SupervisoryTeam

Supervisor Photo

Jose Ignacio Cogolludo Agustin

Supervisor Details

Email: jicogo@unizar.es

Organization Type: University

Organization Name: Universidad de Zaragoza

Short Biography: Predoctoral Fellow (UCM) and Teaching Assistant (UIC, Chicago), Ramón y Cajal Scholar at UCM. Full Professor (2001-2021) and Catedrático (2021-) at UNIZAR. Member of the Mathematics Institute IUMA. Coordinator of the Mathematics Master at UNIZAR (2010-2013) and Graduate Program in Mathematics and Statistics (2013-). PhD adviser for 5 PhD. thesis and 2 Master thesis in the last 10 years. Participation in 14 R&D competitive national programs, 4 of which as a PI. 55 research papers, 22 of which in Q1 and 853 citations. 43 participations in International Conferences or Seminars as invitated speaker. Organizer of 8 Conferences, funded by I-Math, NSF, Clay Insitute, ESF, among others. 4 international research stays, one of them as a Fulbright Scholar. Scientific evaluator for the Spanish National R&D since 2011. Participation in the Editorial Board of Contemporary Mathematics. Areas of interest: Topology of Quasi-projective Varieties, Algebraic and Arithmetic Aspects of Singularity Theory, Zariski Pairs, Ehrhart polynomials, Artin groups and Quasi-projective groups, Normal Surface Singularities.

Co-Supervisor Photo

Ilya SMIRNOV

Co-Supervisor Details

Email: ismirnov@bcamath.org

Organization Type: Non-academic institution

Organization Name: Basque Center for Applied Mathematics

Short Biography: Ikerbasque Research Professor at BCAM. Diploma in Mathematics from the Lomonosov Moscow State University, Russia, in 2011. PhD in Mathematics from the University of Virginia, USA, in 2015. Advisor: Craig Huneke. Ramón y Cajal and Ikerbasque Research Fellow at BCAM - Basque Center for Applied Mathematics since 2021. In 2015-2021, I held postdoctoral positions at the University of Michigan (USA), Stockholm University (Sweden), Charles University in Prague (Czech Republic), KTH Royal Institute of Technology (Sweden). Publications: 22 articles published and accepted in a range of journals including IMRN, Advances in Math, Compositio. 5 articles submitted, in peer review. Current funding: PI on PID2021-125052NA-I00, EUR2023-143443, RYC2020-028976-I from AEI and the Ikerbasque Research Fellowship (tenure-track) from Ikerbasque, Basque Foundation for Science. Research: local algebra (such as multiplicity theory and characteristic p methods) and its natural connections with algebraic geometry.

Added Value: The Basque Center for Applied Mathematics (BCAM) is a world-class interdisciplinary Research Center in the field of Applied Mathematics that was founded in 2008 as a Basque Excellence Research Center (BERC), with a focus on interdisciplinary research in Mathematics, as well as training and attracting talented scientists, and promoting scientific and technological advances worldwide. The center has been awarded (2013, 2018) twice with the Severo Ochoa distinction that consolidates BCAM as one of the most relevant institutions of the field in Europe. As a distinguished member of BCAM, Prof. Ilya Smirnov can add a strong academic value to the project, given his extended curriculum. Also, BCAM is an excellent platform for many different future projects and job opportunities. Finally, the international connections provided by BCAM will be a great asset for the future.

Other Co-Supervisor Photo

Conchita Martínez Pérez

Other Co-Supervisor

Email: conmar@unizar.es

Organization Type: University

Organization Name: Universidad de Zaragoza

Short Biography: Catedrática de Álgebra (UZ). Research topics: cohomological conditions of finiteness in groups, geometric group theory, interactions between group theory and Lie algebra theory. Postdoctoral stays at U. Otto-von-Guericke (Magdeburg, Germany) and one year at ETH-Zentrum in Zürich. 49 publications indexed in JCR. Invited speaker at more than 20 international conferences and 38 talks at seminars. Organization of various scientific events. PI of two projects of the national plan (2016-2018 and 2019-2022) and of the Spanish Network on Group Theory (2018-2020). Thesis supervision together with Prof. J.I. Cogolludo on Artin groups. Supervising two students currently on interactions between group theory and Lie algebras and cubic actions. Coordinator of the degree in Mathematics (U. Zaragoza, 2015-2018) and Secretary Professor of the Faculty of Sciences (UZ, 2019-). Outreach activities, related to the “11F Day of Women and Girls in Science” and two summer courses on Enigma. Member of the editorial committee of the journal Publicacions Matemàtiques and regular referee for international journals. Ramón y Cajal aid evaluation committee (2017) and R. y C. and Juan de la Cierva (2020). Project evaluation work for various research agencies.

ResearchGroup

Description: Our research group has been growing since the 1990’s, where it started at U. Complutense de Madrid around the transversal topic of singularity theory with a group of 2 professors (Prof. Ignacio Luengo-Velasco and Prof. Enrique Artal) and 2 students (A. Melle-Hernández and J.I. Cogolludo). Nowadays, this group has become a coordinated link of groups in Madrid, Zaragoza, and Bilbao, with a total of 18 professors and 14 PhD students. Grupo Singular https://blogs.mat.ucm.es/singular/ Our active connections with international researchers include Université de Bordeaux, Moscow University, Université de Lille, Cimat, Renyi Mathematical Institute, University of Leuven, Louisiana State University, University of Illinois at Chicago, University of Michigan-Ann Arbor, Martin-Luther-Universität Halle-Wittenberg, Rwth Aachen University, Babes-Bolyai University, Cluj-Napoca, Université de Pau et de Pays de Ladour, UNAM, Tokushima University, Tokyo Metropolitan University, National Institute of Technology of Ibaraki. Grupo Singular has a long and solid research and training tradition, centered around the theory of singularities from several points of view: algebraic, geometric, analytical, topological and combinatorial, and its applications in areas such as cryptography, discrete geometry, computing, biology, and the physics of space.

ResearchLine

Description: Title: On the connection between Artin groups and Quasi-projective varieties. The current PhD. Project revolves around singularity theory and its applications. The main purpose of the research is based on the study of Artin groups and their connection with quasi-projective varieties. This is a continuation of the research carried out by Prof. Conchita Martínez and it might require the development of software for SageMath to make calculations of invariants of groups effective. We will explore the possibility of using Artificial Intelligence, in particular, Neural Networks to apply algorithms that can be accommodated with learning processes to make the computations described above more effective.

CareerDevelopment

Objectives

  • Future postdoc employment at the University
  • Increased employability in the non-academic sector
  • International mobility
  • Building collaborative networks
  • Trainings to enhance career opportunities
  • Application of postdoctoral grants (MSCA, Juan de la Cierva, etc.)
  • Application for projects and funding (Horizon Europe, national plans, etc.)
  • Involvement in teaching, supervision, or mentoring

Expected Outputs

  • PhD defense
  • Application of grants (MSCA, Juan de la Cierva, etc.)
  • Publication of articles
  • Attendance to international conferences

Other Outputs: Possible contribution to development of software

Training Skills

  • Project Management
  • Time Management
  • Open Science
  • Gender and diversity dimension of research
  • Supervision
  • Advanced Digital Skills
  • Responsible use of Artificial Intelligence
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