Program

Week 1 (June 19 - June 25)

Week 2 (June 26 - July 1)

Groups

• G1-China I, Iran (Homeroom instructors: Alex Song, Octav Drǎgoi, Room: A3-1-103)
• G2-Romania (unofficially), Thailand (Homeroom instructor: Andrei Bud, Room: A3-1-301)
• G3-China-Qiuzhen, Italy, Poland (Homeroom instructor: Stijn Cambie, Room: A3-1a-204)
• G4-Brazil, Canada, Saudi Arabia (Homeroom instructor: Cezar Lupu, Room: A3-1a-205)
• G5-Bulgaria, China II, Mexico, (Homeroom instructor: Zilin Jiang, Room: A3-1a-206)
• G6-Armenia, China III, Mongolia (Homeroom instructor: Wei Luo, Room: A3-2-301)
• G7-Azerbaijan, Hungary (Homeroom instructor: Supanat Kamtue, Room: A3-2-303)
• G8-Estonia, Serbia, Uzbekistan (Homeroom instructor: Ben Yang, Room: A3-2a-302)
• G9-China Union, Kyrgyzstan, South Africa (Homeroom instructor: Tudor Popescu, Room: A3-3-301)
• G10-Botswana, Ghana, Rwanda (Homeroom instructor: Joao Cesar Campos-Vargas, Room: A3-4-301)

Lectures type

• Algebra
• Combinatorics
• Geometry
• Number Theory
• Seminar

Topics/Titles

INSTRUCTORS

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Cezar Lupu (Academic Director)

• Romanian Olympiad (algebra) gems-Algebra 1 (G4, G5, G6)
• Sequences, series of real numbers and their inequalities & asymptotics-Algebra 2 (G1, G2, G3)
• Algebraic integers and applications-Number Theory 1 (G4, G5, G6)
• Advanced analytic methods in number theory-Number Theory 2(G1, G2, G3)

Supanat (Phil) Kamtue (Associate Academic Director)

• Hall's marriage theorem-Combinatorics 1 (G7, G8, G9)
• Two players game-Combinatorics 2 (G1, G4, G5)
• Geometric inequalities-Geometry 1 (G1, G3, G4, G5)
• p-adic valuation-Number Theory 1 (G4, G7, G10)

Andrei Bud (Instructor)

• A thorough study of approximation problems-Number Theory 1 (G8, G9)
• Square roots and logarithms in Olympiad problems-Number Theory 2 (G1, G2, G3)
• Protassov lemma-Geometry 1 (G5, G6, G8)
• Conics in geometry problems-Geometry 2 (G3, G4)
• Combinatorial geometry: Helly and Minkowski-Combinatorics 1 (G9, G10)

Stijn Cambie (Instructor)

• Ramsey Theory-Combinatorics 1 (G1, G2, G3)
• Extremal Set Theory-Combinatorics 2 (G6, G7, G8)
• Graph Theory-Combinatorics 3 (G5, G6, G7)
• Inequalities-Algebra 1 (G8, G9, G10)

Joao Cesar Campos-Vargas (Instructor)

• Solving Pell's equation-Number Theory 1 (G4, G5, G6)
• Applications of finite fields-Number Theory 2 (G1, G2, G3)
• Problems in additive combinatorics-Combinatorics 1 (G1, G2, G4)
• Methods in projective geometry-Geometry 1 (G4, G7, G8)

Octav Drǎgoi (Instructor)

• Humpty and Dumpty points-Geometry 1 (G2, G5, G8)
• Inversion, Spiral Similarity, other transforms-Geometry 2 (G1, G6, G10)

Zilin Jiang (Instructor)

• The area method-Geometry 1 (G8, G9, G10)
• Three tricks in Euclidean geometry-Geometry 2 (G8, G9, G10)
• Convexity in geometry-Geometry 3 (G1, G2, G4)
• Starting with a handshake-Combinatorics 1 (G5, G6, G7)

Wei Luo (Instructor)

• Number theory properties of recurrent integer sequences-Number Theory 1 (G1, G2, G3)
• Generating functions and applications-Combinatorics 1 (G4, G5, G6)
• Graph theory and applications-Combinatorics 2 (G8, G9, G10)
• Interesting problems on polynomials-Algebra 1 (G6, G7, G8)

Tudor Popescu (Instructor)

• Quadratic Reciprocity-Number Theory 1 (G8, G9, G10)
• Thue's lemma and generalizations-Number Theory 2 (G6, G7, G8)
• Cyclotomic polynomials and applications-Algebra 1 (G2, G3, G5)
• Combinatorial nullstellensatz-Combinatorics 1 (G1, G3, G7)

Zhuo Qun Song (Instructor)

• Moving points-Geometry 1 (G1, G2, G3)
• Sequence inequalities-Algebra 1 (G5, G7, G8)

Ben Yang (Instructor)

• Extreme principle-Combinatorics 1 (G7, G8, G9, G10)
• Studying simple examples-Combinatorics 2 (G2, G3, G4, G6)
• Functional equations-Algebra 1 (G5, G6, G7, G8)

LEADERS

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Duanyang Zhang (Leader-China I)

• Selected inequalities from the original problems of the mystery of math-Algebra 1 (G3, G4, G5)

Chenglong Yu (Leader-China Qiuzhen)

• From Pentagon game to Poincare's polygon theorem: An IMO problem leading to research problems-Combinatorics 1 (G1, G2)

Łukasz Bożyk (Leader-Poland)

• Board colorings-Combinatorics 1 (G9, G10)

Anca Sfia (Leader-Romania unofficially)

• Sperner's lemma and applications-Combinatorics 1 (G3, G6)

Emil Kolev (Leader-Bulgaria)

• Covering codes and related topics-Combinatorics 1 (G3, G6)
• Search problems-Combinatorics 2 (G9, G10)

Otgonbayar Uuye (Leader-Mongolia)

• Selected inequalities from the Mongolian mathematical olympiad-Algebra 1 (G7, G8)

Smbat Gogyan (Leader-Armenia)

• Metrics and distances in math Olympiad problems-Geometry 1 (G9, G10)
• Inverse elements in olympiad problem solving-Number Theory 1 (G4, G7, G10)

Gurgen Asatryan (Leader-Armenia)

• Polynomial Functional Equations and irreducibility Problems by using Unique Factorization Domains-Algebra 1 (G1, G2, G8)

Bojan Bašić (Leader-Armenia)

• Fun in a prison courtyard-Combinatorics 1 (G4, G5)

Leonardo Franchi (Leader-Italy)

• Functional equations in number theory-Number Theory 1 (G5, G9)

Massimiliano Foschi (Leader-Italy)

• Linear algebra methods in combinatorics-Combinatorics 1 (G5)

Zsuzsanna Baran, Daniel Lenger, Marton Borbenyi (Leaders-Hungary)

• Complex numbers in counting problems 1-Algebra 1 (G9, G10)
• Complex numbers in counting problems 2-Algebra 2 (G9, G10)

Oleg Košik (Leader-Estonia)

• Polynomials in number theory-Number Theory 1 (G7)
• Polynomials in algebra-Algebra 1 (G4, G10)

Miljan Knežević and Teodor von Burg (Leaders-Serbia)

• SRB 2022 and 2023 team selection tests and beyond-Algebra 1 (G1)
• Solving difficult geometry problems with complex numbers-Geometry 1-Teodor von Burg (G2, G3, G7)

Abbas Mammadov (Leader-Azerbaijan)

• Various techniques on polynomials-Algebra 1 (G1, G4)

Ignacio Barradas (Leader-Mexico)

• Mathematics and magic-Algebra 1 (G9, G10)

Regis Prado Barbosa (Leader-Brazil)

• Geometry problems from Brazilian mathematical Olympiad-Geometry 1 (G4, G6, G9)

Samuel Feitosa (Leader-Brazil)

• Generating functions-Combinatorics 1 (G10)

Edmilson Motta (Leader-Brazil)

• Emeralds from the Brazilian math olympiad-Algebra 1 (G6)

Nithi Rungtanapirom (Leader-Thailand)

• Continued fractions-Number Theory 1 (G6, G9)

Navid Safaei (Leader-Iran)

• Enumerative problems in number theory-Number Theory 1 (G2)
• Topics in polynomials-Algebra 1 (G3)
• How research problems can be converted to hard Olympiad problems: A case study of Chinese TSTs-Algebra 2 (G2, G4)
• Topics in sequences-Algebra 3 (G7)

Khakimboy Egamberganov (Leader-Uzbekistan)

• Geometry through configurations-Geometry 1 (G3, G5)
• Desargues involution theorem and its applications-Geometry 2 (G1, G2)
• Generalizing Napoleon's theorem: triangles around a triangle-Geometry 3 (G10)

GUEST SPEAKERS

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Shing-Tung Yau, Tsinghua University & Yanqi Lake BIMSA (President of IMSC23)

• From vacuum space to space with cosmological constant (G1-G10)

Zhengwei Liu, Tsinghua University & Yanqi Lake BIMSA (Vice-president of IMSC23)

• Quantum information (G1-G10)

Caucher Birkar, Tsinghua University & Yanqi Lake BIMSA

• Algebra and geometry (G1-G10)

Nicolai Reshetikhin, Tsinghua University & Yanqi Lake BIMSA

• Determinism from randomness (G1-G10)