Publications and preprints

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• Quantisation of Super Teichmüller theoy,

     joint with Michal Pawelkiewicz and Jörg Teschner, arXiv:1512.02617, 

     Published in: Commun. Math. Phys. 353 (2017) no.2, 597-631.

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• Notes on Integral Identities for 3d Supersymmetric Dualities,

      joint with Antonio Amariti, Yuta Sekiguchi, arXiv:1709.08653,  

      Published in: JHEP 1804 (2018) 022 DOI: 1010.1007/JHEP04(2018)022.

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• Combinatorial Quantisation of GL(1|1) Chern-Simons Theory I: The Torus, 

      joint with Azat Gainutdinov, Michal Pawelkiewicz and Volker Schomerus,  arXiv:1811.09123,

      Under the review of CMP.

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• Heisenberg double and Drinfeld double of the super quantum plane, 

      joint with Michal Pawelkiewicz, arXiv: 1909.04565.

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• Towards Super Teichmüller Spin TQFT,

       joint with Michal Pawelkiewicz and Masahito Yamazaki, arXiv:2008.09829. 

      Advances in Theoretical and Mathematical Physics Vol.26, no.2

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• Graded discrete Heisenberg and Drinfeld doubles,

       joint with Michal Pawelkiewicz, arXiv:2411.01681.

    ​   Under the review of LMP

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To appear

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• Combinatorial Quantisation of GL(1|1) Chern-Simons Theory II, General manifold,

      N. Aghaei, Azat Gainutdinov, Michal Pawelkiewicz and Volker Schomerus, arXiv:25xx.xxxx.  PDF

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On-going active projects​​​

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• Super topological recursion joint with Nicolas Orantin., Kento Osuga and Reinier Kramer.

• relation of Super SLE and Super Liouville theroy CFT,  Tjoint with Shinji Koshida and  Eveline Peltola.

• Lattice graph and gl(1|1) WZW joint with Michal Pawelkiewicz

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In progress

• super MIrzakhani- Mc-schane identity and Topological Recursion, joint with Nicolas Orantin and Severin Charbonnier.

• ​Discrete Super Liouville and isomonodromy deformation. N.Aghaei.

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Lecture notes and reports

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• N.Aghaei "Lectures on quantum Teichmüller". Lecture notes for the course delivered during the school of invariants in low-dimensional geometry and topology,

      by Prof. Kashaev, Toulouse, May 2017.​

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• N.Aghaei "Conformal field theory". Lecture notes for the course delivered during the 17th Saalburg Summer School,

      by Dr. Romelsberger, Wolfersdorf, Germany, September 2011.

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• N.Aghaei "Theoretical Simulation and Structural Analysis of Coconut oil thermodynamical behavior",

      Report of my DAAD Summer Studentship, University Halle, Germany, Summer 2008.

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Academic service

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• Reviewer for Mathematical Reviews at American Mathematical Society (AMS) (Reviewer Number:131030)

• External referee of Phd thesis at Ghent University, September 2023

 

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My collaborators(Alphabetically)​

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• Antonio Amariti  

• Raphael Belliard 

• Ariane Carrance

• Severin Charbonnier

• Harini Desiraju

• Elba Garcia Failde 

• Reinier Kramer 

• Shinji Koshida

• Aleksandra Korzhenkova

• Nicolas Orantin         

• Kento Osuga

• Michal Pawelkiewicz      

• Eveliina Peltola 

• Azat Gainutdinov

• Volker Schomerus

• Yuta Sekiguchi

• Jörg Teschner

• Masahito Yamazaki​

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My References

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• Prof.Jörg Teschner (Phd Supervisor)              teschner@mail.desy.de         

• Prof.Volker Schomerus                                volker.schomerus@desy.de

• Prof. Paul Norbury                                     norbury@unimelb.edu.au 

• Prof. Eveliina Peltola                                   eveliina.peltola@aalto.fi 

• Prof.Masahito Yamazaki                             masahito.yamazaki@ipmu.jp

• Prof. Kolya Reshetikhin                                reshetik@math.berkeley.edu

• Dr.Antonio Amariti                                      antonio.amariti@mi.infn.it

• Prof.Susanne Reffert (Postdoc Supervisor)       sreffert@itp.unibe.ch 

• Dr.Thomas Quella (Master Supervisor)           Thomas.Quella@unimelb.edu.au

• Prof.Farhang Loran (Bachelor Supervisor)       loran@cc.iut.ac.ir

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