"Philosophy is written in this grand book, the
universe, which stands continually open to our gaze. But the
book cannot be understood unless a person first learn to
comprehend the language and read the letters in which it is
composed. It is written in the language of mathematics, and
its characters are triangles, circles and other geometric
figures without which it is humanly impossible to understand a
single word of it. Without these, one wanders about in a dark
labyrinth" (original Italian text: "La filosofia e' scritta in questo grandissimo libro
che continuamente ci sta aperto innanzi a gli occhi (io dico
l'universo), ma non si puo' intendere se prima non s'impara a
intender la lingua, e conoscer i caratteri, ne' quali e'
scritto. Egli e' scritto in lingua matematica, e i caratteri
sono triangoli, cerchi, ed altre figure geometriche, senza i
quali mezi e' impossibile a intenderne umanamente parola;
senza questi e' un aggirarsi vanamente per un'oscuro
laberinto'') G.Galilei
"If an idea is
beautiful, it will very llkely be also true"
P.A.M.Dirac
"It from
Bit" J.A.Wheeler
"A theory is
something nobody believes, except the person who made it. An experiment is something everybody believes,
except the person who made it."
"Just do what you
want to do and don't pay any attention to anything else. Never
in my career have I spent five minutes doing something I
didn't want to be doing"
P.Feyerabend
"... to reach out
in my own way to the things I wished to learn, rather than
relying on the notions of the consensus, overt or tacit,
coming from a more or less extended clan of which I found
myself a member, or which for any other reason laid claim to
be taken as an authority ... It is in this gesture of 'going
beyond,' to be something in oneself rather than the pawn of a
consesus, the refusal to stay within a rigid circle that
others have drawn around one - it is in this solitary act that
one finds true creativity" A.Grothendieck
"Learn as if you
should live forever and live as if you should die tomorrow''
M.Gandhi
Welcome!
My name is Paolo
Bertozzini and I am a mathematical-physicist.
I currently support myself teaching at the Department of Mathematics and
Statistics of the Faculty of Science and
Technology of Thammasat
University in Bangkok - Thailand.
Here below You will find some (hopefully useful)
detailed information on my work, interests, hobbies and life in
Thailand :-)
Thanks for visiting!
Contact Information
University Address:
Dr. Paolo Bertozzini
Room LC3-220-07, Department of Mathematics
and Statistics
Faculty of Science and
Technology
Thammsat University - Rangsit
Campus
N. 99 Pahonyotin Road, Moo
18
Khlongneung, Khlongluang, Pathumthani
12121
Thailand
Home Adddress:
Dr. Paolo Bertozzini
Room 819, 8th Floor, Condominum
A-3
Asian Games Village
Thammasat University - Rangsit
Campus
N. 99 Pahonyotin Road
Khlongneung, Khlongluang, Pathumthani
12121
Thailand
Tomita-Takesaki's Modular Theory
[MSC-class: 46L51-46L10]
Mathematical Foundations of Quantum
Physics and Quantum Gravity
(Rovelli's Relational Quantum Mechanics, Isham's History
Projection Operator Quantum Theory, Thermal Time Hypothesis)
[MSC-class: 81P10-03G12]
Category Theory in Functional Analysis
and Quantum Physics {MSC-class: 18D05,46M15,
81R99}
Other Fields of Interest:
Operator
Algebras
and
Algebraic Quantum Field Theory [MSC-class:
46L60-81T05]
Categories,
Topoi,
Linear
Logic [MSC-class: 03G30-03B47]
Clifford
Algebras,
Spin
and Twistor Geometry [MSC-class: 81R25-53C27-15A66]
News
(seminars-talks-conferences):
Non-commutative
Gelfand-Neumark Duality,
Mahidol University International College,
Salaya, Bangkok, Thailand, 28 March 2018,
State-Induced
Modular Covariance and Spectral Space-Time, "Workshop on Mathematical Physics",
TCP Group,
King Mongkut University of Technology Thonburi, Bangkok,
Thailand, 25 March 2018,
Spectral
Geometries for Some Diffeologies, Noncommutative
Index Theory, Simons Semester "Noncommutative Geometry The
Next Generation",
Banach Center, IMPAN, Warsaw, Poland, 28 October 2016 [link]
Beyond
2-C*-categories, INdAM CMTP INFN Trimester
"Mathematics and Physics at the Crossroads", INFN Frascati,
Italy, 23 June 2016 [link]
Categorical
Operator
Algebraic
Foundations
of Relational Quantum Theory, Epistemology and
Philosophy Section, Symposium "Frontiers of Fundamental
Physics 14" FFP14,
Aix Marseille University, Marseille, France, 17 July 2014 [link]
Lo
Spazio, il Tempo, il Multiverso ed il Nulla ... Verso la
Gravita' Quantistica ..., "I Martedi' d'Estate", Casa
Museo Bendandi, Faenza, Italy, 01 July 2014 (in Italian) [link]
Higher
Categories of Operator Algebras, Topological Quantum
Field Theory Seminar, Instituto Superior Tecnico, Lisboa,
Portugal, May 26, 2014 [link]
Operator
Algebraic
Structures for Quantum Gravity, Department of
Physics, Florida Atlantic University, Boca Raton, USA, 19 May
2014
Quantum
Mathematics for Quantum Physics, Department of
Physics, University of Mississippi, Oxford, USA, 30 April 2014
[link]
Categorified
Functional Analysis, Analysis Seminar, Department of
Mathematics, University of Mississippi, Oxford, USA, 29 April
2014
Non-commutative
Strict
Higher Categories, Non-commutative Geometry Seminar,
California Institute of Technology, Pasadena, USA, 21 April
2014 [link]
Hypermatrices
and Finite C*-categories, AMM 2014, Thammasat
University, A-One Hotel, Pattaya, Thailand, 20-21 March 2014
A Higher
C*-categorical Formalism for Relational Quantum Theory,
Loops 13, Perimeter Institute, Waterloo, Canada, 26 July 2013
Higher
C*-categories with Non-commutative Exchange, Category
Theory 2013, Macquarie Universtiy Sydney, 11 July 2013 [link]
Spectral
Geometries
for Some Diffeologies
(slides of the talk at the conference "Noncommutative Index
Theory", Banach Center IMPAN, Warsaw, Poland, 28 October 2016)
Higher
Categories
of Operator Algebras (slides of he talk at the
"Topological Quantum Field Theory Seminar", Instituto Superior
Tecnico, Lisboa, Portugal, 26 May, 2014)
A "Farang" Guide to Pure Mathematics Research
in Thailand (not functional now ... coming soon) this is a very preliminary attempt
to provide, to foreign mathematicians interested in
collaboration with Thai mathematician, a small database of
researchers in *pure mathematics* and some coordinates. Interesting
web-sites in Non-commutative Geometry
The
n-category Cafe' (blog mantained by John Baez, Urs Schreiber,
David Corfield, Alexander Hoffnung, John Huerta, Tom Leinster,
Emily Riehl, Mike Shulman, Simon Willerton, Quiaochu Yuan)