Publications:
  
    Paolo Bertozzini
    Mathematical Physics in Thailand
    News Bulletin of the International Association of Mathematical Physics (IAMP) 31 January (2017):17-24
    url: http://www.iamp.org/bulletins/Bulletin-Jan2017-print.pdf  (short published version)
    mp-impa-sea-02-arxiv.pdf
(extended version, submitted on 15.01.2017, rejected/censored by arXiv) 


    Paolo Bertozzini
    Categorical Operator Algebraic Foundations of Relational Quantum Theory
    Proceedings of Science PoS(FFP14):206 (2015) 6 pp 
    url: http://pos.sissa.it/archive/conferences/224/206/FFP14_206.pdf
    http://arxiv.org/abs/1412.7256 (arXived version: 23 December 2014)


    Paolo Bertozzini, Chatchai Putthinrugroj
    Hybrid Categories
    Proceedings of AMM2014,
"19th Annual Meeting in Mathematics (2014)" 138-147 Thammasat University, A-One Hotel Pattaya, Thailand, March 20-22 2014 


    Paolo Bertozzini, Kasemsun Rutamorn
    Krein C*-modules
    Chamchuri Journal of Mathematics 5:23-44 (2013)
    Proceedings of the AMM 2013 Chulalongkorn University, Bangkok, Thailand
   
url: http://www.math.sc.chula.ac.th/cjm/content/kre%C4%ADn-c-modules
    Matthematical Reviews: MR3166396
    Zentralblatt MATH:
.    
    http://arxiv.org/abs/1409.1343 (arXived version: 05 September 2014)    
    (submitted version for AMM 2013: 25 April 2013; revised accepted version: 13 December 2013)


    Paolo Bertozzini, Frederic Jaffrennou
    Remarks on Morphisms of Spectral Geometries
    East West Journal of Mathematics 15(1):15-24 (2013)
    Proceedings of ICMA-MU 2013 International Conference in Mathematics and Applications, Centra Government Complex, Bangkok, Thailand, 19-21 January 2013, 51-58
    url: http://eastwestmath.org/index.php/EWM/article/view/308
    Matthematical Reviews:
 MR3184360
    Zentralblatt MATH:
Zbl 1307.46056
    
http://arxiv.org/abs/1409.1342 (arXived version: 05 September 2014)


    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
    Enriched Fell Bundles and Spaceoids 

    in: "Noncommutative Geometry and Physics 3" 283-297 (2013)
    "Proceedings of the Noncommutative Geometry and Physics 2008, on K-theory and D-Brane'', Shonan Village Center, Japan, 18-22 Februrary 2008
    "Proceedings of the RIMS Thematic Year 2010 on Perspectives in Deformation Quantization and Noncommutative Geometry'', Kyoto University, Japan, 1 April 2010 - 31 March 2011
    Editors: Giuseppe Dito, Motoko Kotani, Yoshiaki Maeda, Hitoshi Moriyoshi, Toshikazu  Natsume
    Keio COE Lecture Series on Mathematical Science 1 World Scientific
    Mathematical Reviews: MR3098595
    Zentralblatt MATH: Zbl 1292.81128
    http://arxiv.org/abs/1112.5999 (arXived version: 26 November 2011)
    (original version; 30 November 2009,
[pdf])


    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul,
    Categorical Non-commutative Geometry
    "Algebra, Geometry, and Mathematical Physics 2010" 
    Journal of Physics: Conference Series 346:012003 (2012)
    doi: 10.1088/1742-6596/346/1/012003

   
http://arxiv.org/abs/1409.1337 (arXived version: 05 August 2014)
    (original version:
31 January 2011 [pdf]; published version: 10 February 2012)


    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
    A Remark on Gel'fand Duality for Spectral Triples
    Bullettin of the Korean Mathematical Society, 48, n. 3, 505-521 (2011)
    doi: 10.4134/BKMS.2011.48.3.505 
    Matthematical Reviews:
 MR2827762
    Zentralblatt MATH:
Zbl 1223.46064
    http://arxiv.org/abs/0812.3584v1 (first arXived version: 18 December 2008)
   
http://arxiv.org/abs/0812.3584v2 (second arXived version: 26 December 2011)  
    (original version: 22 May 2005; updated version: 18 December 2008
; published version: 11 March 2011


    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
    A Horizontal Categorification of Gel'fand Duality
    Advances in Mathematics 226(1):584-607 (2011)
    doi: 10.1016/j.aim.2010.06.025

    Matthematical Reviews: MR2735769

    Zentralblatt MATH: Zbl 1215.46043
    http://arxiv.org/abs/0812.3601v1 (first arXived version: 18 December 2008)
   
http://arxiv.org/abs/0812.3601v2 (second arXived version: 23 July 2010)
    (first circulated version: 20 November 2007, as part of "Horizontal Categorification of Gel'fand Theory"; stand-alone version: 10 December 2008,
[pdf]; new version: 25 June 2010, [pdf])


    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
    Modular Theory, Non-commutative Geometry and Quantum Gravity
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 6:067 (2010) 47 pp    
    doi: 10.3842/SIGMA.2010.067
    Matthematical Reviews: MR2725016

    Zentralblatt MATH:  Zbl 1221.46068 
    http://arxiv.org/abs/1007.4094v1 (first arXived version: 23 July 2010)
    http://arxiv.org/abs/1007.4094v2 (second arXived version: 19 August 2010) 

    (first version: 30 March 2010, was: "
Non-commutative Geometry, Modular Theory and Quantum Gravity" [pdf]; new version: 16 July 2010 [pdf])


    Paolo Bertozzini, Kasemsun Rutamorn
    Krein C*-categories

    Chamchuri Journal of Mathematics 1(2):61-74 (2009)   

    "APAM 2009" Collection of Abstract and Presented Papers 35-42 (2009) 
    "Annual Pure and Applied Mathematics Conference 2009'', Chulalongkorn University, Bangkok, Thailand, 25-26 May 2009 
    Mathematical Reviews: MR3151100
    Zentralblatt MATH: Zbl 1287.47029
    url: http://www.math.sc.chula.ac.th/cjm/content/kre%C4%ADn-c-categories
    http://arxiv.org/abs/1112.5996 (arXived version: 26 December 2011) 
    (published version
25 November 2009, [pdf])


    Pichkitti Bannangkoon, Paolo Bertozzini, Wicharn Lewkeeratiyutkul
    Spectral Theory on Commutative Krein C*-algebras
    "AMM 2009" Collection of Full Papers 38-55 (2009)
    "14th Annual Meeting in Mathematics 2009'', Prince of Songkla University, Pattani, Thailand, 5-6 March 2009
    url: http://amm2009.pn.psu.ac.th/docs/amm2009CollectionofFullPapers.pdf  
   
http://arxiv.org/abs/1409.1329 (arXived version: 05 September 2014)


    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
    Non-commutative Geometry, Categories and Quantum Physics
   
East-West Journal of Mathematics "Contributions in Mathematics and Applications II"  (2007 Special Volume):213-259 (2008)
    Pre-proceedings of the "International Conference on Mathematics and Its Applications" ICMA-MU 2007, Bangkok, Thailand, 15-17 August 2007, Mahidol University 135-178 (2007)
    Mathematical Reviews: MR2494910
    Zentralblatt MATH: Zbl 1157.46044 
Zbl 1182.4658
    http://arxiv.org/abs/0801.2826v1 (first arXived version: 20 November 2007) 
    http://arxiv.org/abs/0801.2826v2 (second arXived version: 26 December 2011) 


    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul 
    A Category of Spectral Triples and Discrete Groups with Length Function
    Osaka Journal of Mathematics 43(2):327-350 (2006)
    url: http://projecteuclid.org/euclid.ojm/1152203943
    Mathematical Reviews: MR2262338
    Zentralblatt MATH: Zbl 1120.46055  

    http://arxiv.org/abs/math/0502583 (arXived version: 01 February 2005) 


    Paolo Bertozzini, Roberto Conti, Roberto Longo 
    Covariant Sectors with Infinite Dimension and Positivity of the Energy
    Communications in Mathematical Physics 193(2):471-492 (1998)
    doi: 10.1007/s002200050337
 
    Mathematical Reviews: MR1618127
    Zentralblatt MATH: Zbl 0908.46038
    http://arxiv.org/abs/funct-an/9704007 (arXived version: 23 April 1997)

    Paolo Bertozzini, Ugo Valdre'
    Nuove Microscopie a Scansione
    Microscopia Elettronica 12:58-85 (1991) 



Preprints:

    Paratat Bejrakarboom, Paolo Bertozzini
    Involutive Weak Globular Higher Categories
    (submitted to AMM 2017 Annual Mathematical Meeting 2017, Chiang Mai, Thailand, 2-4 June 2017)
    https://arxiv.org/abs/1709.09336 (first arXived version: 27 September 2017)

    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul, Noppokhun Suthichitranont
    On Strict Higher C*-categories  

    https://arxiv.org/abs/1709.09339 (first arXived version: 27 September 2017)


    Paolo Bertozzini, Roberto Conti, Rachel Dawe-Martins
    Involutive Double Categories


    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
    A Spectral Theorem for Imprimitivity C*-Bimodules
    http://arxiv.org/abs/0812.3596v1 (first arXived version: 18 December 2008)
    (first circulated version: 20 November 2007, as appendix of "Horizontal Categorification of Gel'fand Theory"; new stand-alone version: 08 December 2008
[pdf])


Preprints in preparation:


    Paolo Bertozzini, Roberto Conti, Natee Pitiwan
    "Non-commutative Gel'fand Duality"

    Paolo Bertozzini, Roberto Conti, Rachel Dawe-Martins
    "Double C*-categories and Double Fell Bundles"


    Paolo Bertozzini, Roberto Conti, Fabian Germ
    "Spectral Geometries and Diffeologies"

    Paolo Bertozzini
   "Algebraic Formalism for Rovelli Quantum Theory"


   
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
    "Fell-Pontryagin Duality"


    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
    "Morphisms of Non-commutative Riemannian Manifolds"


    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
    "Spectral Geometries over C*-categories and Morphisms of Spectral Geometries"


    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
    "Non-commutative Submanifolds and Quotient Manifolds"

    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
    ''Horizontal Categorification of Gel'fand Theory'' (first circulated version: 20 November 2007)


    Paolo Bertozzini, Areeya Sararak
    ''Real and Complex Structures in Hilbert-C*-modules''

    Paolo Bertozzini, Supaporn Theesorngnern
    ''Hermitian-Clifford Algebras and Non-commutative CAR-algebras''


Work in progress:

    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul,
    "Categories of Spectral Triples and Morita Equivalence".

    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul,
    "Morphisms of Spectral Triples and AF-algebras".    

    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul,
    "Modular Spectral Triples".

    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul,
    "Horizontal Categorification of Spectral Triples'"

    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul,
    "Spectral Space-Time".

    Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul,
    "Non-commutative Klein-Cartan Program".

Lectures Notes and Books:

    Abstract Algebra [Lecture Notes, unpublished];

    Linear Analysis [Lecture Notes, unpublished];

    Vector Analysis [Lecture Notes, unpublished];

    AmS-LaTeX2e [Lecture Notes, unpublished];

    Operator Algebras [Lecture Notes, unpublished].
Other Scientific Works:

    Paolo Bertozzini,
    "Nuove Microscopie a Scansione di Sonda",
    Laurea Thesis, Universita' di Bologna, 1990
    [unpublished, in Italian language];

    Paolo Bertozzini,
    "Applicazioni della Teoria Modulare di Tomita-Takesaki alla Teoria Algebrica dei Campi:
    Settori di Statistica Infinita e Positivita' dell'Energia",
    Ph.D. Thesis, Universita' di Milano, 1997
    [unpublished, in Italian language].

    Paolo Bertozzini,
    "Hypercovariant Theories and Spectral Space-Time"
    (first version: November 2001)
    [unpublished draft].
 
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