Millennial Conference on Number Theory
May 21 - 26, 2000
University of Illinois at Urbana-Champaign
Abstracts of talks
Information for Speakers
Travel by air to Champaign
The Champaign airport, officially known as Willard Airport,
is owned and operated by the University of Illinois.
The airport is small, but modern, and
all services are located in the same general area. In contrast
to Chicago's O'Hare aiport, it takes only a few steps
to get from the ticket counter to the gate, or from the gate to the
baggage claim, and it is virtually impossible to get lost.
Flight schedules can be found under this link.
The airlines serving Champaign are American Airlines (from Chicago), TWA
(from St Louis), and Northwest Airlines (from Detroit).
Note about US Airways:
US Airways used to have flights between Pittsburgh and Champaign,
but stopped this service about a month ago, and is no longer
servicing Champaign. If you have booked a
flight on US Airways, please check with
your travel agent or the airline that made the reservation;
they will likely rebook your flight onto other airlines at no
Transportation from the Champaign airport to
Champaign-Urbana. The airport is located in Savoy, about 8
miles from the University of Illinois campus and the center
The Quality Hotel has a free shuttle service between the airport and the
hotel; to request a shuttle, call the hotel at 1-800-322-8282 or
384-2100 when you arrive at the airport.
For those staying at the Busey-Evans residence halls, we will provide
transportation. We expect to be able to meet most flights on
Saturday, and possibly some flights on Friday. Our drivers will be
graduate students (mostly in number theory) and will be easily
identifyable by T-Shirts and signs.
If you miss our vans, or
arrive at an earlier or later date, we suggest that you use the
A-1 Airport Transportation service, which
operates a door-to-door van service between the airport and any address
in Champaign-Urbana. The company has a stand near the baggage area
of the airport and usually has at least one van waiting
for every incoming flight. The cost is approximately $10.
(It is also possible to call a taxi from the airport, but since
taxis are not allowed to wait at the airport, it may take 10 - 15
minutes for a taxi to arrive.) Of course, if are staying at the
Quality Hotel, you can use the free hotel shuttle.
Travel by air to Chicago
If you are flying to the Chicago O'Hare airport, the most convenient
option is to rent a car at the airport and drive to Champaign; the trip
takes between 2 1/2 and 3 hours.
Maps and driving directions from the O'Hare airport to the
University of Illinois campus can be found at this link.
For public transportation between O'Hare airport and
Champaign there are several options. The most convenient, but also
most expensive of these is the Bluebird Charter, which operates
directly between O'Hare and Champaign.
Traveling by train or Greyhound bus
is less convenient and more time consuming, as the train and bus
stations are located in downtown Chicago, some 25 miles from the
airport. However, if you are
planning to spend a day or two in Chicago before the conference,
taking the train to Champaign may be a good option.
For more information about the O'Hare airport, terminal maps,
flight information and information on ground transportation, visit the
O'Hare Airport web
- Bluebird Charter: This is a bus line with direct service
between O'Hare airport and Champaign. Buses leave at the International
Terminal (Terminal 5)
at O'Hare at 8:45 am, 11:45 am, 5:45 pm, and 9:45 pm, and at
the Domestic Terminal 15 minutes later. The trip takes about 3 hours
and is $35 one way. Reservations are required and must be made
at least one day in advance by calling
1-800-400-5500 (630-961-5500 from
outside the U.S.). Once you are in Champaign, transportation to the
hotel or residence halls is readily available.
- Amtrak Train:
There are two daily trains from Chicago to Champaign, the first leaving
at 4 pm, and the second leaving at 8 pm. The trip takes about 3 hours,
and costs $15 one way. Note that some trains require advance
reservation; for details see the
Amtrak web site.
In order to take the train, you first need to get
from O'Hare airport to downtown Chicago, where the train station is
located. You can do so by subway (see the
Chicago Transit Authority web page
for maps and schedule information) or by taking the
Continental Airport Express,
a scheduled bus line which leaves the airport every 5 - 10 minutes
and stops at downtown hotels and at the train station.
The trip takes about an hour.
Taking a taxi to Chicago is also possible, but
quite expensive as the airport is located
about 25 miles from downtown Chicago.
For transportation from the Champaign train station to the hotel or
residence halls see below, under "Travel by bus or train"
- Greyhound Bus:
Greyhound operates a bus line between Chicago and Champaign.
Buses leave from a terminal in downtown Chicago; see above for information on
transportation between O'Hare Airport and downtown Chicago.
For fare and schedule information click on the above link.
The Champaign bus station is located next to the train station; for
transportation information see below
Travel by bus or train
The Amtrak train station and the Greyhound bus station in Champaign
are located next
to each other, about 1 mile from the University campus.
Transportation by taxi is readily available and inexpensive.
We may be able to meet some trains or buses,
but you should be prepared to take a
taxi to the hotel or residence hall.
Travel by car
- Quick directions to the Quality Hotel:
From I-74, take the Lincoln Avenue exit in Urbana, go south
on Lincoln for about 1.5 miles to the light on Green Street,
turn right (west) onto Green Street, go about one mile west on
Green Street, crossing Goodwin, Wright, 6th, 5th, and 4th Streets,
turn left (south) on 3rd Street. The Quality Hotel is a high rise
building half a block to your left. If you are staying at the hotel,
you can park your car in the hotel`s parking garage.
From I-72 and I-57, follow the directions to I-74 east, and then
continue as above.
- Quick directions to Busey-Evans Residence Halls:
From I-74, take the Lincoln Avenue exit in Urbana, go south
on Lincoln for slightly more than 1.5 miles, about 1/4 mile past the
Green Street intersection (see above), to the stop sign at the intersection with
Nevada. Then turn right (west) and proceed two blocks. Busey-Evans
will be on the left hand side (south). Use on street metered parking
to check in and request a parking permit ($2 per day, $9 per week);
the parking lot is located one block north of Busey Evans, but a permit
is required before you can leave the car there.
- Parking information:
Those staying at the Quality Hotel
can park their cars at the parking garage of the hotel.
The hotel is located a short walk from the conference site.
Those staying at Busey-Evans Halls can park, with a permit, at a
designated University lot, located located one block
north of Busey-Evans.
information at the University of Illinois is available under this
Directions to the Quality Hotel from the Choice Hotel web site
Detailed driving directions and maps from the UIUC web site
- General driving directions and
interactive maps from Mapblast
which is listed on the National Register of Historic
Places, now houses the Mathematics Department and the Mathematics
Library. Altgeld Hall is the site of the famous
concerts are played on weekdays when the University is in
session. Altgeld Hall will serve as the primary conference site;
registration, book exhibits, copying and computer facilities (for email
and telnet access) will be in Altgeld Hall. The plenary talks will
be given in
Room 314 Altgeld,
a large banked auditorium equipped with excellent multimedia facilities.
A smaller room,
Room 245 Altgeld,
will be used for the two satellite conferences, the
Workshop on the Interface of Probability and Number Theory, May 29/20,
Transcendence and Diophantine Problem Workshop, May 27/28.
This building, located across from Altgeld Hall
at the north side of Green Street, is home of the Electrical and
Computer Engineering Department.
Lecture rooms in Everitt Hall will be used afternoons
for parallel sessions of invited and contributed talks.
Note to speakers: Although all rooms will have blackboard
the size of the expected audience makes the use of blackboards
impractical, and all speakers are urged to prepare transparencies for
their talks. All lecture
rooms are equipped with an overhead projector, and we will try to
provide a second projector for each room.
Levis Faculty Center:
Located a short distance east of Altgeld Hall, the Levis Faculty Center
will be the site of the Reception on Saturday evening and the musical
and theatrical performances on Monday evening.
Located next to Altgeld Hall on Green Street, the Illini Union is
the most prominent building on the campus, and
serves as the focal point of the University with
dining areas, meeting rooms, study space, guest rooms, and
various University offices. The conference banquet on Thursday evening
will be held in the ballroom on the second floor of the Illini Union.
Busey-Evans Residence Halls:
The Busey-Evans Residence Halls are two adjacent buildings which
serve as dormitories for women while the University is in session and
are used for conference housing during
semester breaks. They are located near the south-east side
of campus, about a 5 minute walk from Altgeld Hall,
diagonally across the "Quad".
The Quality Hotel (formerly the University Inn) is a high rise
building, located 4 blocks west of Altgeld Hall, at the corner
of John and Third Streets.
Aside from the banquet on Thursday and the Reception on Saturday,
no formal meal functions are planned.
There are many eating establishments, ranging from espresso bars,
bakeries, ethnic and chain fast food restaurants, to full service
restaurants, within a few blocks of Altgeld Hall; a list and map of
restaurants will be included in the registration packet.
Since the University will not be in session during the conference
period, the crowds will be small.
The average day time temperatures in late May are in the mid
80s (Fahrenheit), with night time temperatures in the high 50s or low 60s.
It is usually comfortably warm, but not oppressively hot and humid
as it would be in the summer.
Rainfall is possible, but will normally be in
the form of a passing shower or thunderstorm; extended rainy periods
are rare. The Quality Hotel and the Busey-Evans residence halls are
air-conditioned, as are the buildings in which the lectures will be
given; we will try to keep the temperature in the lecture rooms
at a comfortable level.
Current Champaign weather conditions and forecast
Information for Speakers
- Conference Program: A preliminary
is now available, as is an alphabetical
index of all speakers, along with the
dates and times of their talks.
We have tried to avoid conflicts as much as possible and we hope
we have accommodated all specific scheduling requests. In case we have
overlooked something, please let us know.
While the lecture rooms will have blackboard facilities,
we strongly encourage speakers to prepare transparencies.
This is especially important for plenary talks which will be given in a
large auditorium where using a blackboard would not be very practical.
All lecture rooms will have at least one overhead projector, and the
larger rooms, including the room (314 Altgeld Hall) used
for plenary talks, will have two projectors.
For those who have not prepared transparencies in advance, a limited
supply of blank transparencies and pens will be available at the
When preparing transparencies for a talk, we recommend following
Guidelines of the American Mathematical Society for presenters at
- Submitting a paper for the conference proceedings:
The Conference Proceedings will be published by A K Peters in a
projected set of two volumes totaling approximately 1000 pages.
All speakers are invited to submit a paper for these proceedings.
Papers submitted for the proceedings
should normally be based on the talk given at the conference,
though in exceptional cases we may consider other papers.
In addition to original research papers, we welcome well-written
survey papers. Because of restrictions on the size of the volume,
shorter papers are preferred, and we may not be able to consider
excessively long papers.
(Plenary speakers do not fall under this restriction.)
Research papers will be refereed using the standards of journals such as
the Journal of Number Theory, Acta Arithmetica, the Journal de Theorie
des Nombres de Bordeaux, and The Ramanujan Journal. We will make every
effort to ensure timely refereeing, and we thank in advance the
referees (many of whom will be selected from among the conference
participants) for their work.
If possible, papers should be prepared in LaTeX, with
a font size of 10 points (the default), and textheight and textwidth
set to 42pc and 27pc, respectively.
Papers can be submitted either electronically or as a hard copy.
For hard copy submission, send two copies of the paper to the
member of the Organizing Committee (B.C. Berndt, N. Boston, H.G.
Diamond, A.J. Hildebrand, and W. Philipp, all at the Univ. of Illinois,
Dept. of Mathematics, Urbana, IL 61801) most appropriate for the paper.
For electronic submission, send your tex file(s) to
email@example.com, along with a brief email cover
letter. Papers received electronically will be processed and passed on
to an appropriate editor.
Please do not send submit both an electronic file and a hard copy.
The deadline for submission of manuscripts is September 30, 2000.
- Library: The
at the University of Illinois
is one of the three largest in the country, and has an excellent
collection of journals and books. The library, located in Altgeld Hall,
will be open for extended hours during the conference period. Conference
participants are welcome to use the library during the conference.
- Computer access: A computer lab in Altgeld Hall will be
available to conference participants for the period of the
conference. Participants can use the computers to connect to their home
accounts through telnet or ssh. Some limited printing is also
possible. Graduate students who will be staffing the lab can
provide assistance if needed.
- Copying: Coin operated copying machines are available in the
library. Additional copying may be arranged through the conference
- Book display:
Several major publishers have sent us books to display at the
conference. A room in Altgeld Hall has been reserved for this exhibit.
- Rare book exhibit:
In conjunction with the Special Year in Number Theory, the
Rare Books Library at the University of Illinois is holding
a special exhibit of rare books in number theory.
We offer two options for accommodation, a hotel near the University
campus, and a student dormitory, located on the campus.
Both locations are within a 5 minute walk from the conference site.
Room reservations must be made directly with the hotel or the
University housing service, and not with the conference organizers.
If you have difficulties making reservations yourself, let us know
and we will try to make the reservations for you.
We have reserved a block of rooms at the Quality Hotel -
University Center, 302 E. John St., Champaign.
This hotel, located a few blocks from the
University campus, is a 20 story high rise building with large and
comfortable rooms, many of which offer a great view of the University
campus and the cities of Champaign-Urbana.
The hotel was
formerly known as the University Inn, but is now part of the Quality Inn
The rates for conference participants
are $50 per night for a single room and $62 per night for a
double room, plus 11% tax.
be made directly with the hotel, by calling the hotel at
800-322-8282 (from the U.S., except Illinois),
800-252-1368 (from Illinois), or 217-384-2100. From outside the U.S.,
you should use the last number. You can also fax
your request to the hotel; the hotel's fax number is 217-384-2298.
When making the reservation, please
identify yourself as a participant of the
Number Theory Conference in order to obtain the special
conference rate. The deadline
for reservations is April 20, 2000; after
that date, the rooms will be released and may no longer be available.
- Dormitory accommodation:
We have also reserved rooms at the Busey-Evans
Halls, 1111-1115 W. Nevada, Urbana, two connected buildings on the
University campus, which are used as student dormitories during the
semester and as housing for conference guests during semester breaks.
These residence halls are among the nicest on the UIUC campus and are
fully air-conditioned. Conference guests have a choice of single rooms at
$32.44 per night and double rooms at $21.09 per
night and per person; these rates include tax.
The rooms will have
sheets, blankets, pillows, and towels, and there will be daily exchange
of towel and washcloth. Bathroom facilities are single sex and centrally
located on each floor. Each room has free local phone service, guests
may use a calling card to outgoing toll calls and can receive calls
directly to their room phone. To make reservations, call the Housing -
Conference Services at 217-333-1766, or use the online reservation form
The deadline for making reservations is April 18, 2000.
is available for posting on departmental bulletin boards, office doors, etc.
We would be happy to mail a hard copy to anyone requesting it; to
receive a poster, send
your complete mailing address to firstname.lastname@example.org.
To see a reduced size version of the poster, click
A full size version of the poster (300k) is available
if you have a color printer that can handle large paper sizes,
you may be able to print a copy the poster from this link.
Two workshops are scheduled
for the weekends preceding and following the Millennial Conference.
Funding for the Millennial Conference has been provided by
the Number Theory Foundation; the National Science Foundation; the National
Security Agency; the Institute for Mathematics and Applications; and
the University of Illinois.
The Organizing Committee for the Conference consists of
B.C. Berndt, N. Boston, H. Diamond, A.J. Hildebrand, from the University
of Illinois Mathematics Department, and W. Philipp of the Statistics
Department of the University of Illinois.
If you have any questions, please feel free to contact us, using the
Updates to this information will be posted on this web page
as it becomes available.
Email (preferred): email@example.com
Conference web page:
Department of Mathematics
University of Illinois
1409 West Green St.
Urbana, IL 61801
Last modified Tue May 30 16:30:26 2000