List of Publications

  

 

 

            1.      Factorization of a birational morphism between 4-folds, Math. Ann.256  (1981), 391-399.

 

            2.      Non-commutative algebra of dimension 3 over integral schemes (with R. Miranda), Trans. of the Amer. Math. Soc. 292, 2 (1985), 705-712.

 

            3.      Existence of simply connected algebraic surfaces of positive and zero indices (with B. Moishezon), Proceedings of the National Academy of Sciences, United States of America 83 (1986), 6665-6666.

 

            4.      On toroidal embeddings of 3-folds, Israel Journal of Mathematics 57, no. 1 (1987), 49-67.

 

            5.      Multiplicity one theorem for  GSp(k,2n) and O(k,4) where k is a finite field, Journal of Algebra  107, no. 2 (1987), 436-465.

 

            6.      Simply connected algebraic surfaces with positive index (with B. Moishezon), Inventiones Math. 89 (1987), 601-643.

 

            7.      Galois covers in theory of algebraic surfaces (with B. Moishezon), Amer. Math. Soc. Pub. PSPM  46 (1987), 47-65.

 

            8.      Braid group techniques in complex geometry I, Line arrangements in CP2 (with B. Moishezon), Contemporary  Math. 78 (1988), 425-556.

 

            9.    Braid group techniques in complex geometry II, From arrangements of lines and conics to cuspidal curves,(with B. Moishezon), in: Algebraic Geometry,  Lecture Notes in Math. 1479 (1990), 131-180.

 

          10.    Finite fundamental groups free over Z/cZ for Galois covers of CP2 (with B. Moishezon), Math. Ann. 293 (1992), 749-766.

 

          11.    Foundations for expert systems in projective geometry (with Y. Halevi), Proceedings of ILA (Israel Society for Information Processing), November 1992 (in Hebrew), 203-224.

 

          12.    Braid group techniques in complex geometry III, Projective degeneration of V3 (with B. Moishezon), Contemporary Math. 162 (1994), 313-332.

 

          13.    Braid group techniques in complex geometry IV, Braid monodromy of S3, the branch curve of p3: V3 ® CP2 and applications to p1(CP2 - S3,*) (with B. Moishezon), Contemporary Math. 162 (1994), 333-358.

 

          14.    Fundamental groups of complements of branch curves as solvable groups (with               B. Moishezon), Israel Mathematical Conference Proceedings 9 (1995), 329-346.(PDF File)

 

          15.    Braid group techniques in complex geometry V, the fundamental group of a complement of a branch curve of a Veronese generic projection, (with B. Moishezon), Communications in Analysis and Geometry 4, no. 11 (1996), 1-120. (PDF File)

 

          16.    On Galois covers of Hirzebruch surfaces (with B. Moishezon and A. Robb), Math. Ann. 305 (1996), 493-539.

 

          17.    Correspondence between representations of dual reductive pairs of  O(n,k) and Sp(2,k) (with Piatetski-Shapiro),  Beiträge zur Algebra und Geometrie 38, no. 1 (1997), 145-148. Printed also (with permission) in: the volume "Sitzungsberichte der Berliner Mathematischen Gesellschaft  1993-1996" (1998),  103-106.

 

          18.    Applications of braid group techniques to the decomposition of moduli spaces, new   examples (with A. Robb),  Topology and its Applications 78 (1997), 143-151.(PDF File).

 

          19.    Commutativity of the Schur algebra, Beiträge zur Algebra und Geometrie 38, no. 1 (1997), 135-143. Printed also (with permission) in the volume "Sitzungsberichte der Berliner Mathematischen Gesellschaft  1993-1996" (1998), 107-116.

 

          20.    On the quotient of the braid group by commutators of transversal half-twists and its group actions,  Topology and its Applications 78  (1997), 153-186. (PDF File).

 

          21.    Braid groups, algebraic surfaces and fundamental groups of complements of branch curves, Amer. Math. Soc. Publications PSPM  62, no.1 (1997), 127-150.(PDF File).

 

          22.    The braid group, knots and algebraic geometry (with J. Birman), Topology and its Applications  79 (1997), 1-4.

 

          23.    The variety  of the set of representation of D¥ and SL2(z), “Sitzungsberichte der Berliner Matematischen Gesellschaft  1997-2000”  (1998), 177-179.

 

          24.    Chern classes of fibered products of surfaces, Documenta Mathematica 3 (1998),           321-342.(PDF File).

 

          25.    Open questions on fundamental groups of complements of curves, Proceedings of  Kernforschungszentrum Jülich, 1998.

 

          26.    New invariants of surfaces, Contemporary Math. 231 (1999), 271-281.(PDF File).

 

          27.    The fundamental group of a CP2-complement of a branch curve as an extension of a solvable group by a symmetric group,  Math. Ann. 314 (1999), 19-38.(PDF File).

 

          28.    On Emmy Noether, Israel Mathematical Conference Proceedings 12 (1999),  1-3.

 

          29.    Hirzebruch surfaces: degenerations, related braid monodromy, Galois covers, Contemporary Math. 241 (1999), 305-325.(PDF File).

 

          30.    The fundamental group's structure of the complement of some configurations of real line arrangements (with D. Garber), in: Complex Analysis and Algebraic Geometry  (T. Peternell, F.-O. Schreyer, eds.), de Gruyter, 2000, pp. 173-223.(PDF File).

 

          31.    Braid monodromy factorization and diffeomorphism types (with V. Kulikov), Russian Acad. Sci. Izvestiya Math. 64:2 (2000), 89-120.(PDF File).

 

          32.    Braid monodromy of special algebraic curves (with M. Amram), Journal of Knot Theory and its Ramifications 10 (2001), no. 2, 171-212.(PDF File).

 

          33.    Multiple-view geometry of non-planar algebraic curves (with M. Fryers, J.Y. Kaminski and A. Shashua), Proceedings of the International Conference of Computer Vision, 2001.

 

          34.    Some applications of algebraic curves to computational vision (with J.Y. Kaminski  and  M. Fryers), Applications of Algebraic Geometry to Coding Theory, Physics, and Computation, NATO Science Series II: Mathematics, Physics and Chemistry, vol. 36, 2001, 121-137. (PDF File).

 

          35.    Pillow degenerations of K3 surfaces (with C. Ciliberto and R. Miranda), in: Applications of Algebraic Geometry to Coding Theory, Physics, and Computation, NATO Science Series II: Mathematics, Physics and Chemistry, vol. 36, 2001, 53-63.(PDF File).

 

          36.    BMT invariants of surfaces and 4-manifolds, in: Trends in Singularities, Birkhauser, 2002, 215-222.(PDF File).

 

          37.    The fundamental group of the Galois cover of the surface CP1 ΄ T (with M. Amram,      D. Goldberg and U. Vishne), Algebraic and Geometric Topology 2 (2002), no. 20, 403-432. (PDF File).

 

          38.    Identifying half-twists using randomized algorithm methods (with S. Kaplan), Journal of  Symbolic Computation 34 (2002), 91-103 .(PDF File).

 

          39.    Writing and dysgraphia in ADHD (with E. Adi-Japha, R. Shalev and L. Frenkel), Neuroplasticity  9 (2) (2002), p. 65.

 

          40.    Solving the EEG Inverse problem using Genetic Algorithms (with E. Adi-Japha, A. Kleks and A. Zilberstein), Neuroplasticity  9 (2) (2002), p. 126.

 

          41.    A new algorithm for solving the word problem in braid groups (with D. Garber and S. Kaplan), Advances in Math  167, no.1 (2002),  142-159.(PDF File).

 

          42.    Classes of wiring diagrams and their invariants (with D. Garber and U. Vishne), Journal of Knot Theory and its Ramifications 11, no.8 (2002), 1165-1191.(PDF File).

 

          43.    Solving the braid word problem via the fundamental group (with S. Kaplan), Advances in Algebra and Geometry, Hindustan Book Agency Ltd., New Delhi, India, Birkhauser, Nov. 2002, pp.217-238.

 

          44.    General trajectory triangulation (with J.Y. Kaminski), Proceedings of the European Conference of Computer Vision, 2002.

 

          45.    On the degeneration, regeneration and braid monodromy of T΄T (with M. Amram), Acta Appl. Math. 75, 2003, 195-270.PDF File).

 

          46.    p1-classification of arrangements with up to 8 lines (with D. Garber and U. Vishne), Topology 42 (2003), 265-289.  (PDF File).

 

          47.    Fundamental groups of some conic-line arrangements (with M. Amram and  M. Uludag), Topology and its Applications 130, no. 2 (2003), 159-173. (PDF File).

 

          48.    Hurwitz equivalence in B3 (with T. Ben-Itzhak), International Journal of Algebra and Computation 13, no. 3, (2003), 277-286.(PDF File)

 

          49.    Properties of Hurwitz equivalence in the braid group of order n (with T. Ben-Itzhak), Journal of Algebra 264 (2003), 15-25.(PDF File)

 

          50.    Graph theoretic methods for determining non-Hurwitz equivalence in the braid group and symmetric group (with T. Ben-Itzhak), Israel J. Math. 135 (2003), 83-91. (PDF File).

 

          51.    The fundamental group of the complement of the branch curve of the double torus (with M. Amram), Osaka Journal of Mathematics 40, no.4 (2003), 857-893.(PDF File).

 

          52.    A general framework for trajectory triangulations (with J.Y. Kaminski), Journal of Mathematics Imaging and Vision 21 (2004), 27-41.

 

          53.    Topological algorithms for conjugation of half-twists in the braid group with application to Hurwitz equivalence (with T. Ben-Itzhak), Proceedings of the Fano Conference (A. Collina, A. Conte, M. Marchisio, eds.), 2004, pp. 209-222

 

          54.    Coxeter covers of the symmetric groups (with L. Rowen and U. Vishne), Journal of Group Theory 8 (2005), 139-169.

 

          55.    Recovering an algebraic curve from its projections to different planes (with M. Fryers and J.Y. Kaminski), Journal of the European Mathematical Society 7 (2005), 145-172.

 

          56.    The Coxeter quotient of the fundamental group of a Galois cover of T ΄ T (with M. Amram and  U. Vishne), to appear in Communications in Algebra.

 

          57.    Conjugacy in Artin groups and application to the classification of surfaces (with E. Godelle and S. Kaplan), to appear in Journal of Algebra and Applications.

 

         58.    Probabilistic solutions of equations in the braid groups (with D. Garber, S. Kaplan, B. Tsaban and U. Vishne), to appear in Advances in Applied Mathematics.