# Fall 2005 courses in the Rutgers-New Brunswick Math Graduate Program

## About the table below

Please see **Beginning the fall semester**
at the bottom of this page. There is a compact
version at the bottom of this page.

**Warning:**
All of the entries are intended to still be correct at the start of
the semester. Please inform the graduate office if it needs to be
updated. Experience has shown that schedules, instructors, and topics
will change. The word "Probably" is used here as a periodic reminder
of this fact.

**Course number:**
640 is the prefix for *Pure Mathematics* courses and 642 is the prefix
for *Applied Mathematics* courses. There is no distinction in
degree requirements for Mathematics and Applied Mathematics,
but we still use this numbering differentiation, which dates to the 1960's.

**Index number:**
This five digit number is needed to register for a course in the
Rutgers system.

**Course name:**
This is the official course name which is in the Rutgers system for
the course corresponding to the given course number. There may be
little relationship between this name and the course contents.

**Instructor:** Probably.

**Place:** Probable classroom.
HLL refers to Hill Center.
The Graduate Program and the Math Department control the use of only a
few (four) real classrooms. There are other spaces available which
have sometimes been used for class meetings.

**Days, period; times:** Probably.
Constraints on meeting times include times which should be
left free for faculty meetings, times left free for traditional
seminar meetings, and 8 AM. Most faculty and almost all graduate
students are quite unwilling to admit that 8 AM exists as a time for
intellectual converse. Note: Monday=M, Tuesday=T, Wednesday=W,
Thursday=Th, Friday=F.

**Warning: The "period" refers to the new Rutgers
80-minute period on Busch Campus: Period 1 begins at 8:40.**
There are 20 minutes between periods.
See the Compact Schedule

### You may click on any course number and get a course description.

Course number Descriptions |
Index number |
Course name | Instructor | Place Days, period; times |
---|---|---|---|---|

640:501 | 22152 | Theor Func Real Vari |
T. Balaban | HLL 124 MW 6; 5:00-6:20 |

640:503 | 22153 | Theor Func Comp Vari |
H. Sussmann | HLL 423 TTh 5; 3:20-4:40 |

640:509 | 31402 | Sel Topics in Analysis |
A. Bahri | HLL 525 TTh 5; 3:20-4:40 |

640:510 | 34953 | Sel Topics in Analysis
Surreal Numbers |
M. Kruskal |
T5 (3:20-4:40) in H705 & F2 (10:20-11:40) in H423 |

640:517 | 30675 | Partial Diff Equations |
Z. Han | HLL 425 MW 4; 1:40-3:00 |

640:519 | 29265 | Sel Topics in Diff Equ |
Y. Li | HLL 425 TF 2; 10:20-11:40 |

640:523 | 34954 | Several Complex Vars |
X. Huang | HLL 423 MW 2; 10:20-11:40 |

640:532 | 34955 | Differential Geometry |
X. Rong | HLL 124 TTh 2; 10:20-11:40 |

640:540 | 32703 | Intro Alg Topology |
S. Ferry | HLL 525, T4 (1:40-3:00) & HLL 425, W3 (12-1:20) |

640:547 | 33788 | Topology of Manifolds(Topology and Geometry of 3-Manifolds) |
F. Luo | HLL 525 MTh 3; 12:00-1:20 |

640:551 | 22154 | Abstract Algebra |
D. Maclagan | HLL 525 MW 5; 3:20-4:40 |

640:555 | 31450 | Sel. Topics in Algebra(Vertex Operator Algebras) |
J. Lepowsky | HLL 425 MTh 3; 12:00-1:20 |

640:558 | 34956 | Theory of Algebras
(Hopf Algebras) |
E. Taft | CANCELLED |

640:559 | 33789 | Commutative Algebra |
W. Vasconcelos | HLL 425 M2 (10:20-11:40) & Th 4 (1:40-3) |

640:569 | 33792 | Sel Topics in Logic(Set-theoretic forcing) |
S. Thomas | HLL 525 TTh 6; 5:00-6:20 |

640:573 | 31404 | Spec Top Number Theory |
H. Iwaniec | HLL 124 TF 3; 12:00-1:20 |

642:527 | 22228 | Methods of Appl Math |
D. Ocone | HLL 124 TTh 6; 5:00-6:20 |

642:550 | 22229 | Linear Alg & Applications |
R. Goodman | HLL 423 MW6; 5:00-6:20 |

642:563 | 33798 | Statistical Mechanics(and Cooperative Phenomena) |
J. Lebowitz |
T6 (5:00-6:20) in H705 & Th2 (10:20-11:40) in H423 & F6 (5:00-6:20) in H423 |

642:573 | 33800 | Numerical Analysis |
R. Falk | HLL 425 TTh 6; 5:00-6:20 |

642:582 | 22230 | Combinatorics I |
J. Beck | HLL 525 TF 2; 10:20-11:40 |

642:587 | 28343 |
Sel Topics Discrete Math(TBA) |
R. Radoicic | HLL 425 MW 5; 3:20-4:40 |

642:591 | 31628 | Topics Probability & Ergodic Theory |
J. Kahn | HLL 124 MW 4; 1:40-3:00 |

642:593 | 30676 | Math Fdns Ind Eng |
T. Butler | CANCELLED |

642:621 | 32704 | Financial Math |
D. Ocone | HLL 124 TTh 4; 1:40-3:00 |

642:661 | 25170 | Topics Math Physics(chaotic motions & stochastic processes) |
G. Gallavotti and D. Ruelle |
T2 (10:20-11:40) in HLL 423 & Th3 (10:20-11:40) in HLL 425 |

## Beginning the fall semester

- The first class day of the fall 2005 semester is Thursday, September 1, 2005.
- Written qualifying exams will be given during the week before the semester begins, Tuesday and Wednesday morning (August 30 and 31, 2005).
- There will be a reception for new graduate students on Wednesday afternoon (August 31, 2005) of the week that the semester begins.

^{th}floor. On rare occasions even more food appears. There are

*many*interesting seminars almost every week.

More complete descriptions of courses including information about
texts are usually posted outside the 3^{rd} floor mailroom.
Almost all introductory graduate courses in mathematics are given as a
series of lectures. Most such courses have written homework, and one
or more oral or written examinations. Many basic courses have
assigned texts. More advanced courses depart from these rules. Students
are sometimes asked to lecture, and there are rarely assigned texts.

## The compact schedule

Links here are to further information about each course on the course description page. Note that the times listed here are the new "Busch Campus" class times. Back to the top of this page.