Biography

Curriculum Vita – PDF

Curriculum Vita Indices

Academic Degrees

  • 1965 M.Sc., Hebrew U. of Jerusalem, Israel.
  • 1971 Ph.D., Hebrew U. of Jerusalem.

Academic Appointments

  • 1965-70 Teaching Assistant, Hebrew U. of Jerusalem.
  • 1970-71 Instructor, Hebrew U. of Jerusalem.
  • 1974-78 Senior Lecturer, Technion.
  • 1978-87 Associate Professor, Technion.
  • 1987- Professor, Technion.
  • 1993- The Technion Management Chair in Mathematics. Technion.
  • 2008(Oct.)- Professor Emeritus. Technion.

Visiting Appointments

  • 1971 – 1974 Visiting Assistant Prof., Louisiana State U., Baton Rouge, Louisiana.
  • 1977 – 1978 V. Assoc. Prof., Ohio State U., Columbus, Ohio.
  • 1980 – 1982 V. Assoc. Prof., Texas A&M U., College Station, Texas.
  • 1988 – 1989 V. Prof., Texas A&M U., College Station, Texas.
  • 1989 – 1990 V. Prof., U. of Illinois, Urbana-Champaign, Illinois.
  • 1997 Aug. – 1998 Feb. V. Prof.: U. of Illinois, Urbana- Champaign, Illinois.
    U. of Kiel, Kiel, Germany., U. of Oldenburg, Oldenburg, Germany
    Polish Acad. of Science and Warsaw U., Warsaw, Poland
    U. de Marne-la-Vallee, France
    Odense U., Odense, Denmark
    U. of Kiel, Kiel, Germany.
  • 2002 June – 2003 Oct. On Sabbatical leave from Technion abroad.
  • 2002 Aug.-Dec. V. Prof., U. of Missouri, Columbia, Missouri.
  • 2007 Sept. – 2008 Jan. V. Prof., Texas A&M U., College Station, Texas.

Short Term International Visits and Appointments

  • 1975 Summer Visiting Research Scientist, U. of Florida, Gainesville, Florida, U.S.A.
  • 1983 Summer V. Prof., U. of Kiel, Kiel, Germany.
  • 1984 Summer V. Assoc. Prof., U. of Texas at Austin, Texas, U.S.A.
  • 1986 Summer V. Assoc. Prof., U. of Texas at Austin, Texas, U.S.A.
  • 1987 September V. Prof., Odense U., Odense, Denmark.
  • 1988 February V. Prof., U. of Paris VI, Paris, France.
  • 1991 Summer V. Prof., Texas A&M U., College Station, Texas, U.S.A.
    V. Prof., U. of Alberta, Edmonton, Canada,
    V. Prof., Odense U., Odense, Denmark.
  • 1992 May V. Prof., U. of Zaragoza, Zaragoza, Spain.
  • 1992 Summer V. Prof., Texas A&M U., College Station, Texas, U.S.A.
    V. Prof., U. of Illinois, Urbana-Champaign, Illinois, U.S.A.
    V. Prof., U. of Paris VI, Paris, France.
  • 1992 Sept. – Oct. V. Prof., Warsaw U., Warsaw, Poland.
  • 1993 August V. Prof. Texas A&M U. and, U. of Illinois, Urbana-Champaign, Illinois, U.S.A.
  • 1993 September V. Prof., U. of Paris VI, Paris, France.
  • 1994 September V. Prof., Odense U., Odense, Denmark.
  • 1994 Nov. – Dec. V. Prof., U. of Kiel, Kiel, Germany.
  • 1995 July V. Prof., U. de Marne-la-Vallee, France.
  • 1995 Aug. – Sept. V. Prof., Odense U., Odense, Denmark.
  • 1996 Feb. – March General Member at the Mathematical Sciences Research Institute MSRI,
    Berkeley, California, U.S.A.
  • 1996 August V. Prof., U. of Kiel, Kiel, Germany.
  • 1996 Sept. – Oct. V. Prof., U. de Marne-la Vallee, France.
  • 1998 February V. Prof., U. of Kiel, Kiel, Germany.
  • 1998 July V. Prof., Texas A&M U., College Station, Texas, U.S.A.
  • 1998 August V. Prof., U. of Kiel, Kiel, Germany.
  • 1998 September V. Prof., U. de Marne-la-Vallee, France.
  • 1999 April V. Prof., Erwin Schroedinger Institute, Vienna, Austria.
  • 1999 July V. Prof., U. of British Columbia, Vancouver, Canada.
  • 1999 July – Aug. V. Prof., U. of Kiel, Kiel, Germany.
  • 1999 Aug. – Sept. V. Prof., U. de Marne-la-Vallee, France.
  • 2000 July V. Prof., U. of Kiel, Kiel, Germany.
  • 2000 August V. Prof., Odense U., Odense, Denmark, Renyi Institute of Math., Hungarian
    Acad. Science, Budapest, Hungary.
  • 2000 September V. Prof., U. de Marne-la-Vallee, U. of Paris VI, France.
  • 2001 July 1 – Aug. 10 V. Prof., U. of Kiel, Germany
  • 2001 Sept. 6 – Oct. 11 V. Prof., U. de Marne-la-Vallee, France
  • 2002 July 1 – Aug. 12 V. Prof., U. of British Columbia, Pacific Institute of Mathematical
    Sciences, Vancouver, Canada.
  • 2003 Dec. 25 – Jan. 8 V. Prof., U. of Illinois, Urbana-Champaign, Illinois.
  • 2003 Jan. 10 – Feb. 15 V. Prof., Australian Natl. U., Canberra, Australia.
  • 2003 Feb. 15 – Apr. 4 V. Prof., U. of Alberta, Edmonton, Alberta, Canada.
  • 2003 Apr. 21 – May. 31 V. Prof., U. de Marne-la-Vallee, France.
  • 2003 July 1 – July 31 V. Prof., U. of Kiel, Kiel, Germany.
  • 2003 Aug. 1 – Aug. 15 V. Prof., U. of Southern Denmark, Odense, Denmark.
  • 2003 Aug. 15 – Sept. 23 V. Prof., U. de Marne-la-Vallee, France.
  • 2003 Sept. 23 – Oct. 10 V. Prof., U. of Seville, Seville, Spain.
  • 2004 June 30 – July 9 V. Prof., U. of Alberta, Edmonton, Canada.
  • 2004 July 24 – Aug. 2 V. Prof., U. of Purdue, Lafayette, Indiana.
  • 2004 Aug. 2 – Aug. 26 V. Prof., Case Western Reserve U., Cleveland, Ohio.
  • 2004 Aug. 26 – Sept. 26 V. Prof., U. de Marne-la-Vallee, France.
  • 2005 Aug. 25 – Sept. 25 V. Prof., U. de Marne-la-Vallee, France.
  • 2006 Aug. 13 – Aug. 28 V. Prof., U. of Alberta, Edmonton, Canada.
  • 2006 Aug. 28 – Sept. 27 V. Prof., U. de Marne-la-Vallee, France.
  • 2008 Jan. 2 – Feb. 1 V. Miller Scholar Professorship, U. of Missouri, Columbia, Missouri.
  • 2008 Feb. 1 – March 6 V. Prof., U. of Alberta, Edmonton, Canada.
  • 2009 Jan. 16 – Feb. 1 V. Prof., U. of Alberta, Edmonton, Canada.
  • 2009 Aug. 26 – Dec. 25 V. Prof., Foundation Sciences Mathematiques de Paris and U. Paris-Est Marne-la-Vallee, France.
  • 2010 April 2 – 8 V. Prof., U. of Alberta, Edmonton,Canada.
  • 2011 Apr. 15 – May 15 U. Paris-Est Marne-la-Vallee, France.

Technion Committees

  • 1979 & 1980 Coordinated Committee for Graduate Students in Mathematics.
  • 1979 & 1980 Representative of the Math. Dept. in Graduate School.
  • 1984 & 1985 Chairman of the Math. Library Committee.
  • 1991 & 1992 Member of Technion Senate elected committee for Academic Development.
  • 1992 & 1993 Member of Technion Degree Committee in Graduate School.
  • 1993 & 1994 Member of preliminary review committee for promotions, tenure and job
    applications in Math. Dept.
  • 1994 & 1995 Initiated, and participated in Dean appointed committee for organizing studies
    leading to a new Technion degree in “Mathematics with Computer Science”.
  • 1999 – 2001 Member of Technion Senate elected committee for honorary degrees.
  • 2003 – 2007 Chairman of Visiting Scientists and Post-Doc committee.

Grants and Prizes

  • 1972-74: N.S.F. Grant # GP-34193, Principal Investigator (P.I.)
  • 1975: N.S.F. Grant # MPS-74-64198 A 01, (P.I.)
  • 1977-78: N.S.F. Grant # MCS-77-04174, (P.I.)
  • 1981: N.S.F. Grant # MCS-81-09561, (P.I.)
  • 1983: Mahler prize for Mathematics, jointly with Y. Benyamini.
  • 1983: Israel Academy of Science Grant for Mathematics, jointly with J. Lindenstrauss, V.
    Milman and G. Schechtman.
  • 1983-99: Grants for the promotion of research at the Technion.
  • 1989-91: N.S.F. Grant #DMS-8909745, (P.I.)
  • 1991-2007: Yearly grants for the promotion of research at the Technion.
  • 1987-92: U.S.A. – Israel Binational Science Foundation Grant #86-00074.
  • 1994: Scientic Exchange Program grant between the Royal Danish Academy and Israel
    Ministry for Arts and Sciences.
  • 1996: Arc en Ciel – Scientic Exchange Program grant between France and Israel.
  • 2001-2002: 2 year Nato Collaborative Linkage GrantPST.CLG.977406.
  • 2001-2002: Arc-en-Ciel, Exchange grant supported by the French Government.
  • 2004-2008: Member of the Marie Curie Euronet network project “Phenomena in High
    Dimensions”.
  • 2005-2007: Principal Investigator in the France-Israel Collaborative Exchange Agreement:
    Project No. 3-1350 (with U. of Paris VI, U. de Marne-la-Vallee, U. of Haifa, Technion).
  • 2007-2009: Collaborative Exchange Agreement: Project No. 3-1350 (with U. of Paris VI, U. de
    Marne-la-Vallee, U. of Haifa, Technion).

Reviews Memberships Research

Reviewer for the American Mathematical Society, National Science Foundation, U.S.A.-Israel Binational Science Foundation.
American Mathematical Society, Israel Mathematical Union, European Mathematical Society.
Fields Functional Analysis, Banach spaces, Probability in Banach spaces, Geometry, Approximation Theory.

Organizational Activities

Organized the Functional Analysis section of the Annual Israel Mathematical Union conference, April 1994.

Member of the organizing committee of the Functional Analysis Section in the American Mathematical Society & Israel Mathematical Union International Conference, May 1995.

Scientific committee, with V. Milman (Chair) and J. Lindenstrauss and G. Schechtman, in organizing the international workshop on “Convex Geometric Functional Analysis”, April 2000, supported by the Israel Academy of Science.

International Workshop in “Geometric Convex Analysis”, Technion, March 2000.

Geometric and Topological Aspects of Functional Analysis, Technion and Haifa University, May 19-22, 2002.

Asymptotic Geometric Analysis (conference in honor of Nicole Tomczak-Jaegermann), Dead Sea, June 2005.

Editorial Board

February 1996 – Editorial Board member of POSITIVITY – International Journal Devoted to the Role of Positivity in Analysis and its Applications, Birkhäuser.

Recent Colloquia And Seminar Talks Abroad

  • “Volume formulas in Lp spaces”, Seminar, . Univ. of Illinois at Urbana-Champaign, Illinois, U.S.A., Sept. 4, 1997″.
  • “Spherical sections having large dimensions of arbitrary convex bodies”, Seminar, Univ. of Illinois at Urbana-Champaign, Sept. 11, 1997.
  • “Spherical sections of convex bodies, part I”, Seminar, U. of Oldenburg, Germany, Oct. 24, 1997.
  • “Spherical sections of convex bodies, part II”, Seminar, U. of Oldenburg, Germany, Oct. 31, 1997.
  • “Probabilistic methods in functional analysis and geometry”. Colloquium, U. of Oldenburg, Germany, Nov. 11, 1997.
  • “Spherical sections of convex bodies”, Colloquium, Free U. of Berlin, Nov. 19, 1997.
  • “Large dimensional Euclidean sections in convex bodies and Dvoretzky’s theorem”, Seminar, Polish Acad. of Science, Warsaw, Nov. 25, 1997.
  • “Volume formulas in Lp spaces”, Seminar, Polish Acad. of Science, Warsaw, Dec. 2, 1997.
  • “Volume formulas in Lp spaces”, Conference on Convex Geometry, Oberwolfach, Germany, Dec. 8-13, 1997.
  • How to nd Euclidean sections in convex bodies?”, Seminar in Analysis, Odense U., Odense, Denmark, Jan. 22, 1998.
  • “How to nd Euclidean sections in convex bodies?”, Colloquium, U. of Kiel, Kiel, Germany, Feb. 13, 1998.
  • “Volume ratios in Lp spaces”, Analysis Seminar Technical University, Vienna, Austria, April 16, 1999.
  • “Euclidean Sections of Some Classical Banach Spaces”, Funct. Analysis Seminar, U. of Kiel, Germany, July 19, 2000.
  • “Best Estimates on Euclidean Sections of Classical Banach Spaces”, Colloquium, U. of Odense, Denmark, Aug. 10, 2000.
  • “Best Estimates on Euclidean Sections of Classical Banach Spaces”, Renyi Institute, Hungarian Acad. of Science, Budapest, Hungary, Aug. 29, 2000.
  • “Geometry of balls between zonotopes and polytopes”, Seminar U. of Paris VI, October 4, 2001.
  • “Probability estimates in Orlicz spaces”, U. de Marne-la-Vallee, October 2l, 2001.
  • “Probabilistic and geometric estimates on some parameters in the local theory of convex bodies”, Colloquium, U. of Indiannapolis-Purdue IUPUI, Sept. 20, 2002.
  • “Random subspaces of dimension k that miss sets in Rn”, Convex Geometry Seminar, U. of Missouri-Columbia, USA, Oct. 30, 2002.
  • “Random subspaces of dimension k that miss sets in Rn, part II”, Convex Geometry Seminar, U. of Missouri-Columbia, USA, Nov. 6, 2002.
  • “Applications of Gaussian processes to convex geometry”, Modern Analysis Seminar, U. of Missouri-Columbia, USA, Nov. 12, 2002.
  • “The Fritz-John theorem for arbitrary convex bodies”, Banach Space Seminar, U. of Missouri-Columbia, USA, Dec. 3, 2002.
  • “On the Banach Mazur distance between convex bodies”, Analysis Seminar, Univ. of Kiel, Germany, Aug. 14, 2003.
  • “The Fritz-John theorem for arbitrary convex bodies”, Banach Space Seminar, University of Southern Denmark, Odense, Denmark, Aug. 24, 2002.
  • Series of three invited research seminar talks on geometric and probabilistic aspects of geometry, University of Seville, Spain, Sept. 26, Oct. 1 and 8, 2003.
  • Two invited research seminar talks on geometric and probabilistic aspects of geometry, University of Alberta, Edmonton, Canada, Aug. 13-28, 2006.
  • Seminar talk “Simple proofs of some important theorems in Local Theory”, U. de Marne-la-Vallee, France Sept. 26, 2006.
  • 2 Seminar talks in October 2007 on Generalizations of the F. John theorem to convex bodies, and 1 talk in December 2007 on “New proof of the Restricted Isometry Property (RIP) in Approximation Theory”, in Texas A&MUniversity, College Station, Texas.
  • Colloquium in U. of Alberta, Edmonton, on “Applications of the Gaussian Min-Max theorem”, Jan 30, 2008.
  • Colloquium in U. of Cyprus, Nicosia, on “Applications of the Gaussian Min-Max theorem”, May 5, 2008.

Submitted

A. Dmitriyuk, Y. Gordon, Large distortion dimension reduction using random variables.

Book Review

Nicole Tomczak-Jaegermann, Banach Mazur distances and finitedimensional operator ideals, Pitman Monographs and Surveys in Pure and Applied Mathematics, 38, John Wiley & Sons Inc., New York, 1989; Math. Reviews 90k:46039.

Graduate Students

  • Jacob Grinberg: M.Sc. 1978. Thesis title: Properties of operators between Hilbert spaces.
  • Orna Taub: M.Sc. 1984 (Replaced Prof. Yoav Benyamini for 2 years). Thesis title: Lipschitz projections in finite dimensional spaces.
  • Gregory Bronshtein: M.Sc. 1998. Thesis title: Parameters in Banach spaces.
  • Alon Dimitriyuk: M. Sc. 2005. Thesis title: Volume respecting embeddings of finite metric spaces.
  • Alon Dimitriyuk: Ph.D. 2011. Thesis title: Asymptotic and probabilistic estimates on distortions of linear mappings between convex bodies.