Francesca Arici

Personal InformationWork address Mathematical Institute, Leiden University, Niels Bohrweg 1, 2333 CA Leiden, The Nether-

landsemail f.arici@math.leidenuniv.nl

Homepage https://pub.math.leidenuniv.nl/~aricif2/

EducationSeptember 2015 Ph.D. in Mathematical Physics, SISSA, Trieste, Italy, awarded cum laude.

Title of the dissertation: Principal circle bundles, Pimsner algebras and Gysin Sequences.Advisor: Prof. Giovanni Landi (Univerisità degli Studi di Trieste)

May - July 2015 Visiting PhD student, Institut de Mathématiques de Jussieu, Paris, France.Host: Prof. G. Skandalis

April 2011 Master degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy,awarded 110/110 cum laude.Thesis title: Differential Operators on the Noncommutative Torus.Advisors: Prof. Giuseppe Nardelli, Prof. Dorothea Bahns, Prof. Silvia Pianta.

2009 - 2010 Guest Student, Georg August Universität Göttingen, Göttingen, Germany.2009 Erasmus exchange program, Georg August Universität Göttingen, Göttingen, Germany .

October 2008 Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy,awarded 110/110 cum laude.Thesis title: Elliptic Curves.Advisors: Prof. Silvia Pianta, Dr. Luca Giuzzi.

EmploymentSep 2019 – Assistant Professor in Mathematics, Mathematical Institute, Leiden University, The

Netherlands.Apr – Aug 2019 NWO VENI fellow, IMAPP Radboud Universiteit Nijmegen, The Netherlands.Jan – Mar 2019 Postdoctoral Researcher, Non-linear algebra group, Max Planck Insitute for Mathematics

in the Sciences, Inselstraße 22, 04013 Leipzig, Germany.Feb – Dec 2018 Researcher and Scientific Outreach Manager (on a part-time basis), Max Planck

Insitute for Mathematics in the Sciences, Inselstraße 22, 04013 Leipzig, Germany.Oct 2015 – Jan 2018 Postdoctoral fellow in Mathematical Physics, IMAPP Radboud Universiteit Nijmegen,

The Netherlands.Affiliated to the NWO Vidi grant Noncommutative geometry and quantum lattice gauge fields ofProf. W. D. Van Suijlekom.

Scientific InterestsNoncommutative Geometry, K-Theory and Index Theory, Hilbert C∗-Modules, Cuntz–Pimsner Algrebras, Quantum Principal Bundles, Groupoid C∗-algebras, Gauge Theories.

B f.arici@leidenuniv.nl

Publications and preprintsPeer-reviewed Publications

[1] Francesca Arici, Simon Brain, Giovanni Landi The Gysin Sequence for Quantum LensSpaces, J. Noncommut. Geom. 9 (2015), 1077–1111.

[2] Francesca Arici, Jens Kaad, Giovanni Landi Pimsner algebras and Gysin sequences fromprincipal circle actions, J. Noncommut. Geom. 10 (2016), 29–64.

[3] Francesca Arici, Ruben Stienstra, Walter D. van Suijlekom, Quantum lattice gauge fieldsand groupoid C*-algebras , Ann. Henri Poincaré 19 (2018), 3241-–3266

[4] Francesca Arici, Daniel Becker, Chris Ripken, Frank Saueressig, Walter D. van Suijlekom,Reflection positivity in higher derivative scalar theories, J. Math. Phys. 59 (2018), 082302.

[5] Francesca Arici, Adam Rennie, The Cuntz–Pimsner extension and mapping cone exactsequences , to appear in Math. Scand.

[6] Francesca Arici, Francesco D’Andrea, Piotr M. Hajac, Mariusz Tobolski, An equivariantpullback structure of trimmable graph C*-algebras , arXiv:1712.0810v3, submitted.

Peer-reviewed Conference Proceedings[7] Francesca Arici, Francesco D’Andrea, Giovanni Landi, Pimsner algebras and circle bundles,

Operator Theory: Advances and Applications 252 (2016), 1–25.[8] Francesca Arici, Gysin exact sequences for quantum weighted lens spaces, 2016 Matrix

Annals, Matrix Book Series vol 1 (2018).[9] Francesca Arici, Piotr M. Hajac, Mariusz Tobolski, Associated noncommutative vector

bundles over the Vaksman–Soibelman quantum complex projective spaces, to appear inJounal of Noncommutative Geometry.

[10] Francesca Arici and Bram Mesland, Toeplitz Extensions in Noncommutative Topology andMathematical Physics, In: Kielanowski P., Odzijewicz A., Previato E. (eds) GeometricMethods in Physics XXXVIII.

Preprints[11] Francesca Arici, Baukje Debets, and Karen Strung, Pure infiniteness and paradoxicality for

graph C*-algebras, arXiv:1907.05215, submitted.[12] Francesca Arici, Francesco Galuppi, and Tatiana Gateva-Ivanova, Veronese and Segre

morphisms between non-commutative projective spaces, arXiv:2003.01681, submitted.

Reports[13] Francesca Arici, Gysin sequences for principal circle bundles via Cuntz-Pimsner algebras,

Oberwolfach reports 6 (2016), 290–292

Popular science articles[14] Francesca Arici, Domenico Monaco KK-theory, Gauge Theory and Topological Phases,

Nieuw Archief voor Wiskunde 5/18, 257–262, 2017[15] Francesca Arici, Evgenios T. A. Kakariadis, Nadia S. Larsen Cuntz–Pimsner cross-

pollination, to appear in: Nieuw Archief voor Wiskunde

Grants, Awards, and Fellowships2019 - 2022 NWO (Netherlands Organisation for Scientific Research) Veni Grant, "The noncom-

mutative Geometry of Sphere Bundles", Principal Investigator.Budget: 250k euro.

2018 DFG (German Research Foundation) Initiation of International Collaboration Grant,"Quantum Fäserbundel und ihre C*-Algebren".Travel grant.

2016 Short-term scientific mission, COST QSPACE Netork.Travel grant.

2011 - 2015 Ph.D. Scholarship, SISSA, Trieste, Italy.Awarded for four years.

B f.arici@leidenuniv.nl

2015 Erasmus Placement Fellowship.Awarded for two months

2009 Scholarship UCSC International Thesis Program, Università Cattolica del Sacro Cuore,Brescia, Italy.

2009 Erasmus Scholarship.Awarded for 6 months.

2005 - 2008 Scholarship for the best student in mathematics, Banca Lombarda, Italy.Awarded for three years.

Teaching ExperienceLecturer

2019-2020 Mathematical Reasoning, Leiden University College, Leiden University (NL).2017–2018 C*-algebras and representation theory, Master in Mathematics, Radboud University

Nijmegen (NL).Jointly with dr. T. Crisp.

Spring 2014 Basics of Noncommutative Geometry, Ph.D. course in Mathematical Physics, SISSA,Trieste (IT), Course taught by: dr. Jens Kaad.Two lectures on spectral triples.

Teaching Assistant2015 Istituzioni di Fisica Matematica - mod B (General relativity for mathematicians),

Master in Mathematics, SISSA and Università degli Studi di Trieste (IT).Reference: Giovanni Landi, landi@units.it

2013–2015 Istituzioni di Fisica Matematica - mod A (Foundations of Mathematical Physics),Master in Mathematics, SISSA and Università degli Studi di Trieste (IT).Reference: Alessandro Tanzini, tanzini@sissa.it

2012–2013 Istituzioni di Fisica Matematica - mod A (Foundations of Mathematical Physics),Master in Mathematics, SISSA and Università degli Studi di Trieste (IT).Reference: Ludwik Dąbrowski, dabrow@sissa.it

SupervisionJuly 2020 B.Sc. Thesis, Line van Nifterik, Algebraic topology and real division algebras: The

1,2,4,8 Theorem., Leiden University.July 2020 B.Sc. Thesis, Stijn Velstra, The Berry connection and the Novikov problem: trajectories

of Bloch electrons (double Bachelor Mathematics and Physics)., Leiden University.July 2018 M.Sc. Thesis, B. Debets, Properties of graph C*-algebras in the Cuntz–Krieger, Cuntz–

Pimsner and groupoid models, Radboud Universiteit Nijmegen.Cosupervised with Prof. N. P. Landsmann and dr. Karen Strung.

Other Teaching Experience2014–2015 Training for mathematics Olympiads (Coppa Aurea), Università degli studi di Trieste

(IT).2012–2013 Training for mathematics competitions (Disfida Matematica), Università Cattolica

del Sacro Cuore, Brescia (IT).2010–2011 Training for mathematics competitions (Disfida Matematica), Università Cattolica

del Sacro Cuore, Brescia (IT).2008–2009 Training for mathematics competitions (Disfida Matematica), Università Cattolica

del Sacro Cuore, Brescia (IT).

Organisatorial ExperienceWorkshops and Conferences

28–30 October 2019 Meeting of the German Chapter of EWM, Max Planck Institute for Mathematics inthe Sciences, Leipzig (DE).

B f.arici@leidenuniv.nl

16–20 September 2019 Workshop Noncommutative manifolds and their symmetries, Scalea (IT) .11–12 August 2018 Workshop Young Women in C∗-algebras, Leuven University (BE).25–29 June 2018 Lorentz Center Workshop Cuntz–Pimsner cross pollination, Leiden (NL).1 December 2017 KK-day, Radboud Universiteit Nijmegen (NL).5–6 August 2017 Workshop Young Women in C∗-algebras, Copenhagen (DK).

29 September–October 22015

Workshop NCG2015: Hilbert Modules and Index Theory , Trieste (IT).

26–28 August 2014 Workshop NCG2014: K-Homology and Graph Algebras, Trieste (IT).8–12 April 2013 Planckland – Quantum Geometry and Matter , Trieste (IT).

Seminars2016 – 2017 Reading seminar on quantum groups, Radboud Universiteit Nijmegen (NL).

Run jointly with Prof. H. T. Koelink.2012– 2015 Co-organizer, Noncommutative Geometry Seminar , SISSA, Trieste (IT).

A selection of recent and upcoming talks and invitationsUpcoming

February 2018 Conference Women at the intersection of mathematics and theoretical physics,University of Geneva, Switzerland.

April 2018 Algebraic and Geometric Aspects in QFT, Freiburg, Germany.June 2018 Topological Phases of Interacting Quantum Systems, Casa Matemática Oaxaca,

Mexico.July 2018 XXXVIII Workshop on Geometric Methods in Physics, Białowieża, Poland.

August 2018 Conference New Geometry of Quantum Dynamics, Fields Institute, Canada.Past

November 2018 Thematic Program Bivariant K-theory in Geometry and Physics, Erwin SchrödingerInstitute, Vienna, Austria.Contribution: Gysin exact sequences from Cuntz–Pimsner extensions

November 2018 WOA (Women in Operator algebras), BIRS, Banff, Canada.Collaborative research project Quantum principal bundles and their C*-algebras.

July 2018 Non-commutative Geometry, Index Theory and Mathematical Physics, MFO, Ober-wolfach, Germany.

June 2018 Operator algebra seminar, University of Southern Denmark, Odense, Denmark.Contribution: Circle and sphere bundles in noncommutative geometry

May 2018 NCGOA 2018 Spring Institute, Westfälische Wilhelms-Universität Münster, Germany.Contribution: An operator algebraic approach to the topology of sphere bundles

April 2018 Geometry seminar, Technische Universität Dresden, Germany.Contribution: Circle bundles and sphere bundles in noncommutative geometry

April 2018 Bayrischzell Workshop Hopf Algebras in Noncommutative Geometry, Bayrischzell,Germany.

February 9, 2017 Seminar, Università Cattolica del Sacro Cuore, Brescia, Italy.Contribution: Algebre di grafi.

December 19, 2017 Quantum Flag Manifolds Day, Radboud Universiteit Nijmegen,The Netherlands.Contribution: Noncommutative sphere bundles: beyond Cuntz–Pimsner algebras.

Novemeber 28, 2017 Oberseminar Operatoralgebren, Westfälische Wilhelms-Universität Münster, Germany.Contribution: An operator algebraic approach to the topology of sphere bundles

August 22, 2017 HIM Workshop K-theory in topology and non commutative geometry, HausdorffResearch Institute for Mathematics, Bonn, Germany.Contribution: Sphere bundles in noncommutative geometry

B f.arici@leidenuniv.nl

June 2, 1017 Workshop Foundational and Structural Aspects of Gauge Theory, MITP, Mainz,Germany.Contribution: A noncommutative approach to the quantisation of lattice gauge theories

May 11, 2017 Workshop Higher Geometric Structures along the lower Rhine, Radboud UniversiteitNijmegen,The Netherlands.Contribution: Quantum lattice gauge theories and groupoid C*-algebras

April 26, 2017 Analysis seminar, Norwegian University of Technology, Trondheim, Norway.Contribution: Exact sequences for Cuntz-Pimsner algebras and weighted lens spaces.

March 22, 2017 Weekly Operator algebra seminar, University of Copenhagen, Denmark.Contribution: Cuntz-Pimsner algebras, mapping cones and weighted lens spaces.

March 21, 2017 Operator algebra seminar, University of Southern Denmark, Odense, Denmark.Contribution: Exact sequences for Cuntz-Pimsner algebras and weighted lens spaces.

March 10, 2017 Workshop KK-theory and topological phases, Lorentz Center, Leiden, The Netherlands.Contribution: A NCG approach to the quantum lattice gauge theories and their continuum limit.

March 2, 2017 Workshop Noncommutative Geometry and Application, ICTP, Trieste, Italy.Contribution: Quantum lattice gauge theories and their continuum limit, a noncommutativeapproach.

February 22, 2017 Seminar, Università Cattolica del Sacro Cuore, Brescia, Italy.Contribution: Algebre noncommutative e sistemi dinamici.

January 12, 2017 Colloquium of the Graduiertenkolleg 1493, Goettingen, Germany.Contribution: Noncommutative line bundles and gauge theories.

November 29, 2016 GQT School and Colloquium, Den Dolder, The Netherlands.Mini-course Noncommutative geometry and gauge theories (together with W. D. van Suijlekom).

November 2, 2016 ANR Singstar and GDRGNC Meeting Géométrie non commutative et applications,Metz, France.Contribution: Groupoids in lattice gauge theories.

October, 2016 Noncommutative Index Theory, Simons semester Noncommutative Geometry: thenext generation, IMPAN, Warsaw, Poland.Contribution: Cuntz-Pimsner algebras, mapping cones and weighted lens spaces.

August 11, 2016 IMIA Operator Algebra and Noncommutative Geometry Seminar, University ofWollongong.Contribution: Quantisation of lattice gauge fields using noncommutative geometry.

July 25, 2016 Program Refining C∗- algebraic invariants for dynamics using KK-theory, MATRIXResearch Institute, Melbourne, Australia.Contribution: The Cuntz-Pimsner extension and mapping cone exact sequences.

July 5, 2016 INdAM meeting Contemporary Trends in the Mathematics of Quantum Mechanics,INdAM Headquarters, Rome, Italy.Contribution: Quantisation and reduction of lattice gauge fields, a non-commutative approach.

May 4, 2016 GREFI-GENCO Meeting Spectral Triples in Noncommutative Geometry, RiemannInternational School of Mathematics, Varese, Italy.Contribution: Cuntz-Pimsner algebras, exact sequences and mapping cones.

April 5, 2016 Conference Gauge Theory and Noncommutative Geometry, Radboud UniversiteitNijmegen.Contribution: Cuntz-Pimsner Algebras and Mapping Cone Exact Sequences.

February 13, 2016 Oberwolfach mini-workshop Operator Spaces and Noncommutative Geometry inInteraction, NWO Oberwolfach, Germany.Contribution: Gysin sequences for principal circle bundles via Cuntz-Pimsner algebras.

Outreach2012–2015 Outreach program SISSA for schools.

Short presentations and interactive seminars on accessible topics in mathematics and mathematicalphysics, like knot theory, graphs, periodic and aperiodic tilings, conservation laws

B f.arici@leidenuniv.nl

Events2017 Radboud In’to Stories, Winner.2016 Famelab Nijmegen and Radboud Talks, Finalist, link to video.2015 Famelab Trieste, Local finalist, link to video.2014 Famelab Trieste, Local finalist, link to video.

Training Courses2017 Workshop Storytelling , Radboud in’to Languages, The Netherlands.2017 Spring Symposium Women in the media, LNVH, The Netherlands.2016 Pitch! workshop, Radboud in’to Languages, The Netherlands.2015 Symposium Science in the media, Halkes Network, Radboud Universiteit Nijmegen,

The Netherlands.2014 Training Course Science Dialogues, SISSA Medialab, Trieste, Italy.

Other professional activitiesService

since 2018 EWM, European Women in Mathematics, Deputy Member of the Standing Committee.since 2017 EWM, European Women in Mathematics, Newsletter Editor.

2017 EWM-NL, European Women in Mathematics, The Netherlands, Media Coordinator.Reviewer forJournal of Geometry and Physics, Münster Journal of Mathematics, New York Journal ofMathematics, MathSciNet Reviews, ZBMath Reviews

Professional AffiliationsCOST Network QSPACE, Quantum Structure of Spacetime , Europe.EWM, European Women in Mathematics.EWM-NL, European Women in Mathematics, The Netherlands.GNFM, Istituto Nazionale di Alta Matematica, Italy.IAMP, International Association of Mathematical Physics.

Languagesitalian nativeenglish fluent Cambridge First Certificate(B2), August 2005german fluent Mittelstufe Prüfung(C1), June 2005dutch fluent (C1)french passive

B f.arici@leidenuniv.nl