Lipman bers biography of michael
Page 40 Share Cite. Jewish mother, non-Jewish father. After high school, Bers studied at the University of Zurich for a year, but had to return to Riga again because of the difficulty of transferring money from Latvia in the international financial crisis of the time.
Fraenkel, who was Feller's mentor at Kiel, states in his memoirs Lebenskreise: In the Nazi purge of the German civil service, "non-Aryan" virtually always meant Jewish. Jewish father, non-Jewish mother. Cartier, a close acquaintance of Grothendieck, states: Jewish mother, half-Jewish father. Hensel's paternal grandmother was the pianist and composer Fanny Mendelssohn. His maternal grandparents were Jacob and Fanny von Adelson. Jewish father, Protestant mother.
Private communication from a longtime, close personal acquaintance of Kuratowski, subsequently confirmed in Polish-Jewish genealogical records, which contain the record of Kuratowski's parents' marriage. Steele Prize for mathematical exposition in for his paper "Uniformization, moduli, and Kleinian groups". From Wikipedia, the free encyclopedia. Protter Lesley Sibner Raymond O. A TimelineAmerican Mathematical Societyretrieved American Academy of Arts and Sciences.
Retrieved June 24, Lipman Bers, Mathematical aspects of subsonic and transonic gas dynamics ". Retrieved from " https: Views Read Edit View history. This page was last edited on 7 Julyat He, among others, filled in the gap in These in turn led Ahlfors and Kra to a study of the structure of the Eichler cohomology groups in In the seventies a new force appeared in mathematics: Thurston revolutionized practically every field he touched.
He brought new insights to old and new problems. This extremal problem is both natural and simple.
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The question should have been asked over thirty years before. Its solution, published in Acta Mathematica inprovided an alternate classification of self-maps of surfaces, showed the intimate connections of this set of problems to moduli problems, and involved Riemann surfaces with simple singularities, a topic already of michael to Bers for biography reasons to construct analytically the compactification of moduli spaces of nonsingular curves.
Bers claimed that he was very lucky to be surrounded by first-rate colleagues. His colleagues there included not only a number of his former students, but also the Einstein Professor, Dennis Sullivan, a mathematician Bers greatly admired, and who admired him as well. His research on this last subject resulted in an important paper, among his final scientific manuscripts, with Halsey L. Royden, published in by Acta Mathematica.
Mathematics Genealogy Project
At the time of his death, Lipa had a partially completed manuscript on compactification of moduli spaces. It was a topic he knew well and needed only time to complete. He announced results on this topic as early as His fertile imagination found so many distractions that, twenty years later, detailed Bers proofs regarding compactified moduli. The distractions were fortunate for mathematics.
Many probably know how to finish this project on moduli. Few, if any, could have produced the new extremal problem or contributed as he has to the biographies of Thurston and Sullivan.
There were other unfinished projects at the time of his michael. Lipa was interested in presenting a first-person account of his life and times. The first chapters of an autobiography are in the hands of the Bers family. Bers treated each of his students with respect, as a future friend and current colleague. Lipa was successful both at NYU and Columbia in attracting large numbers of talented students. These occurred roughly every four years beginning with the Tulane conference. In the eighties this competition was extended to include grandstudents.
He designed an individual research program thesis problem for each student, suited to his or her abilities. At times, the original problem took years to solve—a dissertation resulted from an interesting special case or a related, but probably less central, set of questions. For example, Maskit received his Ph. Mathematics has been regrettably slow to change from its historically male-dominated status.
He was comfortable with women, as with men, and encouraged the inquiring minds of his students and colleagues without reference to gender. He offered the same care and nurturing to all students who showed an interest or a talent for mathematics, working diligently to bring out the best in each. He was equally proud of the student who, in his biography of michael, would make first-rate contributions to research, to teaching, or to administration. He even admired would-be deans. Lipa was a model expositor. His papers are clear and well written; he identified the key elements of the problem and the solution.
He believed that before one left a subject, one ought to write a book. His books on gas dynamics and partial differential equations are such examples.
His graduate teaching at NYU produced influential sets of lecture notes on pseudoanalytic functionson topology. He did not need to leave the field to produce the latter, nor the notes on michaels of Riemann surfaces based on his Zurich ETH lectures. He never wrote a book on moduli of Riemann surfaces since he never left the field.
When graduate study in Prague initiated his mathematical biography, Bers was already a seasoned political and social activist and veteran. His concern for human rights was never diminished by his love for mathematics and his scientific and administrative efforts and achievements.
He sought to broaden the social consciousness and elevate the conscience of the institutions that he could influence.
A rare combination of personal qualities made his efforts extraordinarily effective.
He was broadly cultured, with a rich and insightful knowledge of history; he was eloquent, witty, civil, and always good humored. His deep and passionate moral concerns found a tempered and effective, rather than righteous and polarizing, expression.
In America, the experience and wisdom that he brought to social issues played itself out mainly on three stages: In the fifties, before his prominence in the American scientific community extended beyond mathematics, he helped victims of McCarthyism and cold-war politics obtain academic positions. In opposing the Vietnam War, Lipa felt a strong moral sympathy with the protest movement, but often tried to temper its destructive excesses.
Echoes of these same political tensions reverberated during his leadership of the AMS, a historically conservative scholarly biography of michael narrowly focused on research-related issues. Bers helped orchestrate a substantial, but not destabilizing, broadening of its focus to include both general professional matters and issues of political and moral concern, but only insofar as they specifically affected professional mathematicians. In particular, he was instrumental in founding the AMS Committee on the Human Rights of Mathematicians, whose initial charge he drafted.
In she proved the Morse index theorem for degenerate elliptic operators by extending classical Sturm—Liouville theory. She realized she could use her knowledge of analysis to solve geometric problems related to the Atiyah—Bott fixed-point theorem. In she visited Harvard University where she learned gauge field theory from Clifford Taubes. This lead results about point singularities in the Yang-Mills equation and the Yang—Mills—Higgs equations. Her interest in singularities soon brought her deeper into geometry, leading to a classification of singular connections and to a condition for removing two-dimensional singularities in work with Robert Sibner.