๐ Education
Dr. Sebastiรกn Pardo Guerra holds a Ph.D. in Mathematics from the National Autonomous University of Mexico (UNAM) ๐, where he also earned his M.S. and B.S. degrees in Mathematics. His academic journey reflects a deep commitment to foundational studies, with theses exploring Galois Theory, Abelian groups, and lattice preradicals ๐. His doctoral dissertation, On the Big Lattice of Lattice Preradicals, showcases early engagement with complex algebraic structures. Through prestigious CONACYT fellowships for both his masterโs and doctoral studies ๐
, he demonstrated academic excellence and promise. His education laid a rigorous foundation for blending theoretical elegance with applied insight, positioning him to make substantial contributions at the intersection of algebra, logic, and emerging scientific domains ๐.
๐ผ Professional Experience
Dr. Pardo Guerra is a researcher at the Center for Engineered Natural Intelligence, University of California San Diego (UCSD) ๐ง , with a trajectory that includes appointments as a lecturer and postdoctoral researcher at UCSD and UNAM. From 2012 to 2019, he served as a mathematics lecturer at UNAM ๐ฒ๐ฝ, followed by postdoctoral roles in bioengineering and applied mathematics at UCSD ๐. He currently contributes to cutting-edge projects integrating category theory with neuroscience and network theory. His dual focus on research and teaching spans over a decade of academic engagement, including recent instruction in Linear Algebra, Precalculus, and Vector Calculus ๐งฎ. This combination of pedagogical strength and high-level research underpins his influential presence in both academic and applied mathematics spheres ๐ง.
๐ Research Interests
Dr. Pardo Guerraโs research encompasses a compelling blend of pure and applied mathematics. In the pure domain, he focuses on module theory, lattice theory, and category theory ๐งฉโexploring structural properties and their implications in algebraic systems. In the applied space, he delves into neuroscience, information theory, and quantum information, applying advanced categorical frameworks to model complex, dynamic systems ๐. His innovative use of preradicals to redefine information entropy and analyze network topologies exemplifies his unique methodological approach ๐ง . By bridging abstract mathematics with emerging scientific challenges, his research offers novel insights into both foundational theory and interdisciplinary applications, contributing to the evolution of intelligent systems and computational structures โ๏ธ๐.
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Awards and Honors
Dr. Pardo Guerra has received notable honors throughout his academic career, including the prestigious CONACYT Fellowships for both his M.S. and Ph.D. programs in Mexico ๐ฒ๐ฝ. These competitive awards recognize academic excellence and research potential among top Mexican scholars. His recent papers have earned โFeature Paperโ and โEditorโs Choiceโ selections in international journals like Mathematics ๐ฐโa testament to the originality and relevance of his work. His consistent presence at respected conferences such as BLAST, Ohio StateโDenison Math Conference, and UCSD Colloquia further affirms his reputation within the global mathematics community ๐. These accolades highlight his innovative thinking and valuable contributions to contemporary mathematical discourse ๐.
๐ ๏ธ Research Skills
Dr. Pardo Guerra brings a powerful set of research skills combining deep theoretical insight with interdisciplinary modeling capabilities ๐ง . He is adept at constructing and analyzing abstract structures within lattice theory, module theory, and category theoryโfields requiring a high degree of mathematical precision ๐ฌ. His work applies these constructs to neural networks, graph theory, and information systems, utilizing tools like preradicals, entropy models, and Markov categories. He is also proficient in academic writing, publishing, and presenting in both Spanish and English, and skilled in engaging audiences through lectures, seminars, and collaborative forums ๐งพ๐ค. As a reviewer for Mathematical Reviews, he contributes to the peer-review process, underscoring his commitment to scholarly rigor and intellectual advancement โ๏ธ.
Publications Top Note ๐
Title: On the Graph Isomorphism Completeness of Directed and Multidirected Graphs
Authors: S. Pardo-Guerra, V.K. George, G.A. Silva
Year: 2025
Citations: 10
Source: Mathematics, Volume 13, Issue 2, Article 228
Title: Extending Undirected Graph Techniques to Directed Graphs via Category Theory
Authors: S. Pardo-Guerra, V.K. George, V. Morar, J. Roldan, G.A. Silva
Year: 2024
Citations: 7
Source: Mathematics, Volume 12, Issue 9, Article 1357
Title: Some Isomorphic Big Lattices and Some Properties of Lattice Preradicals
Authors: S. Pardo-Guerra, H.A. Rincรณn-Mejรญa, M.G. Zorrilla-Noriega
Year: 2020
Citations: 5
Source: Journal of Algebra and Its Applications, Volume 19, Issue 7, Article 2050140
Title: Big Lattices of Hereditary and Natural Classes of Linear Modular Lattices
Authors: S. Pardo-Guerra, H.A. Rincรณn-Mejรญa, M.G. Zorrilla-Noriega
Year: 2021
Citations: 2
Source: Algebra Universalis, Volume 82, Issue 4, Article 52
Title: On Preradicals, Persistence, and the Flow of Information
Authors: S. Pardo-Guerra, G.A. Silva
Year: 2024
Source: International Journal of General Systems, Volume 53, Issues 7โ8, Pages 1121โ1145
Title: On Torsion Theories and Open Classes of Linear Modular Lattices
Authors: F. Gonzรกlez-Bayona, S. Pardo-Guerra, H.A. Rincรณn-Mejรญa, et al.
Year: 2024
Source: Communications in Algebra, Volume 52, Issue 1, Pages 371โ391
Title: On the Lattice of Conatural Classes of Linear Modular Lattices
Authors: S. Pardo-Guerra, H.A. Rincรณn-Mejรญa, M.G. Zorrilla-Noriega, et al.
Year: 2023
Source: Algebra Universalis, Volume 84, Issue 4, Article 29
Title: A Categorical Framework for Quantifying Emergent Effects in Network Topology
Authors: G.A.S. Johnny Jingze Li, S. Pardo-Guerra, Kalyan Basu
Year: 2025
Source: Neural Computation (in press)
Title: On Semi-Projective Modular Lattices
Authors: F.G. Bayona, S.P. Guerra, M.G.Z. Noriega, H.A.R. Mejรญa
Source: International Electronic Journal of Algebra, Pages 1โ35