Our Mathematical Ancestors (October 1999)


Christos Athanasiadis

Chebyscheff  --> Markov  --> Tamarkin  --> Nelson Dunford  --> Jacob T. Schwartz  --> Gian-Carlo Rota  --> Richard P. Stanley

Jonathan Block

Raoul Bott

Irene I. Bouw

F. Oort

Eugenio Calabi

Lindemann & (Julius Plucker  --> Felix Klein  --> Adolph Hurwitz)  --> David Hilbert  --> Erhard Schmidt  --> Salomon Bochner

Thesis Students: R. J. Milgram, Carlos Ferraris, Salvador Gigena, Tom Sayin Ho, Jianfang Li, Xiuxiong Chen

Luca Capogna

J. J. v. Littrow  --> N. Braschman  --> P. L. Chebyshev  --> G. F. Voronoi  --> W. Sierpinski  --> S. Mazurkiewicz \& Aleksander Rajchman  --> Antoni Zygmund  --> Eugene Fabes  --> _Nicola Garofal

Ching-Li Chai

Brioschi  --> Cremona  --> Veronese  --> G. Castelnuovo  --> Oscar Zariski  --> David Mumford

Thesis Students: Jeff Achter, Chia-Fu Yu

Ted Chinburg

Josef Stefan  --> Ludwig Boltzmann  --> Gustav Herglotz  --> Emil Artin  --> John T. Tate

Thesis Students: Sunghan Bae, Seyong Kim, David Solomon, Tom Schmidt, Tony Costa, Adebisi Agboola, Mike Rogers, George Pappas, Chi-Fong Lau, Seon-In Kwon, Caiqun Xiao, Shubin Hu, Matrias Atria, Darren Glass

Christopher Croke

E. H. Moore  --> George David Birkhoff  --> M. H. Stone  --> Richard V. Kadison  --> Richard Lashof

Thesis Students: Jin-Whan Yim, Jianguo Cao, Tobias Colding, Xiaobo Liu, Scott Pauls

Dennis DeTurck

Ernst Lindelöf & Rolf Nevanlinna  --> Lars V. Ahlfors
K. Weierstrass  --> G. Frobenius  --> Issai Schur  --> M. M. Schiffer
           --> Paul R. Garabedian  --> Jerry L. Kazdan

Thesis Students: Pei-Kun Chang, George Kamberov, Janet Talvacchia, Joseph Iaia, Zhenyu Zhang, Nets Katz

Ron Donagi

E. W. Barnes  --> J. Littlewood  --> Donald Spencer  --> Phillip Griffiths

Thesis Students: Stefanos Pantazis, Leon Fairbanks, Eyal Markman, Tony Pantev, Ludmil Katzarkov, Amy Ksir, Ilia Zharkov, Madeeha Khalid

Charles L. Epstein

Lindemann & (Julius Plucker  --> Felix Klein  --> Adolph Hurwitz)  --> David Hilbert  --> Richard Courant  --> Kurt O. Friedrichs  --> Peter D. Lax

Thesis Students: Yong Ouyang, Roger Lin, Hyunsuk Kang

J. Michael G. Fell

John L. Kelley

Thesis Students: Larry Baggett, Magnus Landstad, Ru-Ying Lee, Bruce Evans

Peter Freyd

Karl Jacobi  --> Wilhelm Scheibner  --> William Story  --> Solomon Lefschetz  --> Norman Steenrod

Thesis Students: Richard Faber, Brandeis, Marta Bunge, Orville Kean, Murray Adelman, Preston Kohn, Douglas Howe, Samuel Johnson (U of North Carolina), David Joyce, David Yetter, Stacy Finkelstein

Murray Gerstenhaber

H. Maschke & E. H. Moore  --> Leonard Eugene Dickson  --> A. Adrian Albert (J. Hadamard  --> A. Weil)

Thesis Students: George Patterson, August Albert Sardinas, Maxine Rockoff, John Vincent Leahy, John Joseph Schiller, Frances Callahan, Frank Young, Avigdor Zaromp, Jane C. Purcell, Margaret Sherwin Weinblatt, Sandra Zaroodny, Ralph May, Samuel Donald Schack, Vincent E. Coll, Anthony Giaquinto

Herman R. Gluck

Karl Jacobi  --> Wilhelm Scheibner  --> William Story  --> Solomon Lefschetz  --> Ralph Fox

Thesis Students: Nelson Max, David Singer, David Sprows, Kenneth Krigelman, Alan Kafker, John Petro, Sharon Pedersen, Liu-Hua Pan, Weiqing Gu, Jason Cantarella

Fan Chung Graham

E.H. Moore  --> G.D. Birkhoff  --> H. Whitney  --> Herbert Robbins  --> Herbert S. Wilf

Thesis Students: Alec Mihailov, Chao Yang, Linyuan Lu, Y. S. Zhang

Antonella Grassi

E. W. Barnes  --> J. Littlewood  --> Donald Spencer  --> Phillip Griffiths  --> D. Morrison

David Harbater

Brioschi  --> Cremona  --> Veronese  --> G. Castelnuovo  --> Oscar Zariski  --> Michael Artin

Thesis Students: Sybilla Beckmann, Eric Dew, Katherine Stevenson, Tamara Lefcourt, Rachel Pries, Claus-Georg Lehr, Cui Yin

Hongde Hu

Michael Makkai

Richard V. Kadison

E. H. Moore  --> George David Birkhoff  --> M. H. Stone

Thesis Students: Johan Aarnes, Alan Hopenwasser, Sze-Kai (Jack) Tsui, Baruch Solel, Berndt Brenken, Alexander Kaplan, Mikael Rordan, Kjeld Knudsen Jensen, Mogens Hansen, Liming Ge, Xiong Liu

Jerry L. Kazdan

Ernst Lindelöf & Rolf Nevanlinna  --> Lars V. Ahlfors
K. Weierstrass  --> G. Frobenius  --> Issai Schur  --> M. Schiffer
           --> Paul R. Garabedian

Thesis Students: Francoise Schremmer, Richard J. Kramer, Wu-Teh Hsiang, Dennis DeTurck, Carlos Corona, Zhiren Jin, Marcus Khuri

Andrew H. Kresch

Lindemann & (Julius Plucker  --> Felix Klein  --> Adolph Hurwitz)  --> David Hilbert  --> Erhard Schmidt  --> Salomon Bochner  --> G. Washnitzer  --> William Fulton

Alexandre Kirillov

J. Hadamard & G. Darboux  --> N. N. Lusin  --> A. N. Kolmogorov  --> I. M. Gelfand

Thesis Students: I. Ya. Vahutinsky, David Kazhdan, Sergei Gelfand, G. I. Ol'shanski, N. Shapovalov, S. Fomin, I. A. Kostrikin, I. M. Shchepochkina A. Gnedin, I. Busyatskaya, V. Shtepin, A. Fialowski, A. Zaitsev, E. Gutkin, R. Suncheleev, A. Panov, V. A. Ginzburg, M. Golenishcheva-Kutuzova, Andrei Zelevinski, B. Cikos, Yu. A. Neretin, V. Ovsienko, A. Molev, M. Nazarov, Do Ngok Diep, D. V. Yuriev, V. Stepin, A. Karabegov, P. Grozman, A. Sergeev, A. Okun'kov, Aleksandrs Mihailov, Vladimir Dergachev, Robert Masenten, Alexei Borodin, Ning Yan, Natasha Rojkovskaia

Albert Nijenhuis

J. Cardinaal  --> J.A. Schouten
Thesis Students: Edward T. Kobayashi, Stanistas Klasa, Sara Salvioli, Ebadollah S. Mahmoodian, Yui-Hoi Harris Kwong

Norman Oler

Josef Stefan  --> Ludwig Boltzmann  --> Gustav Herglotz  --> Emil Artin  --> Hans Zassenhaus

Tony Pantev

E. W. Barnes  --> J. Littlewood  --> Donald Spencer  --> Phillip Griffiths  --> Ron Donagi

Michael Pimsner

Miro Nicolescu  --> Ciprian Foias  --> Dan Voiculescu

Gerald J. Porter

Karl Jacobi  --> Wilhelm Scheibner  --> William Story  --> Solomon Lefschetz  --> Norman Steenrod  --> George Whitehead  --> John C. Moore  --> William Browder

Thesis Students: Albert Shar

Robert T. Powers

John A. Wheeler  --> Arthur Wightman

Thesis Students: Terrance Lenahan, Andre Girard, Mitch Baker, Geoffrey Price, George Stanatopolos, Makoto Saito

Mary Pugh

Shmuel Agmon  --> Peter Constantin

Andre Scedrov

James Clerk Maxwell  --> W. D. Niven  --> Alfred North Whitehead  --> Willard Van Orman Quine  --> John Myhill

Thesis Students: Richard F. Blute, Moez Alimohamed, Peter Selinger, Rohit Chadha

David Shale

K. Weierstrass  --> H. A. Schwarz  --> L. Fejer  --> Marcel Riesz  --> Einar Hille  --> Irving E. Segal

Julius Shaneson

Karl Jacobi  --> Wilhelm Scheibner  --> William Story  --> Solomon Lefshetz  --> Norman Steenrod  --> Mel Rothenberg

Thesis Students:Simon Aloff, Tim Lance, Edgar Beccerra, Val Vijums, Theodore Wilson, Kent Orr, Abbey Thompson , Monica Nicolau, Susan Szczepanski, Gustavo Comezana, Shenjun Jiang, Michael Chkhenkeli, Stephen Frye

Stephen S. Shatz

Otto Mencken  --> Johann Christoph Wichtsmannhausen  --> Christian August Hansen  --> Abraham Gotthelf Ka"stner  --> Johann Pfaff  --> Carl Friedrich Gauss  --> Friedrich Bessel  --> Heinrich Scherk  --> Ernst Edouard Kummer  --> Paul DuBois Raymond  --> Otto Ho"lder  --> Emil Artin
Josef Stefan  --> Ludwig Boltzmann  --> Gustav Herglotz  --> Emil Artin  --> John T. Tate

Thesis Students: Peter A. Norman, Steven I. Sperber, Paul Dana Cole, Marjory Baruch, Eric Brosius, Sung-Sik Woo

Eugene Stern

Ludwig Faddeev  --> Nicolai Reshetikhin

Harry Tamvakis

Lindemann & (Julius Plucker  --> Felix Klein  --> Adolph Hurwitz)  --> David Hilbert  --> Erhard Schmidt  --> Salomon Bochner  --> G. Washnitzer  --> William Fulton

Andrew Wallace

Frank Warner

K. Weierstrass  --> H. A. Schwarz  --> L. Fejer  --> Marcel Riesz  --> Einar Hille  --> Irving E. Segal  --> Isadore M. Singer

Thesis Students: Alan Weinstein (with S. S. Chern), Joanne Trimble, Midori Goto.

Herbert S. Wilf

E.H. Moore  --> G.D. Birkhoff  --> H. Whitney  --> Herbert Robbins

Thesis Students: Peter Sellers, Roy Levow, Michael Albertson, Joseph Bolmarcich, Alex Lyczak, Eli Mandelbaum, William Kuhn, Joan Hutchinson, Fan R. K. Chung, Paul Klingsberg, Judith Dayhoff, Rodica Simion, Janet S. Beissinger, Kathleen O'Hara, Felix Lazebnik, Nancy Yoshimura, Eric Schmutz, Jennifer Zito, Richard Garfield, Lily Yen, Anthony Mikovsky Alkes Price, Alexander Burstein, Yuan-Sheng Zhang, Aaron Jaggard

Jie Wu

Karl Jacobi  --> Wilhelm Scheibner  --> William Story  --> Solomon Lefschetz  --> Norman Steenrod  --> George Whitehead  --> John C. Moore  --> Peter May  --> Fred Cohen
Chung-Tao Yang

E.H. Moore  --> O. Veblen and (J. J. Sylvester  --> G. B. Halstead)  --> R. L. Moore  --> G. T. Whyburn  --> A. D. Wallace

Wolfgang Ziller

Karl Heinrich Weise  --> Wilhelm Klingenberg

Thesis Students: Donald Brittain, Duojia Lu, Mingliang Cai, Lorenz Schwachhoefer, Christine Escher, Andy Hicks, Megan Kerr, Sarah Greenwald, Kristopher Tapp, William Dickinson, Weimin Fang


Recently Deceased Colleagues
Oscar Goldman

Claude Chevalley

Lajos Pukanszky

Frigyes Riesz & Gyula Szokefalvi-Nagy  --> Bela Szokefalvi-Nagy

Dock Sang Rim

Josef Stefan  --> Ludwig Boltzmann  --> Gustav Herglotz  --> Emil Artin  --> George Whaples