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Full Conference Program (PDF)

Monday, June 20

8:00–9:30 ST Foyer Registration
9:00–9:30 ST 148 Opening remarks
9:30–10:30 ST 148 Lillian Pierce, Hausdorff Center Bonn and Duke University
On p-torsion in class groups of number fields
10:30–11:00 ST Foyer Coffee break
11:00–11:30 ST 140 Jeff Achter, Colorado State University
Descending cohomology geometrially, or, the quest for the phantom
ST 148 Ram Murty, Queens University
Twin primes and the parity problem
11:35–12:05 ST 140 Lassina Dembele, University of Warwick
On the existence of abelian surfaces with everywhere good reduction
ST 148 Tristan Freiberg, University of Waterloo
Sums of two squares in tuples
12:05-13:45 Lunch break
13:45–14:45 ST 148 Nils Bruin, Simon Fraser University
Computation of obstructions to rational points on curves
14:45–15:15 ST Foyer Coffee break and registration
15:15–15:45 ST 140 Anne-Marie Aubert, Institut de Mathematiques de Jussieu
A decomposition of the set of enhanced Langlands parameters for a p-adic reductive group
ST 148 Cameron Stewart, University of Waterloo
On the representation of integers by binary forms
15:45–16:00 Break
16:00–16:15 ST 128 Robert Harron, University of Hawai’i Manoa
Equidistribution of shapes of cubic fields of fixed quadratic resolvent
ST 135 Sumit Giri, CRM Montreal
Average distribution of a prime counting function for a large family of elliptic curves
ST 143 Alan Filipin, University of Zagreb
On the existence of Diophantine quintuples
ST 145 Paula Chaves, Universidade Federal de Goias
On the sum of powers of terms of a linear recurrence sequence
16:20–16:35 ST 128 Chad Davis, University of British Columbia Okanagan
The index of a quartic field defined by a trinomial X4+aX+ b
ST 135 James Parks, KTH, Royal Institute of Technology
On the Lang-Trotter conjecture for two elliptic curves
ST 143 Kevser Aktas, Gazi University
Existence of Diophantine m-tuples in Gaussian primes
ST 145 J C Saunders, University of Waterloo
Random Fibonacci Sequences
16:40–16:55 ST 128 Piper Harron, The Liberated Mathematician
The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields
ST 135 Amir Akbary, University of Lethbridge
Some results on elliptic nets
ST 143 Eva Goedhardt, Smith College
Solving the Family of Diophantine Equations X2N+ 4Y2=Z5
ST 145 Goldwyn Millar, Carleton University
Character values of the Sidelnikov-Lempel-Cohn-Eastman sequences
16:55–17:10 Break
17:10–17:25 ST 128 Andrew Shallue, Illinois Wesleyan University
New ideas for tabulating Baille-PSW pseudoprimes
ST 135 Andreas Weingartner, Southern Utah University
A sieve problem and its application
ST 143 Natalia Garcia-Fritz, University of Toronto
Curves of low genus and applications to Diophantine problems
ST 145 Bret Nasserden, Simon Fraser University
On the construction of genus 2 curves with a full level 3 structure
17:30–17:45 ST 128 Jonathan Sorenson, Butler University
Two compact incremental prime sieves
ST 135 Sneha Chauby, University of Illinois Urbana-Champaign
Pair correlation of fractional parts derived from rationl valued sequences
ST 143 Samuele Anni, University of Warwick
Semistable elliptic curves over totally real fields and Diophantine equations
ST 145 Adam Logan, Government of Canada
New rigid Calabi-Yau threefolds from φ4theory
17:50–18:05 ST 128 Jens Bauch, Simon Fraser University
Montes Algorithm In Function Fields  
ST 135 Giovanni Coppola, University of Salerno
Elementary considerations on correlation averages
ST 143 Damaris Schindler, Institute for Advanced Study
Strong approximation and a conjecture of Harpaz and Wittenberg
ST 145 Amy Wooding, McGill University
Cycles on Unitary Shimura Varieties

Tuesday, June 21

8:30–9:30 ST Foyer Registration
9:30–10:30 ST 148 Jacob Tsimerman, University of Toronto (Ribenboim Prize Winner)
Jacobians isogenous to abelian varieties in finite characteristic
10:30–11:00 ST Foyer Coffee break
                               ∗ ∗ ∗  Special Session in Honour of Richard Guy ∗ ∗ ∗
11:00–12:00 ST 148 Joseph Silverman, Brown University
Moduli Space for Dynamical Systems
12:00-14:00 Lunch break
14:00–15:00 ST 148 Manjul Bhargava, Princeton University
Squarefree values of polynomial discriminants
15:00–15:30 ST 148 Andrew Bremner, Arizona State University
A cubic representation problem
15:30–16:00 ST Foyer Coffee break and registration
16:00–16:30 ST 148 Noam Elkies, Harvard University
Crossing numbers of large complete graphs
16:30–17:00 ST 148 Carl Pomerance, Dartmouth College
The first function and the Guy-Selfridge conjecture
17:15–18:30 ST 148 Public Lecture: Hugh C. Williams, University of Calgary
The life and numbers of Richard Guy
18:30–20:30 EEEL Lobby Reception

Wednesday, June 22

8:30–9:30 ST Foyer Registration
9:30–10:30 ST 148 Eyal Goren, McGill University
Singular moduli
10:35–11:05 ST 148 Gary Walsh, University of Ottawa
Remembering Richard Anthony Mollin
(with introductory remarks by Hugh C. Williams, University of Calgary)
11:05–11:25 ST Foyer Coffee break and registration
11:25–11:55 ST 140 Ellen Eischen, University of Oregon
Congruences,modular forms, and L-functions
ST 148 Youness Lamzouri, York University 
Character sums, class numbers, and values of Dirichlet L-functions at 
12:00–12:35 ST 140 Timothy Trudgian, Australian National University
(12:00–12:15) Square-free primitive roots
Richard McIntosh, University of Regina
(12:20-12:35) A relation between the universal mock theta function g2and Zwegers’ µ-function
ST 148 Jeff Thunder, Northern Illinois University
The discriminant problem: explicit results
12:40–12:55 ST 148 The Tutte Institute for Mathematics and Computing
12:55–  ∗ ∗ ∗ Free Afternoon ∗ ∗ ∗

Thursday, June 23

9:30–10:30 ST 148 Rachel Ollivier, University of British Columbia
Representations of p-adic groups and Iwahori-Hecke algebras
10:30–11:00 ST Foyer Coffee break and poster session
11:00–11:30 ST 140 Arthur Baragar, University of Nevada
On Apollonian circle packings and K3 surfaces
ST 148 Antonio Lei, Universite Laval
Iwasawa theory of modular forms over imaginary quadratic fields
11:35–12:05 ST 140 Katherine Stange, University of Colorado
Visualising the arithmetic of imaginary quadratic fields
ST 148 Matilde Lalın, Universite de Montreal 
The distribution of points on cyclic l-covers of genus g
12:05-13:45 Lunch break
13:45–14:45 ST 148 Samir Siksek, University of Warwick
Semistability, Uniformity and Modularity
14:45–15:15 ST Foyer Coffee break and poster session
15:15–15:45 ST 140 Patrick Ingram, Colorado State University
Some questions on the arithmetic dynamics of correspondences
ST 148 Jaap Top, Rijksuniversiteit Groningen
Richard’s favorite
15:45–16:00 Break
16:00–16:15 ST 128 Stephan Ehlen, McGill University
Regularized inner products of theta functions and special values of Eisenstein series on orthogonal groups
ST 141 Cindy (Sin Yi) Tsang, University of California Santa Barbara
Galois module structure of the square root of the inverse different in abelian extensions
ST 143 Alexander Dahl, York University
Non-vanishing of derivatives of twisted L-functions using a differentiated double Dirichlet series
ST 145 Nathan McNew, Towson University
Random multiplicative walks on the integers modulo n
16:20–16:35 ST 128 Nahid Walji, University of Zurich
On the distribution of Hecke eigenvalues for GL2
ST 141 Jack Klys, University of Toronto
The distribution of 3-torsion in cyclic cubic fields
ST 143 Oleksiy Klurman, Universite de Montreal 
Correlations of multiplicative functions and applications
ST 145 Joshua Holden, Rose-Hullman Institute of Technology
Counting fixed points of the singular map x → xxn modulo powers of a prime
16:40–16:55 ST 128 Robert Grizzard, University of Wisconsin
Slicing the stars
ST 141 Jose Ibrahim Villanueva Gutierrez, University of Bordeaux
On the Logarithmic Class Group
ST 143 Sam Chow, University of Bristol
Roth–Waring–Goldbach
ST 145 Adam Felix, KTH, Royal Institute of Technology
How close are p−1 and order of a modulo p?
16:55–17:10 Break
17:10–17:25 ST 128 Khoa Nguyen, University of British Columbia
An extension of results by Mahler and Corvaja-Zannier
ST 141 Jennifer Paulhus, Grinnell College
Completely decomposable Jacobian varieties
ST 143 Alexander Mangerel, University of Toronto
A refinement of a mean value estimate for complex-valued multiplicative functions
ST 145 Kevin McGown, California State University, Chico 
Statistics of genus numbers of cubic fields
17:30–17:45 ST 128 Arnab Bose, University of Lethbridge
Investigations on some exponential congruences
ST 141 Pedro Lemos, University of Warwick
Serre’s uniformity conjecture for elliptic curves with rational cyclic isogenies
ST 143 Kamalakshya Mahatab, Institute of Mathematical Sciences, Chennai
Measure theoretic analysis of error terms
ST 145 Andrew Fiori, University of Calgary
The average number of quadratic Frobenius pseudoprimes
17:50–18:05 ST 128 Dijana Kreso, Technical University of Graz
Lacunary polynomials and Diophantine equations
ST 141 Efthymios Sofos, University of Leiden
Serre’s problem on the density of isotropic fibres in conic bundles
ST 143 Ian Petrov, Ecole Polytechnique Federale de Lausanne
Moments of the trace of Frobenius of elliptic curves over finite fields with specified subgroup
ST 145 Lola Thompson, Oberlin College
On integers n for which xn1 has a divisor of every degree

Friday, June 24

9:30–10:30 ST 148 Rachel Pries, Colorado State University Galois action on Fermat curves and Heisenberg extensions
10:30–11:00 ST Foyer Coffee break
11:00–11:30 ST 140 Kirsten Eisentrager, Pennsylvania State University
A quantum algorithm for computing the unit group of a number field of arbitrary degree
ST 148 Jennifer Balakrishnan, University of Oxford
Rational points on curves and iterated p-adic integrals
11:35–12:05 ST 140 Asif Zaman, University of Toronto
The least prime ideal in the Chebotarev density theorem
ST 148 Sujatha Ramdorai, University of British Columbia
Iwasawa theory and residual Galois representations
12:05-13:45 Lunch break
13:45–14:45 ST 148 Adam Harper, University of Cambridge
Gaussian and non-Gaussian behaviour of character sums
14:45–15:15 ST Foyer Coffee break
15:15–15:30 ST 127 Allysa Lumley, York University
A zero density result for the Riemann zeta function
ST 128 Steffen Muller, University of Oldenburg
Computing canonical heights in polynomial time
ST 135 Sean Howe, University of Chicago
The p-adic Jacquet-Langlands correspondence for the quaternion algebra of invariant p and a question of Serre
ST 147 Fernando Xuancheng Shao, University of Oxford
Vinogradov’s three primes theorem with almost twin primes
15:35–15:50 ST 127 Stanley Xiao, University of Waterloo
Power-free values of binary forms and the global determinant method
ST 128 Aurore Guillevic, University of Calgary
Discrete logarithm computation record in a finite field GF(p3) of 508 bits with the Number Field Sieve algorithm
ST 135 Zafer Selcuk Aygin, Carleton University
A family of eta quotients and an extension of the Ramanujan-Mordell Theorem
ST 147 Xianchang Meng, University of Illinois Urbana-Champaign
Chebyshev’s bias for products of k primes
15:55–16:10 ST 127 Anders Sodergren, University of Copenhagen
Low-lying zeros of quadratic Dirichlet L-functions
ST 128 Jean-Francois Biasse, University of South Florida
Fast heuristic algorithms for computing relations in the class group of a quadratic order with applications to isogeny evaluation
ST 135 Alia Hamieh, University of Lethbridge
Determining Hilbert modular forms by the central values of Rankin-Selberg convolutions
ST 147 Joni Teravainen, University of Turku
Almost primes in almost all short intervals
16:15–16:30 ST 127 Jack Buttcane, SUNY Buffalo
The Kuznetsov formula on GL(3)
ST 128 Jonathan Webster, Butler University
Searching for small strong pseudoprimes
ST 135 Majid Shahabi, University of Calgary
Modular Forms and Automorphic Forms for GSpin(2n+1)
ST 147 Nathan Green, Texas A & M University
L-values and Shtuka functions in Drinfeld modules