This page lists my academic genealogy, which can be traced back to Friedrich Leibniz in the 17th Century. I found most of the information prior to Thomas Caughey on The Mathematics Genealogy Project. However, I should point out that Thomas Caughey may not have had an advisor while he was at Caltech. He acknowledges Charles DePrima and Donald Hudson in his dissertation, but does not specifically cite either as being his advisor.
Jeff Scruggs advised Ian Cassidy at Duke University (USA). Dissertation: Control of Vibratory Energy Harvesting Systems in the Presence of Nonlinearities and Power Flow Constraints, 2012.
Wilfred Iwan advised Jeff Scruggs at Caltech (USA). Dissertation: Structural control using regenerative force actuation networks, 2004.
Thomas Caughey advised Wilfred Iwan at Caltech (USA). Dissertation: The dynamic response of bilinear hysteretic systems, 1961.
Charles DePrima advised Thomas Caughey at Caltech (USA). Dissertation: The existence and stability of periodic motions in forced non-linear oscillations, 1954.
Richard Courant advised Charles DePrima at NYU (USA). Dissertation: Uniqueness theory for linear hyperbolic differential equations, 1943.
David Hilbert advised Richard Courant at the University of Gottingen (Germany). Dissertation (English translation): On the application of Dirichlet's principle to the problems of conformal mappings, 1910.
Ferdinand von Lindemann advised David Hilbert at the University of Konigsberg (Russia). Dissertation (English translation): On the invariant properties of special binary forms, in particular the spherical harmonic functions, 1885.
Felix Klein advised Ferdinand von Lindemann at Universitat Erlangen Nurnberg (Germany). Dissertation (English translation): On infinitely small movements and energy systems in general projective determinations of measure, 1873.
Julius Plucker advised Felix Klein at the University of Bonn (Germany). Dissertation (English translation): On the transformation of general equations of second-degree lines between coordinates on a canonical form, 1868.
Christian Ludwig Gerling advised Julius Plucker at the University of Marburg (Germany). Dissertation (English translation): General analysis and a higher mechanical application of geometry to those things which are the foundations of base and leads of Taylor series, 1823.
Carl Friedrich Gauss advised Christian Ludwig Gerling at the University of Gottingen (Germany). Dissertation (Latin): Methodi proiectionis orthographicae usum ad calculos parallacticos facilitandos explicavit simulque eclipsin solarem die, 1812.
Johann Friedrich Pfaff advised Carl Friedrich Gauss at the University of Helmstedt (Germany). Dissertation (Latin): Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse, 1799.
Abraham Kaestner advised Johann Friedrich Pfaff at the University of Gottingen (Germany). Dissertation (Latin): Commentatio de ortibus et occasibus siderum apud auctores classicos commemoratis, 1786.
Christian August Hausen advised Abraham Kaestner at the University of Leipzig (Germany). Dissertation (Latin): Theoria radicum in aequationibus, 1739.
Johann Christoph Wichmannshausen advised Christian August Hausen at the University of Wittenberg (Germany): Dissertation (Latin): De corpore scissuris figurisque non cruetando ductu, 1713.
Otto Mencke advised Johann Christoph Wichmannshausen at the University of Leipzig (Germany). Dissertation (Latin): Disputationem moralem de divortiis secundum jus naturae, 1685.
Jakob Thomasius advised Otto Mencke at the University of Leipzig (Germany). Dissertation (Latin): Ex theologia naturali – de absoluta dei simplicitate, micropolitiam, id est rempublicam in microcosmo conspicuam, 1665.
Friedrich Leibniz advised Jakob Thomasius at the University of Leipzig (Germany). Dissertation: Unknown, 1643.
It is unknown who advised Friedrich Leibniz. However, Friedrich Leibniz was Gottfried Leibniz's father.