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

### About the table below

**Beginning the spring semester**at the bottom of this page. There is a compact version at the bottom of this page. More detailed course descriptions will also be available soon.

**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. The "period" refers to the Rutgers 80-minute
period. Period 1 begins at 8:10. There are 20 minutes between periods.

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

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

640:502 | 42079 |
Theor Func Real Vars |
R. Nussbaum | HLL 425 TTh 6; 4:30-5:50 |

640:504 | 47723 |
Theor Func Comp Vars |
X. Huang | HLL 425 MTh 3; 11:30-1:10 |

640:508 | 53344 | Functional Analysis II |
A. Soffer | HLL 423 TTh 4; 1:10-2:30 |

640:510 | 54569 | Sel Topics in Analysis
Nonlinear PDE's |
YY. Li | HLL 423 TF 2; 9:50-11:10 |

640:511 | 54762 | Sel Topics in Analysis
Contact Form Geometry |
A. Bahri | HLL 124 TTh 2; 9:50-11:10 |

640:518 | 50761 | Partial Diff Equations |
R. Wheeden | HLL 423 MW 4; 1:10-2:30 |

640:519 | 53346 | Sel Topics Diff Equations
Heat Equations |
Z. Han | HLL 425 MW 2; 9:50-11:10 |

640:534 | 50429 | Sel Topics in Geometry
Curvature & Symmetry |
X. Rong | HLL 423 MTh 2; 9:50-11:10 |

640:541 | 53348 | Intro Alg Topology II |
P. Landweber | HLL 525 T3 (11:30-12:50) and Th5 (2:50-4:10) |

640:547 | 51285 | Topology of Manifolds
Symplectic Geometry |
C. Woodward | HLL 525 MTh 3; 11:30-12:50 |

640:548 | 54802 |
Intro Geometry & TopologyNEW!! |
S. Ferry | HLL 124 TTh 4; 1:10-2:30 |

640:549 | 51286 | Lie Groups |
R. Goodman | HLL 425 MW 5; 2:50-4:10 |

640:552 | 42078 | Abstract Algebra |
R. Wilson | HLL 425 TF 2; 9:50-11:10 |

640:555 | 49630 | Topics in Algebra
Combinatorial Commutative Algebra |
D. Maclagan | HLL 525 MW 5; 2:50-4:10 |

640:556 | 52208 | Representation Theory
Invariant Theory |
F. Knop | HLL 525 TTh 6; 4:30-5:50 |

640:558 | 53349 | Theory of Algebras
Hopf Algebras |
E. Taft | CANCELLED Now a Reading Course |

640:566 | 53350 | Axiomatic Set Theory |
S. Thomas | Freyl B-3 (CAC) TTh 6; 4:30-5:50 |

640:574 | 51288 | Topics Number Theory
Modular Forms and Modular Curves |
J. Tunnell | HLL 525 MW 4; 1:10-2:30 |

642:528 | 52207 | Methods of Appl Math |
T. Butler | HLL 124 TTh 6; 4:30-5:50 |

642:583 | 50432 | Combinatorics |
J. Kahn | HLL 525 MF 2; 9:50-11:10 |

642:587 | 50759 | Sel Topics Discrete Math
Algorithmic Discrete Math |
D. Zeilberger |
M3 in ARC PC IML Room 116 TH 3 in HLL 423 (11:30-12:50) |

642:622 | 53359 | Financial Math |
T. Petrie | HLL 423 MW 5; 2:50-4:10 |

642:662 | 53361 | Topics Math Physics
Relativistic Fields |
M. Kiessling | HLL 425 MW 5; 2:50-4:10 |

## Beginning the spring semester

- The first class day of the spring 2005 semester is Tuesday, January 18, 2005.
- Written qualifying exams will be given during the week before the semester begins, Wednesday and Thursday morning (January 12 and 13, 2005).

^{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 sometimes 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. Back to the top of this page.