Column one has the course number and section. Other columns show the course title, days offered, instructor's name, room number, if the course is cross-referenced with another program, and a option to view additional course information in a pop-up window.
Course # (Section)
Title
Day/Times
Instructor
Room
PosTag(s)
Info
AS.110.602 (01)
Algebra
MW 12:00PM - 1:15PM
Shokurov, Vyacheslav
Algebra AS.110.602 (01)
An introductory graduate course on fundamental topics in algebra to provide the student with the foundations for Number Theory, Algebraic Geometry, and other advanced courses. Topics include group theory, commutative algebra, Noetherian rings, local rings, modules, and rudiments of category theory, homological algebra, field theory, Galois theory, and non-commutative algebras. Recommended Course Background: AS.110.401-AS.110.402
Credits: 0.00
Level: Graduate
Days/Times: MW 12:00PM - 1:15PM
Instructor: Shokurov, Vyacheslav
Room:
Status: Open
Seats Available: 13/15
PosTag(s): n/a
AS.110.607 (01)
Complex Variables
TTh 10:30AM - 11:45AM
Dodson, Benjamin
Complex Variables AS.110.607 (01)
Analytic functions of one complex variable. Topics include Mittag-Leffler Theorem, Weierstrass factorization theorem, elliptic functions, Riemann-Roch theorem, Picard theorem, and Nevanlinna theory. Recommended Course Background: AS.110.311, AS.110.405
Credits: 0.00
Level: Graduate
Days/Times: TTh 10:30AM - 11:45AM
Instructor: Dodson, Benjamin
Room:
Status: Open
Seats Available: 11/15
PosTag(s): n/a
AS.110.616 (01)
Algebraic Topology II
MW 12:00PM - 1:15PM
Riehl, Emily
Algebraic Topology II AS.110.616 (01)
Polyhedra, simplicial and singular homology theory, Lefschetz fixed-point theorem, cohomology and products, homological algebra, Künneth and universal coefficient theorems, Poincar&ecute; and Alexander duality theorems.
Credits: 0.00
Level: Graduate
Days/Times: MW 12:00PM - 1:15PM
Instructor: Riehl, Emily
Room:
Status: Open
Seats Available: 9/15
PosTag(s): n/a
AS.110.618 (01)
Number Theory II
TTh 3:00PM - 4:15PM
Sakellaridis, Ioannis
Number Theory II AS.110.618 (01)
Topics in advanced algebra and number theory, including local fields and adeles, Iwasawa-Tate theory of zeta-functions and connections with Hecke's treatment, semi-simple algebras over local and number fields, adele geometry.
Credits: 0.00
Level: Graduate
Days/Times: TTh 3:00PM - 4:15PM
Instructor: Sakellaridis, Ioannis
Room:
Status: Open
Seats Available: 6/15
PosTag(s): n/a
AS.110.619 (01)
Lie Groups and Lie Algebras
TTh 10:30AM - 11:45AM
Mese, Chikako
Lie Groups and Lie Algebras AS.110.619 (01)
Lie groups and Lie algebras, classification of complex semi-simple Lie algebras, compact forms, representations and Weyl formulas, symmetric Riemannian spaces.
Credits: 0.00
Level: Graduate
Days/Times: TTh 10:30AM - 11:45AM
Instructor: Mese, Chikako
Room:
Status: Open
Seats Available: 3/15
PosTag(s): n/a
AS.110.631 (01)
Partial Differential Equations I
MW 12:00PM - 1:15PM
Gavrus, Cristian D
Partial Differential Equations I AS.110.631 (01)
An introductory graduate course in partial differential equations. Classical topics include first order equations and characteristics, the Cauchy-Kowalewski theorem, Laplace’s equations, heat equation, wave equation, fundamental solutions, weak solutions, Sobolev spaces, maximum principles.
Credits: 0.00
Level: Graduate
Days/Times: MW 12:00PM - 1:15PM
Instructor: Gavrus, Cristian D
Room:
Status: Open
Seats Available: 11/15
PosTag(s): n/a
AS.110.633 (01)
Harmonic Analysis
TTh 10:30AM - 11:45AM
Sogge, Christopher
Harmonic Analysis AS.110.633 (01)
Fourier multipliers, oscillatory integrals, restriction theorems, Fourier integral operators, pseudodifferential operators, eigenfunctions. Undergrads need instructor's permission.
Credits: 0.00
Level: Graduate
Days/Times: TTh 10:30AM - 11:45AM
Instructor: Sogge, Christopher
Room:
Status: Open
Seats Available: 1/15
PosTag(s): n/a
AS.110.644 (01)
Algebraic Geometry II
TTh 10:30AM - 11:45AM
Han, Jingjun
Algebraic Geometry II AS.110.644 (01)
Affine varieties and commutative algebra. Hilbert's theorems about polynomials in several variables with their connections to geometry. General varieties and projective geometry. Dimension theory and smooth varieties. Sheaf theory and cohomology. Applications of sheaves to geometry; e.g., the Riemann-Roch Theorem. Other topics may include Jacobian varieties, resolution of singularities, geometry on surfaces, schemes, connections with complex analytic geometry and topology.
Credits: 0.00
Level: Graduate
Days/Times: TTh 10:30AM - 11:45AM
Instructor: Han, Jingjun
Room:
Status: Open
Seats Available: 13/15
PosTag(s): n/a
AS.110.646 (01)
Riemannian Geometry II
MW 10:30AM - 11:45AM
Sire, Yannick
Riemannian Geometry II AS.110.646 (01)
The goal of the course is to provide basic notions on the theory of smooth manifolds: Tangent and cotangent bundles, submanifold theory, Lie group actions, Tensor analysis, Differential forms and De Rham cohomology, Integration theory, Hodge theory and Bochner technique. Recommended Course Background: AS.110.645.
Credits: 0.00
Level: Graduate
Days/Times: MW 10:30AM - 11:45AM
Instructor: Sire, Yannick
Room:
Status: Open
Seats Available: 6/15
PosTag(s): n/a
AS.110.731 (01)
Topics in Geometric Analysis
MW 9:00AM - 10:15AM
Bernstein, Jacob
Topics in Geometric Analysis AS.110.731 (01)
Credits: 0.00
Level: Graduate
Days/Times: MW 9:00AM - 10:15AM
Instructor: Bernstein, Jacob
Room:
Status: Open
Seats Available: 8/15
PosTag(s): n/a
AS.110.733 (01)
Topics In Alg Num Theory
MW 1:30PM - 2:45PM
Savitt, David Lawrence
Topics In Alg Num Theory AS.110.733 (01)
Credits: 0.00
Level: Graduate
Days/Times: MW 1:30PM - 2:45PM
Instructor: Savitt, David Lawrence
Room:
Status: Open
Seats Available: 8/12
PosTag(s): n/a
AS.110.739 (01)
Topics in Analytic Number Theory
TTh 9:00AM - 10:15AM
Sagnier, Aurelien
Topics in Analytic Number Theory AS.110.739 (01)
This course will be on functional analysis (applied to number theory) and Connes-Meyer's spectral interpretation of zeroes of Hecke L functions. Topics will include : adeles, ideles, bornologies, spectral theory, condensed/liquid modules à la Scholze-Clausen, Pontryagin duality and almost-periodic functions, Tate's thesis, Connes-Meyer's spectral interpretation. Relations with category theory, quantum mechanics, Bost-Connes systems and non-commutative geometry will be evoked. This course will be designed to be appealing for students from analysis or from algebra.
