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Maurizio Monge ^[1]

Maurizio Monge,
an Italian mathematician and computer scientist, Ph.D. in 2012 from Scuola Normale Superiore di Pisa under supervision of Roberto Dvornicich ^[2]. His research interests include extensions of local fields, Galois modules, structure of recurrence sequences, arithmetic of function field, and more recently dynamical systems and noise-induced order.

Computer Chess

Interested in computer chess and programming, Maurizio Monge developed his chess engines RattateChess and RattatAjedrez ^[3]. He has further created various chess piece sets using Inkscape, available as SVG source, processed PNG files and XBoard theme ^[4].

Perfect Hashing

Motivated by the application of magic bitboards, Maurizio worked on its generalization of perfect hashing of numbers with sparse digit representation via multiplication by a constant, elaborating on Convolution, Toeplitz matrix, and Schur polynomial, published in 2010 on arXiv ^[5], amd in 2011 in Discrete Applied Mathematics, Vol. 159, No. 11.

Maurizio Monge (2009). Generation of the Symmetric Field by Newton Polynomials in prime Characteristic. arXiv:0903.3192
Nevio Dubbini, Maurizio Monge (2009). An equivalent of Kronecker's Theorem for powers of an Algebraic Number and Structure of Linear Recurrences of fixed length. arXiv:0910.5182
Nevio Dubbini, Maurizio Monge, Antonio Bicchi (2009). Left invertibility of I/O quantized linear systems in dimension 1: a number theoretic approach. arXiv:0911.0768

Maurizio Monge (2010). Determination of the number of isomorphism classes of extensions of a p-adic field. Journal of Number Theory, Vol. 131, No. 8 ^[8] ^[9]
Giovanni Viglietta, Maurizio Monge (2010). The 3-dimensional searchlight scheduling problem. CCCG 2010, pdf
Maurizio Monge (2010). On perfect hashing of numbers with sparse digit representation via multiplication by a constant. arXiv:1003.3196 » Magic Bitboards
Maurizio Monge (2010). Determination of the number of isomorphism classes of extensions of a p-adic field. arXiv:1011.0357
Maurizio Monge (2011). On perfect hashing of numbers with sparse digit representation via multiplication by a constant. Discrete Applied Mathematics, Vol. 159, No. 11
Alessandro Cobbe, Maurizio Monge (2011). Answer to a question on A-groups, arisen from the study of Steinitz classes. arXiv:1109.2065 ^[10]
Maurizio Monge (2011). A characterization of Eisenstein polynomials generating cyclic extensions of degree p2 and p3 over an unramified p-adic field. arXiv:1109.4616 ^[11]
Maurizio Monge (2011). A family of Eisenstein polynomials generating totally ramified extensions, identification of extensions and construction of class fields. arXiv:1109.4617
Maurizio Monge (2012). A constructive theory for extensions of p-adic fields. Ph.D. thesis, Scuola Normale Superiore di Pisa, advisor Roberto Dvornicich

Jose F. Alves, Maurizio Monge (2015). Non-denseness of hyperbolicity for linear isomorphisms in Banach spaces. arXiv:1510.05831 ^[12]
Ilaria Del Corso, Roberto Dvornicich, Maurizio Monge (2016). On wild extensions of a p-adic field. arXiv:1601.05939
Stefano Galatolo, Maurizio Monge, Isaia Nisoli (2017). Existence of Noise Induced Order, a Computer Aided Proof. arXiv:1702.07024 ^[13]