maths research

This page features a collection of mathematicians who died under unfortunate or unfitting circumstances.
Perhaps this is a page in honor of those whose lives ended in an unpleasant fashion
I believe this page, at its best, would serve to memorialize these mathematicians.
In the worst case, one might try to use this page as a resource for the history of mathematics - this is meant neither as a resource for specific details of mathematicians lives, nor as any kind of thesis making any claims about mathematicians in general. These narratives are generalizations and potentially apocryphal.
Note that these entries have been sorted by age at death.

Évariste Galois	1811-1832 (20, killed) Presumably the youngest to qualify for inclusion on this list, Galois died at a meagre 20 years. He was shot in the stomach, and a full day later died, in hospital. The circumstances surrounding his death are not entirely known, only that he was killed in a duel. Speculation tends to indicate that the duel was motivated either by a matter related to his involvement with the radical Républicain movement, or by conflict arising from a romantic entanglement. The duel occurred only a month after his release from a six-month incarceration stemming from his disrutpive political activities. Having predicted defeat, Galois jotted down what would become his mathematical legacy, on the eve of the duel. Sadly, his last words were: "Ne pleure pas, Alfred! J'ai besoin de tout mon courage pour mourir à vingt ans!"
Vladimir Markov	1871-1897 (25, tuberculosis) Brother to the older Andrei Markov, this Markov died of tuberculosis at only 25, despite having already established a reputation as a formidable mathematician. [More information about this mathematician would be greatly appreciated!]
René Gâteaux	1889-1914 (25, killed) A promising analyst, Gâteaux was killed during World War I. Gâteaux was born in the same town as Abraham de Moivre, and he was well regarded by his peers at the École Normale Supéerieure. Gâteaux was a fairly well-decorated soldier and was recalled for service in the war. He was killed during a retreat early in the conflict in France. Jacques Hadamard admired Gâteaux and worked to have the Prix Francoeur awarded to him posthumously.
Pavel Urysohn	1898-1924 (26, drowning) Urysohn is best known for his contributions to topology, especially in defining and expanding the definitions of dimension and compactness. He studied at Moscown Univeresity and became a professor there, but drowned while swimming in the sea, on vacation in France. He was accompanied by his colleague and friend, Pavel Alexandrov. It is believed that Alexandrov was incredibly distressed by this tragedy, and deeply regretted his inability to save his friend.
Niels Abel	1802-1829 (26, pneumonia) Plagued by poverty and a lack of reknown, Abel and his work went unrecognized during his lifetime. He spent time in Paris hoping to gain recognition and publish his work, but was unable to afford adequate means to sustain his health. In addition to being underfed, Abel contracted pneumonia. His pneumonia worsened on a trip to visit his fiancée for Christmas. He soon died, only two days before a letter arrived indicating that a friend had managed to find secure him a place as a professor in Paris. He never saw his work take root, nor did he ever secure a paying job as a mathematician, nor did he have opportunity to marry his fiancée.
Frank Ramsey	1903-1930 (26, jaundice) Ramsey is known for his work in mathematics, specifically combinatorics and logic/foundations, but is also remembered as a gifted philosopher and economist. Ramsey suffered from lifelong liver problems, and was often unable to focus on work for more than a few hours a day. In spite of this, he gained reknown as a promising young philosopher and mathematican, until a severe attack of jaundice hospitalized him in 1930. He died during an operation meant to alleviate the problem.
Srinivasa Ramanujan	1887-1920 (32, malnutrition/hepatic amoebiasis) The story of Ramanujan is well known among mathematicians, if not in general. Described as a prodigy, savant, genius, etc., Ramanujan taught himself mathematics as a youth and began to devise results in analytical number theory and other areas of mathematics in isolation. He was quite poor and unable to afford school, and his exclusive devotion to mathematics precluded him from scholarship funding. He spent much of his life seriously ill, and spent a fair amount of time unable to secure any position as a scholar or mathematician. Eventually, he came to England to work with G.H. Hardy. Sadly, his long-term illness continued, and he succumbed to a combination of malnutrition and a parasitic liver infection.
Alan Turing	1912-1954 (41, suicide) Turing is famed for his work in code-breaking and in the foundations of computer science. Turing is also remembered as a victim of anti-gay persecution in Britain. In 1952, a sexual partner of his plotted to blackmail him (as homosexual relations were illegal), and Turing was eventually forced to go to the police. He was tried and convicted of "gross indecency." Instead of prison, Turing opted for estrogen injections (intended to reduce libido). However, times were stressful due to anti-gay persecution and fear of Soviet espionage. Turing committed suicide in 1954, by eating a cyanide-laced apple, although the circumstances of his death were ambiguous enough (deliberately) so that his mother could maintain, for her own sake, that it was an accident.
Stanisław Saks	1897-1942 (44, murdered) Saks was an important figure in the development of the theory of integration and measure, and a frequent visitor of the " Scottish Café." He is remembered as a great mathematician, and as a an inpsipiring person who helped shape the follow generation of young mathematicians. Saks was a member of the Polish army (or undeground, it is unclear which he was in, or whether he was in both). The army retreated to Lvov, home of the famous Scottish Café, but in 1941, Lvov was also invaded. Saks fled Lvov, back to Warsaw, where he may have continued to work in Polish underground. There, in 1942, he was captured and executed by the Gestapo.
Dénes Kőnig	1884-1944 (60, suicide) The Nazi occupation of Hungary led to a series of anti-semetic atrocities. Kőnig was sympathetic to the plight of his persecuted colleagues, and worked to ease their suffering. The atrocities were their worst when the Hungarian National Socialist Party seized political power, and this led Kőnig to commit suicide days after the coup d'état.
Dmitri Egorov	1869-1931 (61, starvation) Egorov made important contributions in the areas of analysis, differential geometry, and integral equations, including a fundamental result named for him in real analysis. Luzin was Egorov's first student, and was one member of a school that developed under Egorov to study real functions. Egorov became a leader and administrator in the Moscow Mathematical Society and at the Institute for Mechanics and Mathematics at Moscow Sate University. Egorov became a vocal opponent to the anti-religious persecution in the time following the Russian revolution, and was dismissed from the IMM. However, he remained active and well-respected in his position in the MMS, supported by his peers in the organization. Outside influences began to manipulate the society, and within a year, Egorov was dismissed from his position and arrested. He went on a hunger strike in prison and died in the prison hospital (or, as some reports state, at a colleague's home).
Ludwig Boltzmann	1844-1906 (62, suicide) Famous for his contributions to statistical mechanics and thermodynamics, and for his push towards the "atomic model" of the universe, Boltzmann was remembered by those close to him as suffering from severe bouts of depression, due to what is retroactively presumed to be either bipolar disorder or atypical depression. While on vacation with his family, Boltzmann hanged himself. Although his work was accepted by some and refuted by others, it is believed that this was not necessarily the motivation for this suicide (instead owing at least in part to his mental condition as well).
Issai Schur	1875-1941 (66, heart attack) Issai Schur is well known for his contributions to algebra, and to me personally for his theorem on monochromatic solutions to x+y=z. However, Schur was one of many Jewish mathematicians eventually displaced from Germany during the rise of Hitler and the beginnings of the second World War. Schur believed himself as much a German as his non-Jewish colleagues, but he was dismissed from his position in Berlin and was eventually so humiliated as to have borrowed money to pay the fee that Jewish refugees were charged to flee Germany. Having fled to Palestine, Schur lobbied unsuccessfully for a position elsewhere, particularly in the USA. Unable to find any such position, Schur died on his 66th birthday, in Palestine, of a heart attack. Schiffer can be credited for recounting an even that may best characterize the painfully unfortunate circumstances of Schur's life after that:Schur told me that the only person at the Mathematical Institute in Berlin who was kind to him was Grunsky, then a young lecturer. Long after the war, I talked to Grunsky about that remark and he literally started to cry: "You know what I did? I sent him a postcard to congratulate him on his sixtieth birthday. I admired him so much and was very respectful in that card. How lonely he must have been to remember such a small thing." This entry was inspired by the comments of Prof. V. Retakh, and some of the information was also found in Schur's MacTutor biography.
Kurt Gödel	1906-1978 (71, starvation) The story of Gödel's death is a particularly tragic one. Most famous for his (in)completeness theorems and other breakthroughs in mathematical logic, Gödel was well-known for bouts of paranoia. Later in life, he was convinced that his food was being poisoned. He refused to eat food unless his wife tasted it first, and when she fell ill, Gödel refused to eat. He then slowly died of starvation, refusing all food. Already weakened by a restricted diet (due to ulcers), Gödel wasted away to only 65 pounds at the time of his death.
Georg Cantor	1845-1918 (72, heart attack) Cantor is credited with revolutionizing set theory by introducing the arithmetics of (infinite) ordinal and cardinal numbers. His work was of great mathematical and philosophical importance, but it was widely criticized (quite harshly and viciously), by the likes of Poincaré, Wittgenstein, and most notably Kronecker. Kronecker was head of Cantor's department, and devoted a fair amount of energy in opposition to Cantor's work. The circumstances of not just his death, but his life, caused Cantor a great deal of misery. Although he lived to be quite old, he died impoverished, underfed, confined to a sanitorium due to depression, of a heart attack.
Archimedes	287-212 (75, killed)^† Often considered to be the greatest mathematician of Antiquity, Archimedes was prized as a philosopher and mathematician. He is well known for his contributions to mathematics, philosophy, science, and engineering. He is famed for use of the word "Eureka!" During the seige of Syracuse, it was ordered that Archimedes not be harmed. However, in a misunderstanding that is not well-documented, a Roman soldier cut Archimedes down by sword, in spite of the standing order to the contrary. It is sometimes said that Archimedes' compass and/or straightedge was mistaken for a weapon; however this is apocryphal.
Issac Newton	1643-1727 (84, natural causes) Despite living a long life, Newton's health is famously poor. As a child, Newton was poor, unathletic, and often ill. As an elderly man, Newton was eccentric and engrossed in contentious philosophical and religious debates. Upon his death, it was discovered that his body had a high concentration of mercury, which likely contributed to his poor health (and eccentricity).
Abraham de Moivre	1667-1754 (87, natural causes) Despite being a gifted and reknowned mathematician in France, de Moivre spent much of his life in poverty. He was a Calvinist, and when the Edict of Nantes was revoked in 1685 (a decision that is unequivocally considered to have damaged France), de Moivre left France for England. He remained virtually destitute, de Moivre was unable to secure employment and was often known to play chess for money in order to affor sustinance. Eventually succumbing to the ravages of poverty and old age, de Moivre predicted the day of his own death using a simple arithmetic progression in the number of hours he slept per day. The day he predicted 24 hours of sleep was the day he died.
Alexander Grothendieck	1925-? (disappeared) Grothendieck is considered to be one of the most important mathematicians of the 20th century. Born to a mixed Russian-German anarchist family in 1925 Berlin, his parents fought in the Spanish Civil War and his father was ultimately killed by Nazis during the second World War. Grothendeick was a staunch and vocal pacifist and this lead him to abandon most of his mathematical work in 1972, due to the ties between research mathematics and defense science and other governmental/military influences. He won the Fields medal in 1966, but declined the Craford prize in 1988, the year of his complete retirement. Grothendieck entered seclusion in 1991 and his precise location is unknown. Note: Since the creation of this page, Grothendieck was discovered to have died in 2014. He did, indeed, live in seclusion for many years, having withdrawn from mathematics until his death.

	10¹	10²	10³	10⁴	10⁵	10⁶	10⁷	10⁸	10⁹	10¹⁰
N natural	10	19	109	199	1099	1999	10999	19999	109999	199999
N even	5	9	49	89	489	889	4889	8889	48889	88889
N odd	5	10	60	110	610	1110	6110	11110	61110	111110
N Squares	4		7		14	15	20		31
N Cube	3		4	5			7			8
N Prime	4	5	20		113		781		5953

maths research

Wednesday, 26 July 2017

Palindromic number or numeral palindrome

Monday, 17 July 2017

Maryam Mirzakhani, Only Woman Mathematician to Win a Fields Medal, Dies at 40

mathematicians who died under unfortunate or unfitting circumstances.

Évariste Galois

Vladimir Markov

René Gâteaux

Pavel Urysohn

Niels Abel

Frank Ramsey

Srinivasa Ramanujan

Alan Turing

Stanisław Saks

Dénes Kőnig

Dmitri Egorov

Ludwig Boltzmann

Issai Schur

Kurt Gödel

Georg Cantor

Archimedes

Issac Newton

Abraham de Moivre

Alexander Grothendieck