
SCIENTIFIC PROGRAMS AND ACTIVITIES 

March 4, 2024  
Canadian
Number Theory Association VIII Meeting

SCHEDULEAll the plenary talks will be held in the Earth
Sciences auditorium (room 1050)  enter off 5 Bancroft.
(Map)


Sunday, June 20, 2004  
8:00  8:50  Registration (with Coffee and Refreshments)  
8:50  9:00  Welcome and opening remarks  
9:00  9:45  Plenary lecture  ES1050 Wolfgang Schmidt (Colorado) Diophantine approximation by algebraic hypersurfaces 

9:50  10:20  Coffee Break  
Special session lectures (concurrent)  Diophantine Analysis Session
 top Chair: Cam Stewart 

Arithmetic Geometry Session  bottom 

10:20  10:45  Gael Remond (Grenoble)  ES1050 Beyond rational points 

Jordan Ellenberg (Princeton) 
KP108 Counting number fields of bounded discriminant 

10:50  11:05  Coffee Break  
11:05  11:30  Jeff Thunder (Northern Illinois)
 ES1050 Siegel's Lemma and Hermite's Constant for Function Fields 

David Savitt (McGill)  KP108 A conjecture of Conrad, Diamond, and Taylor 

11:35  11:50  Coffee Break  
11:50  12:15  Gary Walsh (Ottawa)  ES1050 Diophantine applications of Bennett's abc theorem 

Imin Chen (SFU)  KP108 Diophantine equations associated to modular curves of small level 

12:20  2:00  Break for lunch  
2:00  2:45  Plenary lecture  ES1050 Henryk Iwaniec (Rutgers) Asymptotic Large Sieve 

2:50  3:05  Break  
3:05  3:30  JanHendrik Evertse (Universiteit Leiden) 
ES1050 Linear equations with unknowns from a multiplicative group of finite rank whose solutions lie in a few subspaces 

TBA  
3:35  4:05  Afternoon Tea Break  
4:05  6:00 
Contributed talks (click link for schedule) 

6:15  8:00  Reception at The Fields Institute  
Monday, June 21, 2004  
8:15  9:00  Coffee and Refreshments  
9:00  9:45  Plenary lecture  ES1050 D.R. HeathBrown (Oxford) Counting Rational Points on Algebraic Varieties 

9:50  10:20  Coffee Break  
Special session lectures (concurrent)  Arithmetic Geometry Session  top Chair: Ravi Ramakrishna 

Analytic Number Theory Session  bottom 

10:20  10:45  Armand Brumer (Fordham)  KP108 Semistable abelian varieties of prime power conductor 

Hugh Montgomery (Michigan)  BA1160 A multiplicative miscellany 

10:50  11:05  Coffee Break  
11:05  11:30  Tom Weston (Amherst College) 
KP108 Selmer groups of Galois deformations 

K. Soundararajan (Michigan)  BA1160 Extreme values of Lfunctions at the central point 

11:35  11:50  Coffee Break  
11:50  12:15  Laurent Berger (Harvard)  KP108 On the reduction modulo p of crystalline representations 

Ram Murty (Queen's)  BA1160 Sieve Methods in Combinatorics 

12:20  2:00  Break for lunch  
2:00  2:45  Plenary lecture  ES1050 HansPeter Schlickewei (Marburg) Applications of the Subspace Theorem 

2:50  3:05  Break  
3:05  3:30  Kiran Kedlaya (MIT)  KP108 Solving padic differential equations on twodimensional bases 

Dan Goldston (San Jose State)  ES1050 Small Gaps Between Primes 

3:35  4:05  Afternoon Tea Break  
4:05  6:00 
Contributed talks (click link for schedule) 

Tuesday, June 22, 2004  
8:15  9:00  Coffee and Refreshments  
9:00  9:45  Plenary lecture  ES1050 Yuri V. Nesterenko (Moscow) Thetafunctions and transcendence 

9:50  10:20  Coffee Break  
Special session lectures (concurrent)  Algebraic Number Theory Session top Chair: Al Weiss 

Diophantine Analysis Session bottom 

10:20  10:45  Cornelius Greither (Munich)  KP108 A conjecture concerning minus parts in the spirit of Gross 

Damien Roy (Ottawa)  ES1050 On a class of numbers 

10:50  11:05  Coffee Break  
11:05  11:30  Jonathan Sands (Vermont)  KP108 Popescu's Conjecture and MultiQuadratic Extensions of Number Fields 

Kalman Gyory (Debrecen)  ES1050 Polynomials and binary forms with given discriminant 

11:35  11:50  Coffee Break  
11:50  12:15  Jurgen Ritter (Augsburg)  KP108 Toward equivariant Iwasawa theory 

Yann Bugeaud (Louis Pasteur, Strasbourg)
 ES1050 Fibonacci powers are 1, 8, and 144, only 

12:20  2:00  Break for lunch  
2:00  2:45  Plenary lecture  ES1050 René Schoof (Rome) Abelian varieties over Q with good reduction outside 11 and and semistable reduction at 11. 

2:50  3:05  Break  
3:05  3:30  George Pappas (Michigan State)
 KP108 The Steinitz class of weight 2 cusp forms 

Umberto Zannier (Udine)  ES1050 On the continued fractions for the powers of a given number 

3:35  4:05  Afternoon Tea Break  
4:05  6:00 
Contributed talks (click link for schedule) 

6:15  7:15  Public Lecture  to be held at Adel Sedra Auditorium,
Bahen Centre for Information Technology (map)
BA1160 Hendrik Lenstra (Leiden) Escher and the Droste Effect 

Wednesday, June 23, 2004  
8:15  9:00  Coffee and Refreshments  
9:00  9:45  Plenary lecture  ES1050 Matthias Flach(Caltech) A geometric example of nonabelian Iwasawa theory 

9:50  10:20  Coffee Break  
10:20  11:05 
Plenary Lecture  ES1050 Vinayak Vatsal (UBC) Mazur's conjecture over totally real fields 

11:10  11:25  Coffee Break  
11:25  11:30  Paulo Ribenboim (Queen's)  ES1050 Ribenboim Prize Introduction 

11:30  12:20  Ribenboim Prize Lecture  ES1050 Mike Bennett (UBC) Diophantine equations after Wiles 

12:20  Lunch, free afternoon  
Thursday, June 24, 2004  
8:15  9:00  Coffee and Refreshments  
9:00  9:45  Plenary lecture  ES1050 Ralph Greenberg (Washington) pAdic Artin Lfunctions 

9:50  10:20  Coffee Break  
Special session lectures (concurrent)  Analytic Number Theory Session  top Chair: John Friedlander 

Computational Number Theory Session  bottom 

10:20  10:45  Kevin Ford (UIUC)  WI1016 The distribution of integers with a divisor in a given interval 

Daniel Bernstein (UIC)  KP108 Doubly focused enumeration in two dimensions 

10:50  11:05  Coffee Break  
11:05  11:30  Trevor Wooley (Michigan)  WI1016 TBA 

Andrew Bremner (Arizona State)
 KP108 On squares in Lucas sequences 

11:35  11:50  Coffee Break  
11:50  12:15  Greg Martin (UBC)  WI1016 Inequities in the ShanksRenyi Prime Number Race 

Nils Bruin (SFU)  KP108 Bounding MordellWeil ranks using Visualisation 

12:20  2:00  Break for lunch  
2:00  2:45  Plenary lecture  ES1050 Enrico Bombieri (IAS) Zeros of Epstein zeta functions off the critical line. A survey. 

2:50  3:05  Break  
3:05  3:30  Carl Pomerance (Dartmouth)  ES1050 Error estimates for the DavenportHeilbronn theorems 

David Boyd (UBC)  KP108 Computing Apolynomials using Puiseux expansions 

3:35  3:55  Afternoon Tea Break  
3:55  5:00  Contributed talks (click link for schedule)  
5:10  5:55 
Plenary Lecture  ES1050 

6:15  7:30  Reception at the Fields Institute  
Friday, June 25, 2004  
8:15  9:00  Coffee and Refreshments  
9:00  9:45  Plenary lecture  ES1050 Andrew Granville (Montreal) Large character sums: How big and where? 

9:50  10:20  Coffee Break  
Special session lectures (concurrent)  Algebraic Number Theory Session 
top Chair: Al Weiss 

Computational Number Theory Session  bottom 

10:20  10:45  B. Conrad (Michigan)
 ES1050 Root numbers and ranks over global function fields 

Karl Dilcher (Dalhousie)
 KP108 Parametric solutions of the Diophantine equation $x^3 + D*y^3 = 1$ 

10:50  11:05  Coffee Break  
11:05  11:30  Hershy Kisilevsky (Concordia) 
ES1050 Dirichlet Twists of Elliptic LFunctions 

Bjorn Poonen (Berkeley)  KP108 x^2 + y^3 = z^7 

11:35  11:50  Coffee Break  
11:50  12:15  C. Popescu (UCSD)
 ES1050 1Motives, Tate Sequences and Lfunctions 

Renate Scheidler (Calgary)
 KP108 Construction of Hyperelliptic Function Fields of High Three Rank 

12:20  2:00  Break for lunch  
2:00  2:45  Plenary lecture  ES1050 Hendrik Lenstra (Leiden) New algorithms for finite fields 

2:50  3:05  Break  
3:05  3:30  Kumar Murty (Toronto)  ES1050 Bounded generation of SL(n) 

Edlyn Teske (Waterloo)  KP108 Point counting on Picard curves in large characteristic 

3:35  4:05  Afternoon Tea Break 