Number Theory and Representation Theory Participants
- Mateo Attanasio
- Caroline Choi
- Yunseo Choi (2021 Regeneron Science Talent Search 1st Prize; 2024 Goldwater Scholar)
- Kevin Gomez
- Alexandra Hoey (2022 Alice T. Schafer Prize, Honorable Mention)
- Daniel Hu (2022 Goldwater Scholar)
- Jonas Iskander
- Steven Jin (2022 Churchill Scholar)
- Ikuya Kaneko
- Kaya Lakein
- Anne Larsen
- Sean Li (2021 Davidson Fellow)
- Jerry Lu
- Andrei Mandelshtam (2021 Davidson Fellow, Honorable Mention; 2024 Goldwater Scholar)
- Spencer Martin
- Margaret Michael
- Apoorva Panidapu (2021 Davidson Laureate)
- Carl Schildkraut
- Casia Siegel
- Fernando Trejos Suárez
Topology Participants
- Rebecca Bell
- Katherine Betts
- Ethan Clelland
- Allison Eckert
- Alexandra Emmons
- Calvin Godfrey
- Luz Grisales
- Troy Larsen
- Ryan Pesak
- Avery Schweitzer
- Jeffrey Utley
- Avalon Vanis
Number Theory and Representation Theory (June 7- July 16, 2021)
Projects
- Brauer groups for elliptic curves
- Divisors of Hecke trace modular forms and complex multiplication
- Elliptic curve Tamagawa products: Arithmetic statistics over number fields
- Lehmer-type conjectures for modular forms
- Mertens-type speculations for Mobius sums over number fields
Invited Speakers (Thursdays at 3pm)
- June 10th: Jennifer Balakrishnan (Boston University)
"A tale of three curves" - June 17th: Kannan Soundararajan (Stanford University)
"Distribution of prime numbers" - June 24th: Melanie Matchett Wood (Harvard University)
"Distributions of class groups and unramified extensions" - July 1st: Andrei Okounkov (Columbia University)
"Partitions, q-series, and multiple q-zeta values" - July 8th: Jordan Ellenberg (University of Wisconsin)
“Heights of rational points on stacks” - July 12th: Toni Bluher (NSA, Not on a Thursday)
“Dickson polynomials, Chebyshev polynomials, and Wilson-like theorems”
Mini-Courses (1:00pm-2:00pm)
- Abelian Varieties (June 14, 16, 18; Instructor: Prof. Evangelia Gazaki)
- Diophantine Approximation (June 21, 23, 25; Instructor: Postdoc Jinbo Ren)
- Representation Theory of S_n (June 28, 30, July 2; Instructor: Prof. You Qi)
Topology (June 7-July 30, 2021)
Projects
- Equivariant finite spaces and topological complexity (Mentor: Walker Stern)
- Alexander invariants of trisected 2-knots (Mentor: William Olsen)
- The tri-pants graph of the twice punctured torus (Mentor: Filippo Mazzoli)
Colloquia
- Tarik Aougab (Haverford)
- Jessica Purcell (Monash)
- Sang-hyun Kim (KIAS)
- Henry Segerman (Oklahoma State), June 16th at 4:00pm
"Triangulating the figure 8 knot complement" - Wojciech Chachólski (KTH), July 14th at 10:00am
"How to enable a machine to sense geometry"
Mini Courses
- An introduction to the fundamental group (Walker Stern)
- Curves on surfaces (Filippo Mazzoli)
- A crash course in knot theory (William Olsen)
Professional development/social activities
- Social mixer
- Latex Course
- Graduate School and Job panel
- Diversity panel
Topology Papers
- Rebecca Bell, Allison N. Eckert, Ryan M. Pesak, and Avery Schweitzer, A finite equivariant generalization of motion planning and topological complexity, submitted for publication.
- Katherine Betts, Troy Larsen, Jeffrey Utley, and Avalon Vanis, The Tri-Pants Graph of the Twice-Punctured Torus, submitted for publication.
Number Theory Papers
- Mateo Attanasio, Caroline Choi, Andrei Mandelshtam, and Charlotte Ure, Symbol Length in Brauer Groups of CM Elliptic Curves, Proceedings of the American Mathematical Society, accepted for publication.
- Yunseo Choi, Sean Li, Apoorva Panidapu, and Casia Siegel, Tamagawa products of elliptic curves over number fields, Journal de Théorie des Nombres de Bordeaux, recommended for publication.
- Kevin Gomez, Kaya Lakein, and Anne Larsen, Supersingular loci from traces of Hecke operators, Proceedings of the American Mathematical Society, accepted for publication.
- Alexandra Hoey, Jonas Iskander, Steven Jin and Fernando Trejos Suarez, An unconditional explicit bound on the error term in the Sato-Tate conjecture, Quarterly Journal of Mathematics (Oxford), accepted for publication.
- Daniel Hu, Ikuya Kaneko, Spencer Martin, and Carl Schildkraut, Order of zeros of Dedekind zeta functions, Proceedings of the American Mathematical Society, accepted for publication.
- Daniel Hu, Ikuya Kaneko, Spencer Martin, and Carl Schildkraut, On the Mertens Conjecture over Number fields , Mathematical Proceedings of the Cambridge Philosophical Society, accepted for publication.
- Ikuya Kaneko and Jesse Thorner,Highly uniform Prime Number Theorems, submitted for publication.
- Kaya Lakein and Anne Larsen, Some remarks on small values of Ramanujan's tau(n), Archiv der Mathematik (Basel), accepted for publication.
- Kaya Lakein and Anne Larsen, A proof of Merca's conjectures on sums of odd divisor functions, Bulletin of the Australian Mathematical Society, accepted for publication.