CIPRIAN S. BORCEA

Professor of Mathematics
Rider University


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Publications

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  1. Involutive Analytic Quasi-Linear Partial Differential Equations (in Romanian: Ecuatii Analitice cu Derivate Partiale Cvasiliniare in Involutie), in Studii si Cerc. Mat. 1, 1979, pp. 53-61.

  2. Some Remarks on Deformations of Hopf Manifolds, in Revue Roumaine Math. Pures et Appl. 10, 1981, pp. 1287-1294.

    Review in Zentralblatt.

  3. On the Chern Class of a Divisor (in Romanian: Despre Clasa Chern a Unui Divizor), in Studii si Cerc. Mat. 4, 1982, pp. 305-308.

  4. Complex Structures on R1 x Rg, in Bollettino dell'Unione Matematica Italiana 6/2-A, 1983, pp. 139-145.

  5. Families of Smooth Hypersurfaces on Certain Compact Homogeneous Complex Manifolds, in Mathematical Proceedings of the Cambridge Philosophical Society 93, 1983, pp. 315-321.

    Link to paper from publisher.

  6. Smooth Global Complete Intersections in Certain Compact Homogeneous Complex Manifolds, in Journal fur die reine und angewandte Mathematik 344, 1983, pp. 65-70.

    Paper available on-line from EuDML.

  7. Moduli for Kodaira Surfaces, in Compositio Mathematica 52, 1984, pp. 373-380.

    Pdf available on-line from EuDML.

  8. Deformation of Complex Structures (in Romanian: Deformari de Structuri Complexe), in Studii si Cerc. Mat. 6, 1984, pp. 481-510.

  9. K3 Surfaces and Complex Multiplication, in Revue Roumaine Math. Pures et Appl. 31, 1986, pp. 499-505.

  10. Diffeomorphisms of a K3 Surface, in Mathematische Annalen 275, 1986, pp. 1-4.

    Link to paper from publisher.

  11. Deforming Varieties of k-planes of Projective Complete Intersections, in Pacific Journal of Mathematics 143, 1990, pp. 25-36.

    Pdf available on-line from ProjectEuclid.

  12. Nodal Quintic Threefolds and Nodal Octic Surfaces, in Proceedings of the AMS 109, 1990, pp. 627-635.

    Available on-line from the publisher.

  13. Homogeneous Vector Bundles and Families of Calabi-Yau Threefolds, in Duke Math. Journal 61, 1990, pp. 395-415.

    Available on-line from publisher.

  14. Homogeneous Vector Bundles and Families of Calabi-Yau Threefolds II, in Proc. Symp. Pure Math. 52, part 2, Several Complex Variables and Complex Geometry, Part II, 1991, pp. 83-91.

    Link to paper from publisher.

  15. On Desingularized Horrocks-Mumford Quintics, in Journal fur die reine und angewandte Mathematik 421, 1991, pp. 23-41.

    Paper available on-line from EuDML.

  16. Calabi-Yau Threefolds and Complex Multiplication, in Essays on Mirror Manifolds, edited by S. -T. Yau, International Press, Hong Kong, 1992.

    Link to updated edition of the book Mirror Symmetry I from the AMS publisher.

  17. K3 Surfaces with Involution and Mirror Pairs of Calabi-Yau Manifolds, in Mirror Symmetry II, edited by B. Greene and S. -T. Yau , AMS/IP Studies in Advanced Mathematics, 1996.

    Link to book from the AMS publisher.

    The impact of this paper can be assessed via a quick google search on either Borcea-Voisin construction, Borcea-Voisin variety or Borcea-Voisin threefold.

  18. Association for flag configurations, in Commutative Algebra, Singularities and Computer Algebra, NATO Science Series, vol. 115, Kluwer 2003, pp. 1-8.

    Link to paper from publisher.

  19. The number of embeddings of minimally rigid graphs (with I. Streinu), in Discrete and Computational Geometry 31, 2004, pp. 287-303.

    A preliminary version appeared as:
    On the number of embeddings of minimally rigid graphs in Proc. 18th Symposium on Computational Geometry, Barcelona, Spain, June 2002, pp. 25-32.

    On-line: Arxiv | DCG | SoCG

    This paper was awarded the 2004 Moisil Prize in Theoretical Computer Science by the Romanian Academy (conferred in Dec. 2006).

  20. Polygon spaces, tangents to quadrics and special Lagrangians, in Oberwolfach Reports 2004, published by the European Mathematical Society, pp. 2181-2183.

    On-line: Pdf | TIB

  21. Algebraic geometry for constraint problems, in Proc. 7th Asian Symposium in Computer Math. (ASCM 2005), Editors: Sung-il Pae, Hyungju Park, KIAS, pp. 112-114.

  22. Common tangents to spheres in R3 (with X. Goaoc, S. Lazard and S. Petitjean), in Discrete and Computational Geometry 35, 2006, pp. 287-300.

    On-line: INRIA report | Arxiv (Extended version: On tangents to quadric surfaces)

  23. Line transversals to disjoint balls (with X. Goaoc and S. Petitjean), in Discrete and Computational Geometry (Twentieth anniversary volume) 39 No.1-3, 2008, pp. 158-173.

    A preliminary version of this paper appeared in Proc. 23rd Annual ACM Symposium on Computational Geometry 2007 (SoCG'07), Gyeongju, South Korea. ACM Press, pp.245-254, 2007.

    On-line: Arxiv | Pdf | ACM Digital library

  24. Infinitesimally flexible skeleta of cross-polytopes and second-hypersimplices, in Journal for Geometry and Graphics 12, No.1, 2008, pp. 1-10.

    Pdf from publisher.

  25. Extremal configurations of manipulators with revolute joints (with I. Streinu), in Reconfigurable Mechanisms and Robots, Jian S. Dai, Matteo Zoppi and Xianwen Kong (eds.), KC Edizioni, 2009, pp. 279-284.

    Link to paper from publisher.
    Link to the arxiv preliminary version Extremal Configurations of Hinge Structures.

  26. How far can you reach? (with I. Streinu), in Proc. ACM-SIAM Symposium on Discrete Algorithms (SODA 2010) pp. 928-937, 2010.

    Link to paper from ACM digital library.

  27. Periodic frameworks and flexibility (with I. Streinu), in Proceedings of the Royal Society A 466, pp. 2633-2649, 2010.

    Link to on-line paper from publisher.

  28. Minimally rigid periodic graphs (with I. Streinu), in Bulletin London Math. Soc. 43, pp. 1093-1103 (2011), doi:10.1112/blms/bdr044

    Link to paper from publisher.

  29. Extremal reaches in polynomial time (with I. Streinu), in Proc. 27th Symp. Comp. Geometry (SoCG 2011), Paris, France, pp. 472-480. ACM Press (2011).

    Link to paper from the ACM Digital Library.

  30. Exact workspace boundary by extremal reaches (with I. Streinu), in Proc. 27th Symp. Comp. Geometry (SoCG 2011), Paris, France, pp. 481-490. ACM Press (2011).

    Link to paper from the ACM Digital Library.

  31. Flexible crystal frameworks (with I. Streinu), in Proc. Canadian Conf. Comp. Geometry (CCCG 2012), Charlottetown, August 8-10, 2012.

    On-line paper at CCCG site.
    On arxiv as Deformations of crystal frameworks.

  32. Positional worskpace boundary for serial manipulators with revolute joints (with I. Streinu), in Latest Advances in Robot Kinematics, J. Lenarcic and M. Husty, editors, pp. 325-332, Springer, 2012.

    Link to paper from Springer.

  33. Singularity locus for the endpoint map of serial manipulators with revolute joints (with I. Streinu), in Computational Kinematics, Proc. 6th International Workshop on Computational Kinematics (CK2013), Barcelona, Spain, F. Thomas and A. Perez Garcia editors, pp. 271-279, Springer, 2014.

    Link to paper from Springer.

  34. Realizations of volume frameworks (with I. Streinu), in Automated Deduction in Geometry, Editors: Tetsuo Ida and Jacques Fleuriot, Springer 2013, pp. 110-119.

    Link to paper from Springer.

  35. Frameworks with crystallographic symmetry (with I. Streinu) in Philosophical Transactions of the Royal Society series A, Mathematical, Physical and Engeneering Sciencies, vol. 372, 2014.

    Link to on-line paper from Royal Society.

  36. Kinematics of expansive planar periodic mechanisms (with I. Streinu) in Advances in Robot Kinematics, J. Lenarcic and O. Khatib, editors, pp. 395-407, Springer, 2014.

    Link to paper from Springer.

  37. Symmetries of the positive semidefinite cone , in Forum Mathematicum Volume 26, Issue 4, pp. 983-986, doi:10.1515/form.2011.171, (Jul 2014).

    Link to paper from publisher.

  38. Periodic body-and-bar frameworks (with I. Streinu and S. Tanigawa), in SIAM Journal on Discrete Mathematics 29(1), pp. 93-112 (2015).

    A preliminary version appeared in Proc. 28th Symp. Computational Geometry (SoCG 2012), Chapel Hill, NC, USA, June 17-20, 2012, 347-356, 2012.

    On-line: Arxiv
    Link to paper from SIDMA | Link to SoCG paper from ACM Digital Library.

  39. Liftings and stresses for planar periodic frameworks (with I. Streinu), in Discrete and Computational Geometry 53 (2015), pp. 747-782.

    A preliminary version appeared in Proc. 30th Symp. Computational Geometry (SoCG 2014), Kyoto, Japan, June 8-11, 2014.

    On-line: Arxiv
    Link to paper from DCG | Link to SoCG paper from ACM Digital Library.

  40. Volume frameworks and deformation varieties (with I. Streinu), in Automated Deduction in Geometry, Editors: F. Botana and P. Quaresma, Springer 2015, pp. 21-36.

    Link to paper from Springer.

  41. Geometric auxetics (with I. Streinu), in Proc. Royal Society A, 471, 20150033, 2015.

    On-line: Arxiv
    Link to paper from Royal Society.

  42. Deforming diamond (with I. Streinu), in IMA Journal of Applied Mathematics, vol. 82 (2), pp. 371-383, 2017.

    On-line: Arxiv
    Link to paper from Oxford University Press.



Research funded by NSF CCF-1319389 and NIH 1R01GM109456.
Previous support from DARPA "23 Mathematical Challenges".