |
Gierz, Gerhard | Emeritus | Skye 258 | gierz@math.ucr.edu |
Guan, Zhuang-dan |
Emeritus | Skye 237 | zguan@math.ucr.edu |
Harper, Lawrence | Emeritus | Skye 270 | harper@math.ucr.edu |
LeBaron, Ferguson |
Emeritus | - - - | ferguson@math.ucr.edu |
Metcalf, Fred |
Emeritus | - - - | ftm@math.ucr.edu |
Rao, M. M. | Emeritus | Skye 270 | rao@math.ucr.edu |
Ratliff, Louis | Emeritus | Skye 270 | ratliff@math.ucr.edu |
Rush, David |
Emeritus | Skye 242 | rush@math.ucr.edu |
Stafney, James | Emeritus | Skye 258 | stafney@math.ucr.edu |
Stralka, Albert | Emeritus | Skye 258 | stralka@math.ucr.edu |
Zhuang Dan Guan
Contact
zguan (at) math-dot-ucr-dot-edu
951-827-6462
Skye 237
Degrees
B.S., Xiamen University, China
M.S., Institute of Mathematics, Academia Sinica, China
Ph.D., University of California, Berkeley
Research
Complex Manifolds, Differential and Algebraic Geometry
Journal Articles
1. Guan, Z. 1988. Curvature on the Hermitian Symmetric Spaces. Acta Math. Sinica. p.270-283. (Refereed)
2. Dorfmeister, J., Guan, Z. 1991. Fine Structure of Reductive Pseudo-Kahlerian Spaces. Geometrica Dedicata. p.321-338. (Refereed)
3. Dorfmeister, J., Guan, Z. 1992. Classification of compact homogeneous pseudo-Kahler manifolds. Birkhauser Verlag. Basel. p.499-513. (Refereed)
4. Dorfmeister, J., Guan, Z. 1992. Pseudo-Kahlerian homogeneous spaces admitting a reductive transitive group of automorphisms. Math. Zeitschrift. p.89-100. (Refereed)
5. Guan, Z. 1992. Stability of Hermitian Vector Bundles - A Quantitative Point of View. Intern'l J. Math. p.477-481. (Refereed)
6. Dorfmeister, J., Guan, Z. 1992. Supplement to 'Fine Structure of Reductive Pseudo-Kahlerian Spaces' (2)". Geom. Dedicata. p.241-242. (Refereed)
7. Guan, Z. 1995. Quasi-Einstein Metrics. International J. of Math. p.371-379. (Refereed)
8. Guan, Z. 1995. Existence of Extremal Metrics on Compact Almost Homogeneous Kahler Manifolds with Two Ends. Transactions of AMS. p.2255-2262. (Refereed)
9. Guan, Z. 1995. Examples of Compact Holomorphic Symplectic Manifolds which are not Kahlerian III. International J. of Math. p.709-718. (Refereed)
10. Guan, Z. 1995. Examples of Compact Holomorphic Symplectic Manifolds which are not Kahlerian II. Amer. J. Math. p.135-145. (Refereed)
11. Guan, Z. 1996. A Splitting Theorem for Compact Complex Homogeneous Spaces with a Symplectic Structure. Geometrica Dedicata. p.217-225. (Refereed)
12. Guan, Z. 1997. Toward a Classification of Almost Homogeneous Manifolds I --- Linearization of the Singular Extremal Rays. International J. of Math. p.999-1014. (Refereed)
13. Guan, Z. 1997. Classification of Compact Homogeneous Spaces with Invariant Symplectic Structures. Electronic Research Announcements of the American Mathemtical Society. p.52-54. (Refereed)
14. Guan, Z. 1997. Classification of Compact Complex Homogeneous Spaces with Invariant Volumes. Electronic Research Announcements of the American Mathematical Society. p.90-92. (Refereed)
15. Guan, Z. 1999. Toward a Classification of Almost Homogeneous Manifolds II --- Bad Models. International J. Math. p.571-586. (Refereed)
16. Guan, Z. 1999. On Modified Mabuchi Functional and Mabuchi Moduli Space of Kahler Metrics on Toric Bundles. Math. Research Letters. p.547-555. (Refereed)
17. Guan, Z. 2000. Toward a Classification of Almost Homogeneous Manifolds III---SL(2)xC* Actions. International J. Math. p.799-809. (Refereed)
18. Guan, Z., Chen, X. 2000. Existence of Extremal Metrics on Almost Homogeneous Manifolds of Cohomogeneity One. Asian J. Math. p.817-830. (Refereed)
19. Guan, Z. 2001. On the Betti Numbers of Irreducible Compact Hyperkahler Manifolds of Complex Dimension Four. Math. Res. Letters. p.663-669. (Refereed)
20. Guan, Z. 2002. Classification of Compact Complex Homogeneous Spaces with Invariant Volumes. Transactions of AMS. p.4493-4504. (Refereed)
21. Guan, Z. 2002. Existence of Extremal Metrics on Almost Homogeneous Manifolds of Cohomogeneity One -- II. The Journal of Geometric Analysis. p.63-79. (Refereed)
22. Guan, Z. 2003. Existence of Extremal Metrics on Almost Homogeneous Manifolds of Cohomogeneity One --- III. Inter. Jour. of Math. p.259-287. (Refereed)
23. Guan, Z. 2003. On Representation Theory and the Cohomology Rings of Irreducible Compact Hyperkahler Manifolds of Complex Dimension Four. Central European Journal of Math. p.661-669. (Refereed)
24. Guan, Z. 2004. Toward a Classification of Compact Complex Homogeneous Spaces. Journal of Algebra. p.33-59. (Refereed)
25. Guan, Z. 2005. On Compact Symplectic Manifolds with Lie Group Symmetries. Transactions of the American Mathematical Society. p.3359-3373. (Refereed)
26. Guan, Z. 2006. Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one ---IV. Annals of Global Analysis and Geometry. p.139-167. (Refereed)
27. Guan, Z. 2006. Extremal-solitons and Exponential C Convergence of the Modified Calabi Flow on Certain CP1 Bundles. Pacific Journal of Math. 41p. (Refereed)
Ferguson LeBaron
Degrees
B.S., Massachusetts Institute of Technology
M.A., University of Washington
Ph.D., University of Washington
Research
Approximation Theory
Contact
David Rush
Degrees
B.S., Southwest Missouri
State University
M.S., Western Washington State College
Ph.D., Louisiana State University
Research
Commutative Algebra
Contact
rush (at) math-dot-ucr-dot-edu
951-827-3123
Skye 242
Journal Articles
1. Ohm, J., Rush, D. 1971. The Finiteness of I when R(X)/I is Flat. Bulletin of the American Mathematical Society. p.793-796. (Refereed)
2. Cox, Jr, S., Rush, D. 1972. Endomorphisms of Finite Rank Flat Modules. Duke Mathematical Journal. p.323-326. (Refereed)
3. Ohm, J., Rush, D. 1972. The Finiteness of I when R(X)/I is flat. American Mathematical Society. p.377-408. (Refereed)
4. Ohm, J., Rush, D. 1972. Content Modules and Algebras. Math. Scand. p.49-68. (Refereed)
5. Rush, D. 1974. The G-function of MacRae. The Canadian Journal of Mathematics. p.854-865. (Refereed)
6. Cox, Jr, S., Rush, D. 1974. Finiteness in Flat Modules and Algebras. Journal of Algebra. p.44-50. (Refereed)
7. Rush, D. 1976. Remarks on Flat Modules. Michigan Mathematical Journal. p.193-201. (Refereed)
8. Rush, D. 1977. Some Applications of Griffith's Basic Submodules. Journal of Pure and Applied Algebra. p.41-44. (Refereed)
9. Ratliff, Jr., L.J., Rush, D. 1977. Notes on Ideal Covers and Associated Primes. Pacific Journal of Mathematics. p.169-191. (Refereed)
10. McAdam, S., Rush, D. 1978. Schreier Rings. Bull. London Math. Soc. p.77-80. (Refereed)
11. Rush, D. 1978. Content Algebras. Canad. Math. Bull. p.329-334. (Refereed)
12. Ratliff, Jr., L.J., Rush, D. 1978. Two Notes on Reductions of Ideals. Indiana University Mathematics Journal. p.929-934. (Refereed)
13. Rush, D. 1979. Pic(R) and the R-Flatness of R(X)/I. Journal of Pure and Applied Algebra. p.307-310. (Refereed)
14. Rush, D. 1980. Big Cohen-Macaulay Modules. Illinois Journal of Mathematics. p.606-611. (Refereed)
15. Rush, D. 1980. Seminormality. Journal of Algebra. p.377-384. (Refereed)
16. Rush, D. 1982. Picard Groups in Abelian Group Rings. Journal of Pure and Applied Algebra. p.101-114. (Refereed)
17. Rush, D. 1983. Rings which Resemble Rings of Entire Functions. Glasgow Math. J. p.7-16. (Refereed)
18. Rush, D. 1983. The equation Xk + Yk = Zk in Commuting Rational Matrices. Canad. Math. Bull. p.406-409. (Refereed)
19. Rush, D. 1983. An arithmetic characterization of algebraic number fields with a given class group. Math. Proc. Camb. Phil. Soc. p.23-28. (Refereed)
20. Iroz, J., Rush, D. 1984. Associated Prime Ideals in Non-Noetherian Rings. Canad. J. Math. p.344-360. (Refereed)
21. Rush, D. 1985. Generating Ideals in Rings of Integer-Valued Polynomials. Journal of Algebra. p.389-394. (Refereed)
22. Rush, D. 1988. Reflexive D-Rings. Journal of Algebra. p.81-88. (Refereed)
23. Ratliff, Jr., L.J., Rush, D. 1988. Note on I-Good Filtrations and Noetherian Rees Rings. Communications in Algebra. p.955-975. (Refereed)
24. Rush, D. 1988. Integrally Closed Torsionless Rings. Canad. Math. Bull. p.215-216. (Refereed)
25. Rush, D. 1988. Torsionfree Modules Over One-Dimensional Noetherian Rings. Journal of Pure and Applied Algebra. p.133-146. (Refereed)
26. Mirbagheri, A., Ratliff, Jr., L.J., Rush, D. 1989. Superficial Sets of Elements for Sets of Ideals. Communications in Algebra. p.3087-3108. (Refereed)
27. Bishop, W., Petro, J.W., Ratliff, Jr., L.J., Rush, D. 1989. Note on Noetherian Filtrations. Communications in Algebra. p.471-485. (Refereed)
28. Rush, D. 1991. Rings with two-generated ideals. Journal of Pure and Applied Algebra. p.257-275. (Refereed)
29. Ratliff, Jr., L.J., Rush, D. 1991. Note on Divisorial Sets of Elements for Sets of Ideals. Communications in Algebra. p.223-248. (Refereed)
30. Okon, J.S., Rush, D., Vicknair, P. 1992. Commutative Semigroup Rings with Two-Generated Ideals. J. London Math. Soc. p.417-432. (Refereed)
31. Rush, D. 1992. Asymptotic Primes and Integral Closure in Modules. Quarterly J. Math. Oxford. p.477-499. (Refereed)
32. Rush, D. 1992. Artin Rings with Two-Generated Ideals. Canad. Math. Bull. p.133-135. (Refereed)
33. Ratliff, Jr, L., Rush, D. 1993. Δ-Reductions of Modules. Communications in Algebra. p.2667-2685. (Refereed)
34. Rush, D. 1995. Two-Generated Ideals and Representations of Abelian Groups over Valuation Rings. Journal of Algebra. p.77-101. (Refereed)
35. Okon, J.S., Rush, D., Vicknair, P. 1996. Two-generated ideals in non-Noetherian semigroup rings. Journal of Pure and Applied Algebra. p.255-276. (Refereed)
36. Okon, J.S., Rush, D., Vicknair, P. 1997. Numbers of Generators of Ideals in Zero-Dimensional Group Rings. Communications in Algebra. p.803-831. (Refereed)
37. Rush, D. 1997. Generating Ideals Up to Radical in Noetherian Polynomial Rings. Communications in Algebra. p.2169-2191. (Refereed)
38. Rush, D. 1998. The conditions Int(R)_ (Rs) = Int(R)s for integer-valued polynomials. Journal of Pure and Applied Algebra. p.287-303. (Refereed)
39. Rush, D. 1999. Generating Ideals in Rings of Integer-Valued Polynomials. Canad. Math. Bull. p.231-236. (Refereed)
40. Ratliff, Jr, L., Rush, D. 1999. Triangular powers of integers from determinants of binomial coefficient matrices. J. Linear Alg. and Applications. p.125-142. (Refereed)
41. Ratliff, Jr, L., Rush, D. 1999. A Bracket Power Characterization of Analytic Spread One Ideals. Transactions of the American Mathematical Society. p.1647-1674. (Refereed, Electronic)
42. Rush, D. 2000. The Dedekind-Mertens Lemma and the Contents of Polynomials. Proceedings of the American Mathematical Society. p.2879-2884. (Refereed, Electronic)
43. Okon, J., Rush, D. 2000. Numbers of Generators of Ideals in a Group Ring of an Elementary Abelian p-Group. Journal of Algebra. p.1-22. (Refereed)
44. Okon, J., Rush, D., Vicknair, J. Paul 2000. Numbers of Generators of Ideals in a Group Ring of an Elementary Abelian p-Group. Journal of Algebra. p.1-22. (Refereed)
45. Rush, D. 2001. Bezout domains with stable range 1. Journal of Pure and Applied Algebra. p.309-324. (Refereed)
46. Rush, D., Wallace, L. 2002. Noetherian Maximal Spectrum and Coprimely Packed Localizations of Polynomial Rings. Houston Journal of Mathematics. p.437-448. (Refereed)
47. Heinzer, W., Ratliff, Jr, L., Rush, D. 2002. Strongly irreducible ideals of a commutative ring. Journal of Pure and Applied Algebra. p.267-275. (Refereed)
48. Ratliff, Jr., L.J., Rush, D. 2002. Asymptotic Primes of Delta Closures of Ideals. Communications in Algebra. p.1513-1531. (Refereed)
49. Heinzer, W., Ratliff, Jr, L., Rush, D. 2002. Basically Full Ideals in Local Rings. Journal of Algebra. p.371-396. (Refereed)
50. Okon, J., Rush, D. 2002. Generating Ideals in Commutative Artinian Group Rings and a Generalized Pascal's Triangle. Communications in Algebra. p.5595-5607. (Refereed)
51. Heinzer, W., Li, A., Ratliff, Jr, L., Rush, D. 2002. Monoidal Extensions of a Cohen-Macaulay Unique Factorization Domain. Transactions of the American Mathematical Society. p.1811-1835. (Refereed, Electronic)
52. Rush, D. 2003. Noetherian properties in monoid rings. Journal of Pure and Applied Algebra. p.259-278. (Refereed)
53. Ratliff, Jr, L., Rush, D. 2003. Two notes on homogeneous prime ideals in graded Noetherian rings. Journal of Algebra. p.211-230. (Refereed)
54. Rush, D. 2003. Quadratic Polynomials, Factorization in Integral Domains and Schreier Domains from Pullbacks. Mathematika. p.103-112. (Refereed)
55. Ciuperca, C., Heinzer, W., Ratliff, Jr, L., Rush, D. 2004. Projectively equivalent ideals and Rees valuations. Journal of Algebra. p.140-156. (Refereed)
56. Ratliff, Jr, L., Rush, D., Shah, K. 2004. Note on Cyclotomic Polynomials and Prime Ideals. Communications in Algebra. p.333-343. (Refereed)
57. Ratliff, Jr, L., Rush, D. 2004. Symmetric Reductions. Communications in Algebra. p.3189-3213. (Refereed)
58. Brookfield, G., Rush, D. 2005. When graded domains are Schreier or pre-Schreir. Journal of Pure and Applied Algebra. p.225-230. (Refereed)
59. Culhan, D., Rush, D. 2005. Primal decomposition in rings, modules and lattice modules. Algebra Universalis. p.167-184. (Refereed)
60. Okon, J., Rush, D., Wallace, L. 2005. A Mori-Nagata Theorem for Lattices and Graded Rings. Houston Journal of Mathematics. p.973-997. (Refereed)
61. Ciuperca, C., Heinzer, W., Ratliff, Jr, L., Rush, D. 2006. Projectively full ideals in Noetherian rings. Journal of Algebra. p.73-93. (Refereed)
62. Ratliff, Jr, L., Rush, D., Shah, K. 2006. Power integral bases for Selmer-like number fields. Journal of Number Theory. p.90-113. (Refereed)
(In Press)
1. Ciuperca, C., Heinzer, W., Ratliff, Jr, L., Rush, D. Projectively full ideals in Noetherian rings (II). Journal of Algebra. (Accepted 01/18/2005. 29 manuscript pages.) (Refereed)
2. Okon, J., Rush, D., Wallace, L. A Mori-Nagata Type Theorem for Seminormal Mori Lattices. Houston Journal of Mathematics. (Accepted 08/26/2005. 19 manuscript pages.) (Refereed)
3. Brookfield, G., Rush, D. Convex Polytopes and Factorization Properties in Generalized Power Series Domains. Rocky Mountain J. of Math. (Accepted 04/18/2006. 10 manuscript pages.) (Refereed)
4. Rush, D. Rees valuations and asymptotic primes of rational powers in Noetherian rings and lattices. Journal of Algebra. (Accepted 08/30/2006. 35 manuscript pages.) (Refereed)