\Martin Goldstern (1986, 1991) ----- Robert Franz Tichy, Jack Howard Silver, Haim Judah.
||\Robert Tichy (1979) ----- Edmund Hlawka.
|| \Edmund Hlawka (1938) ----- Nikolaus Hofreiter.
|| \Nikolaus Hofreiter (1927) ----- Philipp Furtwängler.
|| \Philipp Furtwängler (1896) ----- C. Felix Klein (Christian).
|| \C. Felix Klein (1868) ----- Julius Plücker, Rudolf Otto Sigismund Lipschitz.
|| | \Julius Plücker (1823) ----- Christian Ludwig Gerling.
|| | \Christian Gerling (1812) ----- Carl Friedrich Gauß.
|| | \Carl Gauß (1799) ----- Johann Friedrich Pfaff.
|| | \Johann Pfaff (1786) ----- Abraham Gotthelf Kästner, Johann Elert Bode.
|| | | \Abraham Kästner (1739) ----- Christian August Hausen.
|| | | \Christian Hausen (1713) ----- Johann Christoph Wichmannshausen, Johann Andreas Planer.
|| | | | \Johann Wichmannshausen (1685) ----- Otto Mencke.
|| | | | \Otto Mencke (1665) ----- Jakob Thomasius.
|| | | | \Jakob Thomasius (1643) ----- Friedrich Leibniz.
|| | | | \Friedrich Leibniz (1622) ----- ???
|| | | \
|| | | \Johann Planer (1686) ----- Johann Pasch, Rudolf Jakob Camerarius.
|| | | | \Johann Pasch (1683) ----- Michael Walther, Jr..
|| | | | \Michael Walther, Jr. (1661, 1687) ----- Aegidius Strauch, Johann Andreas Quenstedt.
|| | | | | \Aegidius Strauch (1651) ----- Abraham Klein (Calovius), Andreas Kunad.
|| | | | | | \Abraham Klein (Calovius) (1632) ----- ???
|| | | | | \
|| | | | | \Andreas Kunad ----- ???
|| | | | \
|| | | | \Johann Quenstedt (1643) ----- Georg Calixt, Christoph Notnagel.
|| | | | | \Georg Calixt (1607) ----- Johannes Caselius, Cornelius Martini.
|| | | | | | \Johannes Caselius (1560) ----- ???
|| | | | | \
|| | | | | \Cornelius Martini (1592) ----- Duncan Liddel.
|| | | | | \Duncan Liddel (1582,1596) ----- John Craig, Paul Wittich.
|| | | | | | \John Craig (1580) ----- Theodor Zwinger.
|| | | | | | \Theodor Zwinger (1553) ----- Petrus Ramus (Pierre de La Ramée), Bassiano Landi, Vittore Trincavelli.
|| | | | | | ||\Petrus Ramus (1536) ----- Johannes Sturmius (Johann Sturm), Jacques Toussain.
|| | | | | | ||| \Johannes Sturmius (1527) ----- Nicolas Clénard (Nicolaes Cleynaerts), Johannes Winter von Andernach.
|| | | | | | ||| | \Nicolas Clénard (1515, 1521) ----- Jacobus Latomus (Jacques Masson), Jan van Campen (Johannes Campensis).
|| | | | | | ||| | | \Jacobus Latomus (1502) ----- ???
|| | | | | | ||| | \
|| | | | | | ||| | \Jan van Campen (1519) ----- Matthaeus Adrianus, Johann Reuchlin (Johannes Kapnion).
|| | | | | | ||| | | \Matthaeus Adrianus ----- ???
|| | | | | | ||| | \
|| | | | | | ||| | \Johann Reuchlin (1477, 1481) ----- Johannes Argyropoulos, Jacob ben Jehiel Loans.
|| | | | | | ||| | | \Johannes Argyropoulos (1444) ----- Basilios Bessarion.
|| | | | | | ||| | | \Basilios Bessarion (1436) ----- Georgios Plethon Gemistos.
|| | | | | | ||| | | \Georgios Gemistos (1380, 1393) ----- Demetrios Kydones, Elissaeus Judaeus.
|| | | | | | ||| | | | \Demetrios Kydones ----- Nilos Kabasilas.
|| | | | | | ||| | | | \Nilos Kabasilas (1363) ----- Gregory Palamas.
|| | | | | | ||| | | | \Gregory Palamas ----- Theodore Metochites.
|| | | | | | ||| | | | \Theodore Metochites (1315) ----- Manuel Bryennios.
|| | | | | | ||| | | | \Manuel Bryennios ----- ???
|| | | | | | ||| | | \
|| | | | | | ||| | | \Elissaeus Judaeus ----- ???
|| | | | | | ||| | \
|| | | | | | ||| | \Jacob ben Jehiel Loans ----- ???
|| | | | | | ||| \
|| | | | | | ||| \Johannes von Andernach (1527, 1532) ----- Rutger Rescius, Jacobus Sylvius (Jacques Dubois).
|| | | | | | ||| | \Rutger Rescius (1513) ----- Girolamo Aleandro (Hieronymus Aleander).
|| | | | | | ||| | \Girolamo Aleandro (1499, 1508) ----- Moses Perez, Scipione Fortiguerra.
|| | | | | | ||| | | \Moses Perez ----- ???
|| | | | | | ||| | \
|| | | | | | ||| | \Scipione Fortiguerra (1493) ----- Angelo Poliziano.
|| | | | | | ||| | \Angelo Poliziano (1477) ----- Marsilio Ficino, Cristoforo Landino.
|| | | | | | ||| | | \Marsilio Ficino (1462) ----- Johannes Argyropoulos.
|| | | | | | ||| | | \(Johannes Argyropoulos: vide supra)
|| | | | | | ||| | \
|| | | | | | ||| | \Cristoforo Landino ----- ???
|| | | | | | ||| \
|| | | | | | ||| \Jacobus Sylvius (1530) ----- Jean Tagault, François Dubois.
|| | | | | | ||| | \Jean Tagault ----- ???
|| | | | | | ||| \
|| | | | | | ||| \François Dubois (1516) ----- ???
|| | | | | | || \
|| | | | | | || \Jacques Toussain (1521) ----- Guillaume Budé.
|| | | | | | || \Guillaume Budé (1486, 1491) ----- Georgius Hermonymus, Janus Lascaris.
|| | | | | | || | \Georgius Hermonymus ----- ???
|| | | | | | || \
|| | | | | | || \Janus Lascaris (1472) ----- Basilios Bessarion, Demetrios Chalcocondyles.
|| | | | | | || | \(Basilios Bessarion: vide supra)
|| | | | | | || \
|| | | | | | || \Demetrios Chalcocondyles (1452) ----- Theodoros Gazes.
|| | | | | | || \Theodoros Gazes (1433) ----- Vittorino da Feltre.
|| | | | | | || \Vittorino da Feltre (1416) ----- Guarino da Verona.
|| | | | | | || \Guarino da Verona (1408) ----- Manuel Chrysoloras.
|| | | | | | || \Manuel Chrysoloras ----- Demetrios Kydones.
|| | | | | | || \(Demetrios Kydones: vide supra)
|| | | | | | |\
|| | | | | | | \Bassiano Landi (1542) ----- Giovanni Battista della Monte, Vittore Trincavelli.
|| | | | | | | | \Giovanni Battista della Monte ----- Marco Musuro, Pietro Pomponazzi, Niccolò Leoniceno.
|| | | | | | | | ||\Marco Musuro (1486) ----- Janus Lascaris.
|| | | | | | | | || \(Janus Lascaris: vide supra)
|| | | | | | | | |\
|| | | | | | | | | \Pietro Pomponazzi (1487) ----- Nicoletto Vernia, Pietro Roccabonella.
|| | | | | | | | | | \Nicoletto Vernia ----- Gaetano da Thiene.
|| | | | | | | | | | \Gaetano da Thiene ----- ???
|| | | | | | | | | \
|| | | | | | | | | \Pietro Roccabonella ----- Gaetano da Thiene, Sigismondo Polcastro.
|| | | | | | | | | | \Gaetano da Thiene ----- ???
|| | | | | | | | | \
|| | | | | | | | | \Sigismondo Polcastro ----- ???
|| | | | | | | | \
|| | | | | | | | \Niccolò Leoniceno (1446) ----- Ognibene Bonisoli da Lonigo (Omnibonus Leonicenus), Pelope, Pietro Roccabonella.
|| | | | | | | | ||\Ognibene Bonisoli da Lonigo ----- Vittorino da Feltre.
|| | | | | | | | || \(Vittorino da Feltre: vide supra)
|| | | | | | | | |\
|| | | | | | | | | \Pelope ----- ???
|| | | | | | | | \
|| | | | | | | | \(Pietro Roccabonella: vide supra)
|| | | | | | | \
|| | | | | | | \Vittore Trincavelli ----- Pietro Pomponazzi.
|| | | | | | | \(Pietro Pomponazzi: vide supra)
|| | | | | | \
|| | | | | | \(Vittore Trincavelli: vide supra)
|| | | | | \
|| | | | | \Paul Wittich (1566) ----- Valentin Thau.
|| | | | | \Valentin Thau (1555) ----- Johannes Hommel.
|| | | | | \Johannes Hommel (1543) ----- Erasmus Reinhold, Philipp Melanchthon.
|| | | | | | \Erasmus Reinhold (1535) ----- Jakob Milich.
|| | | | | | \Jakob Milich (1520) ----- Desiderius Erasmus, Ulrich Zasius.
|| | | | | | | \Desiderius Erasmus (1506) ----- ???
|| | | | | | \
|| | | | | | \Ulrich Zasius (1501) ----- ???
|| | | | | \
|| | | | | \Philipp Melanchthon (1511, 1514) ----- Johannes Stöffler, Johann Reuchlin (Johannes Kapnion).
|| | | | | | \Johannes Stöffler (1476) ----- ???
|| | | | | \
|| | | | | \(Johann Reuchlin: vide supra)
|| | | | \
|| | | | \Christoph Notnagel (1630) ----- Ambrosius Rhodius.
|| | | | \Ambrosius Rhodius (1600, 1610) ----- Melchior Jöstel, Ernestus Hettenbach.
|| | | | | \Melchior Jöstel (1583, 1600) ----- Valentin Otto (Valentinus Otho), Andreas Schato.
|| | | | | | \Valentin Otto (1570) ----- Georg Joachim von Leuchen Rheticus.
|| | | | | | \Georg Joachim Rheticus (1535) ----- Johannes Volmar, Nicolaus Copernicus (Mikołaj Kopernik).
|| | | | | | | \Johannes Volmar (1515) ----- Bonifazius Erasmi.
|| | | | | | | \Bonifazius Erasmi (1509) ----- ???
|| | | | | | \
|| | | | | | \Nicolaus Copernicus (1499) ----- Leonhard von Dobschütz (Leonard Vitreatoris z Dobczyc), Domenico Maria Novara da Ferrara.
|| | | | | | | \Leonhard von Dobschütz (1489) ----- ???
|| | | | | | \
|| | | | | | \Domenico Novara da Ferrara (1483) ----- Johannes Müller Regiomontanus, Luca Pacioli.
|| | | | | | | \Johannes Regiomontanus (1457) ----- Georg von Peuerbach, Basilios Bessarion.
|| | | | | | | | \Georg von Peuerbach (1440) ----- Johannes von Gmunden.
|| | | | | | | | \Johannes von Gmunden (1406) ----- Heinrich von Langenstein.
|| | | | | | | | \Heinrich von Langenstein (1363, 1375) ----- ???
|| | | | | | | \
|| | | | | | | \(Basilios Bessarion: vide supra)
|| | | | | | \
|| | | | | | \Luca Pacioli ----- ???
|| | | | | \
|| | | | | \Andreas Schato (1562, 1578) ----- Sebastian Dietrich (Theodoricus), Salomon Alberti.
|| | | | | | \Sebastian Dietrich (1544) ----- Erasmus Reinhold, Georg Joachim von Leuchen Rheticus.
|| | | | | | | \(Erasmus Reinhold: vide supra)
|| | | | | | \
|| | | | | | \(Georg Joachim Rheticus: vide supra)
|| | | | | \
|| | | | | \Salomon Alberti (1564) ----- Caspar Peucer, Hieronymus Fabricius (Girolamo Fabrici d'Acquapendente).
|| | | | | | \Caspar Peucer (1545) ----- Erasmus Reinhold, Georg Joachim von Leuchen Rheticus.
|| | | | | | | \(Erasmus Reinhold: vide supra)
|| | | | | | \
|| | | | | | \(Georg Joachim Rheticus: vide supra)
|| | | | | \
|| | | | | \Hieronymus Fabricius (1559) ----- Gabriele Falloppio.
|| | | | | \Gabriele Falloppio (1547) ----- Antonio Musa Brasavola, Matteo Realdo Colombo (Renaldus Columbus).
|| | | | | | \Antonio Brasavola (1520) ----- Niccolò Leoniceno.
|| | | | | | \(Niccolò Leoniceno: vide supra)
|| | | | | \
|| | | | | \Matteo Realdo Colombo (1544) ----- Andreas Vesalius (Andries van Wesel).
|| | | | | \Andreas Vesalius (1537) ----- Johannes Winter von Andernach, Gemma Frisius (Jemme Reinerszoon), Giovanni Battista della Monte.
|| | | | | ||\(Johannes von Andernach: vide supra)
|| | | | | |\
|| | | | | | \Gemma Frisius (1529, 1536) ----- Petrus Curtius (Pieter de Corte).
|| | | | | | \Petrus Curtius (1513, 1530) ----- Maarten van Dorp (Martinus Dorpius).
|| | | | | | \Maarten van Dorp (1504, 1515) ----- Leo Outers.
|| | | | | | \Leo Outers (1485) ----- ???
|| | | | | \
|| | | | | \(Giovanni Battista della Monte: vide supra)
|| | | | \
|| | | | \Ernestus Hettenbach (1576, 1591) ----- Andreas Schato, Salomon Alberti.
|| | | | | \(Andreas Schato: vide supra)
|| | | | \
|| | | | \(Salomon Alberti: vide supra)
|| | | \
|| | | \Rudolf Camerarius (1684, 1686) ----- Georg Balthasar Metzger, Elias Rudolph Camerarius, Sr.
|| | | | \Georg Metzger (1646) ----- Gottfried Möbius, Johann Jakob von Brunn
|| | | | | \Gottfried Möbius (1640) ----- Werner Rolfinck
|| | | | | \Werner Rolfinck (1625) ----- Daniel Sennert, Adriaan van den Spieghel.
|| | | | | | \Daniel Sennert (1594, 1599) ----- Jacobus Martini, Jan Jessenius.
|| | | | | | | \Jacobus Martini (1596) ----- Cornelius Martini.
|| | | | | | | \(Cornelius Martini: vide supra)
|| | | | | | \
|| | | | | | \Jan Jessenius (1588, 1591) ----- Hieronymus Fabricius (Girolamo Fabrici d'Acquapendente).
|| | | | | | \(Hieronymus Fabricius: vide supra)
|| | | | | \
|| | | | | \Adriaan van den Spieghel (1603) ----- Hieronymus Fabricius (Girolamo Fabrici d'Acquapendente).
|| | | | | \(Hieronymus Fabricius: vide supra)
|| | | | \
|| | | | \Johann von Brunn (1615) ----- Johannes Nicolaus Stupanus.
|| | | | \Johannes Stupanus (1569) ----- Theodor Zwinger.
|| | | | \(Theodor Zwinger: vide supra)
|| | | \
|| | | \Elias Camerarius, Sr. (1663) ----- Georg Balthasar Metzger
|| | | \(Georg Metzger: vide supra)
|| | \
|| | \Johann Bode ----- Johann Georg Büsch.
|| | \Johann Büsch (1752) ----- Johann Andreas Segner.
|| | \Johann Segner (1726, 1734) ----- Georg Erhard Hamberger, Simon Paul Hilscher.
|| | | \Georg Hamberger (1721) ----- Johann Adolph Wedel.
|| | | \Johann Wedel (1694) ----- Georg Wolffgang Wedel.
|| | | \Georg Wedel (1667) ----- Werner Rolfinck, Franciscus de le Boë Sylvius.
|| | | | \(Werner Rolfinck: vide supra)
|| | | \
|| | | \Franciscus Sylvius (1634, 1637) ----- Adolph Vorstius, Emmanuel Stupanus.
|| | | | \Adolph Vorstius (1619, 1622) ----- Gilbert Jacchaeus, Adriaan van den Spieghel.
|| | | | | \Gilbert Jacchaeus ----- Duncan Liddel, Jacobus Arminius (Jacob Harmensz.).
|| | | | | | \(Duncan Liddel: vide supra)
|| | | | | \
|| | | | | \Jacobus Arminius (1582) ----- Rudolph Snellius (Snel van Royen).
|| | | | | \Rudolph Snellius (1572) ----- Valentine Naibod, Immanuel Tremellius.
|| | | | | | \Valentine Naibod ----- Erasmus Reinhold.
|| | | | | | \(Erasmus Reinhold: vide supra)
|| | | | | \
|| | | | | \Immanuel Tremellius (1549) ----- ???
|| | | | \
|| | | | \(Adriaan van den Spieghel: vide supra)
|| | | \
|| | | \Emmanuel Stupanus (1613) ----- Petrus Ryff.
|| | | \Petrus Ryff (1584) ----- Theodor Zwinger.
|| | | \(Theodor Zwinger: vide supra)
|| | \
|| | \Simon Hilscher (1704) ----- Rudolf Wilhelm Krause.
|| | \Rudolf Krause (1671) ----- Franciscus de le Boë Sylvius.
|| | \(Franciscus Sylvius: vide supra)
|| \
|| \Rudolf Lipschitz (1853) ----- Gustav Peter Lejeune Dirichlet, Martin Ohm
|| | \Gustav Dirichlet (1827) ----- Simeon Denis Poisson, Jean-Baptiste Joseph Fourier
|| | | \Simeon Poisson (1800) ----- Joseph Louis Lagrange, Pierre-Simon Laplace
|| | | | \Joseph Lagrange (1754) ----- Leonhard Euler, Giovanni Battista Beccaria (Giambattista).
|| | | | | \Leonhard Euler (1726) ----- Johann Bernoulli.
|| | | | | \Johann Bernoulli (1690, 1694) ----- Jacob Bernoulli, Nikolaus Eglinger.
|| | | | | | \Jacob Bernoulli (1676) ----- Peter Werenfels, Nicolas Malebranche.
|| | | | | | | \Peter Werenfels (1649) ----- Theodor Zwinger, Jr..
|| | | | | | | \Theodor Zwinger, Jr. (1630) ----- Sebastian Beck.
|| | | | | | | \Sebastian Beck (1610) ----- Johann Jacob Grynaeus.
|| | | | | | | \Johann Grynaeus (1564) ----- Jacob Andreae.
|| | | | | | | \Jacob Andreae (1553) ----- Jakob Beuerlin.
|| | | | | | | \Jakob Beuerlin (1551) ----- Balthasar Kaeuffelin.
|| | | | | | | \Balthasar Kaeuffelin (1521) ----- ???
|| | | | | | \
|| | | | | | \Nicolas Malebranche (1672) ----- Gottfried Wilhelm Leibniz.
|| | | | | | \Gottfried Leibniz (1666) ----- Jakob Thomasius, Erhard Weigel, Bartholomäus Leonhard Schwendendörffer, Christiaan Huygens.
|| | | | | | ||\(Jakob Thomasius: vide supra)
|| | | | | | |\
|| | | | | | ||\Erhard Weigel (1650) ----- Philipp Müller.
|| | | | | | || \Philipp Müller (1604) ----- Christoph Meurer.
|| | | | | | || \Christoph Meurer (1582) ----- Moritz Valentin Steinmetz.
|| | | | | | || \Moritz Steinmetz (1550, 1567) ----- Georg Joachim von Leuchen Rheticus, Johann Hoffmann.
|| | | | | | || | \(Georg Joachim Rheticus: vide supra)
|| | | | | | || \
|| | | | | | || \Johann Hoffmann von Schweidnitz (1400) ----- ???
|| | | | | | |\
|| | | | | | | \Bartholomäus Schwendendörffer (1656) ----- ???
|| | | | | | \
|| | | | | | \Christiaan Huygens (1647, 1655) ----- Frans van Schooten, Jr., Jan Jansz Stampioen, Jr..
|| | | | | | | \Frans van Schooten, Jr. (1635) ----- Jacobus Golius, Marin Mersenne.
|| | | | | | | | \Jacobus Golius (1612, 1621) ----- Willebrord Snellius (Snel van Royen), Thomas Erpenius.
|| | | | | | | | | \Willebrord Snellius (1607) ----- Ludolph van Ceulen, Rudolph Snellius (Snel van Royen).
|| | | | | | | | | | \Ludolph van Ceulen ----- ???
|| | | | | | | | | \
|| | | | | | | | | \(Rudolph Snellius: vide supra)
|| | | | | | | | \
|| | | | | | | | \Thomas Erpenius (1608) ----- Joseph Justus Scaliger.
|| | | | | | | | \Joseph Scaliger (1563) ----- Adrien Turnèbe.
|| | | | | | | | \Adrien Turnèbe (1532) ----- Jacques Toussain.
|| | | | | | | | \(Jacques Toussain: vide supra)
|| | | | | | | \
|| | | | | | | \Marin Mersenne (1611) ----- ???
|| | | | | | \
|| | | | | | \Jan Stampioen, Jr. ----- ???
|| | | | | \
|| | | | | \Nikolaus Eglinger (1660, 1661) ----- Emmanuel Stupanus, Johann Caspar Bauhin.
|| | | | | | \(Emmanuel Stupanus: vide supra)
|| | | | | \
|| | | | | \Johann Bauhin (1649) ----- Emmanuel Stupanus.
|| | | | | \(Emmanuel Stupanus: vide supra)
|| | | | \
|| | | | \Giovanni Battista Beccaria ----- ???
|| | | \
|| | | \Pierre-Simon Laplace ----- Jean Le Rond d'Alembert.
|| | | \Jean d'Alembert ----- ???
|| | \
|| | \Jean-Baptiste Fourier ----- Joseph Louis Lagrange.
|| | \(Joseph Lagrange: vide supra)
|| \
|| \Martin Ohm (1811) ----- Karl Christian von Langsdorf.
|| \Karl von Langsdorf (1781) ----- Abraham Gotthelf Kästner.
|| \(Abraham Kästner: vide supra)
|\
| \Jack Silver (1966) ----- Robert Lawson Vaught.
| \Robert Vaught (1954) ----- Alfred Tarski.
| \Alfred Tarski (1924) ----- Stanislaw Lesniewski.
| \Stanislaw Lesniewski (1912) ----- Kazimierz Twardowski.
| \Kazimierz Twardowski (1891) ----- Robert Zimmermann.
| \Robert Zimmermann (1846) ----- Bernard(us) Placidus Johann Nepomuk Bolzano.
| \Bernard(us) Bolzano (1805) ----- Franz Josef Ritter von Gerstner.
| \Franz Ritter von Gerstner (1777) ----- Jan Tesánek.
| \Jan Tesánek (1748) ----- Joseph Stepling.
| \Joseph Stepling (1743) ----- Ignatz Mühlwenzel.
| \Ignatz Mühlwenzel ----- ???
\
\Haim Judah (1987) ----- Menachem Magidor.
\Menachem Magidor (1973) ----- Azriel Levy.
\Azriel Levy (1958) ----- Adolf Abraham Fraenkel, Abraham Robinson.
| \Adolf Fraenkel (1914) ----- Kurt Hensel.
| \Kurt Hensel (1884) ----- Leopold Kronecker.
| \Leopold Kronecker (1845) ----- Johann Franz Friedrich Encke, Gustav Peter Lejeune Dirichlet.
| | \Johann Encke (1825) ----- Carl Friedrich Gauß.
| | \(Carl Gauß: vide supra)
| \
| \(Gustav Dirichlet: vide supra)
\
\Abraham Robinson (1949) ----- Paul Dienes.
\Paul Dienes (1905, 1907) ----- Émile Borel.
\Émile Borel (1893) ----- Gaston Darboux.
\Gaston Darboux (1866) ----- Michel Chasles.
\Michel Chasles (1814) ----- Simeon Denis Poisson.
\(Simeon Poisson: vide supra)
(This information was collected in June 2015 from the math genealogy database: http://genealogy.math.ndsu.nodak.edu/, ) where also the following disclaimer can be found: For the earlier periods the advisor/advisee relationship may not have been nearly so formal as it is in modern times. Thus, the links shown for those periods may reflect a mentor/student circumstance that is somewhat different than the links for more recent decades. [...] We acknowledge that the model we are using may well be anachronistic for the earlier periods.