VIERI MASTROPIETRO

CURRICULUM VITAE

1)Personal Data

Name: Vieri Mastropietro
Place and date of birdth; Firenze, July 11 1966.
Citizenship: Italian

2)Education and positions

-1990 Laurea in Fisica, Roma La Sapienza (rel. G. Gallavotti)

-1990-1993 Dottorato in Fisica, Pisa (rel. G. Gallavotti)

-1993-1996 INDAM and CNR postdoc, Roma Tor Vergata

-1996-2000 Researcher in Mathematical Physics, Roma Tor Vergata

-2000 3 months Chercheur at CNRS-Ecole Politecnique, Paris

-2000-2012 Associate Professor in Mathematical Physics, Roma Tor Vergata

-2012-2024 Full Professor in Mathematical Physics, Universita' statale di Milano

- 2024 Full Professor in Mathematical Physics, Universita' di Roma La Sapienza

3) Prizes and honors

-)Member of the Accademia dei Lincei, Physics class

- Invited speaker al the
International Congress of Mathematicians ICM2010
Hyderabad, India

- Member of the Institute of Advanced Study, School of Math, Princeton (2022)

-Annales Poincare' Prize 2006 mathematical physics (with G.Benfatto and A.Giuliani)

-Annales Poincare' Prize 2018 probability (with A.Giuliani and F.Toninelli)

-ICMP 2018. Montreal Laudatio for Giovanni Gallavotti-Poincare' prize.

-Persico Prize of the``Accademia dei Lincei''
(1987 ed 1989)

4) Grants

- Principal investigator of PRIN
Mathematical Interacting Quantum Fields (MaIQuFi)
2022-2024 (250.806 E)

- Principal investigator of PRIN Mathematical Quantum Matter (MaQuMa) 2019-2022 (286000E)

-Senior member of ERC 2009
Starting Grant CoMBoS; Consolidator Grant 2016 UniCoSM

5) Activities

-Director of the PHD program in mathematical sciences of the university of Milan (2015-2021)

-Director of the Seminario Matematico e Fisico di Milano (2015-2018)

-Member of the Scientific Direction of the GNFM (Gruppo Nazionale Fisica Matematica) (2021-now)

-Member of the scientific commission of the math. department UNIMI and ROME2 (2006-2012)

6) Editorial activity

-Editor of Annales Henri Poincare'(Birkhauser) since
2008, section "Multiscale methods of Mathematical Condensed Matter"

-Managing Editor of the Milan Journal of Mathematics (Birkhauser) since 2015.

-Editor of Communications in Pure and Applied Analysis (2002-2010)

8) Research Papers:
27 in Communications in Mathematical Physics, 19 in Physical Review B,
12 in Journal of Statistical Physics
7 in Journal in Mathematical Physics
5 in Annales H. Poincare`
4 in Reviews in Mathematical Physics
3 in Physical Review Letters,
3 in Europhysics Letters,
3 in Journal of Physics A,
4 in Phys Rev D, 2 in J High Energy Physics
2 in Nonlinearity,
2 in Communications in Pure and Applied Analysis,
2 in Nuclear Physics B,
2 in Physica D,
1 in Physics Reports, 1 in Journal de Mathématiques Pures et Appliquées, 1 in Annali Scuola Normale, 1 in Phys Rev E,
etc; 3 books.

9) University Teaching

1996-2000 Meccanica Razionale (esercitazioni, Tor Vergata, Ingegneria)

2000-2012 Meccanica Razionale; Metodi e Modelli per la matematica applicata; Metodi Matematici. (titolare, Tor Vergata, Ingegneria)

2012-2022 Fisica Matematica 3 (Titolare, dip. Matematica, Milano, triennale)

2012-2022
Meccanica Statistica (magistrale , titolare, dip. Matematica, Milano)

2015-2022
Teoria Statistica dei Campi 1 e 2 (magistrale, titolare, dip. Fisica, Milano)

10) Advanced teaching

2005 Lecture Course on the
Renormalization Group, Heriot-Watt University, Edimburgo

2009 Lecture course on Renormalization Group,
University of Brasilia, Center of Condensed matter

2011, Summer school on current topics in
Mathematical Physics, ESI, Vienna,
Universality and Critical behavior in Luttinger and Dirac
liquids.

2019, Ravello GNFM school in Mathematical Physics.
9-14 September 2019. Renormalization Group and the universality problem

2023. SISSA, Trieste. Minicourse: Anomalies, Universality and Renormalization Group

2020, 2021 UNIMI; Dottorato,. Mathematics for QFT and Statistical Mechanics.

26-20 9 2024. Como Lake school. Rigorous Renormalization Group Analysis of Collective Phenomena in Fermionic Quantum Systems

1-\9 10 2025
Quantissima sur Oise
CY Advanced Studies, Neuville-sur-Oise.
Fine structure constant, anomalous magnetic factor and transport coefficients

11) V isits (last years)

15/4- 15/5 2002 School of Mathematics, Institute for Advanced Study, Princeton, USA.

25/3-6/4 2003 GeorgiaTech, Atlanta, US.

15/4-15/5 2003 School of Mathematics, Institute for Advanced Study, Princeton, USA.

1/9- 12/9 2003. Erwin Schroedinger Institute, Vienna

10/5/2005-30/5/2005 Heriot-Watt University, Edimburgo (2005)

27/11/2005- 23/12/2005, School of Mathematics,
Institute for Advanced Study, Princeton, US

17/10/2007-3/12/2007 Erwin Schroedinger Institute, Vienna

10/10/2008-31/10/2008, Rutgers University, New Brunswick,US

1/11 2009-15/11 2009, Brasilia University, Center of Condensed matter

17/11/2009-15/12 2009 Rutgers University,New Brunswick,USA

15/11- 15/12 2011 Institute for Advanced study, Princeton

7/4- 15/4 2013, GeorgiaTech, Atlanta, USA

15/4- 15/5 2013 Rutgers University, New Brunswick, USA

1/10- 30/10 2014 Short
term visiting professor, International Institute of Physics, Natal (Brasile)

16/12- 22/12/2014 Institute for Advanced studies, Princeton

11/10- 24/10/2016 Institute for Advanced studies, Princeton

30/4- 14/5/2017 Institute for Advanced studies, Princeton

1/12- 7 2017 Gatech Atlanta

17-14/1/2016. Tel Aviv University (Ron Pelled)

1/1-20/4/2022 Member, Institute for Advanced studies, Princeton

14/1-24/12/2024 Institute for Advanced studies, Princeton

12) Organized conferences (selection)

Program "Applications of the
Renormalization group" at tha Schroedinger Institut di Vienna (with H. Grosse, G. Gentile, G. Huisken) (2007)

Les Houches Summer school 2010 "Quantum
theory from small to large scales" (with J. Frohlich, W. de Roeck,
M. Salmhofer)

CIME School "Quantum many body systems" Cetraro 2010 (with A.Giuliani e J. Yngvason.)

international Conference LNF-CMTP "Quantum Field Theory aspects of Condensed Matter physics" Laboratori Nazionali di Frascati September 6-9 2011 (with M.Lombardo ed M. Vozmediano)

International Conference LNF-CMTP "Mechanics: Classical, Statistical and Quantum" Roma,
la Sapienza, June 2-5 2012 (with A. Giuliani e G.Gentile)

International Conference LNF-CMTP "Disordered Systems and Random Matrix Theory, Un. Roma 3
March 14-15, 2013 (with A. Giuliani and M. Lombardo)

Recent results and open problems in mathematical physics, 13-2-2015, GSSI, L'Aquila
(with E. Presutti, A. Giuliani)

Localization and reducibility
in Hamiltonian PDEs and Quantum Mechanics
Milano, December 16-18, 2015 (with Bambusi e Noja)

Section "Condensed Matter" at the International Conference of Mathematical Physics 2015, 27/7-1/8 2015 Santiago Cile (with S. Warzel).

Advisory Board Member and organizer of the session
Many body at QMATH13, 8,11 october 2016, Atlanta, USA.
(with G Berkolaiko,
R Frank,
B Nachtergaele,
M Ruskai,
S Warzel)

INdAM-CMTP-INFN Intensive trimester Mathematics and Physics at the Crossroads
Laboratori

Nazionali di Frascati-INFN and INdAM, Roma, Italy
June 6--September 30, 2016

Workshop Condensed Matter and Critical Phenomena
Laboratori Nazionali di Frascati-INFN, Italy, September 5-7, 2016
(with Giuliani e Pizzo)

Localization and reducibility
in Hamiltonian PDEs and Quantum Mechanics Unimi,
Milano, December 16-18, 2015

EMS – IAMP Summer School in Mathematical Physics
Universality, Scaling Limits and Effective Theories
July 11 – 15, 2016, Roma (Italy) (with Correggi, Giuliani Pizzo)

Quantum Transport and Universality
From Topological Materials to Quantum Hydrodynamics. Workshop, accademia dei Lincei 23-25 settembre (2019)
MATH 15, Sep 12-16 2022, UC DAVIS; organization of the session new Topics in Math Phys (with J Moore)

Mathematical Quantum Matter
9-11 2023, Unimi, Milano

15-18 10 2025 QFT at the crossroads between mathematics and Physics, La Sapienza Roma

13) Invited speaker (selection)

6-9/2000 Invited speaker a {\it International
Conference of Mathematical Physics ICMP2000},

18/12--20/12 2005.
Statistical Mechanics Conference", Rutgers University, New
Brunswick, USA. Anomalies and Ward Identities in lattice spin
models

9/4--15/4 2006. "The Rigorous
Renormalization Group", Oberwolfach, Germania. Non
perturbative anomalies in QFT

25/6--18/6
2006. Śth AIMS international conference", Poiters, Francia.
Renormalization Group approach to PDE

18/9-22/9, 2006 "III international conference on Exact
Renormalization Group", Lefkadfa (Grecia). Rigorous
construction of the Tomonaga model

14/12-20/12, 2006 "Conference of statistical physics", Trieste. Rigorous construction of the Ashkin-Teller model

12/11--18/11 2007. "Renormalization in
Quantum Field Theory, Statistical Mechanics and Condensed Matter",
ESI, Vienna. Schwinger-Dyson equations, Ward Identities and
anomalies in nonperturbative RG

27/3 2008.
Swiss Physical Society-Manep meeting", Ginevra.Proof
of Fermi liquid behavior in the 2D Hubbard model"

30/9-3/10 2008 "Quantum many-body systems:
Bose-Einstein condensation", Centre de Recherches Mathematiques
di Montreal. 2D Hubbard model on a the square and the
honeycomb lattice

5/10/2008 "Probability
session" (D.Brydges and A.Kenyon) ''American Mathematical Society
Western Section Meeting'' alla British Columbia University,
Vancouver. Extended scaling relation for planar spin models

6-10/10/2008 "The renormalization group and
statistical mechanics", Pacific Institute for Mathematical
Sciences, Vancouver. Rigorous Construction of the ground
state correlations of the Hubbard model on the honeycomb lattice

1-7/8/2009 International Conference of
Mathematical Physics, Prague.
Universality, Ising models, and the non renormalization of the
quantum anomalies.

16-18/6/2010
Renormalization: algebraic, geometric and probabilistic aspects,
Institut Camille Jordan (Lyon) Developments in the theory of
universality

26/8--30/8/2010 International
Congress of Mathematicians, Hyderabad.
Universality, Phase transition and extended scaling relations

28/5--1/6 2012 Quantum Many-Body Systems
CRM, Vancouver Universal properties of graphene

8/6--10/6 2012 Journee Jacques Magnen
Ecole Polytechnique, Parigi, Francia. The vanishing of Beta function by Ward Identities)

12/5-14/5 2013 Rutgers University, USA.
The 109th Statistical Mechanics Conference. Universal Conductivity Properties In Many Body Physics.

27/5-31/5 2013 Analytical aspects of mathematical Physics, ETH, Zurigo.
Universality Results in Statistical Physics

16/9-20/9 2013.International Conference on Applied Mathematics, Heraklion,
Universality results in statistical physics

5/5-6/5 2014
New frontiers for Majorana fermions from condensed to dark matter.
INFN Frascati National Laboratories. Majorana fermions and universality

1/9-5/9 2014
Selected Problems in Mathematical Physics
La Spezia. Localization in an interacting quasi periodic fermionic chain.

14/12-16/12 2014. Rutgers University, USA
The 112th Statistical Mechanics Conference.Localization in many body interacting quasi-periodic chain e
Laudatio for G. Gallavotti.

13/7-17/7 2015 "Quantum many-body systems, random matrices, and disorder" Schroedinger Institut, Vienna. Localization for interacting quasi periodic fermions.

5/6-18/6 2016 "Quantum non-equilibrium phenomena" International Institute of Physics, Natal, Brasil. Title; Localization of interacting fermions with quasi-random disorder

3/8-9/8 2016
"
Conference on Interactions and Topology in Dirac Systems" International Center Theoretical Physics, Trieste.
Title: Universal transport properties of interacting lattice Dirac systems

8-11 october 2016 Atlanta
QMath13: Mathematical Results in Quantum Physics.
Localization of Interacting Fermions in the Aubry-André Model

20-24 February 2017: Trieste Quantum Days. Sissa
Localization of interacting fermions with quasi-random disorder

7-9 May 2017 Rutgers University, USA
The 117th Statistical Mechanics Conference. Localization in coupled chain with quasi-random disorder

29 may-2 june 2017
Mathematical Aspects of Disordered Systems. ETH-Zurigo
MADS Workshop / Summer School
Localization of interacting fermions with quasi-periodic disorder

7 june-9 july 2017
Geometry of integrable systems. Sissa; Trieste
Time evolution of a solvable quantum many body system

10 july-14 july 2017
Conference on many body localization. ICTP; Trieste
Interacting Fermions with Quasi-random Disorder: A Quantum KAM

6 july-10 november 2017
The Message of Quantum Science II. ZIF, Bielefeld
Universality in Dirac materials

24-28 march 2018 Current Problems in theoretical Physics, Vietri (Italy).
Anomalies, Constructive QFT
and Universality in solid state
physics

23-28 July 2018. ICMP 2018. Montreal (Ca).
Laudatio for Giovanni Gallavotti-Poincare' prize.

3-7 September 2018, Newton Institute.
Renormalisation in quantum field theory and in stochastic partial differential equations: a gentle introduction and some recent developments. Cambridge (UK).
Universality in solid state physics and Constructive Renormalization Group

3-5 October 2018,
Critical Phenomena in Statistical Mechanics and Quantum Field Theory. Princeton Center for
Theoretical Physics, Princeton (US).
Small Divisors, Diophantine Numbers and Interacting Quantum
Many Body Systems

April 8 - 12 2019,
Many-body theory, random operators and matrices matrices.
Mittag Institute, Stoccolma.
Persistence of gaps in the interacting anisotropic Hofstadter model

12.14 May 2019,
121st Statistical Mechanics Conference, Rutgers, New Brunswik
Universality and Renormalization Group for Hall insulators

20.23 May 2019,
Quasiperiodicity and Fractality in Quantum Statistical Physics.
Rutgers University, New Brunswik
Persistence of gaps in the anisotropic Hofstdter model

3-7 June 2019,
Ergodicity breaking in quantum physics. Galileo Gailei institut
Persistence of gaps in the anisotropic Hofstdter model

23-25 September 2019
Quantum Transport and Universality
From Topological Materials to Quantum Hydrodynamics
Acccademia dei Lincei Roma
Anomaly non renormalization in interacting weyl semimetals

Emergent CFTs in statistical mechanics.
29 Jaunary 2020, Amphi Curie, Paris.
Universality in Ising, Vertex, Dimers and beyond.

5-9 July 2021 ECT Trento Relativistic fermions in flatland

SISSA – Trieste, September 27 – October 1, 2021 Exact Quantisation

26-27 1 2023,
Quantum Transport: Disorder, Interactions and Integrability,Lincei, Roma
Quantum Transport and small divisors

6-8, 2, 2023
Universality in Condensed Matter and Statistical Mechanics, Roma3. Anomaly cancellation condition

26-28 6 2023
Frontiers in Mathematical Physics
CY Advanced Studies (CY Cergy Paris Université).
on-Renormalization of the Anomalies and Universality in Transport Coefficients

27–30 mag 2024
Quantum Statistical Mechanics - MAQM. University of Toulose
Quasi periodic 2D Ising and Weyl semimetals

23-26 July 2024
2024 Plenary speaker
American Mathematical Society-UMI conference Palermo. Rigorous Renormalization Group.

9-13 9 2024; Bonn,Hausdorff center.
Recent Developments in disordered systems. Quasi periodic 2D Ising model.

15-15 December 2024 Rutgers University, USA
The 127th Statistical Mechanics Conference. Fine structure constant, anomalous magnetic factor and transport coefficients

18 10 2025
QFT at the crossoroads, Rome. Gyromagnetic factor and anomaly cancellation via convergent expansions

14)= Seminars (selection, since 2002)}

24/4 2002 ”Statistical mechanics seminar” at the Institute for Advanced Studies, Princeton. Title: Renormalization Group and Ward identities for interacting fermionic systems.

20/5 2005. Durham University, UK. Title: Renormalization Group construction of quantum field theories

30/4 2008 Colloquium in Theoretical physics at the Albanova and Nordita universities,Stockholm. Title:Luttinger and Fermi liquids: a Constructive Renormalization Group approach

8/10/ 2008 University of British Columbia probability seminar. The Hubbard model on the square and honeycomb lattice by functional integral methods

16/10 2008 Mathematical Physics seminar, Rutgers university. Extended scaling relations for planar lattice spin models

26/3 2009 Instituto de Ciencia de Materials de Madrid. Rigorous construction of ground state correlation in graphene

29/9/2009 ETH, Zurich. Theoretical Physics seminar. Universal relations and Ward Identities in interacting Ising models, spin chains and graphene models

1/12/2009 Princeton University, Mathematical Physics seminar. Universal Relations for Non Solvable Statistical Models

3/12/2009 Rutgers university, Mathematical Physics seminar . Developments in the theory of universality

7/12/2011 Princeton University, Statistical Physics seminar. Universal conductivity in graphene: some rigorous result and open problems

8/12/2011 Rutgers university, Mathematical Physics seminar . Universal conductivity in graphene

18/4/2012 KTH/Nordita/SU seminar in theoretical physics. Stockolm.
Universal conductivity
in graphene

12/4/2013 GeorgiaTech, Atlanta,USA Universal Conductivity Properties In Many Body Physics

6/4/2013 MATH PHYS Seminar, Princeton university, USA. Universal finite size corrections and the central charge in non solvable Ising models

12/4/2013 GeorgiaTech, Atlanta,USA
Universal Conductivity Properties In Many Body Physics

16/4/2013 MATH PHYS Seminar, Princeton university, USA.Universal finite size corrections and the central charge in non solvable Ising models.

25/4/2013 MATH PHYS Seminar, Rutgers university, USA
Conductivity In The XXZ Heisenberg Chain With Next To Nearest Neighbor Interaction

9/5 2014 The BFZ Seminar in Analysis - Basel, Fribourg, Zurich, Zurich University, Universality in graphene and Weyl semimetals.

20/10/2014
International Institute Physics Natal, Brasile.
Universal Conductivity Propeties in
Graphene and Weyl semimetals

18/2/2015
Height fluctuations for interacting dimers , INFN Theory group seminars, Firenze

12/2/2015.
Small divisors in an interacting fermionic quasi-periodic chain.
Gran Sasso Science Center GSSI, L'Aquila

21/10 2015.
Localization-Delocalization transition in an interacting quasi-periodic fermionic chain.
ICTP/SISSA Statistical Physics seminar, ICTP, Trieste

19/5/2016
Zurich University
Localization in interacting fermionic chain with quasi random disorder

18/10/2016
Princeton Mathematical Physics Seminar. Localization of interacting fermions with quasi random disorder

20/10/2016
Rutgers Mathematcal physics conference
"Steady States in the non local Luttinger Model"

22/05/2017 Sissa
Mathematical Colloquium: Localization of interacting quantum particles with quasi-random disorder

Horowitz seminar on Probability, Ergodic Theory and Dynamical Systems at Tel Aviv University.
Rigorous Renormalization Group approach to universality in spin and dimer models

Geneve university. Math Phys seminar
Rigorous Renormalization Group approach to universality in spin and dimer models
Renormalization Group approach to universality in non-integrable systems

20 /3/2022An Introduction to Grassmann integrals with applications to statistical mechanics-
Institute for Advanced Study, Princeton

29/3/2022
Mathematical Physics Seminar, Princeton university, "Anomaly non-renormalization on a lattice"

10/5/2022
IAMP seminar. Anomalies and non-perturbative QFT

6/4/2023 Math Phys seminar, Gatech Atlanta.
Vanishing of the anomaly in lattice chiral gauge theory

Third Mission

ScienzaNuova, Merano, July 2017-2023,
Dialogues at the Border Between Science and Philosophy. Invited Conferences open to public on fundamental
topic of science like time and symmetries. Some titles: "La freccia del tempo";"Modello Standard e Magemagics"; "Fisica ed Estetica".

Dialogo sui fondamenti della probabilita' (with A. Vulpiani
and E. Regazzini), Bocconi, 3/16/23

5/ 11 /2023 Seminar at the Architecture department, Rome3. Fisica Matematica ed estetica.