In memoriam

José Carlos Petronilho, 1965-2021

CMUC deeply regrets the unexpected passing of Professor José Carlos Petronilho on August 27. He dedicated his entire academic career as a professor and researcher to the UC and the Department of Mathematics, which he joined in 1989. A member of CMUC's research group in Analysis, he devoted much of his research work to the study of Orthogonal Polynomials and Special Functions. He will be missed very much.


Results of the 2021 FCT call for SR&TD Projects in all scientific domains

The project "Complex Risk Management in the Big Data Regime" (PTDC/MAT-APL/1286/2021), a partnership of a CMUC team with colleagues from the Faculty of Economics (FEUC), led by CMUC researcher José Luís Santos, was one of the projects selected by FCT. The proposal was recommended with a funding of 239 730,24€ (100% of the requested funding).

Research team at CMUC:
• José Luís Santos (PI)
• Carlos Tenreiro
• Cristina Martins
• Ana Cristina Rosa.

Verão com Ciência 2021

Challenges in Computational Mathematics, September 2021, Coimbra

The Lab for Computational Mathematics of CMUC supervises 7 internships for undergraduate and MSc students, as part of the project "Challenges in Computational Mathematics", sponsored by FCT programme "Verão com Ciência 2021".

The project, organized by our colleagues Sílvia Barbeiro and Adérito Araújo, takes place during the current month of September, and closes with a workshop on "Computational Mathematics in the challenges of the real world", with invited speakers and a session where students may present their work.

The topics of the internships range from "A watermark scheme for digital images", "Computational enumeration of negatively autopolar polyhedra" or "Data classification" to "Encryption/Cryptanalysis, RSA public key cipher".

See the program of the workshop here.

New Springer Nature series "Coimbra Mathematical Texts"

DMUC has a new collection of advanced level mathematical texts, the Coimbra Mathematical Texts, published in collaboration with Springer Nature. This series aims to publish monographs and conference proceedings of excellent quality, in all branches of mathematics.

Any researcher interested to contribute to this collection should send an e-mail to (with subject "Possible contribution").
The editorial team will perform an initial appraisal of the submitted manuscript based on the quality of the submission, interest and importance of the topic. If the contribution is considered suitable to be sent to peer review, it will be reviewed by specialists of international reputation.

Editorial Board:
• Ana Paula Santana (CMUC)
• Júlio S. Neves (CMUC)
• Marcelo Viana (IMPA, Brazil)
• Paula de Oliveira (CMUC)
• Rui Loja Fernandes (Univ. Illinois, USA).

Coimbra Mathematical Texts, first volume

The first volume of the new Springer Nature series "Coimbra Mathematical Texts", titled "New Perspectives in Algebra, Topology and Categories", will appear soon.

Guest Editors:
• Maria Manuel Clementino (CMUC)
• Alberto Facchini (University of Padova, Italy)
• Marino Gran (Université catholique de Louvain, Belgium)

The seven chapters present the notes of the courses taught in two Summer Schools in Algebra and Topology that took place in Louvain-la-Neuve in the framework of the project "Fonds d'Appui à l'Internationalisation" of the Université catholique de Louvain to strengthen the collaborations with the universities of Coimbra, Padova and Poitiers, within the Coimbra Group.

• Ring epimorphisms, Gabriel topologies and contramodules, by Silvana Bazzoni
• An invitation to topological semi-abelian algebras, by Maria Manuel Clementino
• Commutative monoids, noncommutative rings and modules, by Alberto
• An introduction to regular categories, by Marino Gran
• Categorical commutator theory, by Sandra Mantovani and Andrea Montoli
• Notes on point-free topology, by Jorge Picado and Aleš Pultr
• Non-associative algebras, by Tim Van der Linden.

Online access to Springer e-books

CMUC purchased recently the access to books of the Springer Mathematics and Statistics collection (years 2009 to 2016). This digital collection (3714 books) will be included in the DMUC Library catalog and its online access is perpetual.

To access the books, simply enter the Springer webpage from a computer at FCTUC (connected via ethernet cable) or via a VPN connection to DMUC. More information can be found on the DMUC Library page.

The access to books published in years 2005-2008 is freely available in Portugal via B-on webpage.

Junior Statistical Award

The Portuguese Statistical Society (SPE) promotes the "Junior Statistical 2021" award. CMUC sponsors the prize with the offer of math books to the awardees.

More information here.

CMUC webpage and server

An update of CMUC's webpage and database will start shortly.

Aims: to avoid some problems with recent versions of browsers; to make it a responsive mobile-friendly site; to translate the database to a new server, preventing security problems.

New Researchers of CMUC

Edgard Almeida Pimentel

PhD in Mathematics (Time dependent mean-field games, 2013, IST, Lisbon), under the supervision of Diogo Gomes.

Research group: Analysis.
Main research interests: Partial Differential Equations, with emphasis on regularity theory.

Graham Richard Manuell

PhD in Mathematics (Quantalic spectra of semirings, 2020, University of Edinburgh, UK), under the supervision of Antony Maciocia.

Research group: Algebra, Logic and Topology.
Main research interests: Localic algebra, constructive topology, category theory, commutative ring theory, monoid extensions.

João Nuno Mestre

PhD in Mathematics (Differentiable stacks: stratifications, measures and deformations, 2016, Utrecht University, Netherlands), under the supervision of Marius Crainic.

Research group: Geometry.
Main research interests: Lie groupoids, deformation theory, Poisson geometry, and geometry of spaces with singularities.

New postdocs at CMUC

Carla Rizzo

PhD in Mathematics and Computer Science ("Differential identities and almost polynomial growth. Star algebras and cocharacters", 2019, Universities of Catania & Palermo, Italy), under the supervision of Antonio Giambruno.

Research group: Algebra and Combinatorics.
Main research interests: Study of polynomial identities satisfied by a given algebra by combining methods of combinatorics and representation theory of groups with an analytical approach.

Jamshaid ul Rahman

PhD in Computational Mathematics (2020, University of Science and Technology of China, Hefei).

Research group: Analysis.
Main research interests: Mathematical modeling and scientific computing, computer vision and data science. .

Hired by the FCT project "Multi-cam Capsule Endoscopy Imagery: 3D Capsule Location and Detection of Abnormalities" (PTDC/EMD-EMD/28960/2017, PI: Isabel Narra Figueiredo), from July 2021 till July 2022.

Rita Guerra

PhD in Aplied Mathematics ("Generalizations of the Fourier transform and their applications", 2019, University of Aveiro), under the supervision of Luís Castro.

Research group: Analysis.
Main research interests: Integral equations, integral transforms, functional analysis, operator theory, Fourier analysis, signal processing.

New PhD students

Alexandre Suzuki

MSc in Mathematics (2020, Univ. Federal de Uberlândia, Brazil).

Student of the Analysis research group, under the supervision of Kenier Castillo.

Topic: Analytic and algebraic problems in the theory of orthogonal polynomials.

Augusto Manuel de Oliveira Fernandes

MSc in Mathematics, specialization in Statistics, Optimization and Mathematics in Finance (2021, Univ. Coimbra).

Student of the Numerical Analysis and Optimization research group, under the supervision of José Augusto Ferreira and Paula de Oliveira.

Topic: A coupled radiation and fluid transport model for viral inactivation.

Diogo Conde Soares

MSc in Mathematics, specialization in Applied Analysis and Computation (2021, Univ. Coimbra).

Student of the Algebra and Combinatorics and Numerical Analysis and Optimization research groups, under the supervision of Ricardo Mamede and José Luís Santos.

Topic: The graph of commutation classes of permutations of Coxeter groups of type B and D.

Gonçalo Nuno Mota Varejão

MSc in Mathematics, specialization in Pure Mathematics (2021, Univ. Coimbra).

Student of the Algebra and Combinatorics research group, under the supervision of Jorge Sentieiro Neves.

Topic: Connections between graphs and commutative algebra: classes of ideals associated with graphs.

Lennart Obster

MSc in Mathematics (2021, Radboud Univ. Nijmegen, Netherlands).

Student of the Geometry research group, under the supervision of João Nuno Mestre.

Topic: Deformation theory of geometric structures on Lie groupoids.

Rafael Oliveira Henriques

MSc in Mathematics, specialization in Statistics, Optimization and Mathematical Finance (2020, Univ. Coimbra).

Student of the Numerical Analysis and Optimization research group, under the supervision of Sílvia Barbeiro.

Topic: Numerical methods for the robust reconstruction of elasticity.

Raquel Viegas Bernardes

MSc in Mathematics, specialization in Pure Mathematics (2020, Univ. Coimbra).

Student of the Algebra, Logic and Topology research group, under the supervision of Jorge Picado.

Topic: Measure and randomness in locales.

Sebastián Daza

MSc in Mathematics (2021, Univ. São Paulo, Brazil).

Student of the Geometry research group, under the supervision of João Nuno Mestre.

Topic: Deformations of morphisms of Lie groupoids and differentiable stacks.

Vincenzo Bianca

MSc in Mathematics (2020, Univ. Catania, Italy).

Student of the Analysis research group, under the supervision of José Miguel Urbano.

Topic: Regularity for interface transmission problems.

Forthcoming Events

Workshop: Matemática Computacional nos desafios do mundo real

Universidade de Coimbra, 29 September, 2021

This workshop on Computational Mathematics, organized by the Lab for Computational of CMUC, is the closing event of the project "Challenges in Computational Mathematics", sponsored by the FCT programme "Verão com Ciência 2021".

Invited Speakers:
• Paula de Oliveira (CMUC)
• Lino Ferreira (Center for Neuroscience and Cell Biology, UC)
• Penousal Machado (Department of Informatics Engineering, UC)
• Ricardo Patrício (Redwire Europe)

Organizers at CMUC:
Sílvia Barbeiro • Adérito Araújo

More information here.

Meeting on the Scientific Heritage of the Coimbra Group Universities

Louvain-la-Neuve (Belgium), 22 October, 2021

This meeting is the closing event of the Project "Attractivité internationale et collaborations de recherche dans le cadre du Coimbra group".

Invited Speakers:
• Jean-Michel Counet (UCLouvain)
• Dominique Lambert (University of Namur)
• João Filipe Queiró (CMUC)

Organizers at CMUC:
Maria Manuel Clementino

More information here.

TACL Summer School

Mira, 13-18 June, 2022

This summer school is a satellite event of the TACL 2022 conference. Both events focus on logic and the tools provided by topology, algebra, and category theory. Hence the name TACL, for Topology, Algebra, and Categories in Logic. TACL conferences and schools provide a healthy environment for interactions between computer scientists and mathematicians working in logic. The TACL conference has been held every two years since 2003. Since 2013 a summer school has been associated to the conference.

The week is organized around four advanced courses on central themes of TACL. Besides, a session with short presentations by students or a poster session may be organized.

Invited Lecturers:
• Dirk Hofmann (Univ. Aveiro, Portugal)
• Rosalie Iemhoff (Utrecht Univ., The Netherlands)
• Graham Manuell (CMUC, Portugal)
• Walter Tholen (York Univ., Toronto, Canada)

Organizers at CMUC:
Maria Manuel Clementino (chair) • Igor Arrieta • Ana Belén Avilez • Célia Borlido • Maria João Ferreira • Carlos Fitas • Leonardo Larizza • Rui Prezado

More information here.

TACL 2022 - Topology, Algebra, and Categories in Logic

University of Coimbra, 20-24 June, 2022

This is the tenth conference in the series Topology, Algebra and Categories in Logic (TACL, formerly TANCL). Earlier installments of this conference have been organized in Tbilisi (2003), Barcelona (2005), Oxford (2007), Amsterdam (2009), Marseille (2011), Nashville (2013), Ischia (2015), Prague (2017) and Nice (2019).

Contributed talks in any topic dealing with the use of algebraic, categorical or topological methods in either logic or computer science are welcome.

Programme Committee:
Peter Jipsen (co-chair) • Jorge Picado (co-chair) • Nick Bezhanishvili • Agata Ciabattoni • Maria Manuel Clementino • Mai Gehrke • Silvio Ghilardi • Zuzana Haniková • John Harding • Tomás Jakl • Zurab Janelidze • Ramón Jansana • Agi Kurucz • Serafina Lapenta • Matías Menni • George Metcalfe • Hiroakira Ono • Daniela Petrisan • Adam Prenosil • Luca Reggio • Greg Restall • Benno van den Berg

Organizers at CMUC:
Maria Manuel Clementino (chair) • Igor Arrieta • Ana Belén Avilez • Célia Borlido • Maria João Ferreira • Carlos Fitas • Gonçalo Gutierres • Dirk Hofmann • Leonardo Larizza • Graham Manuell • Jorge Picado • Sandra Pinto • Rui Prezado • Manuela Sobral • Lurdes Sousa

More information here.

Non-Associative Algebras and Related Topics II

University of Coimbra, 18-22 July, 2022

This conference is dedicated to honor Alberto Elduque on the occasion of his 60th birthday. In the past 30 years, Professor Elduque has significantly contributed to the progress of Algebra, notably to the theory of non-associative graded algebras. Our aim is to bring together those mathematicians who have been important in Elduque's scientific career, whether his professors, collaborators, students, or simply his fellow travellers in the journey of math.

The host is the Department of Mathematics of the University of Coimbra (DMUC), drawing on the support of several other Portuguese research institutions.

Invited Speakers:
• Yuri Bahturin (Memorial University of Newfoundland, Canada)
• Georgia Benkart (University of Wisconsin-Madison, USA)
• Alberto Elduque (University of Zaragoza, Spain)
• Vyacheslav Futorny (University of São Paulo, Brazil)
• Mikhail Kotchetov (Memorial University of Newfoundland, Canada)
• Consuelo Martínez (University of Oviedo, Spain)
• Ivan Shestakov (University of São Paulo, Brazil)
• Efim Zelmanov (University of California, San Diego, USA)

• Antonio Fernández López (University of Málaga, Spain)
• Victor Kac (Massachussetts Institute of Technology, USA)
• Fernando Montaner (University of Zaragoza, Spain)

Organizers at CMUC:
Helena Albuquerque • Elisabete Barreiro • Jose Brox • Paulo Saraiva

More information here.

Recent Preprints

21-31: 𝒪-operators on Lie ∞-algebras with respect to Lie ∞-actions

Raquel Caseiro and Joana Nunes da Costa

PDF file here.

21-30: Identities in prime rings

Jose Brox

PDF file here.

21-29: An optimal Liouville theorem for the porous medium equation

Damião J. Araújo and Rafayel Teymurazyan

PDF file here.

21-28: Adjoint maps between implicative semilattices and continuity of
            localic maps

Marcel Erné, Jorge Picado and Aleš Pultr

PDF file here.

21-27: On functors preserving projective resolutions

Ana Paula Santana and Ivan Yudin

PDF file here.

See the complete list here.

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