Program: Interactions Between Ergodic Theory,
Number Theory and Noncommutative Geometry
Department of Mathematics • The Ohio State University
100 Math Tower • 231 West 18th Avenue • Columbus, OH 43210-1174
Phone: (614) 292-4975 • Fax: (614) 292-1479

Organized by: Vitaly Bergelson, James Cogdell, Avner Friedman, Roman Holowinsky, Wenzhi Luo, Henri Moscovici and Nimish Shah.

The Department of Mathematics at the Ohio State University, in conjunction with the Mathematics Research Institute, will be running a program during the 2011-2012 academic year entitled Interactions Between Ergodic Theory, Number Theory and Noncommutative Geometry.

Collaborative work among the fields of Ergodic Theory and Number Theory, with applications to quantum chaos in particular, has recently led to new and exciting results.
At the same time, surprising links with Noncommutative Geometry have been established via an interesting connection between the operator algebra formalism of quantum statistical mechanics and arithmetic.

We hope to raise awareness and increase collaboration between researchers in all of these fields through a series of workshops to be held during this special program. Some financial support will be available for young researchers and graduate students thanks to funding from the Mathematics Research Institute, the National Science Foundation and The Ohio State University.

Workshops and Conferences - click here to view the next workshop

Dynamics on Homogeneous Spaces and Number Theory

September 12-16, 2011

Talk Titles/Abstracts
  • Tim Austin (Brown) - Equidistribution of joinings under off-diagonal polynomial flows. (abstract)
  • Don Blasius (UCLA) - Recent progress concerning existence of automorphic forms of prescribed type. (abstract)
  • S.G. Dani (TIFR) - Complex continued fractions and
    values of binary quadratic forms on Gaussian integers. (abstract)
  • Manfred Einsiedler (ETH) - Measure rigidity for torus actions. (abstract)
  • Alex Gamburd (UCSC/CUNY) - Generalization of Selberg's 3/16 Theorem and Affine Sieve. (abstract)
  • Alex Gorodnik (Bristol) - Large sieve for arithmetic groups. (abstract)
  • Patrick Ingram (Colorado) - Post-critically finite maps. (abstract)
  • Dmitry Jakobson (McGill) - L^p norms and limits of eigenfunctions on arithmetic flat tori. (abstract)
  • Florent Jouve (Orsay) - Probabilistic Galois theory on arithmetic groups. (abstract)
  • Dubi Kelmer (Boston) - On the spectrum and length spectrum of hyperbolic manifolds. (abstract)
  • Alex Kontorovich (Yale) - On Zaremba's Conjecture. (abstract)
  • Pär Kurlberg (KTH) - Nodal length statistics for arithmetic random waves. (abstract)
  • Philippe Michel (EPFL) - Hybrid bounds for Rankin-Selberg L-functions. (abstract)
  • Amir Mohammadi (Chicago) - Orbit closure in the absence of polynomial divergence. (abstract)
  • Shahar Mozes (HUJI) - Invariant measures and divisibility. (abstract)
  • Paul Nelson (EPFL) - Some twisted variants of QUE. (abstract)
  • Barak Weiss (BGU) - Parking Garages with optimal dynamics. (abstract)
  • Tamar Ziegler (Technion) - Linear equation in primes and dynamics on nilmanifolds. (abstract)
Schedule of special events:
  1. Monday September 12: Registration 8:45 - 9:30 am, Outside Cockins Hall 240
  2. Monday September 12: Reception 5:00 - 7:30 pm, Math Tower - 7th Floor Lounge.
  3. Wednesday September 14: Problem Session 4:45 - 5:45 pm, CH 240
  4. Wednesday September 14: Cash Bar 6:00 pm, Banquet 6:30 - 8:30 pm, Faculty Club
Conference poster available for download:

Please send any questions related to the conference to Roman Holowinsky via e-mail.
Conference Schedule (held in CH240 accessible through the Math Tower)

Monday Tuesday Wednesday Thursday Friday
8:45 am - 9:30 am Registration CH 240 Coffee Coffee Coffee Coffee
9:30 am - 10:30 am Manfred Einsiedler Philippe Michel S.G. Dani Barak Weiss Alex Gamburd
10:30 am - 11:00 am Coffee Coffee Coffee Coffee Coffee
11:00 am - 12:00 pm Florent Jouve Don Blasius Alex Kontorovich Alex Gorodnik Pär Kurlberg
12:00 pm - 2:00 pm Lunch in 7th floor lounge Lunch in 7th floor lounge Lunch in 7th floor lounge Lunch in 7th floor lounge Lunch in 7th floor lounge
2:00 pm - 3:00 pm Tamar Ziegler Tim Austin Patrick Ingram Dmitry Jakobson
3:00 pm - 3:30 pm Coffee Coffee Coffee Coffee
3:30 pm - 4:30 pm Paul Nelson Shahar Mozes Dubi Kelmer Amir Mohammadi
After Hours Reception 5:00 - 7:30 pm
Math Tower 7th Floor

Nearby Events (unaffiliated)

Film: Contested Streets
Nearby Events (unaffiliated)

Happy Hour: Camelot Wine Bar

Concert: Two Door Cinema Club

Concert: Katy Perry

Concert: Kyle Andrews

Concert: Dropkick Murphys

Exhibit: Diana Thater: Peonies

Exhibit: J Yanok & L Gregg
Problem Session 4:45 - 5:45 pm

Cash Bar 6:00 pm Faculty Club

Banquet 6:30 pm Faculty Club

Nearby Events (unaffiliated)

Drinks: The Meadery

TV on the Big Screen

Soccer: Crew vs. Dynamo

Concert: Youth Lagoon
Nearby Events (unaffiliated)

Classics: World on a Wire

Film: Out Takes

Taco Truck Tour

Farmers Market

Happy Hour: Camelot Wine Bar

Exhibit: Diana Thater: Peonies

Exhibit: J Yanok & L Gregg
Nearby Events (unaffiliated)

Outdoor Movie: The Goonies

Microbrew Festival

Drinks: The Meadery

Dancing: La Fogata Grill

Exhibit: Diana Thater: Peonies

River: Waterfire

Music and Tea

Concert: Cornmeal

Information for visitors


Lodging for speakers has been arranged for the nights of of their stay at the Blackwell hotel, The Blackwell is located on campus and is about a 5-10 minute walk from the OSU Math Department. To get to the math department from the Blackwell, turn left upon exiting the hotel onto Tuttle Park Pl, turn left again at the light onto Woody Hayes Dr/ W Woodruff Ave, turn right onto Neil Ave and then turn left onto W 18th Ave. The Math Tower will be on your right.

The Blackwell

The Math Tower

Lodging for all other approved participants will be arranged with University Plaza, The University Plaza offers a complimentary breakfast buffet and complimentary shuttle service to and from campus.

From Blackwell to Math Tower


Those staying at the Blackwell may choose to arrange an airport shuttle pickup with the hotel. However, the hotel airport shuttle only runs every 90 minutes. Otherwise, taxi service is available from the airport to the Blackwell and University Plaza as well as all other destinations in the Columbus area. The taxi line up is located just out front of the airport on the same level as the baggage claim and the fare to Columbus will be approximately $25-$30. The trip to the Blackwell hotel should take approximately 15 minutes.

To arrange transportation back to the airport from the hotel, please speak with the front desk at your hotel. If you are leaving directly from the conference, we will be happy to help arrange a taxi for you from the university to the airport.

If one wishes to explore Columbus by car, a convenient hourly "car sharing" option is provided for members by Hertz On Demand, The Hertz vehicles are parked all around campus and the nearest vehicles are no more than a 5-10 minute walk from the conference location and the Blackwell. There are also several car rental companies scattered throughout Columbus and of course at the airport.

Public transportation is also available for those wishing to explore some of the city. The number 2 cota buses run up and down High st. and pass the conference location roughly every 10 minutes. It is a 10 minute ride south to the "Short North" area which contains some of the best dining, shopping and attractions which Columbus has to offer. See Google maps for directions and to see the arrival time of the next 3 available buses.

From airport to Blackwell

Seeing Columbus

There are several areas of Columbus worth visiting if one has the time. For a list of events happening around Columbus, visit

Short North -
One of the closest and most popular areas is the Short North.

Arena District -
Just south of the Short North one will find the Arena District, home to the North Market,, the Greater Columbus Convention Center,, and most of the major sports venues.