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

The C3A Research Group

RESEARCH ARTICLES

1. D'Andrea, Carlos; Galligo, André; Sombra, Martín. Quantitative equidistribution for the solutions of a system of sparse polynomial equations. arXiv:1203.1843

2. Cortadellas Benítez, Teresa; D'Andrea, Carlos. Rational plane curves parameterizable by conics. arXiv:1104.2782

3. D'Andrea, Carlos; Krick, Teresa; Sombra Martín. Heights of varieties in multiprojective spaces and arithmetic Nullstellensatze. arXiv:1103.4561

4. D'Andrea, Carlos; Krick, Teresa; Szanto, Agnes. Subresultants in multiple roots. arXiv:1012.4615

5. Busé, Laurent; D'Andrea, Carlos. Singular factors of rational plane curves. J. Algebra 357 (2012) 322-346. arXiv:0912.2723

6. Cortadellas Benítez, Teresa; D'Andrea, Carlos. Minimal generators of the defining ideal of the Rees Algebra associated to monoid parametrizations. Comput. Aided Geom. Design 27 (2010), no. 6, 461-473. arXiv:0907.4669

7. 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

8. D'Andrea, Carlos; Sombra, Martín. The Newton polygon of a rational plane curve. Math.Comput.Sci. (2010) 4:3-24 arXiv:0710.1103
   

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

10. D'Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes. Sylvester's double sums: the general case. J. Symbolic Comput. 44 (2009), no. 9, 1164-1175. math.AC/0701721

11. 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

12. D'Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes. An elementary proof of Sylvester's double sums for subresultants. J. Symbolic Comput. 42 (2007), no.3, 290-297. math.AC/0604418

13. 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

14. 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

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

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

17. 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

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

19. 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

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

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

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

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

24. 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

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

26. 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

27. 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

28. 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

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

30. 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

31. 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

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

33. 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; Gómez, Emiliano. Equidistribution in sharing games

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

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

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

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

EDITORIAL WORK

• Special issue of the Journal of Symbolic Computation on the ocassion of the MEGA 2009 conference, with Marc Giusti, Luis Miguel Pardo and Ragni Piene, Volume 45, Issue 12, Pages 1251-1470 (December 2010)

• Special issue of the Journal of Symbolic Computation featuring revised versions of ISSAC 2007 papers, with Bernard Mourrain, Volume 44, Issue 7, Pages 701-942 (July 2009)

NOTES AND TRANSPARENCIES OF TALKS AND COURSES

• Quantitative equidistribution for the solutions of systems of sparse polynomial equations. Slides of a talk given at the SIAM Conference on Applied Algebraic Geometry, Raleigh, NC, October 2011

• Rational plane curves parameterizable by conics. Slides of a talk given at the Congreso de la RSME, Avila, January 2011

• On the distribution of the roots of sparse systems of polynomial equations. Slides of a talk given at the Toric Geometry Seminar 2010, Jarandilla de la Vera, Spain, November 2010

• Height of varieties and arithmetic Nullstellensatz. Slides of a talk given at EACA, Santiago de Compostela, Spain, July 2010

• Computing minimal generators of the Rees Algebra associated to some rational parametrizations. Slides of a talk given at EACA, Santiago de Compostela, Spain, July 2010

• Computing singularities of rational plane curves. Slides of a talk given at IMPA, Rio de Janeiro, Brazil, July 2010

• Singular factors of rational plane curves. Slides of a talk given at Castro Urdiales,Spain, May 2010

• Effective Hilbert's Nullstellensatz. Slides of a talk given at Georgia State University, Atlanta, December 2009

• 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 Alcalá 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
  

• Bézout'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 raíces 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

• Rational Plane Curves via Commutative Algebra: Three Case Studies, a mini course by David Cox. Barcelona, June 2012

• International Mathematical Olympiad 2012, Mar del Plata, Argentina, July 2012

• elENA VI, Córdoba, Argentina, August 2012

• IV Congreso Latinoamericano de Matemáticos, Córdoba, Argentina, August 2012

• XII ALGA Meeting, Rio de Janeiro, Brazil, August 2012

• Combinatorial Commutative Algebra and Applications, Berkeley, USA, December 2012