Recent News and events

Short course Duality and symmetry in interacting particle systems, by Gunter Schütz

19/03/2025 — 20/03/2025

Room P3.10, Mathematics Building, Instituto Superior Técnico

Duality and symmetry in interacting particle systems

Duality is an important concept in the study of stochastic interacting particle systems. For arbitrary initial measures duality expresses expectations of a family of functions at time $t$ in terms of the transition probability of a dual process which may be simpler to analyse. Focussing on countable state space we discuss duality from the perspective of the generator. Unlike the more traditional approach of looking at duality in a pathwise manner this allows us to understand straightforwardly how dualities arise from symmetries, or more generally, from invariant subspaces of the generator and leads to constructive methods for finding useful dualities. Also the new concept of reverse duality comes out naturally. It yields the full probability measure of the process at time t for a family of initial measures in terms of transition probabilities of the dual process and thus allows for the computation of arbitrary expectation values.

Sessions on March 19 and 20, 1:00PM to 2:30PM.

π Day + NMath’s Birthday

14/03/2025 14:00

Sala 4.35, Edifício de Matemática, Instituto Superior Técnico

The IST Mathematics Students Group (NMath) celebrates π Day and its birthday!

This includes talks

14:00 - 15:00
Gonçalo Oliveira
Contendo pontos de equilíbrio num campo electromagnético
15:00 - 16:00
Jorge Drummond Silva
Ondas, dispersão e análise de Fourier elementar

followed by a party with cake at 16:00.

Náboj, a competition full of mathematics!

14/03/2025 10:30

Técnico Innovation Center, Arco do Cego, Lisboa

The Department of Mathematics continues its collaboration with TreeTree2, supporting the realization of Náboj, March 14, 2025 at the Técnico Innovation Center (TIC). Náboj is an international mathematics competition for teams of five high school students representing their schools. Around 160 students are expected at TIC!

Náboj in SIC.

Master degrees’ day 2025

12/03/2025 15:00

@ Pavilhão Central do Campus da Alameda

15h00 – 19h30 – Exhibition of Master degrees (Pavilhão Central)

17h30 – 19h30 – Round tables (Salão Nobre)

Detailed program here.

Integrated PhD in Mathematics: first edition of a meeting consisting of short presentations of research topics in Mathematics 

08/11/2024 14:00

@ P3.10, Mathematics Building, Alameda campus, Instituto Superior Técnico, Lisboa, Portugal

First edition of a meeting aimed at students who may be interested in an integrated PhD in Mathematics, and also at bachelor or master’s students who would like to know about possible PhD topics in Mathematics.

The meeting will be entirely face-to-face and will consist of short presentations of research topics in Mathematics by faculty members of the Department of Mathematics of IST.

Schedule

Chair: Pedro Girão

  • 14h: brief introduction by the chairman
  • 14h05 - 14h20: João Ribeiro, Randomness, Codes, and Computation
  • 14h25 - 14h40: Pedro Lopes, Structure of quandles
  • 14h45 - 15h: Ricardo Schiappa, Resurgence, random matrices, and strings
  • 15h05 - 15h20: Lina Oliveira, Structure and representation of Tits-Kantor-Koecher Lie algebras of JB*-triples

15h25 - 15h45: COFFEE BREAK

Chair: Leonor Godinho

  • 15h45 - 16h: João Pimentel Nunes, Problems in geometric quantization
  • 16h05 - 16h20: Gabriel Cardoso, Riemann-Hilbert problems, self-dual Yang-Mills equations and gravitational field equations
  • 16h25 - 16h40: Cristina Câmara, Spaces of analytic functions and their operators
  • 16h45 - 17h: José Matias, Calculus of Variations applied to problems in the context of Continuum Mechanics

in the Mathematics Symposium

28/10/2024 17:00

@ Anfiteatro Pa1, Edifício de Matemática, Campus da Alameda, Instituto Superior Técnico

Revisiting the Role of Mathematicians in the Era of Artificial Intelligence

The purpose of the Mathematics Syposium series is to have some of the leading world mathematicians, computer scientists and statisticians discussing their work and views on a topic. Presentations should, as much as possible, be aimed at a broad mathematical audience, including students.

Strings Online Lisbon Workshop

28/10/2024 — 01/11/2024

This online international workshop brings together experts in quantum gravity, string theory and machine learning to stimulate collaborative discussions and exchange of ideas on the latest developments and results in the field.

Organizers: Gabriel Lopes Cardoso (IST, Lisbon), Yang-Hui He (LIMS & Merton College, Oxford), Suresh Nampuri (IST, Lisbon)

Team Europe wins the International Cybersecurity Challenge 2024!

28/10/2024 — 30/10/2024

@ Santiago, Chile

Mariana Rio Costa, a LMAC student, is a member of Team Europe, the winner of his year’s edition of the International Cybersecurity Challenge (ICC) that took place from 28 October to 1 November, bringing together in Santiago, Chile, some of the best cybersecurity talent in the world to compete and test cybersecurity skills.

During the three-day event, players competed in solving complex cybersecurity puzzles, involving classic Jeopardy challenges such as cryptography, reverse engineering and web exploitation, and a competition in Attack and Defense, where players are requested to defend vulnerable services through patching while exploiting vulnerabilities of other teams and eventually steal flags. Congratulations to Team Europe and to Mariana Rio Costa, LMAC student,  who is part of Team Europe.