PROFESSIONAL "GENEOLOGY": MY TEACHERS' TEACHERS' TEACHERS



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Although I am something of an autodidact, I have had some significant teachers. When I began to trace whom the teachers were of my teachers, and who were their teachers before them, quite a number of prominent names emerge. Albert Einstein, Ezra Pound, Bertrand Russell... Going back to the 1600s in Mathematics, the coinventor of Calculus (simultaneously with Newton) Gottfried Wilhelm Leibnitz. In Astronomy, I can trace back to about 1600, with Christiaan Huygens, who discovered the Rings of Saturn, and his mentor, Descartes. Further back, to the 1400s, come the revolutionary anatomists: Vesalius and Fallopius. Then, more than 24 generations before me, the Islamic medicine faculty at the University of Montpellier. Quite a journey in time and imagination! Almost all the links shown are formal student-teacher connections in colleges, universities, or master classes/tutorials... Below, I give a very partial diagramming of my heritage in these domains: Music, Poetry, Science/Philosophy, Science/Physics, Computers and Mathematics, and Acting/Theatre. Coming soon: Fiction, Karate, Politics, Business. Music (Guitar) Literature (Poetry) Science (Philosophy) Science (Physics) Science (Astronomy) Science (Math/Computers) Acting/Theatre

MUSIC (Guitar):

Andres Segovia | | Christopher Parkening | | Barry Eisner (Brookdale Community College) | | Jonathan Vos Post
Andres Segovia [1893-1987], from Spain, was the most famous guitarist of all time. He brought the classical guitar from its folk- and dance-related image to the symphonies and concert halls of the most established musical prominence. He developed an approach to plucking the guitar strings with the fingernails of the right hand, which became the dominat school of guitar, displacing the gentler and more lyrical Neapolitan school which used the fingertips. Christopher Parkening is arguably the greatest American performer of Classical Guitar. After a year of intensive Classical Guitar at Brookdale Community College, under Christopher Parkening's master student Barry Eisner, I was able to play a few baroque pieces and original compositions at community college concerts, and then retired to the occasional original song at Woodstock, various parties and resorts, and while hitchiking across America, singing for my supper. See also Donald Justice and Carl Ruggles in the "Poetry" section, below.

POETRY:

Robert Hillyer | | Ezra Pound Theodore Roethke | | | Thom Gunn | Charles Olson | Jenijoy LaBelle | | (Caltech) | Diane Wakoski | Robert Kelly \ | / Jonathan Vos Post
Ezra Pound [1885-1972] {to be done} He edited T. S. Eliot's "The Wasteland." Charles Olson [1910-1970] {to be done} see: Charles Olson Robert Silliman Hillyer [1895-1961] was a master of the sonnet. Some fine examples online may be found at Robert Hillyer. Theodore Roethke [1908-1963] was a close friend of W. H. Auden [who lived around the corner from me in Brooklyn Heights], Louis Bogan, Stanley Kunitz, and William Carlos Williams. His students included David Wagoner, Carolyn Kizer, and Richard Hugo. His collection "The Waking" won a Pulizer Prize [Poetry, 1954]. Diane Wakoski [1937-] was born in Whittier, California, where the college football team is called "The Poets." She studied at the University of California, Berkeley, under Thom Gunn, Josephine Miles, and Tom Parkinson. Her early work is of the "Deep Image Movement" whose colleagues include Jerome Rothenberg and Robert Kelly. She was also influenced by Allen Ginsberg and William Carlos Williams. The later of her 40 books show the conversational and personal mode of William Carlos Williams. She teacher creative writing at Michigan State University. Thom Gunn [29 Aug 1929-25 Aug 2004], a MacArthur Fellow and Guggenheim Fellow, in turn, also studied under the controversial major critic Yvor Winters [17 Oct 1900-xx 1968]. Winters' other students included Philip Levine, and Poet Laureate Robert Pinsky. I also studied under James Tate [Pulitzer Prize, Poetry, 1992] at University of Massachusetts at Amherst, as well as Robert Francis, a student of Robert Frost who won Pulitzer prizes 1931,1937,1943). Also took several courses from J. Kent Clark at Caltech, and xxxx. James Tate, in turn, was a student of Pulitzer- and -Bollinger-Award winner Donald Justice [12 Aug 1925-9 Aug 2004] who was offered the Poet Laureate position, but declined for matters of health. Donald Justice's students included Jorie Graham, Charles Wright, James Tate, poet laureate Mark Strand, poet laureate Rita Dove, and novelist John Irving. Donald Justice originally studied Music under Carl Ruggles, and was later a librettist. See also the Gottfried Wilhelm Von Leibnitz description in the Math geneology.

SCIENCE/PHILOSOPHY:

John McTaggart | | G. E. Moore | | Bertrand Russell | | Norbert Wiener | | Michael Arbib | | Jonathan Vos Post
John McTaggart Ellis McTaggart [1866-1925] was a Fellow of Trinity College, Lecturer in Moral Sciences, and a Nonreductionist. He was the author of "Studies in Hegelian Cosmology. The Philosophy of Hegel" [Dissertation, 1898; 1901; Garland, 1984]. This work explored application of a priori conclusions derived from the investigation of pure thought to empirically-known subject matter; human immortality; the absolute; the supreme good and the moral criticism; punishment; sin; and the conception of society as an organism. McTaggart was controversial for claiming that time was unreal: "The Nature of Existence" [Cambridge University Press, 1921]; "The Unreality of Time" [Mind, vol. XVII]. G. E. Moore (George Edward Moore) [4 Nov 1873-24 Oct 1958] was an English Realist Philosopher, and a leading anti-Idealist. His major publications include "Principia Ethica" [Cambridge, 1903; 1993]; "Ethics" [London, 1912]; Philosophical Studies [London, 1922]; "Some Main Problems of Philosophy" [London, 1953]; Philosophical Papers" [London, 1959]; and various posthumously edited volumes. Bertrand Russell [1872-1970] was the great Philosopher/Logician who studied with Wittgenstein and G. E. Moore, wrote "Principia Mathematica" with Alfred North Whitehead, had a major impact on Analytic Philosophy, was a best-selling popular author, was jailed for anti-war protests, and won the Nobel Prize (1950, Literature). Norbert Wiener [1897-March 1964] was the creator of Cybernetics, who studied under G. H. Hardy and Bertrand Russell by fellowship. He received his Ph.D. in the Philosophy of Mathematics at Harvard at age 18, under Josiah Royce [1855-1916] -- the foremost American Idealist; under Philosopher/Poet George Santayana [1863-1952]. Norbert Wiener then studied at Gottingen under David Hilbert [23 Jan 1862-14 Feb 1943].

SCIENCE/PHYSICS:

Neils Bohr Albert Einstein, Hans Bethe, Freeman Dyson | \ | / | \ | / John Archibald Wheeler J. Robert Oppenheimer Julius Stratton \ | / \ | / Richard Feynman (Caltech) | | Jonathan Vos Post
Albert Einstein [14 Mar 1879-18 Apr 1955]was, with good cause, Time Magzine's "Man of the Century." My mother almost ran over him with a car on the streets of Princeton. My great-uncle Martin Vos took a famous photograph of him, during the course of which they discussed previous portrait's taken by Martin Vos of Tagore and Ramanujan. J. Robert Oppenheimer [22 Apr 1904-18 Feb 1967] is considered the father of the atomic bomb, as he was the Director and head scientist of the Manhattan Project. He earned his B.S., summa cum laude, at Harvard in 1925: a 4-year Chemistry program completed in 3 years. He studied at Cambridge and Gottingen, receiving his Ph.D in 1927. He taught at the University of California at Berkeley, and at Caltech. For his opposition to developing the Hydrogen Bomb, and under political attack by Edward Teller, J. Robert Oppenheimer lost his security clearance. Richard Feynman [11 May 1918-1988] was the bongo-playing safe-cracking Nobel Laureate in Physics at Caltech. He was born in Queens, New York, then went to school near Carnarsie High School, where a mentor of his (for whom he polished test tubes) was later an elderly Electrical Engineering teacher of mine at Stuyvesant High School. Feynman graduated MIT in 1936, then went to Princeton. At the Manhattan Project, brought there by J. Robert Oppenheimer, Feynman's Physics mentors included Hans Bethe. Feynman wrote the best-selling Physics textbook of the 20th century, "Feynman's Lecture Notes in Physics," and then a string of popular best-sellers. His life has been adapted for stage (starring Alan Alda), and in a feature film "Infinity." He was the subject of the award-winning biography "Genius." Other teachers of his were George Hamilton, Philip Morse, and John Clark Slater at MIT. Feynman's Art Guru and close friend was the Armenian painter/sculptor Zirayr Zorthian. Feynman introduced me to Zorthian, at whose ranch above Altadena (where I was a frequent guest) came visitors such as Charlie Parker, Bob Dylan, Andy Warhol, and many other bohemians from around the world. In January 2004, I spoke at Zirayr Zorthian's funeral, in the same cemetery where Richard Feynman and his wife are buried. John Archibald Wheeler (at Princeton), Richard Feynman's teacher, coined the term "black hole." A distinguished scientist, his students of Einstein's General Relativity include Kip Thorne, now at Caltech. John Archibald Wheeler's teachers included Neils Bohr. Julius Stratton [18 May 1901-June 1994], another of Richard Feynman's teachers, was later President of MIT. Hans Bethe [1907-???], one of Richard Feynman's mentors, lived in Strasbourg, and fled the Nazi Germans in 1933. He figured out the Sun's "Carbon Cycle" of thermonuclear fusion reactions, which won him a Nobel Prize [Physics, 1967]. Neils Bohr [7 Oct 1885-18 Nov 1962], one of John Archibald Wheeler's teachers, was born in Copenhagen, Denmark. He studied at the University of Copenhagen, where he received his Ph.D. in 1911. He met Einstein in 1920. In 1921 he founded and directed The Institute of Theoretical Physics. He won a Nobel Prize [Physics, 1972]. His students who won Nobel prizes include: Felix Bloch [1952], Max Delbruck [1969, while at Caltech], Linus Pauling [1954, and later taught at Caltech], and Harold Urey [1934]. He said: "Anyone who is not shocked by quantum theory has not understood it."

SCIENCE/ASTRONOMY:

Neils Bohr | | John Archibald Wheeler | | Edward Stone, Kip Thorne, Jesse Greenstein (all at Caltech) \ | / \ | / Jonathan Vos Post
Edward Stone is a professor at Caltech, and former Project Scientist for the NASA/JPL Voyager Mission, later promoted to Jet Propulsion Laboratory Director. I took Physics from him as an undergraduate, and then worked on the Voyager Uranus Interstellar Mission, where he intervened to force certain things such as the flyby of the moon Miranda according to my calculations (multiple integrals defining an ellipsoid of uncertainty in 9 dimensions, with a nonlinear function modeling the estimated quality of imaging of targeted portions of the icy surface of Miranda). Kip Thorne is a leading expert on General Relativity, and a close collaborator with Stephen Hawking. See: Kip Thorne John Archibald Wheeler is described in the section on Science/Physics, above on this web page. Jesse Leonard Greenstein [15 Oct 1909-21 Oct 2002] was born in New York City, and educated at Harvard. He worked at Yerkes Observatory, then became founding head of the Graduate Program in Astronomy at Caltech, which he built to be the strongest such department in the world. He was a spectroscopist, with strengths in both theory and instrumentation. His research covered the interstellar medium, the cosmic abundances of elements and isotopes, white dwarfs, and peculiar stars. He was an early supporter of Radio Astronomy, and co-discovered Quasars, with Maarten Schmidt in 1963. My father, Samuel H. Post, took Astronomy from Fred Whipple, at Harvard: the man who invented the correct "dirty snowball" theory of comets. See also Astronomer/Mathematician Von Littrow in the below Math geneology. See also Christiaan Huygens in the below Math geneology. Also, Friedrich Wilhelm Bessel.

SCIENCE/COMPUTERS/MATH:

[Islamic Medicine faculty at University of Montpellier] | | Jacobus Sylvius | | Andreas Vesalius | | Gabriel Fallopius | | Girolamo Frabrizio | | Paolo Sarpi | | Arnaud du Ferrier | | Jacques Cujas | | Joseph Justus Scaliger | | Isaac Beeckman | | Rene Descartes | | Christiaan Huygens | | Gottfried Leibnitz | | Jacob Bernoulli | | Johann Bernoulli | | Leonhard Euler | | Joseph Louis Lagrange | | Simeon Poisson / / Michel Chasles J. J. Von Littrov | | | | H. A. Newton Nikolai Dmitrievich Brashman | | | | E. H. Moore Pafnuty Lvovich Chebyshev | | | | Oswald Veblen Andrei A. Markov \ | \ Jacob David Tamarkin G. H. Hardy, Alonzo Church | David Hilbert | | | | | Norbert Wiener Alan Turing D. H. Lehmer | | | | | | M. Arbib, Oliver Selfridge Tom M. Apostol (U.Mass./Amherst) Caltech \ | / \ | / Jonathan Vos Post
In the Science/Philosophy section, I traced my intellectual ancestry through the 2nd-rate M. Arbib to the prodigious Norbert Wiener, who in turn studied under G. H. Hardy, and David Hilbert. G. H. Hardy [7 Feb 1877-1 Dec 1947] was the greatest British mathematcian of the 20th century. He was born in Cranleigh, Surrey, England, and died in Cambridge. G. H. Hardy lectured at Trinity College [1906-1919], held the Savilian Chair of Geometry at Oxford [1919-1931], and the Sadlerian Chair of Mathematics at Cambridge. He was a pure mathematician, contemptuous of applications. Yet he wrote an important paper on mathematical genetics, relevent to human blood groups. He hated mirrors; only 5 snapshots of him exist. Hardy is forever linked in history to his two great collaborators: J. E. Littlewood and Ramanujan. As mentioned in the description of Einstein, my great-uncle photographed a famous portrait of Ramanujan. More {to be done} David Hilbert [23 Jan 1862-14 Feb 1943] is recurrently in the news as mathematicians today attack and sometimes announce solving one of "Hilbert's Problems" -- a list of 21 unsolved mathematical problems which Hilbert published in 1900 as a challenge for the entire 20th Century. Hilbert's intent to provide a complete axiomatization of Mathematics failed, after Russell & Whitehead made a brilliant start with the 3-volume "Principia Mathematica", because Kurt Godel conclusively demonstrated that, for any consistent mathematical system large enough to include arithmetic, there would always be true theorems that could not even in principle be proved true, and false theorems that could not even in principle be proved false. Hilbert nontheless influenced almost every major field of Mathematics. His famous students included Herman Weyl, chess champion Lasker, and logician Zermelo. He died in Konigsberg, Prussia, which is now known as Kaleningrad, Russia. Oliver Selfridge [xxxx-], grandson of the founder of "Selfridge's" in London, is the "Father of Machine Perception." He was acknowldged for reviewing the 1949 draft of Norbert Wiener's seminal book "Cybernetics." He was involved with McCullough, Pitts, and other founders of the field of Cybernetics, and also in the early days of Artififical Intelligence. At MIT, Selfridge was technically a supervisor of Marvin Minsky, who is the head of Artificial Intelligence at MIT. Oliver Selfridge came to MIT from London at the age of 14 "to study with the gerats." He organized the first ever public meeting on Artificial Intelligence (AI) with Minsky (1953). He wrote important early papers on Neural Nets (1948); and Pattern Recognition and Learning (1955). His "Pandemonium" paper (1958) is recognized as the beginning of breakthroughs in several fields. He spent his career creating projects at Lincoln Laboratories; Bolt Beranek and Newman, and GTE Laboratories where (in Boston) he became Chief Scientist. Besides authoring several technical books, he had several childrens books published. He served as a member of the NSA Advisor Board for 20 years, chairing the Data Processing Panel for the last 15 of those. He served on various advisory panels for to the White House, as well as the peer review committee for the NIH. At MIT he was Associate Director of Project Mac (large scale time sharing) and then the Cambridge Project. In 1975 he became Senior Scientist at BBN, and in 1983 as Chief Scientist at GTE Labs, Computer and Information Systems Laboratory. He retired in 1993, but remains active in Machine Learning, AI, and self-improving systems. Alan Turing [23 June 1912-7 June 1954] invented the first British computer, for cryptography to crack the German "Enigma" codes during World War II. His story has become well known, half a century after he committed suicide. He was born in London, and died in Wilmslow, Cheshire, England. He studied at King's College, Cambridge. In 1936 he wrote the paper that launched modern computer mathematics: "On Computable Numbers." He became a graduate student at Princeton [1936-1938] before he was drafted into the British Foreign Office for his amazing codebreaking adventure. He then went to the National Physical Laboratory in London [1945-1948], then he became Director of the Computing Laboratory at Manchester University in 1948. He also made major contributions to Artificial Intelligence ("Turing Test") and to mathematical biology (a theory of Morphogenesis that is widely accepted today). Turing received his Ph.D. at Princeton University in 1938. His dissertation: "Systems of Logic Based on Ordinals." His thesis advisor: Alonzo Church. Alonzo Church [14 June 1903-11 Aug 1995] received his Ph.D. at Princeton University in 1927. His dissertation: "Alternatives to Zermelo's Assumption." His thesis advisor: Oswald Veblen. Oswald Veblen [24 June 1880-10 Aug 1960], perhaps best known for his best-seller "Leisure of the Theory Class" [xxxx], received his Ph.D. from the University of Chicago in 1903. His dissertation: "A System of Axioms for Geometry." His thesis advisor: E. H. Moore. E. H. Moore [26 Jan 1862-30 Dec 1932], full name Eliakim Hastings Moore, received his Ph.D. from Yale University in 1885. His dissertation: "Extensions of Certain Theorems of Clifford and Cayley in the Geometry of n Dimensions." His thesis advisor: H. A. Newton. He was also a student of Kronecker and Weierstrass, and his students indluded G. D. Birkhoff. He worked on foundations of analysis, algebraic geometry, integral equations, and number theory. H. A. Newton [xxxx-yyyy], full name Hubert Anson Newton, received his B.S. from Yale University in 1850. His advisor: Michel Chasles. Michel Chasles [15 Nov 1793-18 Dec 1880] received his Ph.D. from the Ecole Polytechnique in 1814. His advisor: Simeon Poisson. Simeon Denis Poisson [21 June 1781-25 Apr 1840] received his Ph.D. His advisor: Joseph Louis Lagrange. He emphasized differential equations, especially from Physics. He developed "The Law of Large Numbers", was a pioneer in probability ("The Poisson Distribution"), which had little immediate influence beyond Chebyshev, but grew to great fame. Joseph Louis Lagrange [25 Jan 1736-10 Apr 1813] received his Ph.D. His advisor: Leonhard Euler. Leonhard Euler [15 Apr 1707-18 Sep 1783] received his Ph.D. from Universitat Basel in 1726. His advisor: Johann Bernoulli. Johann Bernoulli [27 July 1667-1 Jan 1748] received his Ph.D.in 1694. His advisor: Jacob Bernoulli. Jacob Bernoulli [27 Dec 1654-16 Aug 1705] {to be done} His advisor: Gottfried Leibnitz. Gottfried Wilhelm Von Leibnitz [1 July 1646-14 Nov 1716] received his Dr. jur. at the Universitat Altdorf in 1666. His dissertation: "Disputatio Inauguralis De Casibus Perplexis In Jure." His advisor: unknown [for thi Law degree]. Not only was Leibnitz (or Leibniz) famous for inventing Calculus simultaneously with Newton (sparking a life-long bitter rivalry), but he attempted to begin a project to build a digital computer, wanted to systematically index all human knowledge, and wanted literary success as well. All his life he prided himself on his poetry, mostly in Latin, and boasted that he could recite most of Virgil's Aeneid by heart. Starting in 1672, he studied under the great Astronomer Christiaan Huygens. Christiaan Huygens [14 Apr 1629-8 July 1695] is most famous today for having discovered the Rings of Saturn. But he also {to be done} Huygens' mathematical education was profoundly affected by visits to his home by Rene Descartes Rene Descartes [31 Mar 1596-11 Feb 1650] laid the foundations of modern mathematical physics and philosophy. Among other things, he built a mechanical computer, and created what we call "Cartesian Geometry" -- the use of graphs with X-axis and Y-axis, in which curves produced by functions could be graphed, thereby uniting algebra and geometry forever. Isaac Beeckman [10 Dec 1588-19 May 1637] taught Descartes both Mathematics and Mechanics, after Isaac Beeckman earned the equivalent of a B.A. in Philosophy and Linguistics. Isaac Beeckman almost surely learned Mathematics and Philosophy from Joseph Justus Scaliger after 1593, when Joseph Justus Scaliger taught Mathematics, languages, and Philosophy at the University of Leiden. Joseph Justus Scaliger [1540-1609] studied at the University of Valence (1572-1574) where his mentor was Jacques Cujas. Jacques Cujas, also known as Jacques de Cujas, or Jacques Cujacius [1522-1590] was an eminent French jurist. His Law teacher was Arnaud du Ferrier. Arnaud du Ferrier [circa 1508-1585] was a remarkable man, a lawyer, a diplomat, an Ambassador to Venice, President of the Parlement of Paris -- and a master spy! Although his formal education was at the University of Tolouse, and was a friend of Micel de Montaigne [1533-1592] who was the master of (and named) the "Essay" format of writing, the great influence on Arnaud du Ferrier was undoubtedly Paolo Sarpi. As Scarpi's main French agent, Arnaud du Ferrier became Ambassador to the Council of Trent, from which his notes helped Sarpi write a monumental series of volumes on the inner workings of the Catholic Church. Sarpi's friend, fellow monk, and biographer wrote that Sarpi and du Ferrier were "intrinsichissimo" -- extremely friendly. Paolo Sarpi [1552-1623] was a Servite Monk (known as Fra' Paolo), a cleric, a patron of Frances Bacon, a theologian, and a scientist. But he was, more covertly, one of the greatest Spymasters the world has ever seen. Running covert operations for Venice, he was at war with Europe and the Pope. He was in deep contact with Isaac Newton and theStuart court at London. He was the behind-the-scenes public relations genius who sponsored and made Galileo world famous, as part of an agenda to launch an empiricist counterattack against the Platonic methods of Johannes Kepler. His writings and covert contacts directly influenced Frances Bacon and Thomas Hobbs. He brought the telescope to Italy. And, through his vast network of agents, especially in Prague, Heidelberg, and Vienna, deliberately organized the Thirty Years War, which killed half the population of Germany and one-third the population of Europe. Paolo Sarpi graduated in 1565 from the University of Padua, where he fell under the scientific influence of Girolamo Frabrizio. Girolamo Frabrizio, also known as Geronimo Fabricius [1537-1619] was the Public Lecturer in Anatomy and Surgery at the University of Padua. This Italian anatomist and embryologist studied the veins and discovered their valves that direct blood flow towards the heart. He studied the development of chick embryos, investigated the action of muscles, studied respiration, improved the anatomy of the larynx (which he first described), and studied the eye. He was the first to correctly describe the location of the lens, and first to show that the pupil changes size. His mnost notable student was William Harvey. Girolamo Frabrizio, in 1565, succeeded his teacher, Gabriel Fallopius, as Professor at Padua. Gabriel Fallopius [1523-9 Oct 1562], also known as Gabriello Fallopio, was the Italian anatomist who helped overturn 1300 years of doctrine from Galen. Gabriel Fallopius did essential work in the structure of the ear and the reproductive system. He discovered the Fallopian Tubes, which connect ovaries to uterus. He discovered several major nerves of the head and face; described the semicircular canals of the inner ear; and named the vagina, placenta, clitoris, palate, and cochlea. He also invented the condom. Gabriel Fallopius was a student of Andreas Vesalius, the other rebel who overthrew Galen. Andreas Vesalius, also known as Andries Van Wesel, was the Flemish scientist considered "the father of anatomy." He received his M.D. at the University of Padua in 1537. Although he studeied Liberal Arts at the University of Louvain, his main education was at the University of Paris (1533-1536) where his two greatest teachers were Johann Guinther von Andernach (also known as Johannes Quinterus of Andernach) and Jacobus Sylvus. Jacobus Sylvius [1475-1555], also known as Jacques Dubois, studied Islamic Medicine from the faculty at the University of Montpellier, where the Islamic study had dominated for the entire 13th and 14th century. Jacobus Sylvius received his M.D. there at the ripe age of 51, in 1496. Also at the University of Massachusetts, I studied under William Kilmer, whose B.S. and M.S. were at Pennsylvania State University (1954,1955) and whose Ph.D. was at the University of Michigan in 1958. William Kilmer was a student of Warren S. McCullough. Warren S. McCullough [16 Nov 1898-1969] was a neurophysiologist and co-founder of Cybernetics {to be done} I also worked directly with Theodore Nelson, who invented Hypertext and Hypermedia, and is an acknowledged grandfather of the World Wide Web. For him, I co-implemented the world's first working hyptertext system for personal computers, and demonstrated it at the world's first Personal Computer Conference -- before IBM, Tandy, and Apple made personal computers. Through Ted Nelson, I was involved with John Mauchley, who shared the patent for the Digital Electronic Computer. Mauchley built the first dual-processor (the top secret "BINAC") for the Air Force in World War II, and then founded the Eckert-Mauchley Computer Company, which was sold to a company that merged with a company to become UNIVAC. Mauchley was the main force behind the UNIVAC I, America's first commercial computer. more {to be done} Also through Ted Nelson, I worked with Calvin Mooers [1919-199x], the man who invented the term "Information Retrieval", and with {to be done} Notable professors of Mathematics that I studied under at Caltech included John Todd, whose wife Olga Taussky Todd [30 Aug 1906-7Oct 1995] was America's leading woman mathematician of the 20th century, and who had known Emily Noether, the world's leading woman mathematician of the 20th century. At Caltech, my Mathematics Advisor was W. A. J. Luxemburg [xxxx-yyyy]. W. A. J. Luxemburg, full name Wilhelmus Anthonius Josephus Luxemburg. He received his Ph.D. at Technische Universiteit Delft in 1955. Dissertation: Banach Function Space. His advisor: Adriaan Zaanen. His work in Non-standard Analysis stands beside that of Abraham Robison, and he maintained a connection with Kurt Godel. Adriaan Cornelis Zaanen 1913x-????] received his Ph.D. at Rijksuniversiteit Leiden in 1938. Dissertation: "Over reeksen van eigenfuncties van zekere randproblemen." His advisor: J. Droste. Also at Caltech I took classes from Tom M. [Mike] Apostol [xxxx-]. Tom M. Apostol received his Ph.D. from the University of California, Berkeley in 1948. Dissertation: "A Study of Dedekind Sums and their Generalizations." His advisor: Derrick Henry Lehmer. Derrick Henry Lehmer [1905-1991] received his Ph.D. from Brown University in 1930. Dissertation: "An Extended Theory of Lucas Functions." His advisor: Jacob David Tamarkin. D. H. Lehmer was a pioneer in computational number theory, bursting on the scene with his paper "On the Converse of Fermat's Theorem" [Ammerican Mathematical Monthly, 43 (1936)347-54]. That was the first publication of what we call "Fermats Little Theorem." He also invented the linear congruential method of generating pseudorandom numbers. Jacob David Tamarkin [11 July 1888-1945] received his Ph.D. from the University of St. Petersburg in 1917. Dissertation: "{to be done}." His advisor: Andre Markov. Tamarkin, denied a visa to present papers in foreign countries, escaped across the border with fellow markov student Besicovich (who later worked under G. H. Hardy). Andre Anreyevich Markov [14 June 1856-20 July 1922] received his Ph.D. from the University of St. Petersburg in 1884. Dissertation: "On Some Applications of Algebraic Continuous Functions." His advisor: Pafnuty Lvovich Chebyshev. He was a great expert in random processes. Pafnuty Lvovich Chebyshev [16 May 1821-8 Dec 1894] received his Ph.D. from the University of St. Petersburg in 1849. Dissertation: "{to be done}." His advisor: Nikolai Dmitrievich Brashman. Nikolai Dmitrievich Brashman [1796-1866] received his Ph.D. from Moscow State University in 1834. Dissertation: "{to be done}." His advisor: J. J. Von Littrov. J. J. Von Littrov, also written Von Littrow [1781-1840], was a Viennese Astronomer and Mathematician. I took Combinatorics from H. J. Ryser (Herbert John Ryser) [28 July 1923-12 July 1985]. Professor Ryser was one of the major figures in Combinatorics of the 20th Century. While still in graduate school, he collaborated in the proof of the famous Bruck-Ryser Theorem. See H. J. Ryser I took Error Detecting and Correcting Codes from Solomon Golomb [ca. 1930-], better known to computer students for his invention of the "Game of Life" and for Polyominoes (1953). Solomon Wolf Golomb received his Ph.D. at Harvard University in 1957. Dissertation: "Problems in the Distributions of the Prime Numbers." His advisor: David Widder. David Vernon Widder [25 Mar 1898-8 July 1990] received his Ph.D. at Harvard University in 1924. Dissertation: "Theorems of Mean Value and Trigonometric Interpolation." His advisor: George Birkhoff. Widder worked as a "civilian computer" at Aberdeen Proving Grounds in World War I. He became Chairman of the Math Department at Harvard, where the Crimson Confidential wrote: "Professor Widder could teach calculus to a rhinoceros." George David Birkhoff [21 Mar 1884-12 Nov 1944] received his Ph.D. at the University of Chicago in 1907. Dissertation: "Asymptotic Properties of Certain Ordinary Differential Equations with Applications to Boundary Value and Expansion Problems." His advisor: E. H. Moore. [I have already given E. H. Moore's geneology in the ancestry of Alan Turing. I took Abstract Algebra from Richard Albert Dean [xxxx-]. He received his Ph.D. at the Ohio State University in 1953. Dissertation: "On the Word Problem for Lattices and Related Topics." His advisor: Marshall Hall, Jr. Marshall Hall, Jr. [17 Sep 1910-4 July 1990] received his Ph.D. at Yale University in 1936. Dissertation: "An Isopmorphism Between Linear Recurring Sequences and Algebraic Rings." His advisor: Oystein Ore. Oystein Ore [1899-1968] received his Ph.D. at Universitetet i Oslo in 1924. His advisor: Thoralf Skolem. His students included Grace Murray Hopper [Yale, 1934] who was the Navy woman behind the development of COBOL, became the highest ranking woman in the Navy, and was awarded in the White House. Ore was Chairman of the Math Department at Yale 1939-1942. Thoralf Skolem [23 May 1887-23 Mar 1963] received his Ph.D. at Universitetet i Oslo in 1924. Dissertation: "Einige Staze Uber ganzzahlige Losungen gewisser Gleichungen und Ungleichungen." His advisor: Axel Thue. Axel Thue [19 Feb 1863-7 Mar 1922] received his Ph.D. at University of Christiana in 1889. His advisor: M. Sophus Lie. M. Sophus Lie, full name Marius Sophus Lie [????-18 Feb 1899] received his Ph.D. at University of Christiana in 1872. Dissertation: "On a Class of Geometric Transformations." His advisors: C. Bjerknes and Cato Guldberg. M. Sophus Lie is best-known today for "Lie Algebras" which unexpectedly turned out to be useful for subatomic particle Physics. Lie's teachers also included Peter Ludwig and Mejdell Sylow. I took Probability Theory, and Measure Theory, from Gary Allen Lorden [19xx-] He received his Ph.D. from Cornell University in 1966. Dissertation: "Integrated Risk of Asymptotically Bayes Sequential Tests and Some Essentially Complete Class Results." His advisor: Jack Kiefer. Jack Carl Kiefer [1924-10 Aug 1981] received his Ph.D. from Columbia University in 1952. Dissertation: "Contribution to the Theory of Games and Statistical Decision Functions." His advisor: Jacob Wolfowitz. Jacob Wolfowitz [19 Mar 1910-16 July 1981] received his Ph.D. from New York University in 1942. Dissertation: "Additive Partition Functions and a Class of Statistical Hypotheses." His advisor: Donald Flanders. Donald Alexander Flanders [1900-1958] received his Ph.D. from University of Pennsylvania in 1927. Dissertation: "Double Elliptic Geometry in terms of Point Order and Congruence." His advisor: John Kline. John Kline [18xx-yyyy] received his Ph.D. from the University of Pennsylvania in 1916. Dissertation: "Double Elliptic Geometry in Terms of Point and Order Alone." His advisor: R. L. Moore. R. L. Moore, full name Robert Lee Moore [14 Nov 1882-1974] received his Ph.D. from the University of Chicago in 1905. Dissertation: "Metrical Hypotheses for Geometry." His advisors: Oswald Veblen and E. H. Moore [both already in this geneology for the academic ancestry of Alan Turning]. Also at Caltech, I have a multiply branched academic ancestry from Michael Aschbacher. Let me show just a fragment of that: Michael Aschbacher's advisor was Richard Hubert Bruck, whose advisor was Richard Dagobert Brauer, whose advisors were Issai Schur and and Erhard Schmidt. Issai Schur's advisors were Georg Frobenius and Lazarus Fuchs. Georg Ferdinand Frobenius' advisors were Karl Weierstrass and Ernst Kummer. Karl Weierstrass' advisor was Christoph Gudermann, whose advisor was Carl Friedrich Gauss [30 Apr 1777-23 Feb 1855], whose advisor was Johann Friedrich Pfaff, whose advisor was Abraham Gotthelf Kaestner (whose students included August Mobius), whose advisor was Christian Hausen, whose advisor was Johann Christoph Wichmannshausen whose advisor for the 1685 Leipzig Ph.D. was Otto Menken. If I go back up through Aschbacher-Bruck-Brauer-Schur-Frobenius to Ernst Kummer, I have that Ernst Edward Kummer's advisor was Heinrich Fredinand Scherk whose advisors were Friedrich Bessel [22 July 1784-17 Mar 1846] and Heinrich Brandes. Friedrich Wilhelm Bessel's advisor was Carl Friedrich Gauss [already on our list]. and so forth. Bessel was not just a Mathematician, but also an eminent Astronomer. He catalogued stars, predicted a planet beyond Uranus, and hyp[othesized the existence of dark stars. Another branch takes us to David Hilbert [already on our list] but I'm leaving out several branches and all dissertation titles, universities, and dates. Other Mathematics teachers of mine, and their geneologies {to be done}.

ACTING/THEATRE:

Sarah Bernhardt [1844-1923] | | Eleonora Duse [1859-1924] | | Anton Chekhov [1860-1904] Moscow Art Theatre | | Stanislavski [1863-1938] | | Group Theatre [founded 1930 by Strasberg] | | Lee Strasberg [17 Nov 1901-??] Actors Studio | | Second City | | Jack Albee People's Theatre | | Jonathan Vos Post
Sarah Bernhardt [1844-1923] was perhaps the most famous actress of her time. Eleonora Duse [1859-1924] was the greatest actress of Italy. See Eleonora Duse Anton Chekhov [1860-1904] is better known for his fiction and drama, but was a very active participant of the Moscow Art Theatre. See: Anton Chekhov Stanislavski [1863-1938] is the famous inventor of what is now called "Method Acting." Group Theatre [founded 1930 by Strasberg] Lee Strasberg [17 Nov 1901-17 June 1982] studied as a child at the American Laboratory Theatre in New York City, under Richard Boleslavsky and Maria Ouspenskaya. Lee Strasberg was, at Actors Studio, the most famous teacher of Method Acting, to students such as Marlon Brando and Al Pacino... See Actors Studio and Official Lee Strasberg Page Second City is the famous improvisational acting troupe that launched their own television comedy series. Many of their graduates went on to star in Saturday Night Live. Jack Albee, founder of People's Theatre, was also involved from the start at the Renaissance Pleasure Faires. He moved his People's Theatre, which included dropouts from Second City, to Los Angeles. For a while, it was based at and near Caltech, where I was one of its actors (a promising improviser who tended to blow the cues of others) and a co-producer (who set up some paying gigs). Jack Albee was best known as a Mime and Clown. Having failed early at acting, I concentrated at writing (two plays sold in Germany); research, rewrite, and technical consulting for television and film; and Edutainment CD-ROM production. Resume of Jonathan Vos Post Teaching Resume of Jonathan Vos Post biographical and bibliographical info on Jonathan Vos Post Return to PERIODIC TABLE OF MYSTERY AUTHORS