As an experienced instructor with more than 20 years of teaching math between Venezuela and the United States, Dr. Guardia earned his BS, MS, and Ph.D. at the Central University of Venezuela, where he reached the leading position of Chair of the Department of Mathematics and acting Director of the School of Mathematics.
Dr. Guardia came to the United States as a lecturer at Gonzaga University in Spokane, WA, where he currently stands. He has taught many core courses, including Calculus and History of Mathematics. In Venezuela, he taught many undergraduate courses as well as graduate classes. Dr. Guardia is also a part-time online instructor at OHS of Stanford University.
Along with educating, Dr. Guardia is also passionate about researching mathematical projects. With selected students, he leads the top worldwide research of mathematics through a medieval math board game of Rithmomachia, a math-chess game with numbered pieces on a math battlefield. He was the founder and president of the Club Venezolano de Rithmomachia in Venezuela. He also researches to find statistical evidence about the claims of patterns of the Golden ratio, Silver ratio, Bronze ratio, and other metallic ratios in nature, art, design, and several other places. He wants to continue discovering the beauty of mathematics behind the math board game and the metallic ratios with the students of Gonzaga and Stanford.
Dr. Guardia likes reading, cooking, hiking, and traveling to new places in his free time. He loves to engage in lengthy and meaningful conversations with his family, students, colleagues, and friends.
Fiboquadratic numbers and Rithmomachia, Tomás Guardia, Douglas Jiménez, and Alex McCurdy, To appear in the Recreational Mathematics Magazine.
The Cultural Impact of Hindu-Arabic numbers, Tomás Guardia, Espacio Matemático, Vol. 2, No. 1, 2021, pp.1-5.
Rithmomachia: An Academic Proposal of Rules, Rié Durnil* and Tomás Guardia, Espacio Matemático, Vol. 2. No. 2, 2021, pp. 130-143.
On the Functoriality of Stratified Desingularizations, Tomás Guardia and Gabriel Padilla, Extracta Mathematicae, Vol. 23, No. 2, 2008, pp. 139-153.
Counting Pythagorean Means on the board of Rithmomachia, Rié Durnil, Tomás Guardia, Sarah Morrison (in progress).
Evidence of Modern Number Theory inside Rithmomachia, Tomás Guardia (in progress).
Jacobshtalquadratic numbers, Tomás Guarda, and Alex McCurdy* (in progress).
Pellquadratic numbers, Tomás Guardia, and Alex McCurdy* (in progress).
Categorical Properties of Smooth Unfoldings, Tomás Guardia and Gabriel Padilla, 2011, https://arxiv.org/pdf/2107.04728.pdf , pp 1-8.
Conditions for the Existence of Intersection Cohomology, Ph.D. dissertation, Tomás Guardia, Central University of Venezuela, 2009.
Geometry: Applications, ISBN 978-11-1608-0, Tomás Guardia, Universidad de Los Andes, 2013.
