Teaching and Talks

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Teaching

• Mathematical Analysis of Algorithms, Winter Semester, 2020.

  Postgraduate Course, Alpen-Adria-Universität Klagenfurt. Introduction to the analysis of algorithms including sorting algorithms, generating functions and techniques involving generating functions, the Mellin transform, Mellin-Perron summation, and the saddle-point method.

• Methodology 1: Mathematics, Summer Semester, 2021.

  Undergraduate Course, Alpen-Adria-Universität Klagenfurt. Course for first-year business students. Teaches basic mathematical concepts required for business-related studies including number systems, combinatorics, induction, linear systems of equations and linear optimization, financial mathematics, and calculus.

• Methodology 1: Mathematics, Winter Semester, 2021.

  Undergraduate Course, Alpen-Adria-Universität Klagenfurt. Course for first-year business students. Teaches basic mathematical concepts required for business-related studies including number systems, combinatorics, induction, linear systems of equations and linear optimization, financial mathematics, and calculus.

• Linear Algebra 2: Exercises, Summer Semester, 2022.

  Undergraduate Course, Alpen-Adria-Universität Klagenfurt. Exercise classes for a Linear Algebra course covering topics such as: inner product and scalar product; orthogonality; projections; eigenvalue theory; eigenvalues and symmetric matrices; positive-definite matrices.

• Combinatorics, Winter Semester, 2022.

  Postgraduate Course, Alpen-Adria-Universität Klagenfurt. Course visiting topics in extremal combinatorics, algebraic combinatorics, and analytic combinatorics not covered in undergraduate courses.

• Linear Algebra for Engineers: Exercises, Summer Semester, 2023.

  Undergraduate Course, Alpen-Adria-Universität Klagenfurt. Course in basic linear algebra: Matrices, linear systems of equations, vector spaces, basis and dimension, linear mappings, determinants, eigenvalues, inner product spaces.

• Mathematical Analysis of Algorithms, Winter Semester, 2023.

  Postgraduate Course, Alpen-Adria-Universität Klagenfurt. Introduction to the analysis of algorithms including sorting algorithms, generating functions and techniques involving generating functions, the Mellin transform, Mellin-Perron summation, the saddle-point method, and singularity analysis.

• Stochastics for Engineers: Exercises, Winter Semester, 2023.

  Undergraduate Course, Alpen-Adria-Universität Klagenfurt. Finite probability spaces, countable probability spaces, conditional probability and independence, random variables, expectation, variance, covariance, correlation, moments, probability distributions with densities, parameter estimation, simulation of random variables, limit theorems, Monte Carlo simulation, Brownian motion and Poisson process, and path generation.

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Conference Talks and Posters

• From Kreweras to Gessel: A walk through patterns in the quarter plane

  Talk at Formal Power Series and Algebraic Combinatorics. Davis, United States of America. July 2023.

• The distribution of the maximum protection number in random trees

  Talk at Joint Mathematics Meeting. Boston, United States of America. January 2023.

• The distribution of the maximum protection number in random trees

  Invited talk at BIRS: Analytic and Enumerative Combinatorics Workshop. Banff, Canada. November 2022.

• The distribution of the maximum protection number in random trees

  Talk at Algorithmic and Enumerative Combinatorics Conference. Vienna, Austria. July 2022.

• Enumeration of generalized Dyck paths based on the height of down-steps modulo $k$

  Talk at Student Symposium in Combinatorics. Online Conference, Australia. June 2022.

• Down-step Statistics in Generalized Dyck Paths

  Talk at South African Mathematics Society Congress. Online Conference, South Africa. December 2021.

• Down-step Statistics in Generalized Dyck Paths

  Poster at Lattice Paths, Combinatorics and Interactions. Hybrid Conference, France. June 2021.

• A generalisation of $k$-Dyck paths

  Talk at African Women in Mathematics Conference. Stellenbosch University, South Africa. July 2019.

• Ternary trees and equinumerous combinatorial objects

  Talk at South African Mathematics Society Congress. Rhodes University, South Africa. March 2018.