Wednesday
10:00 - 11:30
Nikhil Patel  The biggest open problem in Euclidean Ramsey Theory
Jack Hu  The AF+BG Theorem and its Geometric Consequences
Grayson Jarboe  Surfaces, hyperbolic geometry, and the 9g-9 theorem
Jalen Chrysos  The proof-theoretic strength of Ramsey Theorem and Konig Lemma
Eli Lowe  Convergence of Random Matrices and Wigner's Semicircle Law

1:00 - 2:30
George Bayliss   Some Models of Infinity Categories
Jinchen Zhao   Homotopical and infinite categorical monadicity theorem
Kaixu Zhang   Representatives of infinite commensurable classes with vanishing Seiberg--Witten invariants  
Leonardo de Medeiros  Toric Varieties and the Orbit-Cone Correspondence
Ryan O'Farrell   Topology, Gauge Theory, and the Most Quantized Thing Ever

3:00 - 4:30
Achyut Bharadwaj   Cochain Complexes and Group Cohomology
Liam Eifert   A short introduction to Lie Groups
Claudio Bastiani-Fonck  Jacobson Rings are Universally Jacobson, and the Nullstellensatz
Peter Zhou   Lawrence-Venkatesh method: monodromy, period map, and Diophantine equations
Zhengfu Chen  Iwasawa Theory of Number Fields

Thursday. 
10:00 - 11:30
Vaughn Komorech   Hypergraph jumps.
Jeremi Forman-Duranona   Ornstein's Theorem
Michael Lee   An introduction to functions of Bounded Mean Oscillation
Pranav Padmanabhan   Hausdorff dimension: a connection between analysis and computational complexity theory
Yao Yu  Condition for equivalence of random walk reflected off infinity, and random interlacement

1:00 - 2:30

Ze Fan   The Lubin-Tate Theorem and the Construction of Morava E-Theory
Keming Zhou   Symmetric monoidal categories, operadic categories, and Segal categories 1
Hongyi Zhang   Symmetric monoidal categories, operadic categories, and Segal categories 2
Kyle Roke  Symmetric monoidal categories, operadic categories, and Segal categories 3
Jiasen Liu   Symmetric monoidal categories, operadic categories, and Segal categories 4

3:00 - 4:30
Cavan Gabaldon O'Neill  Some fun phenomena in mapping class groups
Yili Wen  Configuration spaces and the Fadell-Neuwirth Fibration
Yuan Lu Pku  Introduction to Higgs bundle
Soyoko Uranchimeg  Representations via Line Bundles 
Lee Jake  The secondary Steenrod algebra

Friday
10:00 - 11:30
Seamus Lavine  Kaufman estimates for radial projections via complexity methods
Aditya Hayagriva Ramabadran  Weak convergence and concentration compactness in PDE
Isaac Chang  A basic introduction to Feynman-Kac and its applications
Zeke Fleissner-Kates  Burgers is BV: the Regularity Theory of Scalar Conservation Laws.
Xiaoxian Chen Sharpness of Phase Transitions in Bernoulli Percolation


1:00 - 2:30
Agustin Esteva   An Introduction to Random Planar Curves
Yawen Liu  The Mullin-type Bijection
Ellie Guha  The Lusternik Schnirelmann category and an application to topological complexity
Angela Yuan  Generalized Pontryagin-Thom for (B,f)-cobordism
William Easton  Kirby's proof technique for the Stable Homeomorphism Theorem (his "torus trick")

3:00 - 4:00
Samuel Coyle   A Cobordism Theory on Finite Spaces
Sofia Piccirillo   Topological K-theory and complex projective space
Mufan Yao   Formal Group Laws Tidbits




