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INdAM Doctoral Programme in Mathematics and/or applications cofunded by Marie Sklodowska-Curie actions

Deliverables

1st Periodic Report

Periodic Report to be submitted within 60 days following the first reporting period: Month 24+2.

Report for the first call on evaluation and selection

Report for the first call on evaluation and selection. Containing at least the following information: Number of applications received (how many eligible/ineligible?) Date when the evaluation and selection took place Names and affiliations of experts involved (From which countries? Gender? Sectors?) Was the evaluation done remotely or onsite? Was there a briefing of the experts? Number of experts evaluating each proposal Number of proposals passing/failing evaluation Number of fellows finally selected under the specific Call (and in the reserve list, if relevant)

Researcher Declarations for the second Call

Researcher Declaration to be submitted within 20 days of the start of the research training activities, one for each researcher.

Report on ethical issues (first Call)

The Ethics Reports after each call should contain at least the following information: - A short description on how the ethics procedure in place (as described in Annex I of the Grant Agreement) was followed and the adaptations made if relevant. This part should also include a description of the role and composition of the ethics committee if such a committee was involved. -An overview table based on the following structure (only for the successful fellows): name of the researcher; the title of research project with ethical issues; the ethics area(s) concerned; conditions to be fulfilled for funding and ethics requirements to be monitored during implementation; follow-up during the implementation. Only those research projects having ethics issues need to be detailed in this table. -The Final Ethics Report should summarise the ethics procedure followed during the entire project lifecycle and focus on the adaptation made and lessons learned. The report should also confirm that all required approvals/ authorisations were obtained and that the research was conducted in compliance with the ethical principles and applicable international, EU and national law under H2020.

Report for the second call on evaluation and selection

Report for the 2nd call on evaluation and selection. Containing at least the following information: Number of applications received (how many eligible/ineligible?) Date when the evaluation and selection took place Names and affiliations of experts involved (From which countries? Gender? Sectors?) Was the evaluation done remotely or onsite? Was there a briefing of the experts? Number of experts evaluating each proposal Number of proposals passing/failing evaluation Number of fellows finally selected under the specific Call (and in the reserve list, if relevant)

Report on disseminations activities (first Call)

Report on disseminations activities (first Call). Containing at least the following information): Dates of Call Publication and places where it was published (Supporting documents required). Flyers, brochures, or other information produced Presentations conferences and meetings or other events Published articles in the press (please list and attach only main articles) Any other means of advertising the programme

Report on ethical issues (second Call)

The Ethics Reports after each call should contain at least the following information: - A short description on how the ethics procedure in place (as described in Annex I of the Grant Agreement) was followed and the adaptations made if relevant. This part should also include a description of the role and composition of the ethics committee if such a committee was involved. -An overview table based on the following structure (only for the successful fellows): name of the researcher; the title of research project with ethical issues; the ethics area(s) concerned; conditions to be fulfilled for funding and ethics requirements to be monitored during implementation; follow-up during the implementation. Only those research projects having ethics issues need to be detailed in this table. -The Final Ethics Report should summarise the ethics procedure followed during the entire project lifecycle and focus on the adaptation made and lessons learned. The report should also confirm that all required approvals/ authorisations were obtained and that the research was conducted in compliance with the ethical principles and applicable international, EU and national law under H2020.

Second Call announcement

Second Call announcement in Italian and English. Inform the Project Officer by sending the link to the Euraxess website where the Call has been published.

Report on disseminations activities (second Call)

Report on disseminations activities (second Call) Containing at least the following information): Dates of Call Publication and places where it was published (Supporting documents required). Flyers, brochures, or other information produced Presentations conferences and meetings or other events Published articles in the press (please list and attach only main articles) Any other means of advertising the programme

First Call announcement

First Call announcement,in Italian and English. Inform the Project Officer by sending the link to the Euraxess website where the first call is published.

Researcher Declarations for the first Call

Researcher Declaration to be submitted within 20 days of the start of the research training activities, one for each researcher.

Publications

Injective tensor products in strict deformation quantization

Author(s): Murro, Simone; van de Ven, Christiaan J. F.
Published in: Mathematical Physics, Analysis and Geometry, 5, 2021, ISSN 1572-9656
Publisher: Springer Nature B.V.
DOI: 10.1007/s11040-021-09414-1

On Slice Polyanalytic Functions of a Quaternionic Variable

Author(s): Alpay, Daniel; Diki, Kamal; Sabadini, Irene
Published in: Result in Mathematics, 75, 2019, Page(s) 1-25, ISSN 1420-9012
Publisher: Springer Nature Switzerland AG
DOI: 10.1007/s00025-018-0942-2

Bulk-boundary asymptotic equivalence of two strict deformation quantizations

Author(s): Valter Moretti; Christiaan J. F. van de Ven
Published in: Letters in Mathematical Physics, 14, 2020, ISSN 1573-0530
Publisher: Springer Netherlands
DOI: 10.1007/s11005-020-01333-6

Strict deformation quantization of the state space of $M_k(\mathbb{C})$ with applications to the Curie-Weiss model

Author(s): Landsman, Klaas; Moretti, Valter; van de Ven, Christiaan J. F.
Published in: Reviews in Mathematical Physics, 32, 2020, ISSN 0129-055X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0129055x20500312

Variational derivation of thermal slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules and Cercignani–Lampis boundary conditions: Comparison with experimental results

Author(s): Nhu Ngoc Nguyen, Irina Graur, Pierre Perrier, and Silvia Lorenzani
Published in: Physics of Fluids, 2020, ISSN 1070-6631
Publisher: American Institute of Physics
DOI: 10.1063/5.0025282

PLANE POLAR CREMONA MAPS OF ARBITRARILY LARGE DEGREE IN POSITIVE CHARACTERISTIC

Author(s): Rémi Bignalet-Cazalet
Published in: Geometriae Dedicata, 214, 2021, Page(s) 559-570, ISSN 1572-9168
Publisher: Springer Netherlands
DOI: 10.1007/s10711-021-00628-9

On the Bargmann-Fock-Fueter and Bergman-Fueter integral transforms

Author(s): Diki, Kamal; Krausshar, Rolf Sören; Sabadini, Irene
Published in: Journal of Mathematical Physics, 60, 2019, ISSN 1089-7658
Publisher: AIP Publishing
DOI: 10.1063/1.5094384

Strong convergence of a linearization method for semi-linear elliptic equations with variable scaled production

Author(s): Anh-Khoa Vo, Ekeoma Rowland Ijioma, Nhu-Ngoc Nguyen
Published in: Computational and Applied Mathematics, 39, 2020, ISSN 1807-0302
Publisher: Springer Nature Switzerland
DOI: 10.1007/s40314-020-01334-0

Deep neural networks for inverse problems with pseudodifferential operators: an application to limited-angle tomography

Author(s): Tatiana A. Bubba; Mathilde Galinier; Matti Lassas; Marco Prato; Luca Ratti; Samuli Siltanen
Published in: SIAM Journal on Imaging Sciences, 2021, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1343075

Some remarks on the Dirichlet problem on infinite trees

Author(s): Matteo Levi; Nikolaos Chalmoukis
Published in: Concrete Operators, Vol 6, Iss 1, Pp 20-32 (2019), 5, 2019, ISSN 2299-3282
Publisher: De Gruyter Open Access
DOI: 10.1515/conop-2019-0002

Quasi-nilpotency of generalized Volterra operators on sequence spaces

Author(s): N. Chalmoukis; G. Stylogiannis
Published in: Results in Mathematics, 76, 2021, Page(s) 1-18, ISSN 1420-9012
Publisher: Springer Nature Switzerland AG
DOI: 10.1007/s00025-021-01482-7

Enhanced boundary regularity of planar nonlocal minimal graphs and a butterfly effect

Author(s): Serena Dipierro; Aleksandr Dzhugan; Nicolò Forcillo; Enrico Valdinoci
Published in: Bruno Pini Mathematical Analysis Seminar, Vol 11, Iss 1, Pp 44-67 (2020), 11, 2020, ISSN 2240-2829
Publisher: Bruno Pini Mathematical Analysis Seminar
DOI: 10.6092/issn.2240-2829/10585

On the global operator and Fueter mapping theorem for slice polyanalytic functions

Author(s): Daniel Alpay; Kamal Diki; Irene Sabadini
Published in: Analysis and Applications, 19, 2021, ISSN 0219-5305
Publisher: World Scientific
DOI: 10.1142/s0219530520500189

Integer point enumeration on independence polytopes and half-open hypersimplices

Author(s): Luis Ferroni
Published in: Discrete Mathematics, 2021, ISSN 0012-365X
Publisher: Elsevier BV
DOI: 10.1016/j.disc.2021.112446

Asymptotic charges, large gauge transformations and inequivalence of different gauges in external current QED

Author(s): Dybalski, Wojciech; Wegener, Benedikt
Published in: Journal of High Energy Physics, 12, 2019, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep11(2019)126

An All Speed Second Order IMEX Relaxation Scheme for the Euler Equations

Author(s): Andrea Thomann; Markus Zenk; Gabriella Puppo; Christian Klingenberg
Published in: Commun. Comput. Phys., 28, 2020, ISSN 1815-2406
Publisher: Global Science Press
DOI: 10.4208/cicp.oa-2019-0123

An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity

Author(s): Andrea Thomann; Gabriella Puppo; Christian Klingenberg
Published in: Journal of Computational Physics, 420, 2020, ISSN 1090-2716
Publisher: Elsevier
DOI: 10.1016/j.jcp.2020.109723

Prescribing Gaussian and Geodesic Curvature on Disks

Author(s): Sergio Cruz-Blázquez, David Ruiz
Published in: Advanced Nonlinear Studies, 18/3, 2018, Page(s) 453-468, ISSN 1536-1365
Publisher: UTHSCSA Press
DOI: 10.1515/ans-2018-2021

Prony’s Method Under an Almost Sharp Multivariate Ingham Inequality

Author(s): Stefan Kunis, H. Michael Möller, Thomas Peter, Ulrich von der Ohe
Published in: Journal of Fourier Analysis and Applications, 24/5, 2018, Page(s) 1306-1318, ISSN 1069-5869
Publisher: Birkhaeuser
DOI: 10.1007/s00041-017-9571-5

Learning algebraic decompositions using Prony structures

Author(s): Stefan Kunis, Tim Römer, Ulrich von der Ohe
Published in: Adv. in Appl. Math, 118, 2020, ISSN 0196-8858
Publisher: Academic Press
DOI: 10.1016/j.aam.2020.102044

Generalized integration operators on Hardy spaces

Author(s): Nikolaos Chalmoukis
Published in: Proceedings of the American Mathematical Society, 6, 2020, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/15016

Ehrhart polynomials of rank two matroids

Author(s): Ferroni, Luis; Jochemko, Katharina; Schröter, Benjamin
Published in: Discrete & Computational Geometry, 2021, Page(s) 1-19, ISSN 1432-0444
Publisher: Springer Nature Switzerland AG
DOI: 10.1007/s00454-021-00313-4

Quantum spin systems versus Schrodinger operators: A case study in spontaneous symmetry breaking

Author(s): Christiaan J. F. van de Ven; Gerrit C. Groenenboom; Robin Reuvers; Nicolaas P. Landsman
Published in: Scipost Physics, 8, 1 - 36, 2, 2020, Page(s) 1-36, ISSN 2542-4653
Publisher: SciPost Foundation
DOI: 10.21468/scipostphys.8.2.022

Fractional powers of vector operators with first order boundary conditions

Author(s): Fabrizio Colombo, Denis Deniz González, Stefano Pinton
Published in: Journal of Geometry and Physics, 2020, ISSN 0393-0440
Publisher: Elsevier BV
DOI: 10.1016/j.geomphys.2020.103618

The classical limit of mean-field quantum spin systems

Author(s): Christiaan J. F. van de Ven
Published in: Journal of Mathematical Physics, 2020, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0021120

Solution to a problem by FitzGerald

Author(s): Jens Hemelaer, Morgan Rogers
Published in: Semigroup forum, 2021, ISSN 0037-1912
Publisher: Springer Verlag
DOI: 10.1007/s00233-021-10170-5

Large time step TVD IMEX Runge-Kutta schemes based on arbitrarily high order Butcher tableaux

Author(s): Victor Michel-Dansac; Andrea Thomann
Published in: HAL, 2, 2020
Publisher: hal.archives-ouvertes.fr

A post-quantum key exchange protocol from the intersection of quadric surfaces

Author(s): Daniele Di Tullio, Manoj Gyawali
Published in: 2020
Publisher: arXiv.org

The classical limit and spontaneous symmetry breaking in algebraic quantum theory

Author(s): Christiaan J.F. van de Ven
Published in: 2021
Publisher: arxiv.org

Domain Variation Solutions for degenerate two phase free boundary problems

Author(s): Aleksandr Dzhugan, Fausto Ferrari
Published in: 2020
Publisher: arXiv.org

Modular Nuclearity and Entanglement Entropy

Author(s): Lorenzo Panebianco, Benedikt Wegener
Published in: 2021
Publisher: arxiv.org

Conformal metrics with prescribed scalar and mean curvature

Author(s): S. Cruz-Blázquez, A. Malchiodi, D. Ruiz
Published in: 2021
Publisher: arxiv.org

Fock and Hardy spaces: Clifford-Appell case

Author(s): Alpay, Daniel; Diki, Kamal; Sabadini, Irene
Published in: 2021
Publisher: ArXiv.org

Matroids are not Ehrhart positive

Author(s): Luis Ferroni
Published in: 2021
Publisher: arxiv.org

Stressed hyperplanes and Kazhdan-Lusztig gamma-positivity for matroids

Author(s): Luis Ferroni, George D. Nasr, Lorenzo Vecchi
Published in: 2021
Publisher: arXiv.org

Ehrhart polynomials of rank two matroids

Author(s): Luis Ferroni, Katharina Jochemko, Benjamin Schröter
Published in: 2021
Publisher: arxiv.org

Modular Nuclearity and Entanglement measures

Author(s): Lorenzo Panebianco, Benedikt Wegener
Published in: 2021
Publisher: arxiv.org

A post-quantum signature scheme from the secant variety of the Grassmannian

Author(s): Daniele Di Tullio, Manoj Gyawali
Published in: 2020
Publisher: Cryptology ePrint Archive

Random interpolating sequences in Dirichlet spaces

Author(s): Nikolaos Chalmoukis, Andreas Hartmann, Karim Kellay, Brett Wick
Published in: 2019
Publisher: arxiv.org

Modular operator for null plane algebras in free fields

Author(s): Vincenzo Morinelli, Yoh Tanimoto, Benedikt Wegener
Published in: 2021
Publisher: arxiv.org

Matroid relaxations and Kazhdan-Lusztig non-degeneracy

Author(s): Luis Ferroni, Lorenzo Vecchi
Published in: 2021
Publisher: arxiv.org

Toposes of Discrete Monoid Actions

Author(s): Morgan Rogers
Published in: 2019
Publisher: arxiv.org

Totally null sets and capacity in Dirichlet type spaces

Author(s): Chalmoukis, Nikolaos; Hartz, Michael
Published in: 2020
Publisher: arXiv.org

Projective manifolds whose tangent bundle is Ulrich

Author(s): Vladimiro Benedetti, Pedro Montero, Yulieth Prieto Montañez, Sergio Troncoso
Published in: 2021
Publisher: arxiv.org

On high-accuracy L∞-stable IMEX schemes for scalar hyperbolic multi-scale equations

Author(s): Victor Michel-Dansac, Andrea Thomann
Published in: 2019
Publisher: HAL open science

Mise en abyme with Artificial Intelligence: How to Predict the Accuracy of NN, Applied to Hyper-parameter Tuning.

Author(s): Giorgia Franchini; Mathilde Galinier; Micaela Verucchi
Published in: Recent Advances in Big Data and Deep Learning Proceedings of the INNS Big Data and Deep Learning Conference INNSBDDL2019, held at Sestri Levante, Genova, Italy 16-18 April 2019, 2020, ISBN 978-3-030-16840-7
Publisher: Springer Nature Switzerland
DOI: 10.1007/978-3-030-16841-4_30

On high-precision L∞-stable IMEX schemes for scalar hyperbolic multi-scale equations

Author(s): Michel-Dansac, Victor; Thomann, Andrea
Published in: Recent Advances in Numerical methods for Hyperbolic PDE Systems. Selected talks of Numhyp 2019, 1, 2021, ISBN 978-3-030-72849-6
Publisher: Springer Nature Switzerland

Elliptic Curves of Nearly Prime Order

Author(s): Daniele Di Tullio, Manoj Gyawali
Published in: Intelligent Computing Proceedings of the 2021 Computing Conference, Volume 3, 2021, ISBN 978-3-030-80129-8
Publisher: Springer Nature Switzerland
DOI: 10.1007/978-3-030-80129-8_61

Introduction to Minlog

Author(s): Franziskus Wiesnet)
Published in: Proof and Computation, 2018
Publisher: World Scientific

Toposes of Monoid Actions

Author(s): Morgan Rogers
Published in: 2021
Publisher: arxiv.org