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122 results

IMO 1994

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
410

IMO 1995

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
350

IMO 1996

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
270

IMO 1997

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
200

IMO 1998

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
430

IMO 1999

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
320

IMO 2000

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
280

IMO 2001

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
240

IMO 2002

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
280

IMO 2003

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
190

IMO 2004

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
240

IMO 2006

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
320

Matrices

2026TheorySergey

A matrix, its notation, and the main types: row, column, echelon, square, diagonal, identity, symmetric - defined and shown with worked examples.
1
570

Systems of Linear Equations

2026TheorySergey

Linear systems in matrix form, the Kronecker–Capelli theorem, homogeneous systems, and the fundamental system of solutions.
0
210

Properties of Matrix Operations

2026TheorySergey

The basic properties of addition, scalar multiplication, transposition, and multiplication of matrices, with justifications.
0
180

Inverse Matrices

2026TheorySergey

Nonsingular matrices, the invertibility criterion, the adjugate-matrix formula, and the Gauss–Jordan method.
0
120

The torsion component of the Picard scheme

2026OtherBogdan Zavyalov

Every finite flat commutative group scheme over a noetherian local ring is the torsion component of the Picard scheme of a smooth projective scheme with 3-dimensional fibers, built as a quotient of a complete intersection. An application: Hodge numbers that jump in a smooth projective family.
1
500