Dr Farzad Fathi Zadeh

Senior Lecturer in Computer Science, Computer Science

+44 (0) 1792 513850

farzad.fathizadeh@swansea.ac.uk

Research Links

ResearchGate

Google Scholar

Available For Postgraduate Supervision

About

My research in noncommutative geometry is focused on study of local geometric invariants in heat kernel expansions for noncommutative spaces and identification of modified gravity terms in such expansions for cosmological models. I am also interested in applying advanced statistical and geometric methods to large data sets coming from neuroscience and economics, and have established collaborations in this direction.

Areas Of Expertise

Noncommutative geometry
Heat kernel expansions and modified gravity actions
Signal detection and large scale statistical inference
Geometric learning

Career Highlights

Teaching Interests

Mathematics: analysis, algebra, geometry, probability;
Machine learning

Award Highlights Collaborations

Publications

Research Highlights

Fathi Zadeh, F., Kafkoulis, Y., & Marcolli, M. (2020). Bell Polynomials and Brownian Bridge in Spectral Gravity Models on Multifractal Robertson–Walker Cosmologies. Annales Henri Poincaré, 21(4), 1329-1382.
https://doi.org/10.1007/s00023-020-00894-5, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55855
Connes, A. & Fathi Zadeh, F. (2019). The term a_4 in the heat kernel expansion of noncommutative tori. Munster Journal of Mathematics, 12(2), 239-410.
https://doi.org/10.17879/53149724705, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa49712
http://nbn-resolving.de/urn:nbn:de:hbz:6-53149724977
Fan, W., Fathi Zadeh, F., & Marcolli, M. (2019). Modular forms in the spectral action of Bianchi IX gravitational instantons. Journal of High Energy Physics, 2019(1)
https://doi.org/10.1007/jhep01(2019)234, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa48814
Fan, W., Fathizadeh, F., Marcolli, M., & Fathi Zadeh, F. (2018). Motives and periods in Bianchi IX gravity models. Letters in Mathematical Physics, 108
https://doi.org/10.1007/s11005-018-1096-6, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa40164
Fathi Zadeh, F. & Marcolli, M. (2017). Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes. Communications in Mathematical Physics, 356(2), 641-671.
https://doi.org/10.1007/s00220-017-2991-x, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa40165
Fan, W., Fathizadeh, F., Marcolli, M., & Fathi Zadeh, F. (2015). Spectral action for Bianchi type-IX cosmological models. Journal of High Energy Physics, 2015(10)
https://doi.org/10.1007/JHEP10(2015)085, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa40251
Fathizadeh, F. & Fathi Zadeh, F. (2015). On the scalar curvature for the noncommutative four torus. Journal of Mathematical Physics, 56(6), 062303
https://doi.org/10.1063/1.4922815, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa40173
Fathizadeh, F., Ghorbanpour, A., Khalkhali, M., & Fathi Zadeh, F. (2014). Rationality of spectral action for Robertson-Walker metrics. Journal of High Energy Physics, 2014(12)
https://doi.org/10.1007/JHEP12(2014)064, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa40252

All Research

Journal Articles

Fathi Zadeh, F., Kafkoulis, Y., & Marcolli, M. (2020). Bell Polynomials and Brownian Bridge in Spectral Gravity Models on Multifractal Robertson–Walker Cosmologies. Annales Henri Poincaré, 21(4), 1329-1382.
https://doi.org/10.1007/s00023-020-00894-5, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55855
Connes, A. & Fathi Zadeh, F. (2019). The term a_4 in the heat kernel expansion of noncommutative tori. Munster Journal of Mathematics, 12(2), 239-410.
https://doi.org/10.17879/53149724705, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa49712
http://nbn-resolving.de/urn:nbn:de:hbz:6-53149724977
Fan, W., Fathi Zadeh, F., & Marcolli, M. (2019). Modular forms in the spectral action of Bianchi IX gravitational instantons. Journal of High Energy Physics, 2019(1)
https://doi.org/10.1007/jhep01(2019)234, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa48814
Fan, W., Fathizadeh, F., Marcolli, M., & Fathi Zadeh, F. (2018). Motives and periods in Bianchi IX gravity models. Letters in Mathematical Physics, 108
https://doi.org/10.1007/s11005-018-1096-6, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa40164
Fathi Zadeh, F. & Marcolli, M. (2017). Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes. Communications in Mathematical Physics, 356(2), 641-671.
https://doi.org/10.1007/s00220-017-2991-x, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa40165
Fan, W., Fathizadeh, F., Marcolli, M., & Fathi Zadeh, F. (2015). Spectral action for Bianchi type-IX cosmological models. Journal of High Energy Physics, 2015(10)
https://doi.org/10.1007/JHEP10(2015)085, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa40251
Fathizadeh, F. & Fathi Zadeh, F. (2015). On the scalar curvature for the noncommutative four torus. Journal of Mathematical Physics, 56(6), 062303
https://doi.org/10.1063/1.4922815, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa40173
Fathizadeh, F., Ghorbanpour, A., Khalkhali, M., & Fathi Zadeh, F. (2014). Rationality of spectral action for Robertson-Walker metrics. Journal of High Energy Physics, 2014(12)
https://doi.org/10.1007/JHEP12(2014)064, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa40252

Supervision

Untitled (current)

PhD

Other supervisor: Dr Noemi Picco

Key Grants and Projects

Noncommutative geometric invariants and their applications 2017

Marie Curie/SER Cymru II Cofund Research Fellowship 663830-SU-008.

Career History

Research fellow, permanent lectureship built in the fellowship, Swansea University

2017 - Present

Affiliated Positions

Guest research scientist , Max Plank Institute for Biological Cybernetics

2018 - 2020

Invited Presentations, Lectures and Conferences

New geometric methods in neuroscience

2020

Fields Institute, Toronto, Canada

Dr Farzad Fathi Zadeh

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