Dec 10, 2025
When we speak about the rise of Russian mathematics, we often imagine the brilliant flowering of the 19th and 20th centuries — the eras of Chebyshev, Lyapunov, Markov, Kolmogorov, and many others. But the roots of this tradition reach back much earlier, into an era when Russia had no systematic mathematical culture at all. The modern tradition began almost abruptly, through the ambitions of one ruler and the arrival of several foreign geniuses.
This story — part institutional history, part intellectual migration — shows how Russia became one of the world’s mathematical centers.
Peter the Great and the Birth of the Academy
Peter the Great had a deep, practical appreciation for mathematics — not as an abstract science, but as a tool for building fleets, armies, and a modern state. By the last year of his life, founding a Russian Academy of Sciences had become one of his most urgent projects.
He had long discussed the idea with leading European thinkers — Leibniz among them — and in 1724 he signed the decree establishing the Academy. Peter died soon after, and the Academy opened only posthumously, but his intent had already shaped its direction: mathematics must stand at its core.
At that time, the leading voice in selecting scholars for the new institution was Christian Wolff, a German philosopher and devoted disciple of Leibniz. And Wolff’s instincts would change the trajectory of Russian science.
Why Basel Became the Center of New Mathematics
After the breakthroughs of Newton and Leibniz — who formalized the calculus started by Fermat, Roberval, Huygens, Torricelli — something remarkable occurred. For a few decades, the forefront of mathematical analysis moved to an unlikely place: Basel, a small Swiss city.
There, in the early 18th century, lived the extraordinary Bernoulli family — Johann, Jakob, Daniel, Nikolaus — a dynasty of creative mathematicians whose work shaped the new calculus. And among their students and collaborators was a young, prodigious Leonhard Euler.
Wolff managed to do something visionary: he convinced two Bernoullis — Daniel and Nikolaus — to join the fledgling St. Petersburg Academy. And they, in turn, brought a promising twenty-year-old Euler to Russia.
Euler in Russia: The Giant Who Started a School
Euler arrived in St. Petersburg in 1727. In Russia he would spend 31 years in total, in two long periods separated by his stay in Berlin under Frederick II.
During his Russian years Euler:
- mastered the Russian language
- produced a substantial portion of his nearly 900 scientific works
- laid the foundation for Russian mathematical education
- trained the earliest generation of local mathematicians
His intellectual energy was legendary. Today, Euler’s Opera Omnia is planned as 72 massive volumes, about 62 of which have already been published — a global monument of scientific output. The edition is directed from Switzerland, with Russia providing original manuscripts.
Euler was not simply a visitor; he established the first true mathematical school in Russia.
Lomonosov and Euler: A Misunderstood Genius and His Defender
Mikhail Lomonosov worked in the Academy during the same years as Euler. Lomonosov was a brilliant, fiery, often abrasive figure — too early for Russia, in some sense. His country admired him as a poet but misunderstood him as a scientist.
At one moment, Academy officials, who disliked his temper, asked Euler to give a negative assessment of Lomonosov’s scientific writings. Instead, Euler declared them genius. This unexpected verdict thwarted attempts to discipline or marginalize Lomonosov — an episode that shows Euler’s intellectual integrity and the uneasy politics of the Academy.
Nineteenth-Century Russia: Ostregradsky, Bunyakovsky, Lobachevsky
After Euler and Lomonosov came the Russian-born generation.
Mikhail Ostrogradsky: The First Great Russian Mathematician
The first native mathematician whose work equaled that of leading Europeans. Active in the early 1800s, he became a foundational figure in analysis and mechanics.
What he discovered, what he invented, and why he mattered
When people say that Ostrogradsky was the first native Russian mathematician comparable to the leading European analysts, they mean something very specific: he created original, deep mathematical tools and theories — not merely learned or applied them — and he did so at the cutting edge of 19th-century science.
Below is a breakdown of his actual contributions.