SCHEDULE

Semester Timeline
No.	Date	Topic	Remarks
1	Wed Feb 4	Hermite, Laguerre and Jacobi ensemble: the uniquitious triad	[Syllabus]
1*	Fri Feb 6	Paper discussion: Outlier eigenvalues for deformed i.i.d. random matrices	[Paper][Julia Notebook]
2	Mon Feb 9	Canceled due to snow storm
3	Wed Feb 11	Jacobi Ensemble: angle between subspaces, gsvd, CS decomposition and all that	[PS1]
2*	Fri Feb 13	How Random-Matrix Theory Found Its Way Into a Promising AIDS Study
	Mon Feb 16	no lecture	Presidents Day
4	Tue Feb 17	Orthogonal Polynomials, Cauchy-Binet Formula and its consequences
5	Wed Feb 18	Tracy-Widom Law	[PS2]
6	Mon Feb 23	Tracy-Widom Law, Fredholm Determinant and Determinantal Point Processes	[DPP for ML]
7	Wed Feb 25	Riemann-Hilbert problems
3*	Fri Feb 27	A simple derivation of the Tracy-Widom distribution	[Paper]
8	Mon Mar 2	Equilibrium Measure
9	Wed Mar 4	Eigenvalue Pertubation Theory and Dyson-Brownian Motion	[PS3]
10	Mon Mar 9	From Gaussian Ensembles to Stochastic Operators
11	Wed Mar 11	Random Growth Models
12	Mon Mar 16	Aztec Diamond and Longest Increasing Subsequence (LIS)	Tracy-Widom Notebook
13	Wed Mar 18	LIS, Group Representation and Baik-Deift-Johansson theorem	[Project List] [RSK Notebook]
	Mon Mar 23	no lecture	Spring Break
	Wed Mar 25	no lecture	Spring Break
14	Mon Mar 30	Orthongonal Polynomial Ensembles
15	Wed Apr 1	Jack Polynomials, Multivariate Orthongonal Polynomials and their applications I
16	Mon Apr 6	Jack Polynomials, Multivariate Orthongonal Polynomials and their applications II
17	Wed Apr 8	Random Polynomials
18	Mon Apr 13	Distribution of extreme eigenvalues and condition numbers of random matrices
	Wed Apr 15	Guest lecture: TBD
19	Mon Apr 20	no lecture	Patriots Day
20	Wed Apr 22	Free Probability I
21	Mon Apr 27	Free Probability II
22	Wed Apr 29	Free Probability III
23	Mon May 4	Project Presentation
24	Wed May 6	Project Presentation
25	Mon May 11	Project Presentation
26	Wed May 13	Project Presentation