Home page of Ester Dalvit   

Welded knotted objects The Braid Movie

I am a post-doc in mathematics education at the Laboratory for didactics and communication of mathematics.

Department of Mathematics
University of Trento - Italy

via Sommarive 14
I-38123 Trento

Phone: +39 0461 28 1599



Visualization, popularization of mathematics, low-dimensional topology, mathematics education.

Current activities

In Toronto from March 6 to April 18, working on invariants of knotted spheres. See a talk by Dror Bar-Natan.

Seminar "A foray into 4-dimensional knot theory", students' seminar, Dijon April 28.

VasKho meeting, Grenoble, June 30-July 4.

In Luminy, June 23-27, Geometric and Quantum Topology in Dimension 3.

Animations on knotted surfaces, welded braids and ribbon knots.

Math.en.jeans: local organizer for Trentino-Alto Adige 2013-2014.

Teacher training and loan of teaching material for the educational workshops (see the lab page, in italian).

Matematica in città: a project for the popularization of maths in Bolzano.

Publications (popularization and mathematics education)

Proposte di laboratorio sui fondamenti della matematica: l’infinito e i sistemi assiomatici, in preparation.

Matematica e visualizzazione: un’esperienza didattica, submitted.

Braids: A Mathematics Documentary, in George W. Hart and Reza Sarhangi, editors, Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture, pages 415-418, Phoenix, Arizona, 2013. online paper

Braids: a movie to popularise the mathematical theory of braids, Proceedings of the International Conference Aplimat, Bratislava (2013), to appear, pdf.

Il gruppo delle trecce, XlaTangente n. 35, pages 27-31, October 2012.

Il mondo matematico delle trecce, XlaTangente n. 34, pages 26-29, August 2012.

New proposals for the popularization of braid theory, Ph.D. thesis, pdf.

with D. Luminati, How to see a cube moving into its mirror image, The Mathematical Gazette vol. 96 no. 537, pages 471-479, November 2012.


Visualizations of welded knots and ribbon 2-knots. presentation. Winter Braids IV, Dijon, 11 February 2014.

Ciac, si gira: le trecce. Camerino, 16 October 2013.

A visual introduction to the w-story. pdf. Aarhus, 3 June 2013.


Spring 2013: Experimental mathematics laboratory at school level, University of Trento (in Italian)

Teaching assistant

Spring 2012: Experimental mathematics laboratory at school level, University of Trento (in Italian)

Spring 2011: Experimental mathematics laboratory at school level, University of Trento (in Italian)

Spring 2010: Geometria 2, University of Trento (in Italian)

Spring 2007: Stochastik für Informatiker, Universität Tübingen (in German)

Some of the past activities

Math.en.jeans: local organizer for Trentino-Alto Adige 2012-2013; researcher in 2012-2013, 2011-2012, 2010-2011, 2009-2010.

An exhibit and a video for MuSe, the new science museum of Trento.

Longitudine (in italian): students learning 3d graphics with POV-Ray to do animations about astronomy (Liceo Torricelli, Bolzano).

High school students residential workshops (Bottega del matematico 2013, 2012, 2011).

High school students workshops.