Complex Trees · Video & presentation archive
Recordings and presentation materials on complex trees, self-similar sets and connectedness loci, alongside mathematical art and teaching. Browse conference talks, videos from my channel and recovered Keynote presentations.
24 entries · newest first
One World Numeration Seminar · Online
Restricted polynomial roots, reciprocal power series and finite capture in the connectedness loci of collinear affine iterated function systems. Based on joint work with David Juher, building on earlier work with David Juher and Joan Saldaña.
Bojos per la Ciència i les Matemàtiques · Universitat de Barcelona
Teaching presentation on complex trees and self-similar sets, in Catalan.
Integrating Research and Illustration in Number Theory · Institut Henri Poincaré, Amphithéâtre Hermite
Finite capture and restricted-polynomial roots in the geometry of collinear fractals.
Recording published 19 May 2026.
Illustrating Mathematics: Reunion/Expansion · ICERM, Brown University · Online
Collinear fractals, polynomial roots, and the geometry of their connectedness loci.
Recording published 30 September 2025. Programme title: “Parameter Space Level Sets of n-ary Collinear Fractals: From Polynomial Roots to Mandelbrot-like Loci Mn”.
Presentation materials
Integer polynomial roots and the connectedness of collinear fractals; joint work with Joan Saldaña and David Juher.
The PDF creation metadata is dated 19 March 2025. The event date and venue are not documented in the slides.
Mathematical animation · Bernat Espigulé’s YouTube channel
A short animation linking collinear fractals and their parameter space.
Animation; date refers to the video’s publication.
International Online GSDUAB Seminar · Universitat Autònoma de Barcelona
Connectedness loci, self-affine tiles and zeros of power series with integer coefficients; joint work with David Juher and Joan Saldaña.
Programme title: “Mandelbrot set ℳn associated to self-affine tiles and zeros of power series with integer coefficients.” The recording and slides preserve the June 2024 presentation; see the published paper for the subsequent results and their precise hypotheses.
7th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals · Cornell University, Malott Hall 251
An introductory course on families of connected self-similar sets.
Recording published 22 June 2022.
Wolfram Technology Conference 2021
Learning journeys for the History of Mathematics Project, created with the Wolfram Language, Knowledgebase and Cloud.
Conference year shown; the recording was uploaded on 31 October 2021.
Workshop on Topological and Combinatorial Dynamics · Centre de Recerca Matemàtica · Online
Complex trees and connected self-similar sets.
The programme lists “Complex Trees: Topological Combinatorics of Connected Self-similar Sets”. Recording published 7 July 2022.
Arbres complexos i conjunts autosimilars · Museu de Matemàtiques de Catalunya (MMACA) · Online
Una conferència divulgativa sobre arbres fractals, amb imatges de la seva generació i transformació.
2019 CMS Winter Meeting · Toronto, Ontario
Complex trees and structural stability in families of connected self-similar sets.
Talk recorded by József Vass. Author’s upload published 31 December 2019; recorder’s upload published 20 December 2019.
Illustrating Mathematics, ICERM
Complex trees and connected self-similar sets, presented during the Illustrating Mathematics programme.
Static recovery of the original Keynote export. Animations, embedded video and incremental builds are not reproduced. “Complex Trees” is the catalogue title; the cover identifies the speaker, event and date.
Illustrating Mathematics Special Interest Seminar · ICERM, Brown University
An introduction to complex trees and their parameter spaces.
Recording published 12 November 2019. Seminar title: “Complex Trees: Structural Stability of Connected Self-similar Sets”. Static recovery of the original Keynote export. Animations, embedded video and incremental builds are not reproduced.
Illustrating Mathematics, ICERM
Unfolding complex trees with n-fold rotational symmetry.
Static recovery of the original Keynote export. Animations, embedded video and incremental builds are not reproduced.
Mathematical animation · Bernat Espigulé’s YouTube channel
An animated tour through a one-parameter family of connected self-similar sets.
Animation; date refers to the video’s publication.
Bridges 2019, Linz
A family of fern-like shapes generated by ternary complex trees.
Static recovery of the original Keynote export. Animations, embedded video and incremental builds are not reproduced. The event month is documented; no day is assigned.
Topics in Complex Dynamics 2019, IMUB, Universitat de Barcelona
Complex trees and families of connected self-similar sets.
Static recovery of the original Keynote export. Animations, embedded video and incremental builds are not reproduced. Programme title: “Complex trees and their families of connected self-similar sets”.
Holomorphic Dynamics Group · Universitat de Barcelona
Presentation of complex trees and families of self-similar sets.
The title slide dates the presentation to 16 July 2018; the original September-labelled URL is preserved.
Wolfram Technology Conference 2016, Champaign
Developing interactive Wolfram microsites. Includes the original presentation notebook.
Recording uploaded 17 November 2016.
Wolfram Technology Conference 2015, Champaign
A practical session on Wolfram Data Drop, IFTTT and connected devices, presented with Bob Sandheinrich.
Recording published 9 December 2015.
European Wolfram Technology Conference 2015
Using Wolfram tools to explore and 3D print fractal forms.
Conference year shown. Vimeo upload: 13 July 2015; YouTube upload: 30 December 2015.
European Wolfram Technology Conference 2014
Wolfram Language experiments connecting Raspberry Pi with the physical world.
Conference year shown; the recording was uploaded on 25 June 2014.
Research presentation video · Bernat Espigulé’s YouTube channel
A research presentation video about self-contacting symmetric fractal trees.
Video publication date shown. The author’s description connects this work with the 2014 Joint Mathematics Meetings art exhibition.
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Dates refer to the event when it is documented. Video publication dates are identified separately. Historical presentations retain their original notation and research context. Original Keynote players and recovered static slide readers are identified in each entry. Static readers do not reproduce animations, embedded videos or incremental builds.
For current papers and mathematical statements, see the research bibliography and explorer documentation. The public index records the source links and provenance used for this catalogue.