High-dimensional expanders (after Gromov, Kaufman, Kazhdan, Lubotzky, and others)
U. Wagner, Bulletin de La Societe Mathematique de France 438 (2022) 281–294.
LibreCat: https://research-explorer.ista.ac.at/record/14381
DOI: 10.24033/ast.1188

A quantitative Helly-type theorem: Containment in a homothet
G. Ivanov, M. Naszodi, SIAM Journal on Discrete Mathematics 36 (2022) 951–957.
LibreCat: https://research-explorer.ista.ac.at/record/11435
DOI: 10.1137/21M1403308
WoS: 000793158200002
arXiv: 2103.04122

Rectifiable curves in proximally smooth sets
G. Ivanov, M.S. Lopushanski, Set-Valued and Variational Analysis 30 (2022) 657–675.
LibreCat: https://research-explorer.ista.ac.at/record/10181
DOI: 10.1007/s11228-021-00612-1
WoS: 000705774800001
arXiv: 2012.10691

On compatible matchings
O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, in:, 15th International Conference on Algorithms and Computation, Springer Nature, 2021, pp. 221–233.
LibreCat: https://research-explorer.ista.ac.at/record/9296
DOI: 10.1007/978-3-030-68211-8_18
arXiv: 2101.03928

No-dimension Tverberg's theorem and its corollaries in Banach spaces of type p
G. Ivanov, Bulletin of the London Mathematical Society 53 (2021) 631–641.
LibreCat: https://research-explorer.ista.ac.at/record/9037
DOI: 10.1112/blms.12449
WoS: 000607265100001
arXiv: 1912.08561

On the volume of projections of the cross-polytope
G. Ivanov, Discrete Mathematics 344 (2021).
LibreCat: https://research-explorer.ista.ac.at/record/9098
DOI: 10.1016/j.disc.2021.112312
WoS: 000633365200001
arXiv: 1808.09165

Drawings of complete graphs in the projective plane
A.M. Arroyo Guevara, D. Mcquillan, R.B. Richter, G. Salazar, M. Sullivan, Journal of Graph Theory 97 (2021) 426–440.
LibreCat: https://research-explorer.ista.ac.at/record/9295
DOI: 10.1002/jgt.22665
WoS: 000631693200001
arXiv: 2002.02287

Extending drawings of complete graphs into arrangements of pseudocircles
A.M. Arroyo Guevara, R.B. Richter, M. Sunohara, SIAM Journal on Discrete Mathematics 35 (2021) 1050–1076.
LibreCat: https://research-explorer.ista.ac.at/record/9468
DOI: 10.1137/20M1313234
WoS: 000674142200022
arXiv: 2001.06053

Functional Löwner ellipsoids
G. Ivanov, I. Tsiutsiurupa, Journal of Geometric Analysis 31 (2021) 11493–11528.
LibreCat: https://research-explorer.ista.ac.at/record/9548
DOI: 10.1007/s12220-021-00691-4
WoS: 000656507500001
arXiv: 2008.09543

Eliminating higher-multiplicity intersections. III. Codimension 2
S. Avvakumov, I. Mabillard, A.B. Skopenkov, U. Wagner, Israel Journal of Mathematics 245 (2021) 501–534.
LibreCat: https://research-explorer.ista.ac.at/record/10220
DOI: 10.1007/s11856-021-2216-z
WoS: 000712942100013
arXiv: 1511.03501

On the volume of sections of the cube
G. Ivanov, I. Tsiutsiurupa, Analysis and Geometry in Metric Spaces 9 (2021) 1–18.
LibreCat: https://research-explorer.ista.ac.at/record/10856
DOI: 10.1515/agms-2020-0103
WoS: 000734286800001
arXiv: 2004.02674

Tight frames and related geometric problems
G. Ivanov, Canadian Mathematical Bulletin 64 (2021) 942–963.
LibreCat: https://research-explorer.ista.ac.at/record/10860
DOI: 10.4153/s000843952000096x
WoS: 000730165300021
arXiv: 1804.10055

Embeddability of simplicial complexes is undecidable
M. Filakovský, U. Wagner, S.Y. Zhechev, in:, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2020, pp. 767–785.
LibreCat: https://research-explorer.ista.ac.at/record/7806
DOI: 10.1137/1.9781611975994.47

Homotopic curve shortening and the affine curve-shortening flow
S. Avvakumov, G. Nivasch, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7991
DOI: 10.4230/LIPIcs.SoCG.2020.12
arXiv: 1909.00263

Bounding radon number via Betti numbers
Z. Patakova, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7989
DOI: 10.4230/LIPIcs.SoCG.2020.61
arXiv: 1908.01677

Barycentric cuts through a convex body
Z. Patakova, M. Tancer, U. Wagner, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7992
DOI: 10.4230/LIPIcs.SoCG.2020.62
arXiv: 2003.13536

Extending drawings of graphs to arrangements of pseudolines
A.M. Arroyo Guevara, J. Bensmail, R. Bruce Richter, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7994
DOI: 10.4230/LIPIcs.SoCG.2020.9
arXiv: 1804.09317

Connectivity of triangulation flip graphs in the plane (Part II: Bistellar flips)
U. Wagner, E. Welzl, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7990
DOI: 10.4230/LIPIcs.SoCG.2020.67
arXiv: 2003.13557

Connectivity of triangulation flip graphs in the plane (Part I: Edge flips)
U. Wagner, E. Welzl, in:, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2020, pp. 2823–2841.
LibreCat: https://research-explorer.ista.ac.at/record/7807
DOI: 10.1137/1.9781611975994.172
arXiv: 2003.13557

Eliminating higher-multiplicity intersections, III. Codimension 2
S. Avvakumov, U. Wagner, I. Mabillard, A.B. Skopenkov, Russian Mathematical Surveys 75 (2020) 1156–1158.
LibreCat: https://research-explorer.ista.ac.at/record/9308
DOI: 10.1070/RM9943
WoS: 000625983100001
arXiv: 1511.03501