Research

Research in Algebraic Geometry and Number Theory

Journal papers:

5. Some arithmetic properties of Weil polynomials of the form $t^{2g}+at^g+q^g$, in Communications in Mathematics, v. 34, nro. 2, 2025. arXiv version.

4. Weil polynomials of abelian varieties over finite fields with many rational points (with E. Berardini), in International Journal of Number Theory, v. 18, nro. 07, pp. 1591-1603, 2022. arXiv version.

3. Cyclic abelian varieties over finite fields in ordinary isogeny classes, in Mathematical Communications, v. 26, nro. 2, p. 151-158, 2021. arXiv version.

2. Local cyclicity of isogeny classes of abelian varieties defined over finite fields, in Finite Fields and their Applications, v. 62, 101628, 2020. arXiv version.

1. On the cyclicity of the rational points group of abelian varieties over finite fields, in Finite Fields and their Applications, v. 57, p. 139-155, 2019. arXiv version.

Preprints and submitted papers:

1. Existence of simple non-cyclic abelian varieties over arbitrary finite fields and of a given dimension $g>1$. arXiv version.

2. Abelian surfaces over finite fields containing no curves of genus 3 or less (with E. Berardini & S. Marseglia). arXiv version. 

In preparation:

1. Cyclicity of abelian varieties after reduction modulo p.

2. Group structure of abelian varieties over finite fields.

3. Cyclic isogeny classes of elliptic curves and abelian surfaces over finite fields.

Talks:

1. On the cyclicity of the rational points group of abelian varieties over finite fields:

   • Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T), June 2019.

   • The 14th Intl. Conference on Finite Fields and their Applications (Fq14), June 2019.

   • Seminar at Institut de Mathématiques de Toulon, November 2018.

   • Seminar at Institut de Mathématiques de Marseille, October 2018.

2. Cyclicity of abelian varieties after reduction modulo p:

   • Seminar at Institut de Mathématiques de Toulon, February 2020.

   • Seminar at Institut de Mathématiques de Marseille, October 2019.

Research in engineering and applied mathematics

Journal papers:

1. Contour-Point Signature Shape Descriptor for Point Correspondence, in International Journal of Image and Graphics, v. 18 f: 2, p. 1-24, 2018. (with C.E. Schaerer Serra; H. Legal-Ayala;W. Villamayor-Venialbo).

Conference papers:

1. Data-Driven Segmentation and Simulation-Based Approach for Capacity Assessment in Radiotherapy for a Resource-Limited Setting in Paraguay, IEEE, 2025 (with E. Redondo, D. Stalder, M. Gonzalez)

2. Contour Point Signature in Registration Tomography and Magnetic Resonance Images, CNMAC, 2025. (with O. Pedrozo; C. Schaerer, P. Cespedes)

3. Dual Three-Phase System Based on Four Neutral-Point-Clamped Inverters with Synchronized Space-Vector Modulation, in 15th European Conference on Power Electronics and Applications, EPE’13-ECCE Europe, Lille, France, September 3-5, 2013 (with Oleschuk, V., Gregor, R.,Rodas, J.)

Poster presentation:

1. Alejandro J. Giangreco Maidana; Oscar Pedrozo Gonzalez; Christian Emilio Schaerer Serra; cespedes-sanchez; Eficiencia en el uso del CPS en el registro de imágenes médicas. In: V Encuentro de Matemáticas y Estadística Aplicadas a las Ciencias Sociales y Económicas 2025.

2. Enrique Ruiz; Alejandro J. Giangreco Maidana; Christian Emilio Schaerer Serra; Análisis comparativo de métodos de optimización clásicos y técnicas de inteligencia artificial para la determinación de parámetros del modelo de Lotka-Volterra. In: IX Encuentro de investigadores Asunción 2024.

3. Oscar Pedrozo Gonzalez; Alejandro J. Giangreco Maidana; Christian Emilio Schaerer Serra; cespedes-sanchez; Uso del Descriptor Firma Punto-Contorno en el Registro de Imágenes de tomografía y resonancia magnética. In: Tecnologías innovadoras e inteligentes para el agua del futuro y la vida sustentable Asunción 2024 San Lorenzo 2024.

4. Matching Shapes using the Maximum Chord Signature in IV CONGRESO LATINOAMERICANO DE MATEMATICOS - CLAM, Universidad Nacional de Cordoba, Cordoba, Argentina, August 6 -10, 2012.  (with C.E. Schaerer Serra; W. Villamayor-Venialbo).