Marta Pavelka
Marta is a Postdoctoral Research Associate in the Department of Mathematical Sciences at the Carnegie Mellon University, working with Florian Frick as her mentor. She obtained her Ph.D. at the University of Miami a year ago, having worked with Bruno Benedetti. Her research is focused on the interaction of Combinatorics with Geometry; especially triangulations of manifolds and, more generally, simplicial complexes.
Research
- A. Newman and M. Pavelka, “A conditional lower bound for the Turán number of spheres”, submitted.
- B. Benedetti and M. Pavelka, “Higher-dimensional counterexamples to Hamiltonicity”, submitted.
- B. Benedetti and M. Pavelka, “2-LC triangulated manifolds are exponentially many”, Annales de l’Institut Henri Poincare D, 2024.
- M. Pavelka, “On t-LC manifolds and on Hamiltonian complexes (PDF file)”, PhD Thesis, 2023
- C. Frougny, M. Pavelka, E. Pelantová, and M. Svobodová, “On-line algorithms for multiplication and division in real and complex numeration systems (PDF file)”, Discrete Mathematics and Theoretical Computer Science, Vol. 21 no. 3, 2019.
Software
Try software by Marta Pavelka that detects simplicial complex closure properties! Test your favorite simplicial complex for closed, unit-interval, under-closed, semi-closed, weakly-closed, chordal, traceable, Hamiltonian, weakly-traceable, and weakly-Hamiltonian properties.
Talks
- Geometric and Topological Combinatorics, Joint Mathematics Meetings in Seattle, January 2025
- CoSP Workshop Unfinished (PDF file), Charles University, November 2023
- Discrete CATS seminar, University of Kentucky, April 2023
- Topological and Geometric Methods in Combinatorics at the 2023 AMS Meeting, University of Cincinnati, April 2023
- Algorithms, Combinatorics, and Optimization (ACO) Seminar, Carnegie Mellon University, April 2023
- Noon Lecture at the Department of Applied Mathematics, Charles University, February 2023
- Seminario Matesco (PDF file), University of Cantabria, Spain, January 2023
- Mathematics Department Colloquium, University of Hawaii, January 2023
- Combinatorics and Geometry Seminar, University of Washington, November 2022
- UMN Combinatorics Seminar, University of Minnesota, October 2022
- Algebra & Discrete Mathematics, UC Davis, September 2022
- Cornell Discrete Geometry and Combinatorics Seminar, Cornell University, September 2022
- Geometry meets Combinatorics in Bielefeld, Bielefeld University, September 2022
- Midsummer Combinatorial Workshop XXVII, Charles University, August 2022
- Discrete Mathematics Days 2022, University of Cantabria, July 2022
- Norcom 2022, The Arctic University of Norway, June 2022
- Graduate Student Combinatorics Conference 2022, University of California San Diego, March 2022
- Combinatorics Seminar, Royal Institute of Technology (KTH), December 2021
- Numeration 2015, Université de Lorraine, May 2015
Teaching Activities
Marta received a Teaching Excellence Award from the University of Miami Department of Mathematics in May 2022. She teaches math the way she teaches yoga – leading her students to overcome challenges by developing a consistent practice.
- Courses taught at the Carnegie Mellon University
- Integration and Approximation, 21122 (class of 75 students) Fall 2023, Spring 2024
- Courses taught at the University of Miami
- Precalculus II, MTH 108 (classes of about 40 students) Fall 2022, Spring 2022, Fall 2021, Spring 2021
- Calculus II, MTH 162 (class of 14 students) Spring 2020
- Calculus I, MTH 161 (class of 36 students) Fall 2019
- Recitations led at the University of Miami
- Calculus II, MTH 162 (classes of about 40 students) Spring 2020, Spring 2019, Spring 2018
- Calculus I, MTH 161 (classes of about 40 students) Fall 2019, Fall 2018, Fall 2017
- Precalculus Mathematics II, MTH 108 (two classes of about 40 students) Fall 2020
Contact Information
- i Research Area
- Geometric Combinatorics
- i Email
- martap at andrew dot cmu dot edu
- i LinkedIn
- linkedin.com/in/martapavelka
- i Meetup
- Schedule a meetup