# Faculty

## Saul Lubkin

*Professor of Mathematics*

PhD, Harvard University, 1963

705 Hylan Hall

(585) 275-9426

Fax: (585) 273-4655

saul.lubkin@rochester.edu

### Biography

#### Positions Held

University of Rochester, Professor, July 1974-present

University of the Witwatersrand, Visiting Professor (for "two Johannesburg, South Africa blocks"), April 22 - Aug 20, 1985

Institute for Advanced Study,Princeton, New Jersey, Member with NSF grant, September 1981-June 1982

Senior Visiting Fellow of the Science Research Council of the U.K., March 23-May 31, 1979 (Liverpool, Cambridge, Nottingham, Sussex, Warwick, Exeter, Kings College London, Edinburgh Scotland)

Penn State University, Associate Professor July 1971-July 1972, Professor, July 1972-July 1974

Institute for Advanced Study, Princeton, New Jersey, Member with grant-in-aid, June 1970-June, 1971

Harvard University Sloane Foundation Fellow Fall term, 1968 and NSF Research Fellow, September 1969-June 1970 (On Sabbatical with the Sloane Fellowship, September, 1969 - January 1970, NSF Research Fellow, January-June 1970. Official title at Harvard was Honorary Research Fellow.)

University of California, Berkeley Assistant Professor Sept 1966-June 1970

Institute for Advanced Study, Princeton, New Jersey, Member with grant-in-aid, September 1965-September 1966 and September 1966-September 1967

Stanford University, NSF Postdoctoral Fellowship, September 1964-September 1965

University of Oxford, UK NSF Postdoctoral Fellowship, September 1963-September 1964

Brandeis University, Research Associateship, September 1962-September 1963

Project ALP (IDA, NSA), Stanford University (Summer, 1960) and UCLA (Summer, 1961), Mathematician, June-September 1960 and June-September 1961

#### PhD Theses, Supervised

Alex Kasiukov, "Higher Dagger Completions of Linear Direct Systems", 2001

Tiantang Peng, "Lubkin's Conjectures About Lifted Cohomology Theory", 1987

Jinsung Yoo, "A Lefschetz Duality Theorem in p-Adic Cohomology", 1987

Richard Sot, "Canonical Classes in p-Adic Cohology", 1980

Goro Kato, "Zeta Matrices of Elliptic Curves", 1978

### Selected Publications

#### Research Books

- Cohomology of Completions (North Holland Mathematics Studies No. 42, Notas de Matematica (71). 1980.) 802 pg.
- A Non-Hausdorff Completion Subtitle: The Abelian Category of C-complete Left Modules Over a Topological Ring (World Scientific Publishing Co., 2015). 347 pg.

#### Papers Published in Journals

- "Zeta Matrices of Elliptic Curves," Journal of Number Theory, Vol 15, No. 3, December 1982, pp. 318-330, 1980 (co-authored with Goro Kato).
- "A Formula for lim inv 1", Proc. of NSF Regional Summer Conference on "Analytical Methods in Commutative Algebra," George Mason University, Fairfax, Virginia, September 1979, pp. 257-273.
- "A Problem in Hypercohomology Modulo p". Springer Lecture Notes in Mathematics, Vol. 732. Algebraic Geometry, Proc., Copenhagen, 1978, pp. 372-373.
- "Finite Generation of Lifted p-Adic Homology with Compact Supports. Generalization of the Weil Conjectures to Singular Non-Complete Algebraic Varieties." Journal of Number Theory, Vol. 11, No. 3, Aug., 1979 (special "Chowla" issue), pp. 412-464.
- "Finite Generation of lifted p-Adic homology with compact supports. Generalization of the Weil conjectures to singular, non-complete algebraic varieties." Springer-Verlag Lecture Notes in Math. 732, Algebraic Geometry, Proceedings, Copenhagen 1978, pp. 317-372.
- Notices, Vol. 25, No. 6, Issue No. 188, Oct. 1978, p. A-628. Abstract No. 760-A2.
- "Second Leray spectral sequence of relative hypercohomology," Proc. Natl. Acad. of Sci., U.S.A., Vol. 75, No. 10, pp. 4666-4667, Oct. 1978. (Co-authored with Goro Kato).
- "Generalization of p-Adic Cohomology; Bounded Witt Vectors. A Canonical Lifting of A Variety in Characteristic p > 0 back to Characteristic Zero," Compositio Mathematica, Vol. 34, Fasc. 3, 1977, pp. 225-277.
- Notices, Vol. 14, No. 1, Issue No. 95, Jan. 1967, pg. 100 Abstract No. 642-126.
- "A result on the Weil Zeta Function," Trans. Amer. Math. Soc., 139, (1969), 297-300.
- "A p-Adic Proof of Weil's Conjectures," Annals of Math., 97, nos. 1-2, Jan. & March 1968, 105-255.
- "On a Conjecture of Andre Weil," Amer. J. of Math., 89 (1967), 443-458.
- "Theory of Covering Spaces," Trans. Amer. Math. Soc. 104 (1962), 205-238.
- "Imbedding of Abelian Categories," Trans. Amer. Math. Soc., 97 (1960), 410-417.