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On January 28, 1888, Louis Mordell was born. He was a British mathematician born in the United States who made important contributions to number theory. His work focused on elliptic curves, where he is known for the Mordell–Weil theorem and the Mordell curve. #EllipticCurves

On January 27, 1860, János Bolyai passed away. He was a Hungarian mathematician, famous for his work on non-Euclidean geometry, sharing the authorship of its discovery independently with the German Carl Friedrich Gauss and the Russian Nikolai Lobachevsky. #Geometry

On January 26, 1942, Felix Hausdorff died. He was a German mathematician regarded as one of the founders of modern topology. He also made significant contributions to set theory, measure theory, functional analysis, and the theory of functions. #Topology

On January 26, 1895, Arthur Cayley died. He was the third most prolific mathematician in history, surpassed only by Euler and Cauchy. Among his many contributions, spread across 927 papers, we may highlight the Cayley–Hamilton theorem and Cayley's theorem. #Matrix #GroupTheory

On January 26, 1862, Eliakim Moore was born. He was an American mathematician who focused his studies on abstract algebra, geometric algebra, number theory, and integral equations. He is especially remembered for Moore's theorem and the Moore–Osgood theorem. #Algebra

On January 25, 1843, Hermann Schwarz was born. He was a German mathematician especially known for his contributions to mathematical analysis. He is known for Schwarz's theorem and the Cauchy-Schwarz inequality, which he proved for integrals in 1888. #MathematicalAnalysis

On January 25, 1736, Joseph-Louis Lagrange was born. He was one of the most prominent physicists and mathematicians in history. Among his many important contributions are Lagrangian mechanics, the Euler-Lagrange equation, and Lagrange's theorem. #Algebra #MathematicalAnalysis

On January 25, 1627, Robert Boyle was born. He was a British physicist and chemist, remembered for Boyle's law. He is also considered one of the founders of modern chemistry.

On January 24, 1982, Karol Borsuk passed away. He was a Polish mathematician who made significant contributions to the field of topology. His best-known result is the Borsuk-Ulam theorem. #Topology

On January 23, 1862, David Hilbert was born. He was a German mathematician known for developing invariant theory and the notion of Hilbert space. In 1900, he presented a set of 23 open problems, now known as Hilbert's problems.

On January 23, 1785, Matthew Stewart passed away. He was a Scottish mathematician who specialized in geometry. He is remembered for Stewart's theorem, which relates the lengths of the sides of a triangle to the length of a cevian. #Geometry

On January 22, 1951, Harald Bohr passed away. He was a Danish mathematician who worked on number theory and Dirichlet series. Additionally, he was part of the Danish national football team at the 1908 Olympics, where he won a silver medal. #MathematicalAnalysis

On January 22, 1922, Camille Jordan passed away. He was a French mathematician, known both for his work on group theory and for the Jordan curve theorem, the Jordan canonical form in linear algebra, and the Jordan-Hölder theorem. #Geometry #Algebra

On January 22, 1904, George Salmon passed away. He was an Irish mathematician who made several contributions in the field of surfaces. He is also remembered for using in 1876 the concept of discriminant as we know it today. #Geometry

On January 22, 1880, Frigyes Riesz was born. He was a Hungarian mathematician known as one of the founders of functional analysis and for his contributions to measure theory. Later, his work found important applications in physics. #FunctionalAnalysis

On January 22, 1859, Joseph Raabe died. He was a Swiss mathematician known for Raabe’s test, which is a convergence criterion for infinite series. This result is often successful for series in which d’Alembert’s criterion (or the ratio test) is inconclusive. #Calculus

On January 21, 1879, François Proth died. He was a French farmer and self-taught mathematician who devised four primality tests. In 2009, the number 1924×2^{13018586}+1 became the largest known prime that did not belong to the family of Mersenne primes. #Algebra

On January 20, 1843, Giulio Ascoli was born. He was an Italian mathematician who contributed to the theory of real-variable functions and Fourier analysis. He is remembered for introducing the concept of equicontinuity and for the Ascoli-Arzelà theorem. #MathematicalAnalysis

On January 20, 1775, André-Marie Ampère was born. He was a French physicist who invented the first electric telegraph and was also one of the founders of the theory of electromagnetism. The unit of electric current, the ampere, is named in his honor.

On January 19, 1879, Guido Fubini was born. He was an Italian mathematician who made several contributions to mathematical analysis. He is remembered for his results in measure theory. #MathematicalAnalysis