Daniel Perrucci

Profesor Asociado
Departamento de Matemática
Facultad de Ciencias Exactas y Naturales
Universidad de Buenos Aires

Investigador Independiente
Instituto de Investigaciones Matemáticas Luis A. Santaló (IMAS)
Conicet

Oficina 2103
Pabellón I - Ciudad Universitaria
(1428) - Ciudad Autónoma de Buenos Aires
Argentina

E-mail: perrucci@dm.uba.ar

Publicaciones

• D. Perrucci, M.-F. Roy, Algebraic winding numbers. J. Algebra 659 (2024), 581-610.
• G. Jeronimo, D. Perrucci, Rational certificates of non-negativity on semialgebraic subsets of cylinders. J. Pure Appl. Algebra 228 (2024), no. 6, paper no. 107596, 12 pp.
• S. Basu, D. Perrucci, Topology of real multi-affine hypersurfaces and a homological stability property. Adv. Math. 420 (2023), paper no. 108982, 33 pp.
• P. Escorcielo, D. Perrucci, A few more extensions of Putinar's Positivstellensatz to non-compact sets. Adv. Geom. 22 (2022), no. 3, 421-429.
• D. Perrucci, M.-F. Roy, A new general formula for the Cauchy Index on an interval with Subresultants. J. Symbolic Comput. 109 (2022), 465-481.
• P. Escorcielo, D. Perrucci, On sum of squares certificates of non-negativity on a strip. J. Pure Appl. Algebra 225 (2021), no. 7, paper no. 106607, 21 pp.
• P. Escorcielo, D. Perrucci, A version of Putinar's Positivstellensatz for cylinders. J. Pure Appl. Algebra 224 (2020), no. 12, paper no. 106448, 16 pp.
• H. Lombardi, D. Perrucci, M.-F. Roy, An elementary recursive bound for effective Positivstellensatz and Hilbert 17-th problem. Mem. Amer. Math. Soc. 263 (2020), no. 1277.
• D. Perrucci, M.-F. Roy, Quantitative fundamental theorem of algebra. Q. J. Math. 70 (2019), no. 3, 1009-1037.
• P. Escorcielo, D. Perrucci, On the Davenport-Mahler bound. J. Complexity 41 (2017), 72-81.
• D. Perrucci, M.-F. Roy, Elementary recursive quantifier elimination based on Thom encoding and sign determination. Ann. Pure Appl. Logic 168 (2017), no. 8, 1588-1604.
• G. Jeronimo, D. Perrucci, A probabilistic symbolic algorithm to find the minimum of a polynomial function on a basic closed semialgebraic set. Discrete Comput. Geom. 52 (2014), no. 2, 260-277.
• D. Perrucci, M.-F. Roy, Zero-nonzero and real-nonreal sign determination. Linear Algebra Appl. 439 (2013), no. 10, 3016-3030.
• G. Jeronimo, D. Perrucci, E. Tsigaridas, On the minimum of a polynomial function on a basic closed semialgebraic set and applications. SIAM J. Optim. 23 (2013), no. 1, 241-255.
• D. Perrucci, Linear solving for sign determination. Theoret. Comput. Sci. 412 (2011), no. 35, 4715-4720.
• G. Jeronimo, D. Perrucci, On the minimum of a positive polynomial over the standard simplex. J. Symbolic Comput. 45 (2010), no. 4, 434-442.
• G. Jeronimo, D. Perrucci, J. Sabia, On sign conditions over real multivariate polynomials. Discrete Comput. Geom. 44 (2010), no. 1, 195-222.
• G. Jeronimo, D. Perrucci, J. Sabia, A parametric representation of totally mixed Nash equilibria. Comput. Math. Appl. 58 (2009), no. 6, 1126-1141.
• D. Perrucci, J. Sabia, Real roots of univariate polynomials and straight line programs. J. Discrete Algorithms 5 (2007), no. 3, 471-478.
• D. Perrucci, Some bounds for the number of components of real zero sets of sparse polynomials. Discrete Comput. Geom. 34 (2005), no. 3, 475-495.