2026 School on Arithmetic, Geometry and Algorithms

Administration

Description

The call for applications is now closed.

Coordinated by AAU-AMU-CIMPA-CoRE-Math-ICTP-ISP

The topics of this school are arithmetic and algebraic geometry, with a view toward applications, computational aspects and modern algorithms.

Arithmetic and algebraic geometry are classical topics, yet highly active fields in pure mathematics which recently have found practical applications, for instance in cryptography and coding theory. The school will give an accessible introduction to various foundational topics in arithmetic and algebraic geometry, including basics of commutative algebra, the language of modern algebraic geometry.
Moreover, we will highlight computational aspects and introduce the students to the usage of computer algebra systems. These are indispensable tools for research in arithmetic and algebraic geometry, as well as for practical applications.

Topics:

Algebraic varieties
Commutative algebra
Elliptic Curves
Algebraic Number Theory
Finite Fields
Applications of Arithmetic and Algebraic Geometry in Cryptography
Computer Algebra Systems

Speakers:

Introductory Commutative Algebra
S. Nakato, Kabale University, Uganda
Introductory Algebraic Geometry
S. Gammelgaard, Università degli Studi di Milano, Italy
Algebraic Number Theory, Finite Fields and RSA Cryptography
A. El-Guindy Cairo University, Egypt
Elliptic Curves I: geometry and arithmetic
D. Festi, University of Naples Federico II, Italy
Elliptic Curves II: elliptic curves over finite fields and applications to cryptography
J. Duque-Rosero, Boston University, USA
Additional talks by
B. Bekele, Addis Ababa University, Ethiopia
A. Fufa Samuel Asefa, Addis Ababa University, Ethiopia
T. Abebaw, Addis Ababa University, Ethiopia
Dereje Kifle, Dilla University, Ethiopia

Grants: A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.

Material

Poster

2026 School on Arithmetic, Geometry and Algorithms | (smr 4199)

Go to day

Monday, 17 August 2026
- 07:30 - 16:00
  - 07:30 Opening Ceremony 1h30'
  - 09:00 Coffee Break 30'
  - 09:30 Introductory Commutative Algebra - Part 1 1h30'
    
    Speaker: Sarah Nakato (Kabale University, Uganda)
  - 11:00 Lunch Break 1h30'
  - 12:30 Prerequisite Tutorial 1h30'
  - 14:00 Coffee Break 30'
  - 14:30 Introductory Algebraic Geometry - Part 1 1h30'
    
    Speaker: Soren Gammelgaard (Università degli Studi di Milano, Italy)
Tuesday, 18 August 2026
- 07:30 - 16:00
  - 07:30 Introductory Algebraic Geometry - Part 2 1h30'
    
    Speaker: Soren Gammelgaard (Università degli Studi di Milano, Italy)
  - 09:00 Coffee Break 30'
  - 09:30 Introduction to Sage 1h30'
  - 11:00 Lunch Break 1h30'
  - 12:30 Introductory Commutative Algebra - Part 2 1h30'
    
    Speaker: Sarah Nakato (Kabale University, Uganda)
  - 14:00 Coffee Break 30'
  - 14:30 Introductory Algebraic Geometry - Part 3 1h30'
    
    Speaker: Soren Gammelgaard (Università degli Studi di Milano, Italy)
- 17:00 - 19:00
  - 17:00 Women in Math Drinks 2h0'
Wednesday, 19 August 2026
- 07:30 - 16:00
  - 07:30 Introductory Commutative Algebra - Part 3 1h30'
    
    Speaker: Sarah Nakato (Kabale University, Uganda)
  - 09:00 Coffee Break 30'
  - 09:30 Introductory Algebraic Geometry - Part 4 1h30'
    
    Speaker: Soren Gammelgaard (Università degli Studi di Milano, Italy)
  - 11:00 Lunch Break 1h30'
  - 12:30 Elliptic Curves I: geometry and arithmetic - Part 1 1h30'
    
    Speaker: Dino Festi (University of Naples Federico II, Italy)
  - 14:00 Coffee Break 30'
  - 14:30 Introductory Commutative Algebra - Part 4 1h30'
    
    Speaker: Sarah Nakato (Kabale University, Uganda)
Thursday, 20 August 2026
- 07:30 - 16:00
  - 07:30 Introductory Commutative Algebra - Part 5 1h30'
    
    Speaker: Sarah Nakato (Kabale University, Uganda)
  - 09:00 Coffee Break 30'
  - 09:30 Elliptic Curves I: geometry and arithmetic - Part 2 1h30'
    
    Speaker: Dino Festi (University of Naples Federico II, Italy)
  - 11:00 Lunch Break 1h30'
  - 12:30 Introductory Algebraic Geometry - Part 5 1h30'
    
    Speaker: Soren Gammelgaard (Università degli Studi di Milano, Italy)
  - 14:00 Coffee Break 30'
  - 14:30 Extra Exercise Session and Student Presentations 1h30'
Friday, 21 August 2026
- 07:30 - 12:30
  - 07:30 Talk: Introduction to Soft groups based on soft binary operations 1h0'
    
    Speaker: Berhanu Bekele (Addis Ababa University, Ethiopia)
  - 08:30 Modular Curves and Their Arithmetic Properties 1h0'
    
    Speaker: Mar Curcó-Iranzo (NORA and Pythagoras, KWG, Netherlands)
  - 09:30 Coffee Break 30'
  - 10:00 Polynominal-controlled Lightweight Crtprography 1h0'
    
    Speaker: Samuel Asefa Fufa (Addis Ababa University, Ethiopia)
  - 11:00 Lunch Break 1h30'
Monday, 24 August 2026
- 07:30 - 16:00
  - 07:30 Algebraic Number Theory, Finite Fields and RSA Cryptography - Part 1 1h30'
    
    Speaker: Ahmed El-Guindy (Cairo University, Egypt)
  - 09:00 Coffee Break 30'
  - 09:30 Elliptic Curves I: geometry and arithmetic - Part 3 1h30'
    
    Speaker: Dino Festi (University of Naples Federico II, Italy)
  - 11:00 Lunch Break 1h30'
  - 12:30 Elliptic Curves II: elliptic curves over finite fields and applications to cryptography - Part 1 1h30'
    
    Speaker: Juanita Duque-Rosero (Boston University, USA)
  - 14:00 Coffee Break 30'
  - 14:30 Elliptic Curves I: geometry and arithmetic - Part 4 1h30'
    
    Speaker: Dino Festi (University of Naples Federico II, Italy)
Tuesday, 25 August 2026
- 07:30 - 16:00
  - 07:30 Elliptic Curves I: geometry and arithmetic - Part 5 1h30'
    
    Speaker: Dino Festi (University of Naples Federico II, Italy)
  - 09:00 Coffee Break 30'
  - 09:30 Algebraic Number Theory, Finite Fields and RSA Cryptography - Part 2 1h30'
    
    Speaker: Ahmed El-Guindy (Cairo University, Egypt)
  - 11:00 Lunch Break 1h30'
  - 12:30 Elliptic Curves II: elliptic curves over finite fields and applications to cryptography - Part 2 1h30'
    
    Speaker: Juanita Duque-Rosero (Boston University, USA)
  - 14:00 Coffee Break 30'
  - 14:30 Extra Exercise Session and Student Presentations 1h30'
Wednesday, 26 August 2026
- 07:30 - 16:00
  - 07:30 Elliptic Curves II: elliptic curves over finite fields and applications to cryptography - Part 3 1h30'
    
    Speaker: Juanita Duque-Rosero (Boston University, USA)
  - 09:00 Coffee Break 30'
  - 09:30 Algebraic Number Theory, Finite Fields and RSA Cryptography - Part 3 1h30'
    
    Speaker: Ahmed El-Guindy (Cairo University, Egypt)
  - 11:00 Lunch Break 1h30'
  - 12:30 Talk: Introduction to the Ring of Differential Operators 1h0'
    
    Speaker: Tilahun Abebaw (Addis Ababa University, Ethiopia)
  - 13:30 Talk: Evaluating Gröbner Basis Computation over Algebraic Function Fields 1h0'
    
    Speaker: Dereje Kifle (Dilla University, Ethiopia)
  - 14:30 Coffee Break 30'
  - 15:00 Talk: Period computations for elliptic curves and Calabi-Yau threefolds 1h0'
    
    Speaker: Mohamed Elmi (Tsinghua University, Cina)
Thursday, 27 August 2026
- 07:30 - 16:00
  - 07:30 Algebraic Number Theory, Finite Fields and RSA Cryptography - Part 4 1h30'
    
    Speaker: Ahmed El-Guindy (Cairo University, Egypt)
  - 09:00 Coffee Break 30'
  - 09:30 Elliptic Curves II: elliptic curves over finite fields and applications to cryptography - Part 4 1h30'
    
    Speaker: Juanita Duque-Rosero (Boston University, USA)
  - 11:00 Lunch Break 1h30'
  - 12:30 Professional Development Session 1h30'
  - 14:00 Coffee Break 30'
  - 14:30 Elliptic Curves II: elliptic curves over finite fields and applications to cryptography - Part 5 1h30'
    
    Speaker: Juanita Duque-Rosero (Boston University, USA)
Friday, 28 August 2026
- 07:30 - 12:30
  - 07:30 Algebraic Number Theory, Finite Fields and RSA Cryptography - Part 5 1h30'
    
    Speaker: Ahmed El-Guindy (Cairo University, Egypt)
  - 09:00 Coffee Break 30'
  - 09:30 Student Presentations and Closing Ceremony 1h30'
  - 11:00 Lunch Break 1h30'