Courses

Find our course schedules, syllabi and exams, and course notes below.

For the most up-to-date courses, visit CUNY's Dynamic Course Schedule.

General Introductory Courses

Unless otherwise stated, the following courses are 45 hours plus conferences, 4.5 cr. [70000 level courses meet twice a week, 1 hour and 15 minutes per session.] 

MATH 70100-70200 Functions of a Real Variable
MATH 70300-70400 Functions of a Complex Variable
MATH 70500-70600 Algebra
MATH 70700-70800 Topology
MATH 70900-71000 Differential Geometry
MATH 71100-71200 Logic

Special Topics Courses

A variety of courses will be offered in special areas, number of credits and hours to be announced when scheduled. All independent research courses carry variable credits.  Appropriate prerequisites will be indicated for each course when it is given. [80000 level courses meet either once a week, 2 hours per session (3 cr.), or twice a week, 1 hour and 15 minutes per session (4.5 cr.)]

Research for the doctoral thesis requires permission of a faculty supervisor and approval by the Executive Officer.

MATH 89901 Independent Research in Analysis
MATH 89902 Independent Research in Algebra and Number Theory
MATH 89903 Independent Research in Geometry and Topology
MATH 89904 Independent Research in Logic
MATH 89905 Independent Research in Applied Math
MATH 90000 Dissertation Supervision (1 credit)

Hours and credits to be announced when given.

Courses in this number series are intended to serve as an introduction to mathematical research and will be focused on problems at a level of difficulty suitable for qualified first-year graduate students. Permission of the instructor is required.

Courses

All classes are scheduled for in person only at the Graduate Center. See CUNYFirst for updated room assignments.

MATH 70100: Functions of a Real Variable [41000]
T &Th, 9:30am - 11:00am, Room TBA
Prof. S. Chatterjee
4.5 cr.

MATH 70300: Functions of a Complex Variable [40998]
M & W, 11:45am – 1:45PM, Room TBA
Prof. D. Aulicino
4.5 cr.

MATH 70700: Topology [40997]
M & W, 2:00pm – 4:00pm, Room TBA
Prof. J. Terilla
4.5 cr.

MATH 71100: Logic I [40996]
W & F 10:00am – 11:30am, Room TBA
Prof. P. Rothmaler
4.5 cr.

MATH 82530: 3D topology and fluid dynamics [40995]
T, 11:00am - 1:00pm, Room TBA
Prof. D. Sullivan
3 cr.

MATH 83100: Introduction to Renormalization [40994]
W, 11:15am - 1:15pm, Room TBA
Prof. E. Pujals
3 cr.

MATH 85600: Intro. to Partial Differential Equations [xxxxx]
Th, 11:45am -1:45pm, Room TBA
Prof. V. Martinez
3 cr.

MATH 86600: Structures on Manifolds [40993]
F, 2:00pm - 4:00pm, Room TBA
Prof. S Wilson
3 cr.

MATH 87000: Topics in Algebraic Number Theory [52588]
Th, 2:00pm - 4:00pm, Room TBA
Prof. V. Kolyvagin
3 cr.

MATH 87700: Intro. to Algebraic Geometry [40999]
M, 9:30am - 11:30am, Room TBA
Prof. A. Obus
3cr.

MATH 89901.03: Research Seminar
M, 4:15pm - 6:15pm, Room TBA
Team Taught
1 cr.

Classes will be in person or hybrid (online & in person) as indicated. In person dates for Hybrid classes are specified by clicking on the blue highlighted Course description provided by the instructor.
                 
Math 70400: Functions of a Complex Variable [62221]

M & W, 2:00pm-3:30pm, In Person, Rm.6417 
Prof. S. Mitra
4.5 cr.
 
Math 70600: Algebra II [62223]

M & W, 12:00pm-1:30pm, In Person, Rm.6417
Prof. O. Kharlampovich
4.5 cr.
 
Math 70910: Research Seminar [62224]

M, 4:15pm-6:15pm, In Person, Rm.6417
Team Taught
1 cr.
 
Math 71000: Differential Geometry I [62226]
W: 9:30am-11:00am, In Person, Rm.6417
F:  2:00pm-3:30pm, In Person, Rm.6417
Prof. L. Fernandez
4.5 cr.
 
Math 71200: Logic I [62228]

T & Th, 4:15pm-5:45pm, In Person, Rm.TBA
Prof. G. Fuchs
4.5 cr.
 
Math 82600: Topology and Geometry in Low Dimensions [62353]

T, 11:00am-1:00pm, Hybrid, Rm.6417
Prof. D. Sullivan
3 cr.
 
Math 83200: Introduction to Conservative and Symplectic Dynamics [62229]

W, 11:15am-1:15pm, In Person, Rm.5417
Prof. E. Pujals
3 cr.
 
Math 83600: Probability II [62359]

Th, 9:30am-11:30am, Hybrid, Rm.6417
Prof. S. Chatterjee
3 cr.
 
Math 85600: Intro. to Functional Analysis [62379]

Fri, 9:30am-11:30am, Hybrid, Rm.5417
Prof.  A. Mayeli
3 cr.
 
Math 87000: Topics in Algebraic Number Theory [62387]

Th, 2:00pm-4:00pm, Hybrid, Rm.6417
Prof. V. Kolyvagin
3 cr.
 
Math 87100: Knots and 3-Manifolds [62241]

Th, 11:45am-1:45pm, In Person, Rm.6417
Prof. A. Champanerkar
3 cr.
 
Math 87800: Topics in Number Theory [62393]

M, 2:00pm-4:00pm, Hybrid, Rm.5417
Prof. A., Gamburd
3 cr.

Most classes remain online. The exceptions are noted below.
 
 
MATH 70300: Functions of a Complex Variable [52071] 
W & F, 11:45am - 1:15pm, Online 
Prof. S. Zakeri 
4.5 cr. 
 
MATH 70500: Algebra I [52072] 
T & Th, 9:30am - 11:00am, Online
Prof. K. Bou-Rabee 
4.5 cr. 
 
MATH 70900: Differential Geometry I [52073] 
T & Th, 4:15pm - 5:45pm, Online
Prof. M. Lucia 
4.5 cr. 
 
MATH 71100: Logic I [52074] 
M & W, 6:30pm - 8:00pm, Online
Prof. H. Schoutens 
4.5 cr. 
 
MATH 81400:Topics in Real Complexity and Dynamical Systems [52075] 
T, 4:15pm – 6:15pm, In Person 
Prof. M. Shub 
3 cr. 
 
MATH 81600: Probability Theory I [52076] 
M, 10:45am - 12:45pm, Online 
Prof. E. Kosygina 
3 cr.  
 
MATH 82530: Topology and geometry in low dimensions [52077]  
T, 11:00am - 1:00pm, Hybrid - In person Aug 30, Sept 14, Oct 5, Nov 2 & Dec 7. Online all other sessions.
Prof. D. Sullivan  
3 cr.  
 
MATH 83100: Introduction to Ergodic Theory [52078] 
W, 11:15am - 1:15pm, In Person 
Prof. E. Pujals 
3 cr. 
 
MATH 87100: An introduction to geometric group theory [52079] 
W, 2:00pm - 4:00pm, In Person 
Prof. J. Behrstock 
3 cr. 
 
MATH 87400: Topics in number theory [52080] 
M, 2:00pm - 4:00pm, Online
Prof. A. Gamburd 
3 cr. 
 
MATH 89901: Research Seminar [52081] 
M, 4:15pm - 6:15pm, Online
Team Taught 
1 cr. 

Math Courses – Spring 2021 
[All courses will be online only due to COVID-19.  Contact Instructor for meeting details.] 
 

MATH 70200: Functions of a Real Variable [61113] 

T & TH 11:45am - 1:15pm, Online

Prof. M. Lucia

4.5 cr.

 

MATH 70600: Algebra [64150] 

T & TH ,9:30am - 11:00am, Online 

Prof. B. Steinberg 

4.5 cr. 

 

MATH 70800: Topology [61115] 

M & W 12:00pm - 1:30pm, Online 

Prof. A. Champanerkar 

4.5 cr. 

 

MATH 70900: Differential Geometry I [61142] 

M & W, 9:30am - 11:00am, Online 

Prof. M. Zeinalian 

4.5 cr. 

 

MATH 89901: Research Seminar [61153] 

M, 4:15pm - 6:15pm, Online 

Team Taught 

1 cr. 


MATH 82600: Topology and Geometry in Low Dimensions [61145] 

T, 11:00am - 1:00pm, Online 

Prof. D. Sullivan 

3 cr. 

 

MATH 87000: Introduction to Algebraic Number Theory [56733] 

TH, 2:00pm - 4:00pm, Online 

Prof. V. Kolyvagin 

3 cr. 

 

MATH 71300: Computability Theory Throughout Mathematics [61144] 

F, 9:30am - 11:30am, Online 

Prof. R. Miller 

3 cr. 

 

MATH 83200:  Intro to Dynamical Systems [61146] 

W, 11:15am - 1:15pm, Online 

Prof. Enrique Pujals 

3 cr. 

 

MATH 87800: Equidistribution and Pseudorandomness in Number Theory [61150] 

M, 2:00pm - 4:00pm, Online 

Prof. Alexander Gamburd 

3 cr. 

 

MATH 88100: Quasiconformal Mappings and Riemann Surfaces [61152] 

F, 11:45am - 1:45pm, Online 

Prof. Yunping Jiang 

3 cr. 

See Also
BIOL 79304 Seminar: Theory of Deep Learning
W, 2:00pm‐4:00pm, Online      
Prof. David Schwab
3 Cr.

[All courses will be online only due to COVID-19.  Contact Instructor for meeting details.]

 

MATH 70100: Functions of a Real Variable [56724]

W & F 2:00pm - 3:30pm, Online

Prof. E. Kosygina

4.5 cr.

MATH 70500: Algebra [56725]

M & W ,9:30am - 11:00am, Online

Prof. I. Kapovich

4.5 cr.

MATH 70700: Topology I [56726]

T & TH 11:45am - 1:15pm, Online

Prof. J. Terilla

4.5 cr.

MATH 70900: Differential Geometry I [56727]

T & Th, 9:30am - 11:00am, Online

Prof. T. Tradler

4.5 cr.

MATH 70911: Research Seminar [56728​ ]

M, 4:15pm - 6:15pm, Online

Team Taught

1 cr.

MATH 71300: Model Theory of Fields [56729]

F, 9:30am - 11:30am, Online

Prof. A. Dolich

3 cr.

MATH 82530: Topology and geometry in low dimensions [56730]

T, 11:15am - 1:00pm, Online

Prof. D. Sullivan

3 cr.

MATH 83100: Introduction to Ergodic Theory [56731]

W, 11:15am - 1:15pm, Online

Prof. E. Pujals

3 cr.

MATH 87000: Introduction to Algebraic Number Theory [56733]

Th, 2:00pm - 4:00pm, Online

Prof. V. Kolyvagin

3 cr.

MATH 87400: Topics in Number Theory [56734]

M, 2:00pm - 4:00pm, Online

Prof. A. Gamburd

3 cr.

MATH 88100: Topics Riemann Surfaces [56735]

W, 3:45pm – 5:45pm, Online

Prof. A. Basmajian

3 cr.

[All courses meet at the Graduate Center- Check CunyFirst for Room Changes.]

MATH 70200: Functions of a Real Variable [61257]
W, F 9:30:00 AM - 11:00:00 AM, Rm. GC-5417
Prof. Louis-Pierre Arguin
4.5 Cr.

MATH 70400: Functions of Complex Variable [61260]
M 11:45:00 AM - 1:15:00 PM, Rm. GC-5417
W 2:00:00 PM - 3:30:00 PM, Rm. GC-5417
Prof. Dragomir Saric
4.5 Cr

MATH 70800: Topology [61261]
T, Th 9:30:00 AM - 11:00:00 AM, Rm. GC-6417
Prof. Robert Thompson
4.5 Cr

MATH 70910: Problem Seminar [61262]
M 4:15:00 PM - 6:15:00 PM, Rm. GC-5417
Prof. Ara Basmajian
1 Cr

MATH 71200: Logic I [61263]
T, Th 6:30:00 PM - 8:30:00 PM, Rm. GC-5417
Prof. Russell Miller
4.5 Cr
 

MATH 82630: Understanding Algebraic Topology [61264]
T 11:15:00 AM - 1:15:00 PM, Rm. GC-6417
Prof. Dennis Sullivan
3 Cr

MATH 83200: Hyperbolic dynamics and relations with  geometry [61265]
W 11:15:00 AM - 1:15:00 PM, Rm. GC-5417
Prof. Enrique Pujals
3 Cr

MATH 86600: K-theory&Characteristic Class [61266]
M 11:45:00 AM - 1:45:00 PM, Rm. GC-6417
Prof. Mahmoud Zeinalian
3 Cr

MATH 87000: Intro to Algebraic Num Theory [61267]
Th 2:00:00 PM - 4:00:00 PM, Rm. GC-6417
Prof. Victor Kolyvagin
3 Cr

MATH 87100: Modular Forms & Arithemtic [61268]
T 2:00:00 PM - 4:00:00 PM, Rm. GC-6417
Prof. Krzysztof Klosin
3 Cr
 

MATH 87700: Intro to Algebraic Geometry [61269]
Cancelled Spring 2020
W 4:00:00 PM - 6:00:00 PM, Rm. GC-6417
Prof. Lucien Szpiro
3 Cr.

MATH 87800: Topics in Number Theory [61270]
M 2:00:00 PM - 4:00:00 PM, Rm. GC-5417
Prof. Alexander Gamburd
3 Cr.
 

See Also
CSC 87100/CRN 64061: Computations with Matrices and Polynomials
F, 2:00pm- 4:00pm, Rm. 3308
Prof. Victor Pan
3 Cr.

[All courses meet at the Graduate Center - Check CunyFirst for Room #]



MATH 70100: Functions of a Real Variable [59323]
Mon 12:00pm -1:30pm, Rm. 6496
Fri, 12:00pm- 1:30pm, Rm. 5417
Prof. P. Hooper
4.5 cr.

MATH 70300: Functions of a Complex Variable [59324]
T,10:00am - 11:30am & W,11:45am - 1:15pm, Rm. 5417
Prof. A. Basmajian
4.5 cr.

MATH 70700: Topology I [59325]
T & TH 12:00pm - 1:30pm, Rm.5417
Prof. J. Maher
4.5 cr.

MATH 71100: Logic I [59326]
W & F, 10:00am - 11:30am, Rm.5417
Prof. P. Rothmaler
4.5 cr.

MATH 70910: Graduate Student Colloquium [59335]
M, 4:15pm - 6:15pm, Rm. 5417
Team Taught
1 cr. 

MATH 82530: Understanding algebraic topology geometrically [59327]
T, 11:15am - 1:45pm, Rm. 6417
Prof. D. Sullivan 
3 cr.

MATH 83100: Introduction to Ergodic Theory [59328]
M, 11:45am - 1:45pm, Rm. 6417
Prof. E. Pujals
3 cr.

MATH 85600: Introduction to Ordinary Differential Equations [59329]
Th, 9:30am - 11:30am, Rm. 4419
Prof. M. Lucia
3 cr.

MATH 86500: Special Topics in Metric Spaces [59330]
Th, 6:30pm - 8:30pm, Rm. C415A
Prof. C. Sormani
3 cr.

MATH 87000: Introduction to Algebraic Number Theory [59331]
Th, 2:00pm - 4:00pm, Rm. 6417
Prof. V. Kolyvagin
3 cr. 

MATH 87200: Linear Groups and Group Representations [59332]
F, 2:00pm - 4:00pm, Rm. 3212
Prof. O. Kharlampovich 
3 cr. 

MATH 87400: Topics in Number Theory [59333]
M, 2:00pm - 4:00pm, Rm. 5417
Prof. A. Gamburd
3 cr.

MATH 87700: Introduction to Algebraic Geometry [59334]
Cancelled Fall 2019
W, 4:00pm - 6:00pm
Prof. L. Szpiro
3 cr. 


See Also 

CSC 80010: Modern Cryptography
M, 2:00pm- 4:00pm, Rm. TBA
Prof. Nelly Fazio

                                    [All courses meet at the Graduate Center]

MATH 70400: Functions of a Complex Variable 
M & W, 9:30am - 11:00am, Rm. 5417
Prof. S. Mitra
4.5 cr.

MATH 70600: Algebra I
W, 6:30pm - 8:00pm, Rm.6495
F, 4:15pm-5:45pm 
Prof. K. Klosin 
4.5 cr.

MATH 71000: Differential Geometry I
T& TH, 11:45 am - 1:15pm, Rm. 5417
Prof. J. Dodziuk 
4.5 cr

MATH 71200: Logic I
W & F, 12:15pm -1:45pm, Rm. 9116
Prof. G. Fuchs
4.5 cr.

MATH 71300: Ultraproducts in Commutative Algebra
T, 6:30pm- 8:30pm, Rm 5417
Prof. H. Schoutons 
3 cr.
 
MATH 82600: Topology II-Intermediate Alg. Topology  
M,10:45am -12:45pm, Rm. 6417
Prof. D. Sullivan
3 cr.

MATH 83200: Dynamics and Ergodic Theory
T, 9:30am - 11:30am, Rm. 6417
Prof. E. Pujals
3 cr.

MATH 83530: Algebra II: Intro. to Alg. Geom. & Number Theory 
W, 4:00pm - 6:00pm, Rm. 6417
Prof. L. Szpiro
3 cr.

MATH 83600: Probability II
T, 2:00pm - 4:00pm , Rm 5417
Prof. E. Kosygina 
3 cr.

MATH 85600: Topics in Functional Analysis
F, 11:45am- 1:45pm, Rm 5417
Prof. R. Wojciechowski 
3 cr.

MATH 87000: Topics in Algebraic Number Theory 
TH, 2:00pm- 4:00pm, Rm. 6417
Prof. V. Kolyvagin
3 cr.

MATH 87100: Random Walks On Geometric Groups
TH, 9:30am - 11:30am, Rm. 5417
Prof. J. Maher 
3 cr.

MATH 87800: Topics in Number Theory 
M, 2:00pm - 4:00pm, Rm. 5417
Prof. A. Gamburd
3 cr.

                                    [All courses meet at the Graduate Center]

MATH 70300: Functions of a Complex Variable [64037]
M & W, 9:30am - 11:00am, Rm. 5417
Prof. S. Mitra
4.5 cr.

MATH 70500: Algebra I [64039]
M & W, 2:00pm - 3:30pm, Rm. 6496
Prof. M. Nathanson
4.5 cr.

MATH 70900: Differential Geometry I [64040]
T & Th, 11:45am - 1:15pm, Rm. 5417
Prof. A. Basmajian
4.5 cr.

MATH 71100: Logic I [64041]
M & W, 6:30pm - 8:00pm, Rm.5417
Prof. R. Kossak
4.5 cr.

MATH 82530: Topology II - Intermediate Alg. Topology [64042]
M, 10:45am - 12:45pm, Rm. 6417
Prof. D. Sullivan
3 cr.

MATH 87400: Topics in Number Theory [64068]
M, 2:00pm - 4:00pm, Rm. 6417
Prof. A. Gamburd
3 cr.

MATH 87000: Topics in Algebraic Number Theory [64069]
Th, 2:00pm - 4:00pm, Rm. 6417
Prof. V. Kolyvagin
3 cr.

MATH 83530: Algebra II: Intro. to Algebraic Geom. and Number Theory [64072]
W, 4:00pm - 6:00pm, Rm. 6417
Prof. L. Szpiro
3 cr.

MATH 83100: Introduction to ergodic theory [64074]
T, 9:30am - 11:30am, Rm. 6417
Prof. E. Pujals
3 cr.

MATH 82800: Geometry and Topology of 3-manifolds [64075]
Th, 2:00pm - 4:00pm, Rm. 5417
Prof. A. Champanerkar
3 cr.

MATH 86600: Differential Algebra and its Applications [64077]
F, 11:45am - 1:45pm, Rm. 5417
Prof. A. Ovchinnikov
3 cr.

MATH 87200: Topics in Geometric Group Theory [64078]
F, 9:30am - 11:30am, Rm. 5417
Prof. O. Kharlampovich
3 cr.

MATH 81600: Probability Theory I [65612]
T, 2:00pm - 4:00pm, Rm. 5417
Prof. J. Hanson
3 cr.

MATH 85600: Functional Analysis [64081]
F, 11:45am - 1:45pm, Rm.6494
Prof. A. Mayeli
3 cr.

                                    [All courses meet at the Graduate Center]
 
MATH 70200: Functions of a Real Variable [38487]
M & W, 9:30am - 11:00am, Rm. 5417
Prof. R. Churchill
4.5 cr.

MATH 70400: Functions of a Complex Variable [38488]
W & F, 12:00pm -  :30pm, Rm. 5417
Prof. S. Zakeri
4.5 cr.

MATH 70600: Algebra I [38489]
T & Th, 10:00am - 11:30am, Rm. 5417
Prof. K. Bou-Rabee
4.5 cr.

MATH 70800: Topology I [38490]
T & Th, 12:00pm - 1:30pm, Rm. 5417
Prof. I. Kofman
4.5 cr.

MATH 71200: Logic I [38491]
T & Th, 4:30pm - 6:00pm, Rm. 5417
Prof. G. Fuchs
4.5 cr.

MATH 71000: Differential Geometry I [38492]
M & W, 2:00pm - 3:30pm, Rm. 3212
Prof. M. Lucia
4.5 cr.   
                                                          
MATH 82600: Topology II - Intermediate Alg. Topology [38493]
M, 10:45am - 12:45pm, Rm. 6417
Prof. D. Sullivan
3 cr.

MATH 83200: Topics in Dynamics [38499]
T, 9:30am - 11:30am, Rm. 6417
Prof. E. Pujals
3 cr.

MATH 87000: Topics in Algebraic Number Theory [38495]
Th, 2:00pm - 4:00pm, Rm. 5417
Prof. V. Kolyvagin   
3 cr.

MATH 83530: Algebra II: Intro. to Alg. Geom. & Number Theory [38496]
W, 4:00pm - 6:00pm, Rm. 6417
Prof. L. Szpiro
3 cr.

MATH 87800: Topics in Number Theory [38494]
M, 2:00pm - 4:00pm, Rm. 5417
Prof. A. Gamburd
3 cr.

MATH 81400:  Dynamics on Moduli Space [38497]
F, 9:30am - 11:30am, Rm. 5417
Prof. W. Hooper
3 cr.

MATH 85600: Introduction to Partial Differential Equation [38498] 
Th, 11:45am - 1:45pm, Rm. 6417
Prof. Z. Huang
3 cr.

Syllabi and Exams

Course Notes