Lecture, three hours; discussion, two hours. Requisite: course 33A. Techniques of proof, abstract vector spaces, linear transformations, and matrices; determinants; inner product spaces; eigenvector theory. P/NP or letter grading.
Select an instructor
Ebert, M. (Fall 2024)
Yeong, W. (Fall 2024)
Nienhaus, J. (Fall 2024)
Kim Tuan Do (Fall 2024)
The Staff (Fall 2024)
Morgan Opie (Fall 2024)
No instructors (Spring 2024)
Jukka Keranen (Spring 2024)
Letz, J. (Spring 2024)
Richard Wong (Spring 2024)
Knightly, A. (Winter 2024)
Brian Shin (Winter 2024)
Koffi Enakoutsa (Fall 2023)
Wang, C. (Fall 2023)
Scavia, F. (Fall 2023)
Demiroglu, Y. (Summer 2023)
Shinko, F. (Spring 2023)
Johnson, C.L. (Spring 2023)
Pablo S. Ocal (Spring 2023)
Leticia Dominguez and Sorin Popa (Winter 2023)
Luo, J. and Conley, W.J. (Winter 2023)
Gherman, M.M. and Conley, W.J. (Winter 2023)
Hyunki Min (Fall 2022)
Gherman, M.M. and Roper, M.L. (Summer 2022)
Kyle Gannon (Summer 2022)
Longxiu Huang (Spring 2022)
Gang Liu (Spring 2022)
Lawrence, B.R. (Winter 2022)
William Conley (Winter 2022)
Don M. Blasius (Winter 2022)
Rose Morris-Wright (Winter 2022)
Chi-Yun Hsu (Fall 2021)
Nicolle Gonzalez (Fall 2021)
Connie Jung (Summer 2021)
Siddharth Venkatesh (Spring 2021)
Shay Deutsch (Spring 2021)
Tyler Arant (Spring 2021)
Joseph Breen (Spring 2021)
Christy Hazel (Spring 2021)
Khan, M.H. et al. (Winter 2021)
Jonathan Rubin (Winter 2021)
Ko Honda (Fall 2020)
March Boedihardjo (Fall 2020)
Levon Nurbekyan (Summer 2020)
Nadja Hempel (Summer 2020)
Adam Moreno (Spring 2020)
Noah A.M. White (Spring 2020)
Jacob H. Rooney (Winter 2020)
Jose Ramon Madrid Padilla (Winter 2020)
Tyler Arant (Fall 2019)
Marco Marengon (Fall 2019)
Paul Balmer (Fall 2019)
Georg Menz (Summer 2019)
Niccolo Ronchetti (Summer 2019)
Clover May (Spring 2019)
Matthias Wink (Spring 2019)
Jeffrey Manning (Winter 2019)
Ka-Yuet Liu (Winter 2019)
James Cameron (Winter 2019)
Mikhail Hlushchanka (Fall 2018)
Allen Gehret (Fall 2018)
Lincoln Chayes and Leticia Dominguez (Fall 2018)
Michael Andrews (Summer 2018)
Omprokash Das (Summer 2018)
David Gieseker (Spring 2018)
Michael Willis (Spring 2018)
Jens Eberhardt (Spring 2018)
Aaron Royer (Spring 2018)
Baskar Balasubramanyam (Winter 2018)
Rolando de Santiago (Winter 2018)
Chenchen Mou (Fall 2017)
Daniel Hoff (Fall 2017)
Haruzo Hida (Fall 2017)
Jukka Keranen (Summer 2017)
Robert Greene (Spring 2017)
Artem Chernikov (Spring 2017)
Omer Ben Neria (Spring 2017)
Richard Elman (Spring 2017)
Spencer Unger (Winter 2017)
Romyar Sharifi (Winter 2017)
Olga Radko (Winter 2017)
Martin Tassy (Winter 2017)
James Ralston Jr (Fall 2016)
Andrew Manion (Fall 2016)
Alejandro Morales (Fall 2016)
Samuel Miner (Summer 2016)
Preston Wake (Spring 2016)
Yaozhong Liu (Spring 2016)
Matthew Lafferty (Spring 2016)
James Freitag (Spring 2016)
Kristen Hendricks (Winter 2016)
Matthias Aschenbrenner and Rodolfo de Sapio (Winter 2016)
Rodolfo de Sapio (Fall 2015)
Yang Zhang (Fall 2015)
Marc Nicole (Spring 2015)
Samuel Miner (Spring 2015)
Tova Brown (Spring 2015)
Marcy Robertson (Spring 2015)
Steven Heilman (Spring 2015)
Ming Yan (Winter 2015)
Luminita Vese (Winter 2015)
George Schaeffer (Fall 2014)
Aleksandra Kwiatkowska (Fall 2014)
David Renfrew (Spring 2014)
Ricardo Salazar (Spring 2014)
Jesse Burke (Spring 2014)
David Taylor (Spring 2014)
Zachary Alexander Maddock (Spring 2014)
Alexander Merkurjev (Spring 2014)
Zhengyu Xiang (Winter 2014)
Ke Yin (Fall 2013)
Francisco Castella (Fall 2013)
Allison L Gilmore (Fall 2013)
Igor Pak (Spring 2013)
Liam Watson (Winter 2013)
Handy, J. (Fall 2012)
Yohann Tendero (Fall 2012)
Murfet, D.S. (Winter 2012)
Jie Ma (Fall 2011)
Duncan, A.R. (Fall 2011)
Thomas Sinclair (Fall 2011)
Lucio Guerberoff (Fall 2011)
Geoffrey Mess (Fall 2011)
Goldbring, I.M. (Spring 2011)
Vilenchik, D. (Spring 2011)
Christian Haesemeyer (Winter 2011)
Green, M.L. (Winter 2011)
Murfet, D. (Fall 2010)
Krasner, D. (Fall 2010)
David Antieau (Fall 2010)
Shalom, Y. (Winter 2010)
Bateman, M.D. (Fall 2009)
Zhang, X. (Spring 2009)
Song, B. (Spring 2009)
William Duke (Spring 2009)
Weinstein, J.S. (Winter 2009)
Houdayer, C. (Winter 2009)
Oberlin, R.L. (Winter 2009)
Asok, A. (Fall 2008)
Dai, S. (Fall 2008)
Kucherenko, T. (Fall 2008)
Enderton, H.B. (Spring 2008)
Boisvert, A.R. (Winter 2008)
Valdimarsson, S.I. (Winter 2008)
Preda, C.I. (Winter 2008)
Bruce Rothschild (Winter 2008)
Wylie, W.C. (Spring 2007)
Laszlo Zsido (Spring 2007)
White, J.H. (Spring 2007)
Usvyatsov, A. (Winter 2007)
Jung, K.Y. (Winter 2007)
Grossman, N. (Fall 2006)
Perez-Marco, R. (Fall 2006)
Yu, X. (Spring 2006)
Lee, E.D. (Spring 2006)
Schonmann, R. (Spring 2006)
Schul, R. (Winter 2006)
Joukhovitski, V. (Fall 2005)
Fattorini, H.O. (Fall 2005)
Rowan Killip (Fall 2005)
Brose, A. (Spring 2005)
Xinxin Wang (Spring 2005)
Itay Neeman (Winter 2005)
Miller, M.D. (Winter 2005)
Poss, S. (Fall 2004)
Takesaki, M. (Spring 2004)
Karamyan, G. (Spring 2004)
Krishna, A. (Spring 2004)
Merkl, F.H. (Winter 2004)
Watson, T.C. (Winter 2004)
Edwards, R.D. (Fall 2003)
Xiaochun Li (Spring 2003)
Ketchersid, R.O. (Winter 2003)
Terence Tao (Fall 2002)
Emerson, N. (Fall 2002)
Finis, T. (Fall 2002)
Schacher, M.M. (Spring 2002)
Barakat, W. (Winter 2002)
Munoz-Garcia, E. (Winter 2002)
Hjorth, G. (Winter 2001)
Garibaldi, R.L. (Fall 2000)
Popovici, I. (Fall 2000)
Lee, Y. (Spring 2000)
Tornberg, A. (Winter 2000)
Badescu, L.S. (Winter 2000)
Hui, U. (Fall 1999)
Ebert, M.
24F
Yeong, W.
24F
Nienhaus, J.
24F
Kim Tuan Do
24F
The Staff
24F
Morgan Opie
24F
No instructors
24S
Jukka Keranen
24S
Letz, J.
24S
Richard Wong
24S
Knightly, A.
24W
Brian Shin
24W
Koffi Enakoutsa
23F
Wang, C.
23F
Scavia, F.
23F
Demiroglu, Y.
23Su
Shinko, F.
23S
Johnson, C.L.
23S
Pablo S. Ocal
23S
Leticia Dominguez and Sorin Popa
23W
Luo, J. and Conley, W.J.
23W
Gherman, M.M. and Conley, W.J.
23W
Hyunki Min
22F
Gherman, M.M. and Roper, M.L.
22Su
Kyle Gannon
22Su
Longxiu Huang
22S
Gang Liu
22S
Lawrence, B.R.
22W
William Conley
22W
Don M. Blasius
22W
Rose Morris-Wright
22W
Chi-Yun Hsu
21F
Nicolle Gonzalez
21F
Connie Jung
21Su
Siddharth Venkatesh
21S
Shay Deutsch
21S
Tyler Arant
21S
Joseph Breen
21S
Christy Hazel
21S
Khan, M.H. et al.
21W
Jonathan Rubin
21W
Ko Honda
20F
March Boedihardjo
20F
Levon Nurbekyan
20Su
Nadja Hempel
20Su
Adam Moreno
20S
Noah A.M. White
20S
Jacob H. Rooney
20W
Jose Ramon Madrid Padilla
20W
Tyler Arant
19F
Marco Marengon
19F
Paul Balmer
19F
Georg Menz
19Su
Niccolo Ronchetti
19Su
Clover May
19S
Matthias Wink
19S
Jeffrey Manning
19W
Ka-Yuet Liu
19W
James Cameron
19W
Mikhail Hlushchanka
18F
Allen Gehret
18F
Lincoln Chayes and Leticia Dominguez
18F
Michael Andrews
18Su
Omprokash Das
18Su
David Gieseker
18S
Michael Willis
18S
Jens Eberhardt
18S
Aaron Royer
18S
Baskar Balasubramanyam
18W
Rolando de Santiago
18W
Chenchen Mou
17F
Daniel Hoff
17F
Haruzo Hida
17F
Jukka Keranen
17Su
Robert Greene
17S
Artem Chernikov
17S
Omer Ben Neria
17S
Richard Elman
17S
Spencer Unger
17W
Romyar Sharifi
17W
Olga Radko
17W
Martin Tassy
17W
James Ralston Jr
16F
Andrew Manion
16F
Alejandro Morales
16F
Samuel Miner
16Su
Preston Wake
16S
Yaozhong Liu
16S
Matthew Lafferty
16S
James Freitag
16S
Kristen Hendricks
16W
Matthias Aschenbrenner and Rodolfo de Sapio
16W
Rodolfo de Sapio
15F
Yang Zhang
15F
Marc Nicole
15S
Samuel Miner
15S
Tova Brown
15S
Marcy Robertson
15S
Steven Heilman
15S
Ming Yan
15W
Luminita Vese
15W
George Schaeffer
14F
Aleksandra Kwiatkowska
14F
David Renfrew
14S
Ricardo Salazar
14S
Jesse Burke
14S
David Taylor
14S
Zachary Alexander Maddock
14S
Alexander Merkurjev
14S
Zhengyu Xiang
14W
Ke Yin
13F
Francisco Castella
13F
Allison L Gilmore
13F
Igor Pak
13S
Liam Watson
13W
Handy, J.
12F
Yohann Tendero
12F
Murfet, D.S.
12W
Jie Ma
11F
Duncan, A.R.
11F
Thomas Sinclair
11F
Lucio Guerberoff
11F
Geoffrey Mess
11F
Goldbring, I.M.
11S
Vilenchik, D.
11S
Christian Haesemeyer
11W
Green, M.L.
11W
Murfet, D.
10F
Krasner, D.
10F
David Antieau
10F
Shalom, Y.
10W
Bateman, M.D.
09F
Zhang, X.
09S
Song, B.
09S
William Duke
09S
Weinstein, J.S.
09W
Houdayer, C.
09W
Oberlin, R.L.
09W
Asok, A.
08F
Dai, S.
08F
Kucherenko, T.
08F
Enderton, H.B.
08S
Boisvert, A.R.
08W
Valdimarsson, S.I.
08W
Preda, C.I.
08W
Bruce Rothschild
08W
Wylie, W.C.
07S
Laszlo Zsido
07S
White, J.H.
07S
Usvyatsov, A.
07W
Jung, K.Y.
07W
Grossman, N.
06F
Perez-Marco, R.
06F
Yu, X.
06S
Lee, E.D.
06S
Schonmann, R.
06S
Schul, R.
06W
Joukhovitski, V.
05F
Fattorini, H.O.
05F
Rowan Killip
05F
Brose, A.
05S
Xinxin Wang
05S
Itay Neeman
05W
Miller, M.D.
05W
Poss, S.
04F
Takesaki, M.
04S
Karamyan, G.
04S
Krishna, A.
04S
Merkl, F.H.
04W
Watson, T.C.
04W
Edwards, R.D.
03F
Xiaochun Li
03S
Ketchersid, R.O.
03W
Terence Tao
02F
Emerson, N.
02F
Finis, T.
02F
Schacher, M.M.
02S
Barakat, W.
02W
Munoz-Garcia, E.
02W
Hjorth, G.
01W
Garibaldi, R.L.
00F
Popovici, I.
00F
Lee, Y.
00S
Tornberg, A.
00W
Badescu, L.S.
00W
Hui, U.
99F
Enrollment data not available.
Previously taught
14F
12F