CURRICULUM VITAE


Martin A. Moskowitz





ADDRESS
Department of Mathematics
CUNY Graduate Center
365 Fifth Ave.
New York, NY 10016
(212) 817 8530


420 Riverside Dr. Apt. 8G
New York, NY 10025
(212) 316 3438

email: martin.moskowitz@gmail.com



EDUCATION

B.A., Brooklyn College, 1957
M.A., University of California at Berkeley, 1959
Ph.D., University of California at Berkeley, 1964
Thesis Advisor: G.P. Hochschild.


TEACHING AND RESEARCH EXPERIENCE

Instructor, University of Chicago, 1964-66
Assistant Professor, Columbia University, 1966-69
Associate Professor, CUNY Graduate Center, 1969-1975
Professor, CUNY Graduate Center, 1975-present
Visiting Prof., Univ. of Cal. (Berkeley), Summers 1968, 1970, Spring 1998
Visiting Prof., Univ. of Paris VI, Spring 1976
Visiting Prof., Univ. of Rome (La Sapienza), Spring 1990, Summer 1991
Visiting Prof., Univ. of Rome (Tor Vergata), Summers 1993, 1995, 1997, 1999, 2001, Spring 1998, 2012, Fall 2010
Visiting Prof., Tech. Univ.  Darmstadt, Summer 1999
Visiting Prof., SUNY Stonybrook, Spring 2011


GRANTS AND FELLOWSHIPS


Recipient of National Science Foundation grants, 1964-1972
Principal Investigator, National Science Foundation grants, 1973-82, 86-87
NATO Senior Post Doctoral Fellowship in Science, Spring 1976
Fellow, Centro Nazionale delle Ricerche Spring 1990, Summers 1991, 1993, 1995, 1997, 1998 and 1999
Recipient of PCS-CUNY grants, 1970-2003 inclusive
Principal Investigator, CUNY speakers program seminar grant (Lie theory and symmetric spaces) 1996-97
Principal Investigator, CUNY Collaborative Grant 1996-1999 (with A. Koranyi and Z. Szabo)
Principal Investigator, CUNY Collaborative Grant 2000-2003 (with A. Koranyi, M. Psarelli and Z. Szabo)
Fellow, Centro Nazionale delle Ricerche and Univ. of Rome (Tor Vergata) Fall 2010, Spring 2012


INVITED ADDRESSES at CONFERENCES

Conference on Representation Theory and Harmonic Analysis, Oberwohlfach, Germany (1969, 1973, 1979, 1983)
Convegno di Analisi Armonica, Italy (1993, 1995, 1998)


CITY UNIVERSITY SERVICE (Graduate Center)

Academic Review Committee 
Central Faculty Steering Committee
Committee on Committees
Curriculum and Degree Committee
Doctoral Faculty Policy Commitee
Graduate Council
University Faculty Senate
Deputy Chairman (Director of Graduate Studies), Ph.D. Program in Mathematics, CUNY Grad. Center 1982-84, 2000-01, 2002-03 
Chairman, Ph.D. Program in Mathematics, CUNY Grad. Center 1984-86 and 1989-92


AREAS OF SPECIALIZATION

Topological groups, Lie groups and algebraic groups
Representation theory and harmonic analysis
Homogeneous spaces of finite volume


PROFESSIONAL ORGANIZATIONS and ACTIVITIES

Member, American Mathematical Society
Member, Editorial Board, Journal of Lie Theory


Ph.D. STUDENTS

Richard Mosak: The L1 and C*-algebras of [FIA]B groups and their representations; 1970 (Columbia University). 
John Liukkonen: Compactness conditions and duals of topological groups; 1970 (Columbia University).
Claire Sit: On bounded elements and centralizers of generalized uniform subgroups of locally compact groups; 1973 (CUNY Graduate Center).
Sheldon Rothman: The von Neumann kernel and minimally almost periodic groups; 1978 (CUNY Graduate Center).
Paolo Barbano: Automorphisms and quasiconformal mappings of Heisenberg type Lie groups; 1995 (CUNY Graduate Center). 
Huale Hwang: Classification of the lattices in certain split solvable groups; 1997 (CUNY Graduate Center).
Martin Brock: Conjugate Reducibility of Families of Block-Diagonal Matrices over an Extension of a Perfect Field and Applications to Matrix Subalgebras and Subgroups; 2004 (CUNY Graduate Center). 
Ioannis Farmakis: Cohomological aspects of complete reducibility of representations; 2009 (CUNY Graduate Center).


RESEARCH PUBLICATIONS 

  1. On central topological groups, Research Announcement, Bull. A.M.S., 72 (1966), 826-830. (with S. Grosser).
  2. Representation theory of central topological groups, Research Announcement, Bull. A.M.S., 72 (1966), 831-837. (with S. Grosser).
  3. Homological algebra in locally compact abelian groups, Trans. A.M.S., 127 (1967), 361-404.
  4.  On central topological groups, Trans. A.M.S., 127 (1967), 317-340. (with S. Grosser).
  5. Representation theory of central topological groups, Trans. A.M.S., 129 (1967), 361-390. (with S. Grosser).
  6. Über Automorphismengruppen localkompakter Gruppen und Derivationen von Lie Gruppen, Math. Zeitschrift, 114 (1970), 321-339. (with S. Grosser and O. Loos).
  7. Cyclic vectors for representations of locally compact groups, Math. Ann., 190 (1971), 265-288. (with F. Greenleaf).
  8. Compactness conditons I and II, J.F. Reine, u. Ang. Math., 246 (1971), 1-40. (with S. Grosser).
  9. Harmonic analysis on central topological groups, Trans. A.M.S., 156 (1971), 419-454. (with S. Grosser).
  10. Central idempotents in measure algebras, Math. Zeitschrift, 122 (1971), 217-222. (with R.D. Mosak).
  11. A note on automorphisms of Lie Algebras, Atti della Accademia Nazionale dei Lincei, ser. 8. 51 (1971), 1-4.
  12. Duality and harmonic analysis on central topological groups, Indigationes Math., 76 (1973), 65-91. (with S. Grosser and R.D. Mosak).
  13. Some results on groups with unique square roots, Portugaliae Math., 33 (1974), 93-99.
  14. Cyclic vectors for representations associated with positive definite measures: non-separable groups, Pac. J. Math., 45 (1973), 165-186. (with F. Greenleaf).
  15. A remark on faithful representations, Atti della Accademia Nazionale dei Lincei, ser. 8. 52 (1972), 829-831.
  16. Unbounded conjugacy classes in Lie groups and the location of central measures, Acta Math. (Scand.), 132 3-4, (1974), 225-243. (with F. Greenleaf and L. Rothschild).
  17. Compactness of certain homogeneous spaces of finite volume, Amer. J. Math., 97 no.1, (1975), 248-259. (with F. Greenleaf and L. Rothschild).
  18. Central idempotent measures on connected locally compact groups, J. Func. Anal., 15 no. 1 (1974), 22-32. (with F. Greenleaf and L. Rothschild).
  19. Automorphisms, orbits and homogeneous spaces of non-connected Lie Groups, Math. Annalen, 212 (1974), 145-155. (with F. Greenleaf and L. Rothschild).
  20. On pro-reductive groups, Proc. Camb. Phil. Soc., 76 Part 2 (1974), 1401-1406.
  21. Faithful representations and a local property of Lie groups, Math. Zeitschrift, 143 (1975), 193-198.
  22. Some results on autmorphisms of bounded displacement and bounded cocycles, Monatshefte fur Math., 85 (1978), 323-336.
  23. On the density theorems of Borel and Furstenberg, Arkiv for Matematik 16 No. 1 (1978), 11-27.
  24. Groups of automorphisms of Lie groups: density properties, bounded orbits, and homogeneous spaces of finite volume, Pacific J. Math., 86 (1980), 59-87. (Volume dedicated to Professor G.P. Hochschild on the occasion of his 65th birthday). (with F. Greenleaf).
  25. An abstract Borel density theorem, Proc. A.M.S., 78 (1980), 19-22.
  26. A unipotent group associated with certain linear groups, Colloq. Math., XLIII (1980), 41-45. (with F. Greenleaf and L. Rothschild).
  27. On a certain representation of a compact group, J. of Pure and Applied Algebra, 36 (1985), 159-165.
  28. Uniform boundedness for nonabelian groups, Proc. of Camb. Phil. Soc., 97 (1985), 107-110.
  29. Bilinear forms and 2 dimensional cohomology, Jour. of Australian Math. Soc., 41 (1986), 165-179.
  30. Zariski density in Lie groups, Israel Jour. of Math., 52 (1985), 1-14. (with R.D. Mosak).
  31. Analytic density in Lie groups, Israel Jour. of Math., 58 (1987), 1-9. (with R.D. Mosak).
  32. On the surjectivity of the exponential map in certain Lie groups, Annali di Matematica Pura ed Applicata, Serie IV-Tomo CLXVI (1994), 129-143.
  33. A note on the exponential map of a real or p-adic Lie group, J. of Pure and Applied Algebra, Vol 96 (1994), 113-132. (with L. Corwin).
  34. Stabilizers of lattices in Lie groups, J. of Lie Theory, Vol 4 (1994), 1-16. (with R.D. Mosak).
  35. Exponentiality of algebraic groups, Journal of Algebra, 186 (1996), 20-31.
  36. Lattices in a split solvable Lie group, Proc. Camb. Phil. Soc., 122 (1997) 245-250. (with R.D. Mosak).
  37. Correction and addenda to: On the surjectivity of the exponential map in certain Lie groups, Annali di Matematica Pura ed Applicata, Serie IV-Tomo CLXXIII (1997), 351-358.
  38. Exponentiality of certain real solvable Lie groups, Canad. Math. Bull., 41 (1998), 368-373. (with M. Wüstner).
  39. Complete reducibility and Zariski density in linear Lie groups, Math. Zeitschrift, 232 (1999), 357-365.
  40. Contributions to real exponential Lie groups, Monatshefte für Mathamatik, 130 (2000), 29-47. (with M. Wüstner).
  41. The exponential map and differential equations on real Lie groups, J. of Lie Theory, Vol 13 (2003), 291-306. (with R. Sacksteder).
  42. (Invited Survey Article) Symmetric Spaces of Noncompact Type, CUBO, Vol 7 (2005), 111-138.
  43. An extension of Mahler’s theorem to simply connected nilpotent groups, Rendiconti Accademia Nazionale dei Lincei (Matematica) Vol 16 (2005), 265-270.
  44. On Complex Exponential Groups, Mathematical Research Letters Vol 6 (2008), 1197-1210 (with R. Sacksteder).
  45. A compactness property associated with coverings of real algebraic groups, International Journal of Pure and Applied Mathematics Vol 47 (2008), 281-285.
  46. Finiteness properties for lattices in certain Lie groups, Arkiv for Matematik 48 No. 2 (2010), 311-321 (with F. Greenleaf).
  47. An extension of the Minkowski-Hlawka theorem, Mathematika Vol 56 (2010), 203-216 (with R. Sacksteder).
  48. An extension of Minkowski’s convex body theorem to certain simply connected nilpotent groups, Portugaliae Mathematica Vol 67 No. 4 (2010), 541-546.
  49. Gerhard Hochschild Memorial Article, (AMS Notices Sept. 2011, 1078-1099), (with W. Ferrer).
  50. Some Transitive Linear Actions of Real Simple Lie Groups, J. of Lie Theory, Vol 12 No. 1 (2012) 155-161, (with L. Geatti).
  51. A note on the isometry group of the hyperbolic plane, Beitrage zur Algebra und Geometrie vol. 54 No. 1 (2013) 41-44.
  52. A note on subgroups of cofinite volume, Rendiconti Accademia Nazionale dei Lincei vol. 24 No. 2, (2013) 303-309.
  53. The triangle inequality for graded real vector spaces of length 3 and 4, (to appear Mathematical Inequalities and Applications, 2014).
  54. Lattices in certain 2-step solvable Lie groups, (in preparation), (with F. Greenleaf). 

BOOKS 
  1. A course in Complex Analysis in One Variable, 2002, World Scientific Publishing Co., Singapore.
  2. Adventures in Mathematics, 2004, World Scientific Publishing Co., Singapore.
  3. Basic Lie Theory, 2007, World Scientific Publishing Co., Singapore. (with H. Abbaspour).
  4. Functions of Several Real Variables, 2011, World Scientific Publishing Co., Singapore (with F. Paliogianis).
  5. Fixed Point Theorems and their Applications, 2013, World Scientific Publishing Co., Singapore (with I. Farmakis).
  6. A Graduate Course in Algebra, (in preparation), World Scientific Publishing Co., Singapore (with I. Farmakis).