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Week1
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Random Matrices, Strong Szegö's theorem and L functions>Random Matrices, Strong Szegö's theorem and L functions
Nonparametric and adaptive modeling of dynamic periodicity and trend with heteroscedastic and dependent errors>Nonparametric and adaptive modeling of dynamic periodicity and trend with heteroscedastic and dependent errors
Statistical Methods for cryo-EM Image Analysis>Statistical Methods for cryo-EM Image Analysis
Regression Spline: an Average Approach>Regression Spline: an Average Approach
Heterogeneous Domain Adaptation and Classification by Exploiting the Correlation Subspace>Heterogeneous Domain Adaptation and Classification by Exploiting the Correlation Subspace
3
Universality for Coulomb gases>Universality for Coulomb gases
4
Zeros of the Riemann Zeta-function (1)>Zeros of the Riemann Zeta-function (1)
Zeros of the Riemann Zeta-function (2)>Zeros of the Riemann Zeta-function (2)
5
Zeros of the Riemann Zeta-function (3)>Zeros of the Riemann Zeta-function (3)
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Week2
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Modular Blowups and Application to GW Theory — Survey on modular blowups and their applications to Gromov-Witten theory of Calabi-Yau threefold.>Modular Blowups and Application to GW Theory — Survey on modular blowups and their applications to Gromov-Witten theory of Calabi-Yau threefold.
The stack of stable log maps — A quick review on the basics of log geometry, Olsson's log stacks, and the stack of log curves>The stack of stable log maps — A quick review on the basics of log geometry, Olsson's log stacks, and the stack of log curves
Mirror theorem, Seidel representation, and holomorphic disks.>Mirror theorem, Seidel representation, and holomorphic disks.
9
Modular Blowups and Application to GW Theory — Why modular blowups work?>Modular Blowups and Application to GW Theory — Why modular blowups work?
The stack of stable log maps — On the construction of the stack of log maps>The stack of stable log maps — On the construction of the stack of log maps
10
Introduction>Introduction
Exponential -Kloosterman Sums>Exponential -Kloosterman Sums
Arithmetic Functions>Arithmetic Functions
Modular Blowups and Application to GW Theory — Applications to higher genus GW numbers of quintic threefolds.>Modular Blowups and Application to GW Theory — Applications to higher genus GW numbers of quintic threefolds.
The stack of stable log maps — Properties and examples of the stacks of log maps (finiteness, product structures, and decomposition formula)>The stack of stable log maps — Properties and examples of the stacks of log maps (finiteness, product structures, and decomposition formula)
11
Prime Number Theorem>Prime Number Theorem
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Week3
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Week4
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Subconvexity bounds for automorphic L-functions (1)>Subconvexity bounds for automorphic L-functions (1)
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Subconvexity bounds for automorphic L-functions (2)>Subconvexity bounds for automorphic L-functions (2)
Automorphic forms and L-functions on higher rank groups.>Automorphic forms and L-functions on higher rank groups.
24
Subconvexity bounds for automorphic L-functions (3)>Subconvexity bounds for automorphic L-functions (3)
Subconvexity bounds of L-functions.>Subconvexity bounds of L-functions.
25
Subconvexity bounds for automorphic L-functions (4)>Subconvexity bounds for automorphic L-functions (4)
26
Subconvexity bounds for automorphic L-functions (5)>Subconvexity bounds for automorphic L-functions (5)
Subconvexity bounds for automorphic L-functions (6)>Subconvexity bounds for automorphic L-functions (6)
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Week5
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