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Lladser, Manuel E.

Associate Professor

Positions

Research Areas research areas

Research

research overview

  • Dr. Lladser's is a probabilist and computational biologist. The overarching vision of his research and teaching is a synergism of mathematics and science. Currently, his research is mostly focussed in developing methods for dimensionality reduction of symbolic datasets, as well as assessing contamination in discrete datasets.

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
    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
    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.
  • APPM 5560 - Markov Processes, Queues, and Monte Carlo Simulations
    Primary Instructor - Fall 2018 / Fall 2023
    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 4560, STAT 4100 and STAT 5100.
  • APPM 5565 - 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 4565.
  • APPM 5720 - Open Topics in Applied Mathematics
    Primary Instructor - Spring 2018 / Spring 2019
    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 6 total credit hours. Same as APPM 4720.
  • APPM 6950 - Master's Thesis
    Primary Instructor - Fall 2022 / Fall 2023 / Spring 2024
    May be repeated up to 6 total credit hours.
  • APPM 8000 - Colloquium in Applied Mathematics
    Primary Instructor - Fall 2022
    Introduces graduate students to the major research foci of the Department of Applied Mathematics.
  • CSCI 4950 - Senior Thesis
    Primary Instructor - Fall 2018 / Spring 2019
    Provides an opportunity for senior computer science majors to conduct exploratory research in computer science. Department enforced restriction, successful completion of a minimum of 36 credit hours of Computer Science coursework and approved WRTG. May be repeated up to 8 total credit hours.
  • MATH 4520 - Introduction to Mathematical Statistics
    Primary Instructor - Fall 2023
    Examines point and confidence interval estimation. Principles of maximum likelihood, sufficiency, and completeness: tests of simple and composite hypotheses, linear models, and multiple regression analysis if time permits. Analyzes various distribution-free methods. Same as MATH 5520 and STAT 4520 and STAT 5520.
  • MATH 4540 - Introduction to Time Series
    Primary Instructor - Spring 2020 / Spring 2024
    Studies basic properties, trend-based models, seasonal models, modeling and forecasting with ARIMA models, spectral analysis and frequency filtration. Same as MATH 5540 and STAT 4540 and STAT 5540.
  • MATH 5520 - Introduction to Mathematical Statistics
    Primary Instructor - Fall 2023
    Examines point and confidence interval estimation. Principles of maximum likelihood, sufficiency, and completeness: tests of simple and composite hypotheses, linear models, and multiple regression analysis if time permits. Analyzes various distribution-free methods. Department enforced prerequisite: one semester calculus-based probability course, such as MATH 4510 or APPM 3570. Same as STAT 4520 and MATH 4520 and STAT 5520.
  • MATH 5540 - Introduction to Time Series
    Primary Instructor - Spring 2020
    Studies basic properties, trend-based models, seasonal models, modeling and forecasting with ARIMA models, spectral analysis and frequency filtration. Department enforced prerequisite: MATH 4520 or MATH 5520 or APPM 4520 or APPM 5520. Same as MATH 4540 and STAT 4540 and STAT 5540.
  • STAT 3100 - 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 APPM 3570.
  • STAT 4100 - Markov Processes, Queues, and Monte Carlo Simulations
    Primary Instructor - Fall 2023
    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 4560 and APPM 5560.
  • STAT 4520 - Introduction to Mathematical Statistics
    Primary Instructor - Fall 2023
    Examines point and confidence interval estimation. Principles of maximum likelihood, sufficiency, and completeness: tests of simple and composite hypotheses, linear models, and multiple regression analysis if time permits. Analyzes various distribution-free methods. Same as STAT 5520 and MATH 4520 and MATH 5520.
  • STAT 4540 - Introduction to Time Series
    Primary Instructor - Spring 2020 / Spring 2024
    Studies basic properties, trend-based models, seasonal models modeling and forecasting with ARIMA models, spectral analysis and frequency filtration. Same as STAT 5540 and MATH 4540 and MATH 5540.
  • STAT 5100 - Markov Processes, Queues, and Monte Carlo Simulations
    Primary Instructor - Fall 2023
    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 APPM 4560.
  • STAT 5520 - Introduction to Mathematical Statistics
    Primary Instructor - Fall 2023
    Examines point and confidence interval estimation. Principles of maximum likelihood, sufficiency, and completeness: tests of simple and composite hypotheses, linear models, and multiple regression analysis if time permits. Analyzes various distribution-free methods. Department enforced prerequisite: one semester calculus-based probability course, such as MATH 4510 or APPM 3570. Same as STAT 4520 and MATH 4520 and MATH 5520.
  • STAT 5540 - Introduction to Time Series
    Primary Instructor - Spring 2020 / Spring 2024
    Studies basic properties, trend-based models, seasonal models modeling and forecasting with ARIMA models, spectral analysis and frequency filtration. Department enforced prerequisite: APPM 5520 or MATH 5520. Same as STAT 4540 and MATH 4540 and MATH 5540.

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