## CURRICULUM VITAE ## Martin A. Moskowitz |

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 |

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.

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

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

Conference on Representation Theory and Harmonic Analysis, Oberwohlfach, Germany (1969, 1973, 1979, 1983)

Convegno di Analisi Armonica, Italy (1993, 1995, 1998)

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

Topological groups, Lie groups and algebraic groups

Representation theory and harmonic analysis

Homogeneous spaces of finite volume

Member, American Mathematical Society

Member, Editorial Board, Journal of Lie Theory

Richard Mosak: The

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).

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

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