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Chiungtze C. Tsen (; Chang-Du Gan: sɛn˦˨ tɕjuŋ˨˩˧ tsɹ̩˦˨ April 2, 1898 – October 1, 1940), given name Chiung (), was a Chinese
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
born in
Nanchang, Jiangxi Nanchang (, ; ) is the capital of Jiangxi Province, People's Republic of China. Located in the north-central part of the province and in the hinterland of Poyang Lake Plain, it is bounded on the west by the Jiuling Mountains, and on the eas ...
. He is known for his work in algebra. He was one of
Emmy Noether Amalie Emmy NoetherEmmy is the ''Rufname'', the second of two official given names, intended for daily use. Cf. for example the résumé submitted by Noether to Erlangen University in 1907 (Erlangen University archive, ''Promotionsakt Emmy Noethe ...
's students at the
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded ...
. One of his research interests was
quasi-algebraic closure In mathematics, a field ''F'' is called quasi-algebraically closed (or C1) if every non-constant homogeneous polynomial ''P'' over ''F'' has a non-trivial zero provided the number of its variables is more than its degree. The idea of quasi-algebrai ...
. In that area he proved a fundamental result which is now called
Tsen's theorem In mathematics, Tsen's theorem states that a function field ''K'' of an algebraic curve over an algebraically closed field is quasi-algebraically closed (i.e., C1). This implies that the Brauer group of any such field vanishes, and more generally t ...
.


Biography

Tsen was born in a poor fisherman's family in Xinjian Country,
Nanchang Nanchang (, ; ) is the capital of Jiangxi Province, People's Republic of China. Located in the north-central part of the province and in the hinterland of Poyang Lake Plain, it is bounded on the west by the Jiuling Mountains, and on the east ...
,
Jiangxi Jiangxi (; ; formerly romanized as Kiangsi or Chianghsi) is a landlocked province in the east of the People's Republic of China. Its major cities include Nanchang and Jiujiang. Spanning from the banks of the Yangtze river in the north int ...
Province. His father Tschu-Wun Tsen ( Zeng Zuwen) had two sons and several daughters, and Tsen was the eldest son. His uncle Lei Heng (), who was a ''
jinshi ''Jinshi'' () was the highest and final degree in the imperial examination in Imperial China. The examination was usually taken in the imperial capital in the palace, and was also called the Metropolitan Exam. Recipients are sometimes referre ...
'' and a member of the
Hanlin Academy The Hanlin Academy was an academic and administrative institution of higher learning founded in the 8th century Tang China by Emperor Xuanzong in Chang'an. Membership in the academy was confined to an elite group of scholars, who performed sec ...
, persuaded Tsen's father to send Tsen to school. Due to poverty, Tsen had to take leaves from school intermittently to work. After leaving primary school, he worked in a coal mine while self-studying. In 1917, he passed the entrance examination and was admitted to Jiangxi Provincial First Normal College in Nanchang. He was subsidised by Lei Heng's son Tsebu S. Lee ( Lei Zibu, given name 宣 Xuan), who was studying in Japan on government scholarship. After graduation in 1920, Tsen taught in primary school for two years. In 1922, Tsen entered National Wuchang Senior Normal College, later National Wuchang University, to study undergraduate mathematics, and he graduated in 1926. After graduation, he worked as teacher in high schools for two years to perform the mandatory teaching service of his degree. In 1927, when
Kuomintang The Kuomintang (KMT), also referred to as the Guomindang (GMD), the Nationalist Party of China (NPC) or the Chinese Nationalist Party (CNP), is a major political party in the Republic of China, initially on the Chinese mainland and in Tai ...
split with the
Chinese Communist Party The Chinese Communist Party (CCP), officially the Communist Party of China (CPC), is the founding and One-party state, sole ruling party of the China, People's Republic of China (PRC). Under the leadership of Mao Zedong, the CCP emerged victoriou ...
, Tsen and some teachers and students protested against the breakup and called for alliance. Several of them including Tsen were beaten up and were sent to hospital.
Guo Moruo Guo Moruo (; November 16, 1892 – June 12, 1978), courtesy name Dingtang (), was a Chinese author, poet, historian, archaeologist, and government official. Biography Family history Guo Moruo, originally named Guo Kaizhen, was born on November ...
, then serving as director of the political department of the
National Revolutionary Army The National Revolutionary Army (NRA; ), sometimes shortened to Revolutionary Army () before 1928, and as National Army () after 1928, was the military arm of the Kuomintang (KMT, or the Chinese Nationalist Party) from 1925 until 1947 in China ...
, visited them in the hospital. In 1928, Tsen passed the Jiangxi provincial government scholarship examination for studying in Europe and America. He went to
Berlin University Humboldt-Universität zu Berlin (german: Humboldt-Universität zu Berlin, abbreviated HU Berlin) is a German public research university in the central borough of Mitte in Berlin. It was established by Frederick William III on the initiative o ...
for language training for a year, and then he started studying mathematics at
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded ...
in the summer semester of 1929. He studied algebra under Emmy Noether. Tsen received his doctoral degree in February 1934 under the supervision of Emmy Noether and
Friedrich Karl Schmidt Friedrich Karl Schmidt (22 September 1901 – 25 January 1977) was a German mathematician, who made notable contributions to algebra and number theory. Schmidt studied from 1920 to 1925 in Freiburg and Marburg. In 1925 he completed his doctorate ...
, and he dedicated his dissertation to his elder cousin Tsebu S. Lee. Having fled to the US, Noether evaluated the dissertation in a letter as "sehr gut" (very good). As a research fellow sponsored by the China Foundation for the Promotion of Education and Culture, Tsen did a postdoctoral research with
Emil Artin Emil Artin (; March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent. Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on algebraic number theory, contributing lar ...
at
Hamburg University The University of Hamburg (german: link=no, Universität Hamburg, also referred to as UHH) is a public research university in Hamburg, Germany. It was founded on 28 March 1919 by combining the previous General Lecture System ('' Allgemeines Vor ...
for a year. There he became friend with
Shiing-Shen Chern Shiing-Shen Chern (; , ; October 28, 1911 – December 3, 2004) was a Chinese-American mathematician and poet. He made fundamental contributions to differential geometry and topology. He has been called the "father of modern differential geome ...
, who was a graduate student back then. Chern remembered him as a cordial and open-minded person well-liked by everyone. Tsen returned to China in July 1935 and was invited by
Chen Jiangong Chen Jiangong (; 1893–1971), or Jian-gong Chen, was a Chinese mathematician. He was a pioneer of modern Chinese mathematics.National Chekiang University Zhejiang University, abbreviated as ZJU or Zheda and formerly romanized as Chekiang University, is a national public research university based in Hangzhou, Zhejiang, China. It is a member of the prestigious C9 League and is selected into the na ...
in
Hangzhou Hangzhou ( or , ; , , Standard Mandarin pronunciation: ), also romanized as Hangchow, is the capital and most populous city of Zhejiang, China. It is located in the northwestern part of the province, sitting at the head of Hangzhou Bay, whi ...
as professor in the area of algebra. Chen was Tsen's teacher at Wuchang Senior Normal College and had encouraged Tsen to study in Germany. Tsen taught a course on algebra and a course on group theory based on the German textbooks of
van der Waerden Bartel Leendert van der Waerden (; 2 February 1903 – 12 January 1996) was a Dutch mathematician and historian of mathematics. Biography Education and early career Van der Waerden learned advanced mathematics at the University of Amsterd ...
and
Andreas Speiser Andreas Speiser (June 10, 1885 – October 12, 1970) was a Swiss mathematician and philosopher of science. Life and work Speiser studied in Göttingen, starting in 1904, notably with David Hilbert, Felix Klein, Hermann Minkowski. In 1917 he becam ...
respectively. As the books were in German, it was not easy for the students to understand, so he edited the notes taken by his student
Chuan-Chih Hsiung Chuan-Chih Hsiung (Chinese: 熊全治, Pinyin: Xióng Quánzhì) (1916–2009), also known as Chuan-Chih Hsiung, C C Hsiung, or Xiong Quanzhi, was a Chinese-born American mathematician specializing in differential geometry. He was Professor of Math ...
and printed out for the students. In 1936, Tsen published his third paper in the journal of the new
Chinese Mathematical Society The Chinese Mathematical Society (CMS, ) is an academic organization for Chinese mathematicians, with the official websitwww.cms.org.cn It is a member of China Association of Science and Technology. History The Chinese Mathematical Society (CMS) w ...
. The paper contained the work that he had done in Hamburg, and he dedicated it to the memory of his advisor Noether, who died in the previous year. The paper was hardly known outside China before 1970s, and the results therein were rediscovered by
Serge Lang Serge Lang (; May 19, 1927 – September 12, 2005) was a French-American mathematician and activist who taught at Yale University for most of his career. He is known for his work in number theory and for his mathematics textbooks, including the i ...
in his dissertation.
Ernst Witt Ernst Witt (26 June 1911 – 3 July 1991) was a German mathematician, one of the leading algebraists of his time. Biography Witt was born on the island of Alsen, then a part of the German Empire. Shortly after his birth, his parents moved the ...
, who was Tsen's friend and had also been a student of Noether, always talked about Tsen's results in his algebra lectures and would correct others if they attributed them to Lang but not Tsen, thus helped bring attention to this paper. Tsen and Chen fell out because of a failed matching of Tsen and Chen's younger sister for marriage. In 1937, Tsen left Chekiang University and was invited by National Beiyang Institute of Technology to become a professor. That year, the full-scale Japanese invasion of China started, and the school was evacuated from
Tianjin Tianjin (; ; Mandarin: ), alternately romanized as Tientsin (), is a municipality and a coastal metropolis in Northern China on the shore of the Bohai Sea. It is one of the nine national central cities in Mainland China, with a total popul ...
to
Xi'an Xi'an ( , ; ; Chinese: ), frequently spelled as Xian and also known by #Name, other names, is the list of capitals in China, capital of Shaanxi, Shaanxi Province. A Sub-provincial division#Sub-provincial municipalities, sub-provincial city o ...
. Tsen went to Xi'an to take up his post. The school merged with some other evacuated universities to form National Xi'an Provisory University. The new university moved to
Hanzhong Hanzhong (; abbreviation: Han) is a prefecture-level city in the southwest of Shaanxi province, China, bordering the provinces of Sichuan to the south and Gansu to the west. The founder of the Han dynasty, Liu Bang, was once enfeoffed as the ...
and was renamed to National Northwestern Associated University, and it moved again to
Chenggu Chenggu County () is a county of Hanzhong, in the southwest of Shaanxi province, China. History Unique archaeological evidence on contacts with Xingan culture (Jiangxi) was found there at Sucun. Administrative divisions As 2019, Chenggu Cou ...
. The university soon split into several schools, one of which was National Northwestern Institute of Technology, and Tsen became a professor of this school. In 1939, Shu-tien Li, former president of Beiyang Institute of Technology and the president of the newly-founded National Xikang Institute of Technology, invited Tsen to be a professor at the new school. The campus of the school was temples scattered on in the suburb of
Xichang Xichang, formerly known as Jiandu, Jianchang and Ningyuan(fu), is a city in and the seat of the Liangshan Yi Autonomous Prefecture, in the south of Sichuan, China. In 2012 it had a population of 481,796. History The Qiongdu were the local peop ...
in
Xikang Xikang (also Sikang or Hsikang) was a nominal province formed by the Republic of China in 1939 on the initiative of prominent Sichuan warlord Liu Wenhui and continued by the early People's Republic of China. Thei idea was to form a single unifi ...
Province. Tsen had a chronic stomach problem, and his condition was made worse by poor living condition and shortage of medical supplies in time of war. Tsen died of a
stomach ulcer The stomach is a muscular, hollow organ in the gastrointestinal tract of humans and many other animals, including several invertebrates. The stomach has a dilated structure and functions as a vital organ in the digestive system. The stomach is ...
in
Xichang Xichang, formerly known as Jiandu, Jianchang and Ningyuan(fu), is a city in and the seat of the Liangshan Yi Autonomous Prefecture, in the south of Sichuan, China. In 2012 it had a population of 481,796. History The Qiongdu were the local peop ...
,
Xikang Xikang (also Sikang or Hsikang) was a nominal province formed by the Republic of China in 1939 on the initiative of prominent Sichuan warlord Liu Wenhui and continued by the early People's Republic of China. Thei idea was to form a single unifi ...
on October 1, 1940, and the school held a memorial service for him on November 18, 1940. He married a high-school chemistry teacher Qin Hesui () in Nanchang in 1937. His wife suffered a miscarriage on the long and difficult journey over mountainous terrains to Xichang. They had no children. He adopted a nephew as his son. He bought a lot of mathematics books while in Germany, and he brought the books and his manuscripts back to China in seven full metal trunks. After the start of war, he kept them in his relative's home at a village in Xinjian, Jiangxi. Unfortunately, when the village had fallen, all his seven trunks of books and manuscripts were burnt by the Japanese invaders.


Publications

*Tsen, Chiungtze C. ''Divisionsalgebren über Funktionenkörpern.'' Nachr. Ges. Wiss. Göttingen, Math.-Phys. Kl. I, No.44, II, No.48, 335–339 (1933). *Tsen, Chiungtze C. ''Algebren über Funktionenkörpern.'' Göttingen: Diss. 19 S. (1934). *Tsen, Chiungtze C. ''Zur Stufentheorie der quasialgebraisch-Abgeschlossenheit kommutativer Körper.'' J. Chin. Math. Soc. 1, 81–92 (1936). A Chinese translation of these three papers was published in a book in memory of Tsen.


Short articles

Some short articles written by Tsen in Chinese that can be found: * * *


See also

*
Tsen rank In mathematics, the Tsen rank of a field describes conditions under which a system of polynomial equations must have a solution in the field. The concept is named for C. C. Tsen, who introduced their study in 1936. We consider a system of ''m'' p ...


Notes


References

* __NOTOC__ {{DEFAULTSORT:Tsen, Chiungtze Algebraic geometers Algebraists 1898 births 1940 deaths People from Nanchang Educators from Jiangxi Zhejiang University faculty Mathematicians from Jiangxi Republic of China science writers Writers from Jiangxi University of Göttingen alumni 20th-century Chinese mathematicians Deaths from ulcers