CANT 2012 Program
Tuesday, May 22, 2012
CUNY Graduate Center, Room C198
8:30 - 9:15 a.m.

Registration and coffee in the Math Lounge, 4th floor

9:30 - 10:00 a.m.

Steven J. Miller, Williams College“To infinity and beyond: Gaps between summands
in Zeckendorf decompositions”

10:10 - 10:40 a.m.

Kevin O’Bryant, College of Staten Island (CUNY)“Fractional Parts of Roots”

10:50 - 11:20 a.m.

Sandra Kingan, Brooklyn College (CUNY)“Unlabeled equivalence for matroids representable over finite fields”

11:30 - 12:30 p.m.

Alex Kontorovich, Yale University“From Apollonius to Zaremba: Local-global phenomena in orbits, 1”

12:30 - 2:00 p.m.

Lunch and math movie

2:00 - 2:50 p.m.

Mel Nathanson, Lehman College (CUNY)“The Calkin-Wilf tree and a forest of linear fractional transformations”

3:00 - 3:30 p.m.

Charles Helou, Penn State Brandywine“Representation functions: Generating series, and lower and upper limits”

3:40 - 4:20 p.m.

Renling Jin, College of Charleston“Plünnecke for Densities”

4:30 -5:00 p.m.

Problem session 1, led by Renling Jin

5:00 - 7:00 p.m.

Wine and cheese reception
in the Math Lounge, 4th floor

CANT 2012 Program
Wednesday, May 23, 2012
CUNY Graduate Center, Room 9206
8:30 - 9:15 a.m.

Registration and coffee in the Math Lounge, 4th floor

9:30 - 10:00 a.m.

Mei-Chu Chang, University of California-Riverside“Lattice points in small boxes over finite fields”

10:10 - 10:40 a.m.

Oleg Lazarev, Princeton University“Distribution of missing sums in sumsets”

10:50 - 11:20 a.m.

Ryan Ronan, Cooper Union“The distribution of generalized Ramanujan primes”

11:30 - 12:30 p.m.

Alex Kontorovich, Yale University“From Apollonius to Zaremba: Local-global phenomena in orbits, 2”

12:30 - 2:00 p.m.

Lunch and math movie

2:00 - 2:50 p.m.

Alex Iosevich, University of Rochester”A hands-on tutorial on obtaining incidence results in geometriccombinatorics by linear and multi-linear analytic methods, 1”

3:00 - 3:30 p.m.

Xian-Jin Li, Brigham Young University“On the Hilbert inequality”

3:40 - 4:10 p.m.

Steven Senger, University of Delaware“Combinatorial estimates of the size of an image set”

4:20 - 4:50 p.m.

Nathan Kaplan, Harvard University“Numerical semigroups and hook sets of partitions”

5:00 -5:30 p.m.

Problem session 2, led by Steve Miller

6:30 - 8:30 p.m.

Conference dinner at IchiUmi:
Japanese Sushi and Seafood Buffet
6 East 32nd Street.

CANT 2012 Program
Thursday, May 24, 2012
CUNY Graduate Center, Room 9206
8:30 - 9:15 a.m.

Registration and coffee in the Math Lounge, 4th floor

9:30 - 10:00 a.m.

Christopher Hanusa, Queens College (CUNY)“Self-conjugate core partitions: it’s storytime!”

10:10 - 10:40 a.m.

Rishi Nath, York College (CUNY)”The Durfee square and the quotient of a self-conjugate partition”

10:50 - 11:20 a.m.

Geoff Iyer, University of Michigan, and Liyang Zhang, Williams College“Constructing generalized sum-dominant sets”

11:30 - 12:30 p.m.

Alex Kontorovich, Yale University“From Apollonius to Zaremba: Local-global phenomena in orbits, 3”

12:30 - 2:00 p.m.

Lunch and math movie

2:00 - 2:50 p.m.

Alex Iosevich, University of Rochester”A hands-on tutorial on obtaining incidence results in geometriccombinatorics by linear and multi-linear analytic methods, 2”

3:00 - 3:30 p.m.

Jonathan Sondow, New York“A weak Schanuel conjecture implies Gel’fond’s conjecture for power towers”

3:40 - 4:10 p.m.

Urban Larsson, Chalmers University of Technology andUniversity of Gothenburg, Göteborg, Sweden“(1, 2) GDWN splits”

4:20 - 4:50 p.m.

Neil Lyall, University of Georgia“Improvements and extensions of two theorems of Sarközy”

5:00 -5:30 p.m.

Problem session 3, led by Alex Iosevich

CANT 2012 Program
Friday, May 25, 2012
CUNY Graduate Center, Room 4102
8:30 - 9:00 a.m.

Registration and coffee in the Room 4102

9:00 - 9:20 a.m.

Frederic Gilbert, Ecole Polytechnique, Paris“Around the Erdös-Turán conjecture: Bounded
representation functions and vertex cover problems”

9:30 - 10:00 a.m.

Emel Demirel, Bergen County College“Greatest common divisors of polynomial solutions
to the diophantine equation x2 + y 3 = 6912z 2 ”

10:10 - 10:40 a.m.

Wei Zhang, Columbia University“Local character expansion and L-values”

10:50 - 11:20 a.m.

Jerry Hu, University of Houston - Victoria“Pairwise relative primality of positive integers”

11:30 - 12:30 p.m.

Alex Kontorovich, Yale University“From Apollonius to Zaremba: Local-global phenomena in orbits, 4”

12:30 - 2:00 p.m.

Lunch and math movie

2:00 - 2:50 p.m.

Alex Iosevich, University of Rochester”A hands-on tutorial on obtaining incidence results in geometriccombinatorics by linear and multi-linear analytic methods, 3”

3:00 - 3:30 p.m.

Mizan R. Khan, Eastern Connecticut State University“The number of distinct Euclidean distances of points
on a modular hyperbola to the origin”

3:40 - 4:10 p.m.

Kerry Ojakian, St. Joseph’s College, New York“Cops and Robber on the Hypercube”

4:20 - 4:50 p.m.

John Bryk, John Jay College (CUNY)“Counting Roots of Polynomials Modulo Primes”

5:00 -5:30 p.m.

Problem session 4, led by Kevin O’Bryant