Curriculum vitae

English (.ps)(.pdf)
Spanish (.ps)(.pdf)

My publications in MathSciNet

My publications in Zentralblatt MATH

My publications in arxiv.org

(whether these links work may depend on where you are)

RESEARCH INTERESTS

Algorithmic Algebra and Computational Algebraic Geometry - Elimination theory for systems of polynomial equations

RESEARCH ARTICLES

1. Cortadellas Benitez, Teresa; D'Andrea, Carlos . Minimal generators of the defining ideal of the Rees Algebra associated to monoid parametrizations. arXiv:0803.2166v2

2. D'Andrea, Carlos; Tabera, Luis Felipe. Tropicalization and irreducibility of generalized Vandermonde determinants. Proc. Amer. Math. Soc. 137 (2009), no. 11, 3647--3656. arXiv:0803.2166v2

3. D'Andrea, Carlos; Sombra, Martin. The Newton polygon of a rational plane curve.  arXiv:0710.1103
   

4. D'Andrea, Carlos;  Sombra, Martin. Rational parametrizations, intersection theory and Newton polytopes. The IMA Volumes in Mathematics and its Applications: Vol 151: Nonlinear Computational Geometry, 35-50 (2009). click

5. D'Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes. Sylvester's double sums: the general case. J. Symbolic Comput. 44 (2009), 1164-1175. math.AC/0701721

6. D'Andrea, Carlos; Chipalkatti, Jaydeep (with an appendix by Abdelmalek Abdesselam). On the jacobian ideal of the binary discriminant. Collect. Math. 58,2 (2007), 155-180. math.AG/0601705

7. D'Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes. An elementary proof of Sylvester's double sums for subresultants. J. Symbolic Comput. 42 (2007), 290-297. math.AC/0604418

8. D'Andrea, Carlos; Lalín, Matilde. On the Mahler measure of resultants in small dimensions. J. Pure Appl. Algebra 209 (2007) no. 2, 393-410. math.NT/0604359

9. D'Andrea, Carlos; Jeronimo, Gabriela. rational formulas for traces in zero-dimensional algebras. Appl. Algebra Engrg. Comm. Comput. 19 (2008), no. 6, 495-508. math.AC/0503721

10. D'Andrea, Carlos; Khetan, Amit. Implicitization of rational surfaces using toric varieties. J. Algebra 303 (2006) 543-565. math.AG/0401403

11. D'Andrea, Carlos; Krick, Teresa; Szanto, Agnes. Multivariate subresultants in roots. J. Algebra 302 (1), 16-36, 2006. math.AG/0501281

12. Busé, Laurent; D'Andrea, Carlos. A matrix-based approach to properness and inversion problems for rational surfaces. Appl. Algebra Engrg. Comm. Comput. 17 (2006), no. 6, 393-407. math.AC/0410478

13. D'Andrea, Carlos; Sombra, Martin. The Cayley-Menger determinant is irreducible for n>=3. Siberian Math. J., 46 (2005), no. 1, 71--76.math.AC/0406359

14. D'Andrea, Carlos. On the irreducibility of the determinant of the matrix of moving planes. Comm. Algebra 33 (2005), no. 4, 1065-1072.math.AG/0312388

15. D'Andrea, Carlos; Khetan, Amit. Macaulay style formulas for the toric residue. Compos. Math. 141 (2005), no. 3, 713-728. math.AG/030715

16. D'Andrea, Carlos; Jeronimo, Gabriela. Subresultants and generic monomial bases. J. Symbolic Comput. 39 (2005), no. 3-4, 259-277. math.AG/0301355

17. Busé, Laurent; D'Andrea, Carlos. Inversion of parameterized hypersurfaces by means of subresultants. ISSAC 2004, 65-71, ACM, New York, 2004. click

18. D'Andrea, Carlos; Hare, Kevin G. On the height of the Sylvester resultant. Experiment. Math., 13 (2004), no. 3, 331-341. math.NT/0310276

19. Busé, Laurent; D'Andrea, Carlos. On the irreducibility of multivariate subresultants. C. R. Acad. Sci. Paris Sér. I Math 338 (2004), 287-290. math.AG/0309374

20. D'Andrea, Carlos. On the structure of mu-classes. Comm. Algebra 32 (2004), no. 1, 159-165. math.AG/0204177

21. Busé, Laurent; Cox, David; D'Andrea, Carlos. Implicitization of surfaces in P^3 in the presence of base points. J. Algebra Appl. 2 (2003) 189-214. math.AG/0205251

22. D'Andrea, Carlos; Emiris, Ioannis Z. Sparse resultant perturbations. In Algebra, Geometry, and Software Systems (edited by Michael Joswig and Nobuki Takayama), Springer Verlag 2002, 93-107. click

23. D'Andrea, Carlos; Emiris, Ioannis Z. Hybrid sparse resultant matrices for bivariate polynomials. Computer algebra (London, ON, 2001). J. Symbolic Comput. 33 (2002), no. 5, 587-608. click

24. D'Andrea, Carlos. Macaulay style formulas for sparse resultants. Trans. Amer. Math. Soc. 354 (2002), no. 7, 2595-2629. math.AG/0107181

25. D'Andrea, Carlos; Emiris, Ioannis Z. Computing sparse projection operators. Symbolic computation: solving equations in algebra, geometry, and engineering (South Hadley, MA, 2000), 121-139, Contemp. Math., 286, Amer. Math. Soc., Providence, RI, 2001. click

26. D'Andrea, Carlos; Dickenstein, Alicia. Explicit formulas for the multivariate resultant. Effective methods in algebraic geometry (Bath, 2000). J. Pure Appl. Algebra 164 (2001), no. 1-2, 59-86. math.AG/0007036

27. D'Andrea, Carlos. Resultants and moving surfaces. J. Symbolic Comput. 31 (2001), no. 5, 585-602. math.AG/0101260

28. Cattani, Eduardo; D'Andrea, Carlos; Dickenstein, Alicia. The A-hypergeometric system associated with a monomial curve. Duke Math. J. 99 (1999), no. 2, 179-207.math.AG/9805005

OTHER PUBLICATIONS

1. Ph. D Thesis. Fórmulas Explícitas para el Cálculo de Resultantes y Aplicaciones (Spanish), Universidad de Buenos Aires 2001

2. Undergraduate Thesis. Funciones Algebraicas y Sistemas Hipergeométricos de Ecuaciones Diferenciales (Spanish), Universidad de Buenos Aires 1997

3. D'Andrea, Carlos; Sombra, Martin. Sobre corbes paramètriques i polígons de Newton (Catalan). Butlletí de la Societat Catalana de Matemàtiques Vol. 23, num. 2 (2009), 201-219

4. D'Andrea, Carlos; Sombra, Martin. Sobre curvas paramétricas y polígonos de Newton (Spanish). La Gaceta de la RSME, vol. 11 (2008), num. 2, 317-336
   

5. D'Andrea, Carlos; Gomez, Emiliano. The broken spaghetti noddle. The American Mathematical Monthly, Vol. 113, 6, 555-556, 2006

6. Bonomo, Flavia; D'Andrea, Carlos; Laplagne, Santiago; Szew, Martin. Explorando la geometría en los clubes Cabri (Spanish). Book edited by Red Olimpica, Argentina, 1997

NOTES AND TRANSPARENCIES OF TALKS AND COURSES

• Distribución de raíces de sistemas de ecuaciones polinomiales. Slides of a talk given at the University of Buenos Aires, December 2008

• Subresultants in multiple roots. Slides of a talk given at INRIA Sophia Antipolis, France, November 2008

• Computing the Newton polygon of offsets to plane algebraic curves. Slides of a talk given at FOCM, Hong Kong, June 2008

• Tropical Implicitization of Algebraic Plane Curves. Slides of a talk given in Genoa, Italy, May 2008

• Implicitación a la Newton Puiseux (Spanish). Slides of a talk given in Alcala de Henares, Spain, April 2008

• The Newton polygon of a rational plane curve. Slides of a talk given in Sophia Antipolis, France, November 2007

• Sylvester's double sum: the general case. Slides of a talk given in Strobl, Austria, June 2007
  

• Bezout's Theorem and Implicitization. Slides of a talk given at the Institute of Mathematics and its Applications, Minneapolis, USA, June 2007

• Un teorema de Frobenius sobre el rango y la signatura de una forma cuadrática real (Spanish). Notes of a class given at the University of Barcelona, July 2009

• Cálculo de raices reales de polinomios (Spanish). Notes of a course given at Universidad Nacional del Nordeste, Argentina, August 2006

• Algoritmos en matemática elemental (Spanish). Slides of a talk given at Universidad del Nordeste, Argentina, August 2006

• Resultants and Subresultants: univariate vs multivariate case. Notes and slides of a talk given at the Winter School of Commutative Algebra, Universitat de Barcelona, January 2006
  

• Sucesiones Linealmente Recurrentes (Spanish). Notes of a course given at Universidad del Nordeste, Argentina, November 2005

• Cómo triangular ecuaciones (Spanish). Notes of a talk given in "Primer Semana de la Matemática" organized by CBC, Universidad de Buenos Aires, 2000

FORTHCOMING EVENTS

• Seminari Geometria Algebraica, Universitat de Barcelona/Universitat Politècnica de Catalunya

• Thematic Program on the Foundations of Computational Mathematics, Toronto, Canada, July-December 2009

• Toric Geometry Seminar 2010 "Combinatorial Commutativa Algebra with applications to Statistics and Optimization" , Cáceres, Spain, November 2010

• Conference on Foundations of Computational Mathematics, Budapest, Hungary, July 2011

NO IMPORTA EL LUGAR...

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