Modular Forms, Geometry, Complex Analysis and Applications

Presentation

This international conference focuses on the interplay between modular forms, geometry, complex analysis, dynamical systems, and combinatorics. Modular forms encode deep arithmetic information through L-functions and Galois representations. Complex analytic methods (Bergman spaces, growth estimates, analytic continuation) investigate hyperbolicity in complex geometry. Dynamics such as Perron numbers and β‑expansions illustrate how symbolic dynamics encodes arithmetic information. Special functions (theta functions, hypergeometric series, orthogonal polynomials) and combinatorics serve as a bridge linking these areas.

Connections with other fields: Orthogonal polynomials and special functions are widely used in numerical analysis, approximation theory, signal processing, and control theory. Combinatorics and dynamical systems have applications in coding theory and data compression. Complex analysis techniques appear in quantum mechanics and image reconstruction. This conference aims to foster exchanges between pure and applied mathematicians.

General Information

Chair: Najib Ouled Azaiez
Organizing Committee: Najib Ouled Azaiez, Samir Marouani, Hachem Hichri
Scientific Committee: Fathi Haggui, Nourdine Ghiloufi
Location: Monastir, Tunisia
Dates: 25–28 October 2026

Registration Fee

The registration fee (approx. 225 € / 760 TND) covers for three nights:

Hotel accommodation in double room (full board)
Conference materials
Coffee breaks and meals

Detailed Topics

Modular forms, quasimodular forms, Hecke groups, and Zagier-type conjectures
Non-Kähler hyperbolicity for compact complex manifolds
Bergman spaces, complex analysis, and their applications in quantum mechanics and image reconstruction
Perron numbers, β‑expansions, and applications in data compression
Combinatorics and its interactions with special functions and arithmetic applications
Limit sets of monotone maps on regular curves. Recurrence and nonwandering sets of local dendrite maps
d‑orthogonality, orthogonal polynomials, and the q‑Askey scheme
Special functions and their applications in numerical analysis, signal processing, and control theory

Confirmed Participants & Speakers

List of participants and speakers whose registration has been validated by the organizing committee:

🎤 Speakers

Dr. Sumandeep Kaur- Shanghai University

Title: On the Index of Power Compositional Polynomials.
Prof. Hachem Hichri -IPEIM, University of Monastir

Title: Dynamics of powers of Perron numbers
Prof. Najib Ouled Azaiez -Faculty of Sciences, University of Sfax

Title: Modular forms and Shimura Curves
Prof. Fathi Haggui -IPEIM, University of Monastir

Title: TBA
Prof. Noureddine Ghiloufi - Faculty of Sciences, University of Gabes

Title: TBA
Prof. Samir Marouani - University of Monastir

Title: TBA
Regaieg Eya -Faculty of Sciences, University of Sfax

Title: Zagier Conjecture on Hecke Eisenstein Lattices
Prof. Zakariae Bouazzaoui- School of Education and Training, Mohammed First University of Oujda, Morocco

Title: Modular forms and arithmetic properties of quadratic fields
Prof. Ahmed Mohammed Cherif -Mascara University, Algeria

Title: Stability of generalized P-harmonic maps.

👥 Participants

Adarsh Kumar- Indian Institute of Technology Gandhinagar
Mhadeb Ayachi- Faculty of Sciences, University of Sfax
Prof. Mohammed Amin Amri, LAGA, Departement of mathematics, Ibn Tofail University
Prof. Aymen HADJ SALEM, University of Gabes

📋 List updated regularly. Last update: 26 March 2026

Contact

Email: najouled(at)gmail.com

Institutional contacts: najib.ouledazaiez(at)fss.usf.tn | hachem.hichri(at)ipeim.rnu.tn

Website: under construction

Modular Forms, Geometry, Complex Analysis and Applications

International Conference

Monastir, Tunisia — 25–28 October 2026