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Miguel A. Lerma

Adjunt Lecturer

PhD, University of Texas at Austin

Interest and Research Areas

  1. In Mathematics: Math Problem Solving Techniques - My interests focus on techniques for solving challenging elementary Math problems, such as proof by induction, inequalities, generating functions, counting, pigeonhole principle, telescoping, and various techniques from number theory, algebra, and calculus. A typical problem it this area would be the following:
  2. In Computer Science: Artificial Intelligence (AI), Neural Networks and Deep Learning. Currently doing active research on Explainable Artificial Intelligence (XAI).
  3. Other areas of interest: Analytic Number Theory, Computability, Logic, Foundations of Mathematics and Proof Theory.


I participate in the training of undergraduate students for the Annual William Lowell Putnam Mathematical Competition.