SATYA DEO
Harish-Chandra Research Institute Chhatnag Road, Jhusi Allahabad-211019, U. P. India. e-mail: vcsdeo@yahoo.com, sdeo94@gmail.com Phone (Mobile):9415309323 |
Date of birth: October 1, 1944 Allahabad, India |
EDUCATION
PROFESSIONAL EXPERIENCE
Positions Held
Teaching Experience
Topology, Functional Analysis, Algebra, Commutative Algebra,
Homological
Algebra, Algebraic Topology, Homology-Cohomology Theories, Homotopy
Theory,
Measure and Integration, Real Analysis, Complex Analysis, Discrete
Mathematics,
Graph Theory, Mathematical Foundation of Computer Science, Data and
File
Structures, Cohomological Dimension Theory, Differential Geometry.
Area of Specialization
Algebraic and Differential Topology, Topological and
Differentiable
Group Actions, Homology-Cohomology Theories, Cohomological
Dimension Theory, Burnside Rings, Hopfian and Cohopfian
Groups,
Spline Modules.
Administrative Experience
Professional Memberships
The following students obtained their Ph.D./D.Sc. Degrees under my
supervision
H.S.Tripathi | 1982 | University of Allahabad | |
T.B.Singh | 1983 | University of Allahabad | |
R.A.Shukla | 1983 | University of Allahabad | |
Mohan Singh | 1984 | University of Jammu | |
S.Muttepawar | 1984 | University of Jammu | |
R.Krishan | 1985 | University of Jammu | |
D.S.Jamwal | 1986 | University of Jammu | |
P.Palanichamy | 1987 | University of Jammu | |
A.N.Roy | 1988 | University of Allahabad | |
J.S.Andotra | 1989 | University of Jammu | |
C.S.Vaid | 1989 | University of Jammu | |
L.Mazumdar | 1997 | R.D.University, Jabalpur | |
J.K.Maitra | 1997 | R.D.University, Jabalpur | |
Dr.M.Shrivastava (D.Sc.) | 1997 | R.D.University, Jabalpur | sdeo-cv |
Three more students are working at Jabalpur.
GRANTS AND AWARDS
Awards/Honours
Research Projects Completed/in Progress
Visiting Appointments
Seminars, Conferences
Attended/Participated
1. DAE Seminar on ``Global Differential Geometry'' at the University
of Mysore, Summer 1982.
2 Instructional Conference on ``Homological Methods in
Commutative
Algebra, TIFR, Bombay, Summer 1971.
3. Seminar in Algebra, Kurukschetra University,
Kurukschetra,
1975.
4. Seminar in Analysis, Panjab University, Chandigarh, 1976.
5. American Math Society annual Meetings at Dallas (Jan1973), Atlanta
( January, 1978).
6. Mathematical Association of America, regional meetings at
Norman, Oklahoma 72, Conway, Arkansas, 73.
7. Indian Mathematical Society annual meetings at Allahabad, 82,
Bhagalpur,
83, Jaipur, 86, Delhi 89, Muzaffarpur, 93, Pune, 94,
Aligarh,
95; Rewa 99, Aurangabad 2000.
8. Indian Science Congress Annual conferences at IIT,
Bombay,
1968, Varanasi, 1981, Ranchi, 1985,
Delhi,
1986, Bangalore, 1987.
9. International Symposium on Spline Theory and its Applications
at Jabalpur University, Jabalpur, Dec 1982.
10. Symposium on ``Recent Advances in Topological and Bitopological
spaces'', University of Delhi, 1982.
11. DMV Seminar on ``Surgery Theory and Geometry of Representations''
Dusseldorff, West Germany, July 1987.
12. The UGC Instructional Conference in Algebraic and Differential
Topology, Allahabad, Feb 8-28, 1988.
13. The NBHM Instructional Conference on Numerical and Finite Element
Methods, IGNOU, New Delhi, Oct 22-Nov 2, 1991.
14. International Conference on Advances in Computational Mathematics,
IGNOU, New Delhi, Jan 5-9, 1993.
15. Canadian Mathematical Society summer meetings at Banff, 1994,
Calgary
1996.
16. National Conference on Geometry and Topology, R.D.University,
Jabalpur,
Dec 18-22, 1995.
17. Conference on Topology and Geometry, Indian Institute of Science,
Bangalore, Dec 18-23, 1996.
18. Conference on Novikov Conjecture, ISI, Calcutta,
Dec
98.
19. American Mathematical Society Meeting at Toronto, Canada,
Sep 2000.
20. Conference on Low-Dimensional Topology, University of All'd
and HRI (joint), All'd Dec 2000.
Invited Talks Delivered
1. Instructional Conference at the TIFR, Bombay, Summer1971,
one-hour
lecture on Regular Local Rings--Nagata's Theorem
2. MRI, Allahabad, Aug 1976, One hour lecture on Smith Fixed
Point Theorems.
3. Department of Mathematics, IIT, Kanpur, Feb 1975, One hour
lecture, On Large cohomological dimensions.
4. University of Arkansas at Pine-Bluff, Russelville and Conway
(77-78), one hour each,on (i) Cantor Sets (ii) Curves in
Planes
(iii) Cauchy's Theorem and Homology resp.
5. Colloquium Lectures at Maths Departments of the universities of
Allahabad, Jammu, Arkansas, on Topics of contemporary
interests.
6. International Symp. on Spline Theory and Appl., Jabalpur Dec 27-31,
1981, One hour talk, on Compact subsets of real line admitting free
Z-actions.
7. Recent Advances on Topological and Bitopological spaces, Univ
of Delhi, Jan 2-4, 1981, one hour lecture on Group
actions on finitistic spaces.
8. Forty Eigth Annual Conference of the Indian Mathematical Society,
Bhagalpur, Dec 27-30, 1982, one hour lecture on
Tautness of cohomology theories.
9. Seventy First Annual Conference of the Indian Science
Congress,
Jan 3-8, 1984, on Orbit spaces and the Connor Conjecture
10. A series of six seminar lectures at the Indian Statistical
Institute
, New Delhi, Summer 1983 on Sheaves, their cohomology
and
the cohomological dimensions.
11. Department of Mathematics, University of Meerut, March
1986,
one-hour lecture on Development of Category Theory .
12. Society of Mathematical Sciences, University of Delhi, April
1985, one hour talk on Group actions on manifolds
13. Fifty Second Annual Conference of the Indian Mathematical Society
Jaipur, Dec 27-30, 1986, on hour talk on Converse
of Smith fixed point theorems -the smooth case.
14. Seventy Fourth Annual Conference of the Indian Science
Congress,
Bangalore, 1987, half-hour talk on Completely
finitistic
paces.
15. A series of four seminar lectures at the Universitat
Tubingen,
West Germany, June 1987, on Topology of
finitistic
spaces.
16. A seminar lecture at the Mathematisches Institute, Konstanz,
West Germany, June 1987, one hour, on Orbit
spaces of finitistic spaces.
17. A Series of nine Seminar-Lectures at the Carleton University,
Ottawa, Sep-Nov 1987 on Cohomology structure of fixed
point
sets and orbit spaces.
18. Colloquium Lecture at the Memorial University, St John's,
New Foundland, Oct 1987 on Group Actions and the
Hilbert-Smith
Conjecure.
19. Colloquium Lecture at the University of St Louis, St
Louis,
Missouri, Oct 1987, on Cohomology Theory of Group
Actions.
20. Colloquium Lecture at the University of Arkansas,
Fayetteville,
Nov 1987, on Retraction properties of the orbit spaces.
21. Four one-and-half hour lectures at the NBHM Instructional
Conference
on Algebraic and Differential Topology at the University of
Allahabad,
Feb 8-28, 1988, on Foundational lectures on Transformation
Groups.
23. Two Seminar Lectures at the University of Calgary, Calgary,
Sept 1988, one hour each, on Tautness in
cohomology
theories .
24 Colloquium Lecture at the Carleton University, Ottawa,
Dec 1, 1988, on Algebraic dimension and the
Alexandroff's
Problem.
25. Colloquium Lecture at the University of Calgary, Dec
15, 1988, on Cohomological dimensions and the
Alexandroff's
Problem.
26. Annual conference of the Indian Mathematical Society,
University
of Delhi, Dec 27-30, 1989, one hour lecture on Isomorphic
Burnside Rings.
27. Conference on Mathematics, Banaras Hindu University,
Varanasi,
Dec 21-22, 1990, one hour lecture on Group
representations
and the Burnside Rings.
28. Two one-hour lectures at the NBHM Instructional Conference at
IGNOU,
New Delhi, Oct 22-Nov 2, 1991, on Dimension of Multivariate
Spline
Spaces.
29. Three one-hour lectures at the Institute of Technology, BHU,
Varanasi, Jan 1992 on Multivariate splines and their applications.
30. One-hour lecture at the ICODMIC Conference on Geometry at the IIT,
New Delhi, Dec 1993, on Cell-like mappings and
cohomological
dimesion.
31. Three one-hour lectures at the Workshop on Novikov Conjecure at
the Indian Statistical Institute, Calcutta, Dec 1993,
on Novikov Conjecture and the cyclic
cohomology.
32. Colloquium Lecture at the University of Hawaii at Manoa,
Summer 1993, on Projective dimensions of spline modules.
33. Two one-hour seminar lectures at the University of Calgary,
Summer 1994, on Seifert Fiber Bundles and their
Fundamental
Groups.
34. Two one-hour lectures at the University of Allahabad, Feb
1995, on Transformation Groups and the Smith Theory.
35. One hour lecture at the National Conference on Geometry and
Topology,
R.D.University, Jabalpur, Dec 18-22, 1995 on Cohopficity
of the Manifold groups.
36. Colloquium Lecture at the M.S.University, Baroda, Jan
1986, on Discrete Groups and Discontinuous Actions.
37. Colloquium Talk at the University of Auckland, New
Zealand,
April 98 on Spline modules and their freeness
38. Half hour invited talk at the American Mathematical Society meeting
at Toronto, Sept 2000 on Free actions on products of
spheres.
39. Presidential lecture (General), Indian Mathematical Society Annual
Conference at Aurangabad, Dec 19, 2000.
40. Presidential Lecture (Technical) at the Indian Math Soc Annual
Conference at Aurangabad, Dec 19, 2000, on Methods of
algebraic
topology in transformation
groups.
41. Twelve Lectures at the University of Arkansas, USA on Smith
Theory, Fall 2001.
Lectures at the UGC Refresher Courses
RESEARCH PUBLICATIONS
1. An example of nonexcisiveness in Sheaf cohomology, Proc.
Amer.
Math. Soc. 46(1975) 501-503, MR 52 #1559.
2. On Tautness of Alexander-Spanier cohomology, Proc. Amer. Math.
Soc. 2 (1975)441-444, MR 52 #1670.
3. One-dimensional manifold is of cohomological dimension two, Proc.
Amer. Math. Soc. 52(1975) 445-446, MR 52 #15433.
4. Cohomological dimension of an n-manifold is n+1, Pacific J. Math
67 (1976)155-160, MR 57 #4186.
5. A note on singular cohomology with coefficients in sheaves
Math
Japonica 21(1976) 229-230, MR 55#6412.
6. On cohomology of simple sheaves, Acta Math.Hung.31(1978)
217-230, MR 57#13919.
7. On an extension of Localization Theorem and generalized Connor
Conjecture
Trans. Amer. Math. Soc. 25(1982) 395-402, MR 83a:57501.
8. On the converse of some theorems about orbit spaces, Jour. Lond.
Math Soc 25(1982) 162-170, MR 83k:54039.
9. Compact Lie group actions on finitistic spaces, Topology
21(1982) 391-399, MR 83k:54042.
10. Sheaf-theoretic cohomological dimensions and finitistic spaces
Proc.
Amer. Math. Soc. 86(1982) 545-550, MR 84b:55010.
11. On orbit spaces of compact group actions (with P.Palanichamy)
Acta
Math. Hung. 40(1982) 209-215, MR 85e:54045.
12. On certain constructions in finitistic spaces (with Mohan Singh)
Intern. Jour Math and Math Sci. 3(1983)477-482, MR
85c:54058.
13. Tautness in sheaf cohomology, Math. Ann. 263(1983)
221-225, MR 84g:55008.
14. Inverse limit theorem and extension theorem in cohomological
dimensions
(with S.Muttepawar)
Bull Aust Math. Soc. 28(1983) 67-75 MR 85j:55002.
15. Local and global cohomological properties which pass on to the
orbit spaces, Indian Jour. Pure Appl Math. 14(1983)
1319-1326.
MR 85h:57049.
16. Cohomological dimension and the sum theorems (with R.A.Shukla)
Acta
Math Hung 43(1984)17-24, MR 85h:54040.
17. Countable sum theorems for locally closed sets (with D.S. Jamwal)
Bull
Aust Math Soc 29(1984) 47-55, MR 85k:54040.
18. Large cohomological dimension and tauness (with Ram Krishan and
D.S.Jamwal) Jour.Aust Math Soc. 17(1985) 49-51, MR
85k:54041.
19. Completely finitistic spaces are finite dimensional (with
A.R.Pears)
Bull. London Math. Soc. 17(1985) 49-51, MR 85k:54041.
20. On Sheaf theoretic cohomological dimension of X and beta(X) (with
Subas Muttepawar) Indian J. Math 27(1985)248-253, MR 87i:55002.
21. Finitistic and locally finitistic spaces (with Mohan Singh and
D.S.Jamwal) Indian J. Math 27(1985) 183-194, MR
87i:54101.
22. On tautness and the Subset theorem for large cohomological
dimension
(with Ram Krishan) Bull Calcutta Math Soc. 77(1985)
248-253,
MR 87i :55002.
23. On compactly dominated spaces (with Ram Krishan)Acta Math Hung
47(1986) 301-319, MR 87i:54054.
24. A note on twisted products, Indian J. Math
29(1987)59-63,
MR 88g:22001.
25. The converse of Smith fixed point theorems -- the smooth case,
Math
Student 55(1987) 177-181.MR 91c:01042.
26. Cohomologies with exotic supports and the generalised excision
(with Ram Krishan and D.S.Jamwal) Jour. Aust Math Soc. 45(1988)
326-340, MR 89h:55010.
27. Tautness and locally finitely-valued Alexander-Spanier cochains
(with A.N.Roy) Proc Amer Math Soc 102(1988)425-430, MR
89c:55007
28. On cohomological dimension of a space and its Stone-Cech
Compactification
(with S.Muttepawar)
Colloq. Math LV(1988)35-39, MR 89i:54046.
29. On completely finitistic spaces (with J.S.Andotra) Bull Cal
Math Soc. 80(1988)173-177, MR 89k:54022.
30. On equivariant co-homology theories (with A.N Roy) Bull
Calcutta
Math Soc 79(1987)170-179, MR 89e:55014.
31. On cotaut subspaces (with Chander Shekhar) Bull Calcutta Math.
Soc 81(1989)203-210, MR 90i:55003.
32. Some examples of non-taut subspaces (with K.Varadarajan) Pacific
J. Math 147(1991)47-56, MR91k:55006.
33. Isomorphic Burnside rings (with K.Varadarajan) J. Algebra
139(1991) 468-483, MR 92d:20010.
34. On G-finitistic spaces and related notions (with J.S.Andotra) Inter.
Jour. Math and Math. Sciences 15(1992)371-378, MR 93i:54031.
35. Countably finitistic spaces, Bull Calcutta Math. Soc.
84(1992)549-556,
MR 93m:54039.
36. Cohomology projective spaces of finite cohomological dimension
need not be finitistic, Letters, National Acad of
Sciences,
India 15(1992)45-48, MR94c:55001.
37. Invariance of dimension of multivariate spline spaces, Jour.
Indian Math Soc. 60(1994)71-81, MR 95g:41047.
38. On hopfian and cohopfian zero-dimensional spaces (with K.
Varadarajan)
Jour.
Ramanujan Math Soc. 9(1994)177-202, MR 95j:54020.
39. On projective dimension of spline modules, J. Approx Theory
84(1996) 12-30. 40. Homogenization of ideals in multivariate spline
rings
(with L. Mazumdar) Jour Indian Math Soc. 62(1996)149-162.
41. Isomorphic Burnside rings II (with K.Varadarajan), J.
Orissa Math Soc Prof Mohanty Felicitation Volume
12-15(1993-96)291-299.
42. Discrete groups and discontinuous actions (with K.Varadarajan)
Rocky
Mount J. Math 27(1997)559-593.
43. On projective dimension of multivariate splines on Manifolds, Math
Student, 65(1996), 166-175.
44. On hopfian and cohopfian groups (with K.Varadarajan), Bull Aust
Math Soc. 56(1997)17-24.
45. Automorphism groups of truncated polynomial algebras, (with
J.K.Maitra) National Acad Sciences Letters 20(1997)95-80
,
46. An algorithm for constructing a basis for C^{r}-spline modules
over polynomial rings, Mathematics of Computation (with
L.Mazumdar),
67 (1998) 1107-1120.
47. Free actions of finite groups on products of symmetric powers of
even spheres (with J.K.Maitra), Proc. Amer. Math. Soc.
128(1999)299-306.
48. Some finiteness properties of groups and their automorphism groups,
(with K.Varadarajan and P. Sankaran), Algebra Colloquium
7(2000)411-424.
49. On the torsion of the group of homeomorphisms of the powers of
Long Line (with David Gauld) J. Aust Math Soc 70(2000)311-322.
Expository papers and books
1. Mathematics and Intuition, Bull. E.C.college,
Allahabad,
1(1968) 1-10.
2. Cohomology of sheaves and cohomological dimensions, University
of Allahabad Studies, 9(1977)131-139.
3. Topology of finitistic spaces, Bull of Allahabad Math Soc.
2(1987)37-61, MR 91k:54011.
4. Lectures on Transformation Groups, Proc. Allahabad Conference
on Algebraic and Differential Topology, 1988.
5. Finiteness properties of groups and their automorphism groups, COSSIST
Lectures, Jadavpur University, Calcutta,
1997.
6. Algebraic Topology -- a Primer, Hindustan Book Agency,
New Delhi, 2003.TRIM Series #27
CITATIONS
1. G.E. Bredon, Sheaf Theory, Springer Verlag, Graduate
Texts in Mathematics (1997) refers on pages 171 and 463 to one of
my results on Large Cohomological Dimensions proved in : Satya
Deo,
Pacific J. Math 67 (1976)155-160.
2. C.Allday and V.Puppe, Cohomological Methods in Transformation
Groups, Cambridge University Press 1993, refers, on page
143,
to our work on orbit spaces of finitistic spaces : Satya Deo and H.S.
Tripathi,
Topology21(1982) 393-399.
3. E.H. Spanier, Tautness for Alexander-Spanier Cohomology,
Pacific J. Math 75 (1978) has given an alternative proof of one of my
results
proved in : Satya Deo, Proc Amer Math Soc 52(1975)441-444.
4. V.I. Kuzminov and A.I. Svedov have generalized ( Dokl SSSR 17(1986)
one of our results on Large Cohomological Dimension proved in
:Satya
Deo, Proc. Amer Math Soc 52(1975) 445-449.
5. Rainer Loewen has used, in his paper Journ. fur Riene und
Angwandte(1985),
our results on cohomological dimensions proved in : Satya Deo and T.B.
Singh, Jour London Math Soc 25(1982) 162-170.
6. Y.Hattori, Questions and Answers in General Topology 3(1985),
has used three of our papers on finitistic spaces which appeared in
Bull
London Math Soc
17(1985) 49-51, Topology 21(1982) 393-399, and Int
J Math and Math Sciences.