Graduate Course on Combinatorial and Geometric Rigidity
Description
Please note that the lectures will pause over the long easter weekend (April 2nd to April 5th).
This course will cover the breadth of combinatorial and geometric rigidity. Concretely we view a framework (G, p) as a realisation of a graph G = (V, E) via a map p assigning positions of Euclidean d-space to the vertices and with respect to which the edges satisfy certain geometric constraints. We will focus on the classical example where the constraints determine edge lengths. We will analyse the rigidity and flexibility properties of such frameworks using tools from graph theory and discrete geometry.
The course will cross-coordinate with events that will run in parallel during this Fields Institute Thematic Program on Geometric Constraint Systems, Framework Rigidity, and Distance Geometry.
Logistics: This is a semester long graduate course. The course is free and open to all graduate students worldwide. The course should be accessible to any graduate student in mathematics and the only background assumed will be in basic linear algebra, Euclidean geometry and graph theory. Course credit is available through participating institutions.
Instructor: Tony Nixon
Schedule: M/W/F 10-11am over zoom
Talks will be posted on Fields' YouTube Channel.
Registered Participants
| Name | Affiliation |
|---|---|
| Mahmoud Abouamer | University of Waterloo |
| Josean Albelo-Cortes | University of Texas at Dallas |
| Abdo Alfakih | University of Windsor |
| Amine Bahayou | Kasdi Merbah University |
| Kimia Banihashem | University of Tabriz |
| Sumukh Bansal | Interdigital R&I |
| Evangelos Bartzos | National and Kapodistrian University of Athens |
| Daniel Bernstein | The Fields Institute |
| Basak Cakmak | |
| Victor Castillo | Pontificia Universidad Católica de Chile |
| Rajarshi Chatterjee | Kazi Nazrul University |
| Zhongzhu Chen | University of Michigan, Ann Arbor |
| Eric Chirtel | University of Waterloo |
| Oliver Clarke | University of Bristol |
| Katie Clinch | The University of Tokyo |
| Robert Connelly | Cornell University |
| James Cruickshank | National University of Ireland, Galway |
| David Cui | University of Toronto |
| Gerald de Jong | |
| Artorix de la Cruz | Dalhousie University |
| Sean Dewar | Johann Radon Institute for Computational and Applied Mathematics (RICAM) |
| Karimatou Djenabou | University of Padova |
| Eliana Duarte | Otto-von-Guericke-Universität Magdeburg |
| Mohammed El Khlili | York University |
| Ioannis Emiris | Athena Research Center |
| Nima Eslami | |
| Matteo Gallet | International School for Advances Studies (SISSA) |
| Dániel Garamvölgyi | ELTE |
| Tomack Gilmore | University College London |
| Andrey Glubokov | Ave Maria University |
| Georg Grasegger | The Fields Institute and Johann Radon Institute for Computational and Applied Mathematics (RICAM) |
| Kalpok Guha | Presidency University |
| Hakan Güler | Kastamonu University |
| Xiaofeng Gu | University of West Georgia |
| Itamar Halevy | |
| Alexander Heaton | The Fields Institute |
| John Hewetson | Lancaster University |
| Matthias Himmelmann | University of Potsdam |
| Hao Hu | University of Waterloo |
| Haesol Im | University of Waterloo |
| Eleftherios Kastis | The Fields Institute |
| Alexandros Keros | University of Edinburgh |
| Alexander Kolpakov | Université de Neuchâtel |
| Jan Legerský | Czech Technical University in Prague |
| Patrick Lin | University of Illinois at Urbana-Champaign |
| Xinxin Li | Jilin University |
| Signe Lundqvist | Umeå University |
| Oleg Makarenkov | University of Texas at Dallas |
| András Mihálykó | Eotvos Lorand University |
| Toby Mitchell | SOM |
| Fatemeh Mohammadi | Ghent University |
| Constant Mori | University of Toronto |
| Harshit J Motwani | Ghent University |
| arcelino nascimento | |
| Eran Nevo | The Hebrew University of Jerusalem |
| Tony Nixon | Lancaster University |
| Ryoshun Oba | The University of Tokyo |
| Johnson Oyero | Università degli studi dell'Aquila |
| Boyuan Pang | University of Victoria |
| mircea petrache | PUC-Chile |
| Oswaldo Portobanco | Polytechnic university of Nicaragua |
| Rahul Prabhu | University of Florida |
| Amoolya Prasad | University of Manchester |
| Roman Prosanov | TU Wien |
| Jiayue Qi | University of Linz |
| Rachel Quinlan | National University of Ireland, Galway |
| Arvin Rasoulzadeh | Institute for discrete mathematics and geometry |
| Andrew Sainsbury | Lancaster University |
| Jose Alejandro Samper | Pontificia Universidad Católica de Chile |
| Brigitte Servatius | Worcester Polytechnic Institute |
| Herman Servatius | Worcester Polytechnic Institute |
| Rahul Sethi | Indian Institute of Technology, Kanpur |
| Qays R. Shakir | Middle Technical University |
| Kiumars Sharifmoghaddam | TU Wien |
| Kosar Shirinzadeh Dastgiri | University of Waterloo |
| William Sims | University of Florida |
| Meera Sitharam | University of Florida |
| Adnan Sljoka | RIKEN |
| Alexander Slodkowski | |
| Miruna-Stefana Sorea | SISSA |
| Jack Southgate | University of St Andrews |
| Olivia Stoicescu | EBay |
| Klara Stokes | Umeå University |
| Ileana Streinu | Smith College |
| Shin-ichi Tanigawa | The University of Tokyo |
| Simion Tarabykin | The Hebrew University of Jerusalem |
| Jonas Tervooren | Technische Universität Wien |
| Will Traves | U.S. Naval Academy |
| Sonia Vanier | Université Paris1 and Laboratoire d'Informatique de l'Ecole Polytechnique |
| Brinda Venkataramani | McMaster University |
| Amit Verma | University of Florida |
| Nelly Villamizar | Swansea University |
| Sarah Vollmer | York University |
| Joseph Wall | Lancaster University |
| Fei Wang | The Fields Institute |
| Henry Wolkowicz | University of Waterloo |
| Yu Xia | |
| Rupei Xu | University of Texas at Dallas |
| Xu Xu | Wuhan University |
| REBECCA ASABE YISA-IYAPO | Natinal Mathematical Centre Abuja |
| Lei Yu | Tongji University |
| Zhen (Albert) Zhang | Cornell University |
| Alena Zhukova | Saint Petersburg State University |
