# 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
- B. Benedetti and M. Pavelka, “Five non-Hamiltonian simplicial complexes”, submitted.
- B. Benedetti and M. Pavelka, “2-LC triangulated manifolds are exponentially many”, Annales de l’Institut Henri Poincare D, in press.
- 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