Papers

19. Fewnomial bounds for completely mixed polynomial systems,
    with Frank Sottile, May 2009, 13 pp., Advances in Geometry, to appear.


18. Faster Real Feasibility via Circuit Discriminants,
    with J. Maurice Rojas and Casey Stella, proceedings of ISSAC 2009 (July 28-31, Seoul, Korea), pp. 39-46, ACM Press, 2009.


17. Betti number bounds for fewnomial hypersurfaces via stratified Morse theory,
    with Frank Sottile, Proceedings of the American Mathematical Society, 137 (2009), 2825--2833.


16. Bounds on the number of real solutions to polynomial equations,
    with Dan Bates and Frank Sottile, International Mathematical Research Notices, 2007, no. 23, 7 pp.


15. Gale duality for complete intersection,
    with Frank Sottile, 10 pages, Annales de l'Institut Fourier, 58 (2008), no. 3, 877--891.


14. Euler characteristic of real non degenerate tropical complete intersections,
    with Benoît Bertrand, 30 pages, April 2007, revised on october 2007.


13. On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces,
    with J. Maurice Rojas and Frank Sottile, IMA Volume 146 "Algorithms in Algebraic Geometry" edited by Alicia Dickenstein, Frank-Olaf Schreyer, and Andrew J. Sommese, 15-20, Springer, New York, 2007.


12. New fewnomial upper bounds from Gale dual polynomial systems,
    with Frank Sottile, Moscow Mathematical Journal, volume 7, Number 3, (2007), 387-407.
    (special volume dedicated to Askold Khovanskii for his 60th birthday).


11. Topological types of real regular elliptic surfaces,
    with Frédéric Mangolte, Geometriae Dedicata, volume 127, (2007), 57-73.


10. First steps in algorithmic real fewnomial theory,
    with J. Maurice Rojas and Casey Stella, 25 pages, submitted, january 2006.


9. Polynomial systems supported on circuits and dessins d'enfants,
   J. London Math. Soc. 75 (2007), no. 1, 116-132.


8. Is every toric variety an M-variety ?,
   with Matthias Franz, Clint McCrory and Joost Van Hamel,
   Manuscripta Mathematica 120 (2006), 217-232.


7. Polynomial systems with few real zeroes,
   with Benoît Bertrand and Frank Sottile,
   Math. Zeitschrift 253 (2006), 361-385.


6. Asymptotiques de nombres de Betti d'hypersurfaces projectives réelles,
   Preprint in french, 2003, 28 pages.


5. Asymptotic behaviour of Betti numbers of real algebraic surfaces,
   Commentarii Mathematici Helvetici 78 (2003), 227-244.


4. Viro method for the construction of real complete intersections,
   Advances in Mathematics 169 no 2, (2002), 177-186.


3. Betti numbers of real numerical quintic surfaces,
   "Topology, Ergodic Theory, Real Algebraic Geometry. Rokhlin's Memorial''
   Amer. Math. Soc. Transl. ser. 2 202
   ed. V. Turaev and A. Vershik, (2001), 31-38.


2. Une sextique de l'espace projectif réel avec un grand nombre d'anses,
   Revista Matematica Complutense 14 no 2, (2001), 439-461.


1. Une quintique numérique réelle dont le premier nombre de Betti est maximal
   C. R. Acad. Sci. Paris Ser. 1 Math 329 no 2, (1999), 135-140.
   
   
   
   Last updated: january 2010