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Lladser, Manuel E.

Associate Professor

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Research Areas research areas

Research

research overview

  • Dr. Lladser's research expertise spans applied mathematics and probability, with an emphasis on discrete probability and discrete mathematics. The overarching vision of his research and teaching is a synergism of mathematics and science. He is particularly drawn to problems arising in computational and molecular biology, mathematical data science, and computer science.

keywords

  • algorithmic probability, bioinformatics, computational biology, computational probability, discrete mathematics, discrete probability, mathematical biology, mathematical machine learning

Publications

selected publications

Teaching

courses taught

  • APPM 3170 - Discrete Applied Mathematics
    Primary Instructor - Spring 2019 / Spring 2023
    Introduces students to ideas and techniques from discrete mathematics that are widely used in science and engineering. Mathematical definitions and proofs are emphasized. Topics include formal logic notation, proof methods; set theory, relations; induction, well-ordering; algorithms, growth of functions and complexity; integer congruences; basic and advanced counting techniques, recurrences and elementary graph theory. Other selected topics may also be covered.
  • APPM 3570 - Applied Probability
    Primary Instructor - Fall 2019 / Fall 2020 / Fall 2021 / Spring 2023
    Studies axioms, counting formulas, conditional probability, independence, random variables, continuous and discrete distribution, expectation, joint distributions, moment generating functions, law of large numbers and the central limit theorem. Degree credit not granted for this course and ECEN 3810 or MATH 4510. Same as STAT 3100.
  • APPM 4560 - Markov Processes, Queues, and Monte Carlo Simulations
    Primary Instructor - Fall 2018 / Fall 2023 / Fall 2024
    Brief review of conditional probability and expectation followed by a study of Markov chains, both discrete and continuous time, including Poisson point processes. Queuing theory, terminology and single queue systems are studied with some introduction to networks of queues. Uses Monte Carlo simulation of random variables throughout the semester to gain insight into the processes under study. Same as APPM 5560 and STAT 4100.
  • APPM 4565 - Random Graphs
    Primary Instructor - Spring 2021 / Fall 2022
    Introduces mathematical techniques, including generating functions, the first- and second-moment method and Chernoff bounds to study the most fundamental properties of the Erdos-Renyl model and other celebrated random graph models such as preferential attachment, fixed degree distribution, and stochastic block models. Same as APPM 5565.
  • APPM 4720 - Open Topics in Applied Mathematics
    Primary Instructor - Spring 2018 / Spring 2019 / Fall 2024
    Provides a vehicle for the development and presentation of new topics that may be incorporated into the core courses in applied mathematics. Department enforced prerequisite: variable, depending on the topic, see instructor. May be repeated up to 15 total credit hours. Same as APPM 5720.
  • ... more

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