SCHEDULE

Semester Timeline
No.	Date	Topic	Remarks
1	Wed Feb 7	Hermite, Laguerre and Jacobi ensemble: the ubiquitous triad	Syllabus
1*	Fri Feb 9	Optional Julia Tutorial by Steven Johnson	5pm, 32-141
2	Mon Feb 12	Semicircle, Quartercircle, Circular and other infinite RMT Laws	PS 1
3	Wed Feb 14	Random matrix decomposition, Cauchy-Binet Formula and its consequences
	Mon Feb 19	no lecture	Presidents Day
4	Tue Feb 20	Guest Lecture
5	Wed Feb 21	Guest Lecture
6	Mon Feb 26	Jacobi Ensemble: angles between subspaces, gsvd and CS decomposition
7	Wed Feb 28	Tracy-Widom Law
8	Mon Mar 5	Tracy-Widom Law, Fredholm Determinant and Determinantal Point Processes	PS 2
9	Wed Mar 7	Orthogonal Polynomials, Tridiagonal Matrices, Gaussian Quadratures, Lanczos and all that
10	Mon Mar 12	Riemann-Hilbert problem I
11	Wed Mar 14	Riemann-Hilbert problem II
12	Mon Mar 19	Eigenvalue Perturbation Theory and Dyson-Brownian Motion
13	Wed Mar 21	From Gaussian Ensembles to Stochastic Operators
	Mon Mar 26	no lecture	Spring Break
	Wed Mar 28	no lecture	Spring Break
14	Mon Apr 2	Jack Polynomials, Multivariate Orthogonal Polynomials and their applications I
15	Wed Apr 4	Jack Polynomials, Multivariate Orthogonal Polynomials and their applications II
16	Mon Apr 9	Random Growth Model, LIS, Group Representation and Baik-Deift-Johansson theorem
17	Wed Apr 11	Free Probability I
18	Mon Apr 16	no lecture	Patriots Day
19	Wed Apr 18	Free Probability II
*	Mon Apr 23	Guest Lecture
20	Wed Apr 25	Guest Lecture
21	Mon Apr 30	Free Probability III
22	Wed May 2
23	Mon May 7	lecture canceled (Hong Kong)
24	Wed May 9	RMT for Deep Learning II
25	Mon May 14	Project Presentation
26	Wed May 16	Project Presentation